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Events A and B are mutually exclusive. Suppose event A occurs with a probability of 0.15 and event B occurs with a probability of 0.4. Compute the following. (a) Compute the probability that B occurs but A does not occur. (b) Compute the probability that either A occurs without B occurring or B occurs without A occurring.
An arithmetic sequence is given below. 15,21,27,33, ... Write an explicit formula for the nth term an. an=
Use the following sample to estimate a population mean μ. 48.2 61.2 64 48.9 18.9 Assuming the population is normally distributed, find the 98% confidence interval about the population mean. Enter your answer as an open-interval (i.e., parentheses) accurate to two decimal places. 98% C.I. =
Simplify: (1.1)(2.2)(3.3) 3 * 0 / 4. If the given expression is undefined enter ∅ as your answer.
Maria invests a total of 14,500 in two accounts paying 4% and 12% simple interest, respectively. How much was invested in each account if, after one year, the total interest was 1,340.00. A) Enter an equation that uses the information as it is given that can be used to solve this problem. Use x as your variable to represent the amount of money invested in the account paying 4% simple interest. Equation: B) The answers are: was invested at 4% and was invested at 12%.
Solve the following logarithmic equation. ln (x+8)+ln (x-5)=2 ln x
The right triangle below is dilated by a scale factor of 1/4. Find the perimeter and area of the right triangle below, as well as the perimeter and area of the dilated right triangle. Express your answers as whole numbers, decimals, or fractions in simplest terms (no mixed numbers). Figures are not necessarily drawn to scale.
Evaluate the given expression for (w=A ; x=3, y=13, z=12) (fracxw+fracyz) (fracxw+fracyz=) , when (w=4, x=3, y=13, z=12)
A simple random sample of size n=36 is obtained from a population that is skewed right with μ=87 and σ=12. Describe the sampling distribution of x̄. ) What is P(x>90)? ) What is P(x ≤ 83)? d) What is P(84.7<x̄<90)? a) Choose the correct description of the shape of the sampling distribution of x̄. A. The distribution is uniform. B. The distribution is approximately normal. C. The distribution is skewed right. D. The distribution is skewed left. E. The shape of the distribution is unknown. Find the mean and standard deviation of the sampling distribution of x̄. μx̄=□ σx=□ (Type integers or decimals. Do not round.)
The spinner below shows 10 equally sized slices. Lisa spun the dial 40 times and got the following results. Outcome White Grey Black Number of Spins 14 11 15 Fill in the table below. Round your answers to the nearest thousandth. (a) From Lisa's results, compute the experimental probability of landing on white. (b) Assuming that the spinner is fair, compute the theoretical probability of landing on white. (c) Assuming that the spinner is fair, choose the statement below that is true: - With a large number of spins, there might be a difference between the experimental and theoretical probabilities, but the difference should be small. - With a large number of spins, there must be a large difference between the experimental and theoretical probabilities. - With a large number of spins, there must be no difference between the experimental and theoretical probabilities.
Choose the appropriate term for each definition below. - a bell-shaped probability density curve that (1) has the peak at 0; (2) symmetric about 0; (3) extends indefinitely in both directions, approaching but never touching the horizontal axis; (4) the empirical rule holds - a technique used to approximate the probabilities of a binomial random variable using the normal random variable with the same parameters O a bell-shaped probability density curve that (1) has the peak at μ; (2) symmetric about μ; (3) extends indefinitely in both directions, approaching but never touching the horizontal axis; (4) empirical rule holds O a curve that (1) is always on or above the horizontal axis; (2) has the total area between itself and the horizontal axis equal to 1 standard normal probability density curve O a continuous random variable that has the
Find the z-score that has 12.1% of the distribution's area to its left. The z-score is . (Round to two decimal places as needed.)
Which of the following is the graph of: y > 4
Divide. 36 z^4+32 z^3+9 z^2 / 4 z^2 Simplify your answer as much as possible.
Linear Equations and Inequalities Writing an inequality for a real-world situation Write inequalities to represent the situations below. At the airport, each piece of luggage to be checked in must weigh at most 50 pounds. Use w to represent the weight (in pounds) of a piece of luggage that can be checked in. Martina exercises no less than 50 minutes per day. Use t to represent Martina's amount of exercise (in minutes per day).
Suppose we describe the weather as either hot (H) or stormy (S). Answer parts (a) and (b) below. a. Using the letters H and S, list all the possible outcomes for the weather on two consecutive days. (Use a comma to separate answers as needed.)
A researcher studies water clarity at the same location in a lake on the same dates during the course of a year and repeats the measurements on the same dates 5 years later. The researcher immerses a weighted disk painted black and white and measures the depth (in inches) at which it is no longer visible. The collected data is given in the table below. Complete parts (a) through (c) below. Observation 1 2 3 4 5 6 Date 1 / 25 3 / 19 5 / 30 7 / 3 9 / 13 11 / 7 Initial Depth, Xi 45.7 41.7 47.3 45.9 38.2 68.9 Depth Five Years Later, Yi 43.2 40.8 43.4 47.6 33.7 71.0 Determine the test statistic for this hypothesis test. (Round to two decimal places as needed.) Find the P -value for this hypothesis test. P-value = (Round to three decimal places as needed.)
The number of cookies that Jane ate during each of the last five days is as follows: 0,1,4,7,8. Rounded to the nearest tenth, the standard deviation of the number of cookies eaten daily is
Convert the units of measure as indicated. 16,000 lb = T
Divide using the division algorithm. Write your answer in the form Q+R/D where the degree of R is less than the degree of D. (y^3-8)/(y-2)
Translate to an equation, then solve. A number multiplied by seven is negative thirty-five. Choose the correct equation. A. n-7=-35 B. 7 * n=-35 C. -35 * n=7 D. n+7=-35 The solution is n=.
In a sample of 800 U.S. adults, 191 think that most celebrities are good role models. Two U.S. adults are selected from this sample without replacement. Complete parts (a) through (c). (a) Find the probability that both adults think most celebrities are good role models. The probability that both adults think most celebrities are good role models is .057 (Round to three decimal places as needed.) (b) Find the probability that neither adult thinks most celebrities are good role models. The probability that neither adult thinks most celebrities are good role models is .579 (Round to three decimal places as needed.) (c) Find the probability that at least one of the two adults thinks most celebrities are good role models. The probability that at least one of the two adults thinks most celebrities are good role models is (Round to three decimal places as needed.)
Use the Rational Zero Theorem to find all the zeros of f(x)=-6x^3+11x^2+50x+8. Enter all the zeros as a comma separated list.
Find a degree 3 polynomial with real coefficients having zeros 1 and 3-2i and a lead coefficient of 1. Write P in expanded form. Be sure to write the full equation, including P(x)=.
Cost of a Movie Ticket The average cost of a movie ticket is 13. A random sample in a specific city of 41 movie theaters found that the average cost of a movie ticket was 13.12. If σ=0.38 and α=0.05, can it be concluded that the average cost of movie tickets in that city is not 13?
For the function shown in the graph, list the intervals on which the function is increasing, the intervals on which it is decreasing, and the location of all local extrema.
Ross enjoys reading scientific books in his free time. Ross reads an average (mean) of 19 books per year with a standard deviation of 4 books depending on his workload. How many books correspond to a standard score of z=3.5 ? -33 books 19 books 29 books 33 books
Find the product. [ left(x^2+5right)left(x^4-3right) ] [ left(x^2+5right)left(x^4-3right)= ]
Identify the absolute minimum and maximum values of the function on the given interval (when they exist). f(x)=4x-20tan^(-1)x ;[-3sqrt(3), 3sqrt(3)]
q(x) = 7/(3x^3) if x < 1 -5/3 x if x > 1 Step 1 of 3: Identify the general shape and direction of the graph of this function on the interval (-∞, 1).
Solve the equation for all real solutions in simplest form. 3 p^2 - 3 p - 6 = -2
Find the domain and range of the rational function. 1. f(x)=2/(x+1)
Use complements to find the probability that a card dealt from a full deck (no jokers) is as stated. (Count an ace as high.
lim as x approaches infinity of (sqrt(4-7x))/(4x^3-9) i. DNE ii. -4 / 9 iii. 0 iv. -7 / 4
Use a change of base formula to evaluate the logarithm. Give your answer rounded to four decimal places. log6 sqrt(2) log6 sqrt(2)= (Simplify your answer. Do not round until the final answer. Then round to four decimal places as needed.)
(x-500) / 14 > 2.95
Given the following method, what method call will return true? ``` public static boolean isValid(String input) boolean valid = true; if (input. length() != 11) valid = false; else if (input.charAt(3) != ' -' input.charAt(6) != '-') valid = false; else valid = Character.isDigit(input.charAt(0)) Character.isDigit(input.charAt(1)) Character.isDigit(input.charAt(2)) Character.isDigit(input.charAt(4)) Character.isDigit(input.charAt(5)) Character.isDigit(input.charAt(7)) Character.isDigit(input.charAt(8)) Character.isDigit(input.charAt(9)) Character.isDigit(input.charAt(10)); return valid; ``` isValid("123-45-67") isValid("123-456789") isValid("123-45-6789") isValid("ABC-45-6789")
A rock is dropped from the top of a 256-foot cliff. The height, in feet, of the rock above the water after t seconds is modeled by the polynomial 256-16 t^2. Factor this expression completely. 256-16 t^2=
Working at home: According to the U.S. Census Bureau, 42% of men who worked at home were college graduates. In a sample of 480 women who worked at home, 157 were college graduates. Part 1 of 3 (a) Find a point estimate for the proportion of college graduates among women who work at home. Round the answer to at least three decimal places. Part 2 of 3 (b) Construct a 95% confidence interval for the proportion of women who work at home who are college graduates. Round the answer to at least three decimal places.
Suppose that c(x)=4x^3-30x^2+5,029x is the cost of manufacturing x items. If possible, find a production level that will minimize the average cost of making x items. A. There is not a production level that will minimize average cost. B. 5,029 items C. 89 items D. 54 items
The diagram shows a triangle. What is the value of y ? y=
Find the value of x that makes j k.
Would it be reasonable to use the least-squares regression line to predict the final grade for a student who has missed 15 class periods? Why or why not? A. No-15 missed class periods is not possible B. No- 15 missed class periods is not possible and outside the scope of the model. C. Yes-15 missed class periods is possible and within the scope of the model D. No-15 missed class periods is outside the scope of the model. E. More information regarding the student is necessary to be able to make a decision
Which of the following is not a unit of measurement for area? Square feet in^3 Square inches ft^2
Consider the table below for the limit of f(h) as h approaches a from the left. h f(h) --------- 398.5 798 398.9 3990 398.99 39900 398.999 399000 Find the limit of f(h) as h approaches 399 from the left.
Solve the inequality (x+4)/(x+7) > -3 Give your answer in interval notation.
Compute (T2(x)) at (x=0.7) for (y=e^x) and use a calculator to compute the error (lefte^x-T2(x)right) at (x=1.4). [ T2(x)=square mathrmm ] [ lefte^x-T2(x)right=square ]
Question 1, 10.2.1 Linear Equations Part 1 of 4 For the equation, find three ordered pair solutions by completing the table. Then use any two of the ordered pairs to graph the equation. x - y = 6 Complete the table below x y - 0
A random sample of 5003 adults in a country includes 760 who do not use the internet. Construct a 95% confidence interval estimate of the percentage of adults in the country who do not use the Internet. Based on the result, does it appear that the percentage of adults in the country who do not use the internet is different from 47%, which was the percentage in the year 2000 ? Construct a 95% confidence interval estimate of the percentage of adults in the country who do not use the internet. 142% < p < 16.2% (Round to one decimal place as needed.) Does it appear that the percentage of adults in the country who do not use the internet is different from 47%? A. Because 47% is not contained within the confidence interval, it appears that the percentage of adults in the country who do not use the internet is different from 47%. B. Because 47% is not contained within the confidence interval, it does not appear that the percentage of adults in the country who do not use the internet is different from 47%. C. Because 47% is contained within the confidence interval, it does not appear that the percentage of adults in the country who do not use the internet is different from 47%. D. Because 47% is contained within the confidence interval, it appears that the percentage of adults in the country who do not use the internet is different from 47%.
Use Green's Theorem to evaluate the line integral [ intC(y-x) d x+(2 x-y) d y ] for the given path. [ C: x=2 cos (theta), y=sin (theta), 0 leq theta leq 2 pi ]
CTU Portal: Login is Intellipath (tm) for Student Intellipath (tm) For Student /RealiseitApp/Student aspx?Token=t8TpACGkcs YZ8%2bSHx8pSVzM7qPSuzxObBpY2lQsZeeF0XCA4xm1QXMwqsbe Unit 5 Probability and Statistical Graphs Learning map Histograms Learn: Histograms grams NO A distribution in which the observations pile up at the left end of the graphed histogram is said to be what? Symmetrical Normal Skewed right Skewed left o Submit answer Exit
Question 11, 5.1.37 Part 1 of 4 Use the graph to evaluate each expression. (a) (f+g)(2) (b) (f-g)(1) (c) (fg)(0) (d) (f/g) (1) (a) (f+g)(2)=
1601-1700: 17th Century 1701-1800: 18th Century 1801-1900: 19th Century 1901-2000: 20th Century 2001-2100: 21st Century ** The 1st century started in the year 1, which was more than 2000 years ago. We are now in the 21st century, which started in the year 2001. Example 7: What number century was 1945? Solution: The year 1945 was in the 20th century. Exercise 1. What is the day of week that is 21 days after February 13, Saturday? 2. January 1 of the year 2018 was Monday. What day of week was 40 days after January 1? 3. What is the date that is 49 days after June 25? 4. When October 1 is Saturday, what day of week is October 31? 5. How many days were there in February of the following years? a) 1800, b) 1900, c) 2000, d) 1918, e) 1984, f) 1820 6. What number century was each of the following years? a) 1945, b) 1300, c) 1899, d) 108, e) 1015, f) 2001
Find the exact value of tan^(-1)(1/sqrt(3)). a) -pi/3 b) pi/4 c) pi/3 d) pi/6
Use the following probability distribution to answer the following questions. x P(x) ------ 3 0.37 6 0.1 7 0.08 9 0.13 10 0.07 15 0.11 20 0.14 Calculate the mean and standard deviation of the distribution. You may round your answers to two decimal places, if necessary. μ=□ σ=□ What is the expected value of the distribution? □
Two characteristics of the Chi-square distribution is that: a) Not symmetrical and always skewed to the right b) Symmetrical and always skewed to the right c) Symmetrical and always skewed to the left d) Not symmetrical and always skewed to the left e) None of the preceding
Watch your cholesterol: The mean serum cholesterol level for U.S. adults was 198, with a standard deviation of 39 (the units are milligrams per deciliter). A simple random sample of 106 adults is chosen. Use O Cumulative Normal Distribution Table if needed. Round the answers to at least four decimal places. Part 1 of 3 (a) What is the probability that the sample mean cholesterol level is greater than 204? The probability that the sample mean cholesterol level is greater than 204 is.
Consider the following polynomial function. f(x)=(x+3)(x-2)^2 Step 2 of 3: Find the x-intercept(s) at which f crosses the axis. Express the intercept(s) as ordered pair(s).
(7a/4)^3
Answer the following. (a) An astronomer's infrared telescope is able to detect radiation with a wavelength of 5.32 × 10^-5 meters. Write this number in standard notation. (b) The diameter of Neptune at its equator is approximately 49,500 kilometers. Write this number in scientific notation.
Listed below are the ages of 11 players randomly selected from the roster of a championship sports team. Find the (a) mean, (b) median, (c) mode, and (d) midrange and then (e) determine how the resulting statistics are fundamentally different from those calculated from the jersey numbers of the same 11 players.
Multiply (3+2i)(3-2i)
A color printer prints 23 pages in 10 minutes. How many pages does it print per minute? pages per minute
What is the order of 1 modulo 10?
Completely factor 4s^4+8s^3-60s^2 4s^2(s+5)(s-3) 4s^2(s-15)(s+4) 4s^2(s-5)(s+3) This polynomial does not factor.
Una persona tiene 100000 en 30 billetes, algunos de 2000 y el resto de 10000. ¿Cuántos billetes más tiene de 2000 que de 10000?
The profit for a company that produces discount sneakers can be modeled by the quadratic function P(x)=4x^2-24x+220, where x is the number of pairs of sneakers sold. (a) For how many pair(s) of sneakers did the profit reach its lowest point? The low point for the profit is when [] pair(s) of sneakers were sold.
Use the quotient rule to simplify. z^4 / z^2 z^4 / z^2 = □
Find the solution to the system of equations.
The company has an income tax rate of 47% (0.47). What is the company's income after taxes? Round your answer to the nearest tenth if necessary.
Find the inverse of the following function, if possible. g(x) = 3/(2x+4) g^(-1)(x) =
Trouve l'aire de la figure ABCD.
Write the equation of this line in slope-intercept form. Write your answer using integers, proper fractions, and improper fractions in simplest form.
The number of computers sold per day at a computer store is defined by the probability distribution below. Complete parts (a) through (d). X: 0, 1, 2, 3, 4, 5, 6 P(x): 0.04, 0.07, 0.16, 0.22, 0.21, 0.28, 0.02 a. Find P(3 ≤ x<6). P(3 ≤ x<6)=0.71 (Do not round.) b. Find P(x>3). P(x>3)=
Esmerelda rents a car from a company that rents cars by the hour. She has to pay an initial fee of 50, and then they charge her 9 per hour. She has 200 available to spend on car rental. What is the greatest number of hours for which she can rent the car? (The car cannot be rented for part of an hour.) 17 hours 22 hours 16 2/3 hours 16 hours
Consider the following functions. f(x) = sqrt(x-4) and g(x) = sqrt[3]x Find the formula for (f+g)(x) and simplify your answer. Then find the domain for (f+g)(x). Round your answer to two decimal places, if necessary.
Find the common logarithm of 0.0352 log 0.0352= (Round to four decimal places as needed.)
Use a half-angle formula to evaluate the expression without using a calculator. csc (15π/8) a. What is the measure of the half-angle α/2 ? α/2= (Type an exact answer in terms of π. Use integers or fractions for any numbers in the expression.)
f: R^2 -> R^2, f(x, y) = (ax-2, by+3b) fonksiyonu sabit fonksiyon olduğuna göre a+b toplamı kaçtır? A) 5 B) 2 C) 1 D) -1 E) -3
The fox population in a certain region has an annual growth rate of 9 percent per year. It is estimated that the population in the year 2000 was 19500. (a) Find a function that models the population t years after 2000 ( t=0 for 2000). Your answer is P(t)=
Find the derivative of the function. Do not find the product before finding the derivative. y=5 x^2(4 x^4-3 x^2) Choose the correct answer below. A. y'=(4 x^4-3 x^2)(16 x^3-6 x)+(10 x)(5 x^2) B. y'=(5 x^2)(4 x^4-3 x^2)+(16 x^3-6 x)(10 x) C. y'=(5 x^2)(16 x^3-6 x)+(4 x^4-3 x^2)(10 x) D. y'=(4 x)(5 x^2)+(4 x^4-3 x^2)(16 x^3-6 x)
Use the Squeeze Theorem to find the limit as x approaches 7 of f(x), given that 6 - x - 7 ≤ f(x) ≤ 6 + x - 7.
Solve the equation on the interval (0 leq theta<2 pi). [ 8 sin ^2 theta-17 sin theta+9=0 ] What is the solution in the interval (0 leq theta<2 pi) ? Select the correct choice and fill in any answer boxes in your choice below. A. The solution set is (square) (Simplify your answer. Type an exact answer, using (pi) as needed. Type your answer in radians. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.) B. There is no solution.
Consider the following functions. f(x) = x and g(x) = x Step 1 of 4 : Find (f+g)(-2).
If one of the 1156 people is randomly selected, find the probability that the person is a man or a heavy smoker.
For a segment of a radio show, a disc jockey can play 7 records. If there are 11 records to select from, in how many ways can the program for this segment be arranged? ways
Solve the inequality. Write the solution set in interval notation if possible. Simplify your answer, if necessary. d^4 - 37d^2 + 36 ≤ 0 Part 1 of 4 The inequality is already in the form F(d) ≤ 0. Now, find the real solutions to the related equation F(d) = 0. (d^2 □)(d^2 □) = 0
Determine whether the given statement is true or false. 9 not in 1,2,3, ..., 24 Choose the correct answer below. True False
Find the critical value for a left-tailed test using the F distribution with α=0.025, degrees of freedom in the numerator =20, and degrees of freedom in the denominator =50. A portion of the table of critical values of the F-distribution is provided. What is the critical value? (Round to two decimal places as needed.)
Time Magazine reports the "Divorce" rate has dropped to a 40-year low. Time's estimate is that 1.69% of married women get "Divorced" each year. We will take a sample of n=700 married women and model the proportion who got "Divorced" last year. (You will need to determine the mean and standard deviation for the p-hat model. Round your SD to four decimal places.) Question: P(25 or fewer women got "Divorced" last year) = Round your answer to four decimal places.
parxmaths.uk Maths 4.572 XP Roo Holcombe Mer 4A 4B 4C 4D Summary Bookwork code: 4D Calculator not allowed Round 7982 to 2 significant figures. Watch video
Solve the equation for P. N = (9/7)P + 26 P = □ (Simplify your answer.)
Find the exact value of csc[2 tan^(-1)(-3/4)].
If P(E)=0.71, find the odds in favor of E What are the odds in favor of E?
Mrs. Page is taking a group of students to see an exhibit. The cost of the bus rental is 250 and the cost per ticket to see the exhibit is 15. Create an equation with two variables that models this situation, and find the total cost for the event if 40 students teachers plan to attend. C=250-15 x ; 600 C=250+15 x ; 265 C=250 x+15: 10,015 C=250+15 x ; 850
In 2000, 52% of the residents in a large city regularly used newspapers for getting news and this has decreased at an average rate of approximately 1.8% per year since then. Find a linear function in slope-intercept form that models this description. The function should model the percentage of residents, P(x), who regularly used the news outlet x years after 2000. P(x)=
(a) Which measures of central tendency do not exist for this data set? Choose all that apply. Mean Median Mode All of these measures exist (b) Suppose that the measurement 182 (the largest measurement in the data set) were replaced by 245 . Which measures of central tendency would be affected by the change? Choose all that apply. Mean Median Mode None of these measures (c) Suppose that, starting with the original data set, the largest measurement were removed. Which measures of central tendency would be changed from those of the original data set? Choose all that apply. Mean Median Mode None of these measures (d) The relative values of the mean and median for the original data set are typical of data that have a significant skew to the right. What are the relative values of the mean and median for the original data set? Choose only one. Mean is greater Median is greater Cannot be determined
Decide which of the ordered pairs are solutions for the equation (y=3 x-2). (0,-2) solution not a solution
Homework (Ch 15) Suppose Fire Dragon charges 2.75 per bottle. Your classmate Taio says that because Fire Dragon is a monopoly with market power, it should charge the higher price of 3.00 per bottle in order to increase its profit. Complete the following table to determine whether Taio is correct. Price (Dollars per bottle) Quantity Demanded (Cans) Total Revenue (Dollars) Total Cost (Dollars) Profit (Dollars) 2.75 1,500 4,125.00 - 3.00 1,000 3,000.00 - Given the earlier information, Taio is correct in his assertion that Fire Dragon should charge 3.00 per bottle. Suppose that a technological innovation decreases Fire Dragon's costs so that it now faces the marginal cost (MC) and average total cost (ATC) given on the following graph. Specifically, the technological innovation causes a decrease in average fixed costs, thereby lowering the ATC curve and moving the MC curve.
If P(A)=0.72, P(B)=0.11, and A and B are independent, find P(A B). A. 0.72 B. 0.83 C. 0.11 D. 0.0792
Evaluate the following limit. Enter an exact answer. lim (x -> -8) (x^2 - 64) / (x + 8) = Number T
Given the function below: f(x)=1.5(x-6)(x-4) What is the vertex for the graph of f(x) ? Enter your answer using coordinate pair notation. What is the stretch/compression factor for the graph of f(x) when compared to the graph of y=x^2 ? Stretch/Compression Factor:
Find the equation of the line tangent to the graph of f(x) = (ln x)^2 at x = 8.
Use synthetic division and the Remainder Theorem to find the indicated function value. f(x)=x^4+3x^3+6x^2-7x-7; f(4) f(4)=
Solve the equation with rational exponents. Check all proposed solutions. 4 x^(7/5)-28=0 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution set is (Type an exact answer in simplified form. Use a comma to separate answers as needed.) B. The solution set is ∅.
Perform the indicated operation and express the result as a simplified complex number. If (y=x^3-2), evaluate (y) given (x=1).
y=ln(ln(4x)) dy/dx=
Divide the polynomial by the monomial denominator by writing the fraction as the sum (or difference) of fractions [ (3 x^5+9 x^3-4)/(x^4) ]
Use the nth-term test for divergence to show that the series is divergent, or state that the test is inconclusive. The series is ∑ from n=1 to ∞ of n/(n+5). A. The test is inconclusive. B. The series diverges.
A = 9,8,0,2,7 A = Ex: 50 P(A) = EX: 5
Solve the inequality for (u). [10 > fracu4] Simplify your answer as much as possible.
Solve the inequality, and graph the solution set. (4x+5)/(x-2) ≤ 0
Simplify and convert to radical notation. If r^(5 / 20) = sqrt[-](r^n) then m = and n =
Let F(x)=tan(x-3) for x<3, cos(x-3) for 3 ≤ x. Then lim x→3- F(x)=
Divide using synthetic division. (3x^2+7x-5) ÷ (x+4)
Divide the polynomial by the monomial denominator by writing the fraction as the sum (or difference) of fractions. Simplify your answer, if possible. (-5x-5)/(-5)
Sea (an=operatornamesen(n) / n) La sucesión (leftanright) converge a 1
Comparisons of Inequality: más/menos Ejercicio 1 Haz comparaciones según las indicaciones. Usa más/menos que. MODElos: El sofá cuesta 550. El sofá-cama cuesta 800. (cuesto) → El sofá cuesta menos que el sofá-cama. La casa de mi prima tiene dos balcones. Mi casa tiene un balcón. (tiene) → La casa de mi prima tiene más balcones que mi casa. 1. La mesa pesa veinticinco kilos. El sillón pesa cuarenta y ocho. (pesa) La mesa pesa menos que el sillón. 2. En mi casa viven ocho personas. En la casa de los vecinos viven cinco. (viven) En mi casa viven más personas que en la casa de los vecinos. 3. La casa de los Chen tiene cuatro dormitorios. La casa de los vecinos tiene dos. (tiene) La casa de los Chen tiene más dormitorios que la casa de los vecinos. 4. En el patio de mis abuelos hay tres árboles. En nuestro patio hay cinco. (hay) En el patio de mis abuelos hay menos árboles que en nuestro patio. 5. Eloy tiene dos perros. Omar tiene un perro. (tiene) Eloy tiene más perros que Omar.
Select your answer (13 out of 14) At a rehearsal dinner the night before a wedding, the bride and groom need to assign 10 people to two tables of five people. How many different seating arrangements are there?
- Approximately 68 percent of the data are within one standard deviation ( σ ) of the mean ( μ ). - Approximately 95 percent of the data are within two standard deviations ( σ ) of the mean ( μ ). - Approximately 99.7 percent of the data are within three standard deviations (σ) of the mean (μ). 2. The mean of people 65 and older in populations across all U.S. counties is 18% and the interval and the percentage of data each comprises, based on the normal approximation of those values. In other words, label the intervals with the percentages of the curve they represent. Each interval will have a value.
Listed below are the amounts of net worth (in millions of dollars) of the ten wealthiest celebrities in a country. Construct a 99% confidence interval. What does the result tell us about the population of all celebrities? Do the data appear to be from a normally distributed population as required? 250 220 175 168 160 158 153 153 153 148 What is the confidence interval estimate of the population mean μ ? million < μ < million (Round to one decimal place as needed.)
Which of the following ratios are equivalent? Select all correct options
Exercice I: 1. Simplifier l'écriture des rationnels suivants, puis indiquer lesquels sont des décimaux: A=(2^3 * 3^2 * 5^3)/((-2)^2 *(-3) * 5^4) B=((-7)^-2 * 3 * 11^-3)/(7^-3 * 3^2 * 11^(4-2)) C=(2^3 * 10^-4-3^2 * 10^-3)/((-41) * 10^-3) 2. Simplifier chacune des écritures suivantes: D=4 a b^3 *(-2 a^5 b^-1) E=-2 *(-3 x^3)^3 F=(a^4 * a^-10 * a^2)/(a^5 * a^-8) 3. Ecrire l'expression suivante sous la forme d'une fraction irréductible : G=(0,04 * 2^-2 *(10^-3)^3 * 10^2)/(3 * 10^-8 * 10^-2) 4. Donner l'écriture scientifique de l'expression suivante : H=(2^2 * 10^-10 * 2^7 * 10^-6)/(-32 * 10^-10) 5. Ecrire I sous la forme a^n b^m c^p où m, n et p sont des entiers relatifs : I=((a b^2)^2(a b^-1)^3(a^2 b)^-2)/(a^2 c^-5(a^-1 b c^2)^3) Exercice II : 1. Développer, réduire et ordonner: A=4 x^2-(2 x+5)(x+4) C=-3(a^2+2)-(a-3)(2 a+7) E=(2 x-1)^2+(1/2 x+1)^2-x^2+1 B=(2 x^3+3)^2-(5+x)(5-x) D=(12 x+3)(2 x-7)-(x+1)^2 F=-2^2(x+1)^2+(-2)^2 *(-2)(x-2)(x+2)
Solve for (v). [ v^2+8 v+16=0 ] If there is more than one solution, separate them with commas. If there is no solution, click on "No solution." [ v= ]
What does (1/(cos x+1))-(1/(cos x-1)) equal? A. 2/(-sin^2 x) B. 2 csc^2 x C. 1 D. -sin^2 x
Use the point-slope formula to find an equation of the line passing through the point (4,-6) and having slope 3. Write your answer in slope-intercept form.
Consider the following functions. f=(-4,-1),(-3,-1),(-2,-3),(3,0) and g=(5,3),(4,-1),(-2,-4),(-4,-5) Step 1 of 4: Find (f+g)(-2).
Finding the perimeter or area of a rectangle given one of these values The length of a rectangle is 3 in longer than its width. If the perimeter of the rectangle is 26 in, find its area.
В треугольнике PQR на стороне PQ выбрана точка K, а на стороне QR - точка Lн Отрезки PL и KR пересекаются в точке T. Чему равня площадь треугольника PQR, если SPKT=11, SPIR=12, SRTL=13?
Newhard Company applies overhead cost to jobs on the basis of 113% of direct labor cost. Job 313 includes 1,800 units and its job cost sheet contains 37,248 in direct materials and 10,400 in direct labor. Required: a. What is the total manufacturing cost applied to Job 313? b. What is this job's unit product cost?
One study claimed that 87% of college students identify themselves as procrastinators. A professor believes that the claim regarding college students is too high. The professor conducts a simple random sample of 143 college students and finds that 117 of them identify themselves as procrastinators. Does this evidence support the professor's claim that fewer than 87% of college students are procrastinators? Use a 0.01 level of significance. Compute the value of the test statistic. Round your answer to two decimal places.
Use the Square Root Property to solve the quadratic equation 3z^2 + 11 = 14 use a comma to separate solutions z=
Use the Empirical Rule. The mean speed of a sample of vehicles along a stretch of highway is 64 miles per hour with a standard deviation of 3 miles per hour. Estimate the percent of vehicles whose speeds are between 61 and 67 miles per hour. (Assume the data set has a normal distribution.) Approximately % of vehicles travel between 61 miles per hour and 67 miles per hour.
Debra must choose a number between 49 and 95 that is a multiple of 2,3 , and 9 . Write all the numbers that she could choose. If there is more than one number, separate them with commas.
Find the antiderivative: [ int frac8 x^6+6 x^3+8x^5 d x= ] [ +C ]
Evaluate the limit as n approaches infinity of (sqrt(16n^2 + 7n) - 4n). Enter your answer as a reduced fraction.
Construct a data set that has the given statistics. N=6 μ=6 σ=2 A. The most common value in the population data set. B. The range of the population data set. C. The mean of the population data set. D. The difference between all the values in the population data set. This means the population mean of the 6 values in the data set s. What does the value σ mean? A. The range of the population data set. B. The number of values that equal the population mean. C. The spread of the data from the population mean. D. The most common value in the population data.
One card is drawn from an ordinary deck of 52 cards. Find the probabilities of drawing the following cards. a. A 5 or 9 b. A red card or an 8 c. A 9 or a black 8 d. A diamond or a black card e. A face card or a heart
(18/12 t-7) 2
Based on a poll, 63% of Internet users are more careful about personal information when using a public Wi-Fi hotspot. What is the probability that among three randomly selected Internet users, at least one is more careful about personal information when using a public Wi-Fi hotspot? How is the result The probability that at least one of them is careful about personal information is (Round to three decimal places as needed.).
Find the space inside a parallelogram with a base of 17 and a height of 14.
10/(1/4)
Solve. Verify your result by checking that it satisfies or approximately satisfies the original equation. 3^(4x+7)=15 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. x= (Round to four decimal places as needed.) B. There is no real-number solution.
Given that g(x)=x^5, find (g ∘ g)(x). (g ∘ g)(x)= (Simplify your answer.)
Begin by graphing f(x)=2^x. Then use transformations of this graph to graph the given function. Be sure to graph and give the equation of the asymptote. Use the graph to determine the function's domain and range. If applicable, use a graphing utility to confirm your hand-drawn graphs. g(x)=2^x-2 Which transformation is needed to graph the function g(x)=2^x-2 ? Choose the correct answer below. A. The graph of f(x)=2^x should be shifted 2 units downward. B. The graph of f(x)=2^x should be shifted 2 units upward. C. The graph of f(x)=2^x should be shifted 2 units to the right. D. The graph of f(x)=2^x should be shifted 2 units to the left. Graph g(x)=2^x-2 and its asymptote. Use the graphing tool to graph the function as a solid curve and the asymptote as a dashed line. The equation of the asymptote for g(x)=2^x-2 is . (Type an equation.) The domain of g(x)=2^x-2 is . (Type your answer in interval notation.) The range of g(x)=2^x-2 is .
Weight Away, a company that sells weight-loss plans, often advertises the effectiveness of its plans by highlighting the stories of a few clients who have lost extraordinary amounts of weight. The following histogram gives information about more "typical" clients, summarizing the weight loss (in pounds) over the past month for a sample of 50 clients. Based on the histogram, find the proportion of weight loss values in the sample that are less than 40 pounds. Write your answer as a decimal, and do not round your answer.
Sixty students were given a history exam. Their scores are shown below, sorted from smallest to largest. 9 32 33 34 35 37 38 38 39 39 40 40 42 43 43 47 53 65 67 69 71 72 72 73 73 73 74 75 75 75 76 76 77 77 77 77 77 78 78 78 79 79 81 81 81 81 81 82 83 83 84 85 85 85 85 86 88 91 93 94 1) Compute the 5-number summary for this data: 9 43 75 81 94 2) Create a histogram of the data. You can create it using software on your computer, using online software, or you can draw it by hand and scan it or take a picture of it. If you can't figure out how to include your histogram in the entry area below, you are welcome to email it to me instead. 3) Finally, write a couple sentences describing what conclusions you can draw about performance on the exam from the 5-number summary and the histogram.
Seven of the 100 digital video recorders (DVRs) in an inventory are known to be defective. What is the probability that a randomly selected DVR is defective? The probability is
The "net up" counter (using technology to count fish passing upstream) at Roe River42 showed that there were 5801 fish in 2006, but that number dropped by 1911 fish in 2013. Compute the percentage change from 2006 to 2013: %.
Use properties of logarithms to condense the logarithmic expression below. Write the expression as a single logarithm whose coefficient is 1. Where possible, evaluate logarithmic expressions. 4 ln x + 3 ln y - 2 ln z 4 ln x + 3 ln y - 2 ln z =
Solve (2 x^2+16 x-1>-2 x^2+12 x+47). Enter the solution in interval notation.
Factor. 81 a^2-25 81 a^2-25= (Factor completely.)
Find the derivative of the function g(x) = e^x / (5-5x)
(5x^4 - 2x^2 + 2x + 9) / (x^3 - x + 6)
Suppose 52% of the population has a college degree. If a random sample of size 563 is selected, what is the probability that the proportion of persons with a college degree will differ from the population proportion by less than 5%?
If the Central location used 120 notepads, use the graph to determine how mary notepads the Midtown location used. Use the barchart and table to determine how many notepads per department the Midtown location used.
The function h is defined below. h(x) = (x-8)/(x^2-5x-36) Find all values of x that are NOT in the domain of h. If there is more than one value, separate them with commas.
Decide whether the given number is a solution of the equation. Is 1/3 a solution of (x+10)/(9-x)=31/26 ? Choose the correct answer below. Yes No
The data in the table represent the ages of the winners of an award for the past five years. Use the data to answer questions (a) through (e) 60 25 41 47 44 9 (a) Compute the population mean, μ μ= (Type an integer or a decimal)
Which of the following measures the length of time it takes to acquire, sell, and replace inventory? O. inventory turnover O. retail method of inventory costing Oc. gross profit method of inventory costing Od. days' sales in inventory
Finding a difference quotient for a linear or quadratic function Find the difference quotient (f(x+h)-f(x))/h, where h ≠ 0, for the function below. f(x)=-8x+4 Simplify your answer as much as possible. (f(x+h)-f(x))/h= П.
Factor completely. 10x^3 - 81x^2 - 81x
Find the equation of the horizontal line that contains the point (8,-7). Express the equation using either the general form or the slope-intercept form of the equation of a line. The equation of the line is . (Type an equation.)
If f(-4)=16 and f(4)=16, then f cannot have an inverse because it is not a one-to-one function.
If log81 x = 1/2, find the value of x without a calculator. x =
In this assignment you will practice building and interpreting confidence intervals. Confidence intervals are used to give a range of plausible values for the population mean or proportion under consideration. If you have ever read the results of a poll, you might recall that a percentage is given followed by the statement, "...plus or minus..." some value. For example, the presidential approval rating is 49% plus or minus 1.73%. The 49% is the sample proportion with the 1.73% noting the margin of error. Understanding how confidence intervals are built and interpreted will help you become a better consumer of information. Confidence intervals are used in a variety of applications besides analyzing polling data. For instance, manufacturing clothing (sizes are based on an average plus or minus an acceptable error), volume of food items (the 12 oz cereal box holds on average 12 oz plus or minus a margin of error), lifetimes of items (a lightbulb will last on average 400 hours plus or minus an acceptable error), etc. Task Based on USDA suggestion, a U.S. adult should be spending anywhere from 165 to 345 per month on food, depending on age and gender. A random sample of 120 adults in Washington State is polled regarding the amount of money they spend each month on food. The sample has an average of 273.61 with a standard deviation of 61.59. Based on this information, complete the following questions. a) (5pts)Show that the requirements to build a confidence interval are met. b) (5 pts) State the critical value for a 90% confidence interval c) (5pts)Compute the 90% confidence interval. State values to two decimal places. d) (5pts) Interpret the 90% confidence interval using complete sentences.
Iris weighed 5 large watermelons from her garden. Here are the weights in pounds. 17, 11, 12, 24, 22 What is the mean weight of the watermelons? a. 11 pounds b. 24 pounds c. 21 pounds d. 19 pounds
Solve the following equation. Be sure to check your proposed solution by substituting it for the variable in the given equation. 6x-4=3x-70
The proportion of U.S. births that result in a birth defect is approximately 1/33 according to the Centers for Disease Control and Prevention (CDC). A local hospital randomly selects five births and lets the random variable X count th number not resulting in a defect. Assume the births are independent. What is the probability that exactly two births do not result in defects? 0.0003 0.1328 0.0008 0.0082
Find the difference between the highest and lowest temperatures.
Find the requested approximation for the definite integral using the indicated value of n. Give all answers to three decimal places, when necessary. Find Ln, Rn, and their average ∫ from 3 to 6 (x^2 - 2) dx: n=3
Determine whether the following function is a polynomial function. If the function is a polynomial function, state its degree. If it is not, tell why not. Write the polynomial in standard form. Then identify the leading term and the constant term. f(x)=6-4/x Determine whether f(x) is a polynomial or not. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. It is not a polynomial because the variable x is raised to the power, which is not a nonnegative integer. (Type an integer or a fraction.) B. It is a polynomial of degree . (Type an integer or a fraction.)
If the underlying populations cannot be assumed to be normal, then by the central limit theorem, the sampling distribution of (barX1-barX2) is approximately normal only if both sample sizes are sufficiently large-that is, when Multiple Choice - (n1+n2=30) - (n1+n2 geq 30) - (n1=30) and (n2=30) - (n1 geq 30) and (n2 geq 30)
Use the properties of logarithms to evaluate the expression without the use of a calculator. [ log a a, a>1 log a a= ]
Find the 10th term of the arithmetic sequence 2, 6, 18, 54, ... a. 4,374 b. 13,122 c. 39,366 d. 118,098
Find the domain of the function. (Enter your answer using interval notation.) f(x) = sqrt(x) + sqrt(5-x)
Day 3 Unit 3 Determining Equations from Graphs 1) (Exemplar) Consider the following graph. a. Determine the following information for the graphed function. (i) Midline (ii) Period (iii) Angular speed (iv) Amplitude
Consider the function f(x)=(1/6)^x a. Graph the function. b. Equation of the asymptote: c. Domain in interval notation: d. Range in interval notation:
Identify the type of sequence Match the sequence to the type of property it presents Matching · 3 points a. ak=2,3,3,4,5,6,7,7 Choose an answer b. bk=6,5,3,2,1,0,-2,-3 Choose an answer c. ck=7,4,8,3,2,5,4,2 Choose an answer d. dk=7,5,5,4,3,2,2,1 Choose an answer e. ek=-6,-4,-2,0,1,2,3,5 Choose an answer
f(x)=(x^2+1)e^(4x)