Math Homework Questions & Answers Archive

(c) Find the open interval(s) on which f is concave upward. (Enter your answer using interval notation.) (d) Find the interval(s) on which f is concave downward. (Enter your answer using interval notation.) (e) Find the coordinates of the point(s) of inflection. (x, y)=( x)

Two cards are selected from a standard deck of 52 playing cards. The first card is not replaced before the second card is selected. Find the probability of selecting a queen and then selecting a five. The probability of selecting a queen and then selecting a five is (Round to three decimal places as needed.)

Simplify by factoring. √40

Sophie is baking chocolate chip cookies for her friends. The recipe for one batch requires 2 1/3 cups of flour. Sophie wants to make 1 3/4 times the recipe to have enough cookies for everyone. How many cups of flour does she need in total?

Solve each triangle ABC that exists. A=37.9° a=3.3 c=12

The equation of a line is given below. 3 x-2 y=-18 Find the x-intercept and the y-intercept. Then use them to graph the line. x-intercept: y-intercept:

Find the exact value of the expression given below. cos (π/12) cos (π/12)=

7+12 ÷ 4-1

3. Which of the following is not a determinant of the price elasticity of demand for a good? a. Whether a good is a necessity or a luxury b. The flatness of the supply curve for the good c. The time horizon d. The definition of the market for the good

Question 4. Which of the following is the solution to the equation 2 x+5=17 ? A. -6 C. 6 B. 23/2 D. 17/2

Do Homework - Sec 6.1 Tue Oct 29 12:41 PM Question 4, 6.1.19 Part 3 of 8 HW Score: 37.5%, 3 of 8 points Points: 0 of 1 In the given probability distribution, the random variable X represents the number of hits a baseball player obtained in a game over the course of a season. Complete parts (a) through ( f ). x P(x) 0 0.1669 1 0.3347 2 0.2897 3 0.1489 4 0.0367 5 0.0231 (Type whole numbers. Use ascending order.) (b) Draw a graph of the probability distribution. Describe the shape of the distribution. Graph the probability distribution. Choose the correct graph below. A. B. C. D. Describe the shape of the distribution. The distribution and is skewed left.

If triangle ABC is congruent to triangle DBC, then line BC bisects the angle ACD. A. True B. False

Simplify. [ (y^-2)^4 ] Write your answer without using negative exponents.

A one-to-one function is given. Write an equation for the inverse function. s(x)=4/(x+5) s^-1(x)=

The speeds of all pitches thrown by the IRSC softball team are normally distributed with a mean of 63.5 miles per hour and a standard deviation of 4 miles per hour. Determine the probability that a randomly selected pitch has a speed of more than 64 miles per hour. Round the solution to four decimal places, if necessary. P(x>64)=

Given that ABCD is a rhombus, what is the value of x? A. 18.25 B. 20.75 C. 30 D. 64 E. 86 F. Cannot be determined

We now have the sem-perimeter and the area of the quadrilateral. To find the radius (f) of the inscribed circle, we will use the relationship between the area, sem-perimeter, and the radius of the incircle: λ=sr Rearranging the formula to isolate r, r=d / ! Substituting the values of A and s: r=inat/46 Evaluating the expression: r=7.65 (approximately) Therefore, the radius of the circular fountain that can be inscribed in the quadrilateral land plot is approximately 7.06 units.

In triangle GHI, GH is congruent to IG and m angle I=36 degrees. Find m angle G.

Max is collecting baseball cards. He has 65 that his aunt gave him for his birthday, and he buys 20 more each week. The total number y of cards that Max has after x weeks is given by which of the following equations? y=65x+20 y=x+20 y=20x+65 y=85x

You are a production accountant for a movie. A production loss required 12 hours of rental equipment at 500 per hour and caused overtime scheduling that cost an additional 9,000 in wages. What was the total cost of this loss? F. 6,000 G. 9,042 H. 9,500 J. 9,512 K. 15,000

Multiply. (4-3 j)^2 (4-3 j)^2= (Simplify your answer. Type your answer in the form a + bj.)

Find the first five terms in sequences with the following nth terms. a. 2n^2+5 b. 6n+3 c. 10^n-2 d. 3n-2

Based on data from a college, scores on a certain test are normally distributed with a mean of 1523 and a standard deviation of 315. Complete parts (a) through (c) below a. Find the percentage of scores greater than 1586. % (Round to two decimal places as needed.)

Perform the indicated operation. Express your answer in lowest terms. 3/24 - 11/24 3/24 - 11/24 = (Type an integer or a fraction in lowest terms.)

Find a polynomial function of smallest degree with integer coefficients that has the given zeros. 1/2, 4-i, 4+i P(x)=

A side of the triangle below has been extended to form an exterior angle of 126°. Find the value of x.

Write and solve an equation to find x.

Find the expected value of the random variable with the given probability distribution. [ mu=[?] ] Do not round your answer. x P -3 0.10 -1 0.15 1 0.20 3 0.25 5 0.20 7 0.10

Use transformations of f(x)=x^2 to graph the following function. g(x)=-4(x-3)^2+1 What transformations are needed to graph the function g(x)=-4(x-3)^2+1 ? Choose the correct answer below. A. The graph of f(x)=x^2 should be horizontally shifted to the left by 3 units, stretched horizontally by a factor of 4, reflected about the y-axis, and shifted vertically up by 1 unit. B. The graph of f(x)=x^2 should be horizontally shifted to the left by 3 units, stretched vertically by a factor of 4, reflected about the y-axis, and shifted vertically up by 1 unit. C. The graph of f(x)=x^2 should be horizontally shifted to the left by 3 units, stretched horizontally by a factor of 4, reflected about the x-axis, and shifted vertically up by 1 unit. D. The graph of f(x)=x^2 should be horizontally shifted to the right by 3 units, stretched vertically by a factor of 4, reflected about the x-axis, and shifted vertically up by 1 unit. Use the graphing tool to graph the function. Click to enlarge graph

Find the standard deviation, σ, of the data. 15,21,46,49,31,24 x̄=31 Variance (σ^2)=159 σ=[?] Round to the nearest tenth

Question 10 The graph of a function f is given. Use the graph to answer the question. For what numbers x is f(x)<0 ? (-60,70) (-∞,-60) (-60, ∞) [-100,-60),(70,100)

Angles and Lines Pretest Geometry A Credit Recovery (SLOCR24-25) / Mod 8. In the picture below, which line segment is skew to BC

4 개의 변량 4, 6, x, y 의 평균이 5 , 분산이 4 일 때, xy 의 값은? (1) 10 (2) 12 (3) 16 (4) 18 (5) 24

Solve the logarithmic equation. log6(6^(1/5)) The solution set is

State whether each of the following statements is (always) true or (sometimes) false. If it is true, give a brief justification; if it is false, give a counterexample with an explanation. a) If A, B are 2 × 2 matrices with AB=0 and A ≠ 0, then B=0. b) If A, B are 2 × 2 matrices with AB=0 and A is invertible, then B=0.

6/(x^2-4) + x/(x+2) ([?] x^2+□ x+□)/((x-2)(x+□))

Use a cofunction identity to fill in the blank. cos(37°) = sin(□)°

On the graph of f(x) = sin x and the interval [2 pi, 4 pi), for what value of x does f(x) achieve a maximum? Choose your answer using the draggable point on the graph below.

Problem 6: ( 32 pts ) Use the Venn diagram to list each set in roster form. B ∪ C= C′= (B ∪ C)′= B ∪ C′=

Consider a two-factor factorial design with three levels in factor A, three levels in factor B, and four replicates in each of the nine cells. That is, there are two degrees of freedom in determining the factor A variation, two degrees of freedom in determining the factor B variation, four degrees of freedom in determining the interaction variation, and 27 degrees of freedom in determining the random variation. Assume that SSA=110, SSB=120, SSE=270, and SST=620. Answer parts (a) through (d). a. What is SSAB? SSAB=120 b. What are MSA and MSB? MSA =

(6x^2+11x-10) ÷ (3x-2)

Solve for x. (x-3)/15=2/5 Simplify your answer as much as possible.

Refer to the data dashboard shown. Which indicator is a cross-check on GDP?

Write the equation in its logarithmic form. 4^3=64

Multiply 17 * 2/7. Simplify your answer and write it as a mixed number.

An estimate of the quotient is 15. The actual quotient is . (Round to three decimal places as needed.)

What is the maximum number of relative extrema contained in the graph of this function? f(x) = 3x^5 - x^3 + 4x - 2

A penny has a mass of 2.50 g and the Moon has a mass of 7.35 × 10^22 kg. Use this information to answer the questions below. Be sure your answers have the correct number of significant digits. What is the mass of 1 mole of pennies? Round your answer to 3 significant digits. g How many moles of pennies have a mass equal to the mass of the Moon? Round your answer to 3 significant digits.

Sketch the graph of the function and check the graph with a graphing calculator. Before doing so, describe how the graph of the function can be obtained from the graph of a basic exponential function. f(x) = 2^(x+5) - 2 Describe how the graph of the function can be obtained from the graph of a basic exponential function. Start with the graph of y = 2^x. Shift it left 5 units and then shift it down 2 units. Use the graphing tool to graph the equation.

Express as a trinomial. (2 x-5)(2 x-3)

Find the limit, if it exists. (If an answer does not exist, enter DNE.) lim as x approaches -∞ of (3x) / sqrt(x^2 - x)

Listed below are the amounts of net worth (in millions of dollars) of the ten wealthiest celebrities in a country. Consider this as a random sample from a larger population. 186, 196, 180, 165, 162, 154, 151, 154, 149 What is the confidence interval estimate of the population mean μ?

Determine whether (f(x)=2 x^2+4 x-8) has a minimum or maximum value, and find the value of the minimum or maximum. Also, find the axis of symmetry. The value of the square is square help (numbers) The axis of symmetry for (f(x)) is given by square

A candy shop puts together two prepackaged assortments to be given to trick-or-treaters on Halloween. Assortment A contains 2 candy bars and 2 suckers and yields a profit of 40 cents. Assortment B contains 1 candy bar and 2 suckers and yields a profit of 30 cents. The store has available 200 candy bars and 300 suckers. Use this information to complete parts (a) through (e) below. (c) Give the inequalities that x and y must satisfy because x and y cannot be negative. y ≥ x ≥

Consider the function f(x)=e^-(x-1)^2/18. f(x) has two inflection points at x=C and x=D with C ≤ D where C is and D is For each of the following intervals, determine whether f(x) is concave up or concave down. (-∞, C) Select an answer (C, D): concave up (D, ∞): concave down

Suppose your school costs for this term were 8040 and financial aid covered 3/4 of that amount. How much did financial aid cover? How much do you still have to pay?

Simplify the rational expression. Find all numbers that must be excluded from the domain of the simplified rational expression. y^2-y-56/y^2-13y+40 Simplify the rational expression. Select the correct choice below and fill in any answer boxes in your choice. y^2-y-56/y^2-13y+40 = (Simplify your answer. Use positive exponents only.)

What is the factorization of the polynomial below? x^2-5x-36 A. (x-9)(x+4) B. (x+9)(x-4) C. (x-9)(x-4) D. (x+9)(x+4)

(7 x^7 y^8) / (5 a^7 b^8) ÷ (2 x^4 y^4) / (3 a^4 b^4)

log3(x-5) + log3(x+3) = 2

Congruent, Supplementary or Complimentary?

Find each product. A. (6n+4p)^2 B. (4m^3-2l)^2 C. (2b^2-g)(2b^2+g)

Después de aplicar 7% de tax, el precio de un objeto es 13,415.66. Hallar el precio inicial.

Solve the triangle.

Finbar invested money in a transportation stock whose growth is modeled by the function f(x) = 0.01(2)^x : where x represents number of days. Find the approximate average rate of change from day 11 to day 15.

Find the domain of the function. f(x)=sqrt(x-8) The domain of f(x) is . (Type your answer in interval notation.)

The diameters of ball bearings are distributed normally. The mean diameter is 107 millimeters and the standard deviation is 5 millimeters. Find the probability that the diameter of a selected bearing is greater than 115 millimeters. Round your answer to four decimal places.

Chen is bringing fruit and veggies to serve at an afternoon meeting. He spends a total of 28.70 on 5 pints of cut veggies and 7 pints of cut fruit. The food cost is modeled by the equation 5v+7f=28.70, where v represents the cost of one pint of cut veggies and f represents the cost of one pint of cut fruit. If the cost of each pint of fruit is 2.85, what is the approximate price of a pint of veggies? (Round to the nearest cent, as needed.) 1.75 2.06 2.39 3.99

Change the following fraction to a percent. Write your answer in percent form. Round your answer to the nearest tenth of a percent, if necessary. 7/9

What are the solutions to the equation (x-21)^2=25?

Which number is irrational? A. 4/3 B. 0 . 7 C. √3 D. 3.14

Ms. Sanchez orders 221 feet 8 inches of string to cut and use for manipulatives in her math class. How much string will each student receive if she cuts the entire length into 28 equal pieces? 8 feet 3 inches 8 feet 1 inch 7 feet 8 inches 7 feet 11 inches

For f(x)=4/(x+8) and g(x)=5/x, find a. (f ∘ g)(x); b. the domain of f ∘ g a. (f ∘ g)(x)=

What type of function is this? Using the table of values, find the following: a. f(-3) b. f(20) c. f(8) d. f(-1) e. If f(x)=9, what is x? f. If f(x)=4, what is x? g. If f(x)=0, what is x? h. If f(x)=-5, what is x? Sometimes, instead of finding the value of the function at a given x-value, you will be given the value of the function and asked to find the value of x. In these cases, replace the function notation and solve rather than the x. (Use the functions defined in the above examples.) a. Let f(x)=2x-3. If f(x)=15, find x. b. Let g(x)=3x+2. If g(x)=11, find x. c. Let w(x)=3x-7. If w(x)=14, find x. d. Let h(x)=-2x-5. If h(x)=-25, find x.

-4(2 a-3)+15=

Given the line of best fit for a set of data points with the equation y=5x-2.5, what is the residual for the point (5,26)? A. -3.5 B. 26 C. -26 D. 3.5

Convert a recipe that serves 6 and calls for 3/4 cup sugar to one that serves 20.

Find (3y-4)(2y^2+y-1). (A) 6y^3-5y^2-7y-4 (B) 6y^3-7y^2-7y+4 (C) 6y^3-5y^2-7y+4 (D) 6y^3-5y^2+7y+4

Step 1 of 2: Which data set has the larger value? Consider the following box plots for Data Set A and Data Set B. Data Set A: 45 50 52 55 58 60 66 65 70 75 80 85 90 95 98 Data Set B: 45 50 57 60 67 70 74 75 80 85 90 95 98

This question: 1 point(s) possible Submit quiz Use the theoretical probability formula to solve the problem. Express the probability as a fraction reduced to lowest terms. A fair coin is tossed two times in succession. The set of equally likely outcomes is H H, H T, T H, T T. Find the probability of getting the same outcome on each toss. A. 3/4 B. 1/4 C. 1/2 D. 1

Use implicit differentiation to find dy / dx. Then find the slope of the curve at the given point. 9xy - 5x + y = 29 ; (-4,-9/35) The slope of the curve at (-4,-9/35) is

Find the differential (d y) of the given function. [ y=6 x^2-5 ] (d y=)

There is a 94% probability that the true population mean number of hours is within the boundaries of our confidence interval.

Find a polynomial function of lowest degree with rational coefficients that has the given numbers as some of its zeros. 4+i1 2 The polynomial function in expanded form is f(x)=

Graph the inverse of (g(x)).

Use the relevant properties of exponents to simplify the following expression such that each base is only represented once and your answer only has positive exponents. x^4 y^7 z^0 / x^9 y^4

Determine the quadratic function of the form f(x)=a(x-h)^2+k whose graph is given on the right. f(x)=

Apply all relevant Properties of Exponents to simplify the following expression so each base occurs only once and the exponents are simplified, nonnegative integers. a) (5 y)^3(6 y)^2 b) (1/9 q^3)^2(1/8 q^4)^2

Ramirez Company installs a computerized manufacturing machine in its factory at the beginning of the year at a cost of During its second year, the machine produces 33,800 units or 398,000 units of product, with a 4,000 salvage value. Determine the machine's second-year depreciation using the units-of-production method.

Graph the equation shown below by transforming the given function. y = sqrt(x+1) - 3

One cubic foot holds 7.48 gallons of water, and 1 gallon of water weighs 8.33 pounds. How much does 9.3 cubic feet of water weigh in pounds? In tons? The weight in pounds is approximately □ bo. (Round to the nearest tenth as needed.) The weight in tons is approximately □ ton(s). (Round to the nearest hundredth as needed.)

Use properties of logarithms to condense the logarithmic expression. Write the expression as a single logarithm. 4ln x - 5ln x = ln x^4/x^5

The random variable (X) has the probability distribution table shown below. (X) 3 5 7 9 11 --- --- --- --- --- --- (P(X=X)) 0.2 0.2 (a) (a) 0.2 (a) Assuming (P(X=7)=P(X=9)), find each of the missing values. (a=) (b) Calculate (P(X geq 7)) and (P(3<x<9)). (P(x geq 7) =) (P(3<x<9) =)

Write a function to represent the value A of the necklace after t years, assuming the initial value of 1. Then write an equivalent function with a power of 12t.

UNIT 2 - CHALLENGE 2.3: Ineq The number line below is correctly represented by which of the following notations? a.) [-5,8] b.) x x ≥ -5 or x ≤ 8 c.) (-∞,-5] ∪ [8, ∞)

Factor by first grouping the appropriate terms. x^2-y^2+x+y

Lines and Functions Finding x - and y-intercepts of a line given the equation: Basic Find the y-intercept and x-intercept of the line. x-4 y=8 y-intercept: x-intercept:

Graph this line using the slope y=7x-9 Click to select points on the graph

Según el gráfico de la figura 3, x e y son magnitudes directamente proporcionales. Entonces, ¿cuál es el valor de a? A) 1/3 B) 3 C) 6 D) 9 E) 12

Select the correct answer. Which statement is a converse of p ? p : If every fourth card drawn is a spade, then 25% of the cards in a deck would be spades. A. If 25% of the cards in a deck are spades, then every fourth card drawn would be a spade. B. If every fourth card drawn isn't a spade, then 25% of the cards in a deck aren't spades. C. If 25% of the cards in a deck aren't spades, then every fourth card drawn wouldn't be a spade. D. If every fourth card drawn isn't a spade, then 75% of the cards in a deck are spades.

Question 32 Bella weighs 55 lb . How many kilograms does she weigh? 25 kg 2.5 kg 121 kg 12.1 kg

Select the simplified, expanded form of the following expressions. (4 t^4 - 8 t + 4) - (8 t^2 + 4 t^4 + 1) -8 t^2 - 8 t + 3 -4 t^2 - 8 t + 3 8 t^2 - 8 t + 3 -4 t^2 - 4 t + 3

The conversion factor for converting tablespoons to milliliters is 1 tbsp / 5 mL 15 mL / 1 tbsp 5 mL / 3 tbsp 30 mL / 1 tbsp

Multiply or divide the following measurements. Be sure each answer you enter contains the correct number of significant digits. 93 cm × 48 cm = cm^2 688.72 mol ÷ 83.81 L = mol/L 207.6 mol ÷ 61.14 L = mol/L

Identify the following as True of False? d/dx(3 v)=3 v' 1. True 2. False d/dx(u-v)=u'-v' If u'=v' then u=v

You measure 31 watermelons' weights, and find they have a mean weight of 33 ounces. Assume the population standard deviation is 3.3 ounces. Based on this, what is the maximal margin of error associated with a 90% confidence interval for the true population mean watermelon weight. Give your answer as a decimal, to two places

Using f(x)=√(x+1) and g(x)=14/(x-3) a) f(g(x)) b) g(f(x)) c) f(g(10)) d) g(f(8))

Simplify the expression. 2 r - 6 r + 7 + r

Use the graph of (f(x)) to evaluate the following: The average rate of change of (f) from (x=1) to (x=3) is (square) Give your answer as an integer or reduced fraction.

For the sequence (an=6-5 cdot(n-1)), its first term is (square) its second term is (square) its third term is (square) its fourth term is (square) ; its fifth term is (square) ; its common difference (d=) (square)

Find the product using the FOIL method. (4x+9)(8x-5) (4x+9)(8x-5)=

III Homework Chapter 4.3 Homework Introductory Statistics - MATH-1530-M9) In an experiment, college students were given either four quarters or a 1 bill and they could either keep the money or spend it on gum. The results are summarized in the table. Complete parts (a) through (c) below. Students Given Four Quarters Students Given 1 Bill Purchased Gum 27 12 Kept the Money 28 29 a. Find the probability of randomly selecting a student who spent the money given that the student was given four quarters. (Round to three decimal places as needed.) The probability is b. Find the probability of randomly selecting a student who was given a 1 bill given that the student kept the money. (Round to three decimal places as needed.) The probability is Question 15: 4.3:14 H/V Score: 86.21%, 28 of 29 points Points: 2 of 3 Save Alyse Crawford 10/27/23 5:13 PM

Use reference angles to find the exact value of the expression sin(-225°) sin(-225°) = (Type an exact answer, using radicals as needed.)

(m^2-25)/(5+m)

Perform the indicated operation and express in lowest terms. 15/(q-3)-3/(q-3) A. 18/(q-3) B. 12/(q-3) C. 12/q D. 15(q-3)/3(q-3)

A print shop ordered 8 shipments of newsprint. There were 9,813 sheets of newsprint in each shipment. How many sheets of newsprint did the print shop order in all? sheets of newsprint

Consider the following data: -10,-10,0,3,-10,3,3 Calculate the value of the range.

Identify the slope and y-intercept, if they exist. 7 x=5 y Part 1 of 2 Select "Undefined" if applicable. Slope: Part 2 of 2

Convert to a logarithmic equation 216^(1/3)=6

One cable company claims that it has excellent customer service. In fact, the company advertises that a technician will arrive within 50 minutes after a service call is placed. One frustrated customer believes this is not accurate, claiming that it takes over 50 minutes for the cable technician to arrive. The customer asks a simple random sample of 16 other cable customers how long it has taken for the cable technician to arrive when they have called for one. The sample mean for this group is 55.1 minutes with a standard deviation of 10.6 minutes. Assume that the population distribution is approximately normal. Test the customer's claim at the 0.005 level of significance. Step 1 of 3 : State the null and alternative hypotheses for the test. Fill in the blank below. H0: μ=50 Ha: μ ≠ 50

Lengths and Girths Length x 158 159 159 158 159 158 157 156 155 Girth y 125 123 121 120 118 117 115 110 109

Solve the triangle. A=39°, B=64°, a=5 C=° b ≈ (Do not round until the final answer. Then round to the nearest tenth as needed.) c ≈ (Do not round until the final answer. Then round to the nearest tenth as needed.)

Solve using augmented matrix methods. 4x1-2x2 =-5 -8x1+4x2 =-11 Select the correct choice below and fill in any answer boxes in your choice. A. The unique solution is x1= and x2= . (Simplify your answer.) B. The system has infinitely many solutions. The solution is x1= and x2=t. (Simplify your answer. Type an expression using t as the variable.) C. There is no solution.

Solve the logarithmic equation. Be sure to reject any value of x that is not in the domain of the original logarithmic expressions. Give the exact answer. log(2x-9) = log(x+1) + log3 Rewrite the given equation without logarithms. Do not solve for x. Solve the equation to find the solution set. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution set is . (Simplify your answer. Use a comma to separate answers as needed.) B. There are infinitely many solutions. C. There is no solution.

A rectangle is removed from a right triangle to create the shaded region shown below. Find the area of the shaded region. Be sure to include the correct unit in your answer.

Find the domain of the logarithmic function. f(x)=log(9-x) The domain of f(x)=log(9-x) is (Type your answer in interval notation.)

Use the arc constant to determine the length of the arcs given the measurement of the radius. Round answers to the nearest 1/16": Arc length = Arc length =

Solve the inequality (u+frac110<frac320), and write the solution in interval notation.

Solve by the quadratic formula. List the solutions, separated by commas. 12 x^2+11 x+2=0 x=

Solve the exponential equation by expressing each side as a power of the same base and then equating the exponents. 3^(3x-3) = 27 The solution set is

Factor. s^2 + 4s + 4 Select the correct choice below and fill in any answer boxes with your answer. A. s^2 + 4s + 4 = □ B. The polynomial is prime.

Question 14, 6.3.39-GI Part 2 of 5 A box can be formed by cutting squares out of each corner of a piece of tin and folding the "tabs" up. Suppose the piece of tin is 18 inches by 18 inches and each side of the square that is cut out has length x. Complete parts (a) through (e). (a) Write an expression for the height of the box that is constructed. The height of the box is x inches. (b) Write an expression for the dimensions of the base of the box that is constructed. The dimensions of the base of the constructed box are inches by inches.

Consider the probability that at least 42 out of 120 computers will crash in a day. Assume the probability that a given computer will crash in a day is 2%. Specify whether the normal curve can be used as an approximation to the binomial probability by verifying the necessary conditions.

The total number of people, P, who have been infected with a contagious virus t weeks after the epidemic began is given by the following formula. P = 2660 / (1 + 6(0.5)^t) Complete parts a through d below. b. Complete the table. t P 0 380 1 665 2 1064 3 1520 6 2432 c. In the long run, how many total people will be infected? 2660 people d. Represent your answer to part c using limit notation by dragging the appropriate choices in the template. lim 2432 P(t) lim 1 -> 2660 lim infinity 2660 Drag the given expressions or values into the appropriate locations below to set up a limit which represents your answer to part c.

A manufacturer finds that the revenue generated by selling (x) units of a certain commodity is given by the function (R(x)=60 x-0.5 x^2), where the revenue (R(x)) is measured in dollars. What is the maximum revenue, and how many units should be manufactured to obtain this maximum? (), at units

Evaluate the following expressions. (a) log base 2 of 2^11= (b) log base 3 of 243= (c) log base 4 of 256=

Question 44 (1 point) Refer to the graph above. Area F is larger than areas B and C, because demand is elastic between 10 and 30 larger than areas B and C, because demand is inelastic between 10 and 30 smaller than areas B and C, because demand is elastic between 10 and 30 smaller than areas B and C, because demand is inelastic between 10 and 30

Find the zeros and fully factor (f(x)=x^3-2 x^2-7 x+2), including factors for irrational zeros. Use radicals, not decimal approximations. The zeros are The fully factored form is (f(x)=)

Which of the following would be classified as a continuous numeric variable? The possible outcomes when rolling three dice and adding the result. The heights of students in a third grade classroom. The number of pens in a pocket protector. The number of people enrolled in STA2023 at TCC for any semester.

My IXL Learning Assessment C. 15 Identify equivalent expressions involving exponents II QDM Select all the expressions that are equivalent to 7^-6 cdot 2^-6. 14^-6 14^-12 14^36 1/14^6

a (Fall 2024) CRN 18067 Question 11 of 30 This test: 30 point(s) possible This question: 1 point(s) possible Test Use Descartes' rule of signs to determine the possible number of positive and negative real zeros for the following function. Then, use a graph to determine the actual numbers of positive and negative real zeros. P(x)=7x^4+2x^3+3x-1 What is the possible number of positive real zeros? A. 1 B. 0 C. 3 or 1 D. 2 or 0 What is the possible number of negative real zeros? A. 3 or 1 B. 1 C. 0 D. 2 or 0 What is the actual number of positive real zeros? A. 1 B. 0 C. 3 or 1 D. 2 or 0 What is the actual number of negative real zeros? A. 3 or 1

Find the slope and y-intercept of the line with equation x+6y=-6. Then graph the line. The slope is (Type an integer or a simplified fraction.)

Find the zeros of the polynomial function and state the multiplicity of each. f(x)=-5(x-2)^4(x+5)^3 x^2 The smallest zero is with multiplicity .

What are the four ordered pairs Determine the domain

Find the indicated derivative and simplify. dy/dx for y=25 x^(1/5)(x^5+6) dy/dx=

A golf association requires that golf balls have a diameter that is 1 the standard, a random sample of golf balls was selected. Their d Do the golf balls conform to the standards? Use the alpha=0.01 level First determine the appropriate hypotheses. H0: μ=1.68 H1: μ=1.68 (Type integers or decimals. Do not round.) Find the test statistic. (Round to two decimal places as needed.)

The city council voted on a new tax. 21 council members voted in favor of the tax. The council has 21 members. What percentage of the council members voted in favor of the tax?

The function f(x, y)=-x^2 y-y^2-4 y has one critical point, classify it as a relative maximum, relative minimum or a saddle point. A. Relative Maximum B. Relative Minimum C. Saddle point

A population of values has a normal distribution with μ=84.6 and σ=33.1. You intend to draw a random sample of size n=72. Find the probability that a sample of size n=72 is randomly selected with a mean between 78.7 and 85.8 . P(78.7<M<85.8)= Enter your answers as numbers accurate to 4 decimal places. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.

Determine if the given value of (x) is a solution to the given equation. [ 3 sec ^2(x)=4 ; x=pi ]

Write the trigonometric expression as an algebraic expression in (u). [ cot left(tan ^-1 uright) ] (cot left(tan ^-1 uright)=) (Type an exact answer, using radicals as needed.)

Find the greatest common factor of these three expression 14, 12x^4, and 4x^3

The following data represent weights (pounds) of a random sample of professional football players on the following teams. X1 = weights of players for the Dallas Cowboys X2 = weights of players for the Green Bay Packers X3 = weights of players for the Denver Broncos X4 = weights of players for the Miami Dolphins X5 = weights of players for the San Francisco Forty Niners You join a Fantasy Football league and you are wondering if weight is a factor in winning Football games What is the MSwithin?

Monique wants to have an equal number of cups and napkins. What is the least number of packages of cups and the least number of packages of napkins Monique should buy to have an equal number of cups and napkins? Justify your answer.

The following data represent the number of games played in each series of an annual tournament from 1923 to 2018. Complete parts (a) through (d) below. x (games played) 4 5 6 7 Frequency 18 22 22 33 (c) Compute and interpret the mean of the random variable X. μX= □ game(s) (Round to one decimal place as needed.) Interpret the mean of the random variable X. Select the correct choice below and fill in the answer box within your choice. (Round to one decimal place as needed.) A. The series, if played one time, would be expected to last about □ game(s).

Solve for it, where in is a ceal number. √(w+11)=5 μ=

Xavier's mother has a large collection of shoes. The table shows how many pairs of shoes she has in each style. flip-flops: 8 boots: 4 clogs: 6 If Xavier's mother chose a pair of shoes at random, what is the probability that the shoes would be flip-flops? Write your answer as a fraction or whole number.

Multiply the polynomials using the distributive property and combine like terms. (x+4)(x+6) Answer x^2+10x+24

The average number of pounds of red meat a person consumes each year is 196 with a standard deviation of 22 pounds (Source: American Dietetic Association). If a sample of 50 individuals is randomly selected, find the probability that the mean of the sample will be greater than 200 pounds. A. 0.8815 B. 0.7613 C. 0.0985 D. 0.9015

Manny prepared 15.9 kilograms of dough after working 4 hours. How many hours did Manny work if he prepared 31.8 kilograms of dough? Assume the relationship is directly proportional.

Find f'(x) and find the value(s) of x where f'(x)=0. f(x)=x/(x^2+225) f'(x)=1/(x^2+255)

Just output the content of the question, DO NOT output additional information or explanations.

1. Um estudante, simulando uma sala de cinema, utiliza uma lente esférica convergente para projetar a imagem da tela de seu celular (transmitindo uma cena de um seriado), ampliada 5 vezes, numa parede de seu quarto escuro. Se o aparelho foi colocado a 30 cm da lente, determine a distância focal dessa lente.

Using the intermediate value theorem, determine, if possible, whether the function f has at least one real zero between a and b. f(x)=x^3+2x^2-8x-3; a=-8, b=-1 Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. A. By the intermediate value theorem, the function does not have at least one real zero between a and b because f(a)= and f(b)= (Simplify your answers.) B. By the intermediate value theorem, the function has at least one real zero between a and b because f(a)= and f(b)= ( Simplify your answers.) C. It is impossible to use the intermediate value theorem in this case.

Decide whether or not the equation has a circle as its graph. If it does, give the center and the radius. If it does not, describe the graph. 8 x^2+8 x+8 y^2-64 y-382=0 Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. A. The graph of the equation is a line. B. The graph of the equation is a point. C. The graph of the equation is a circle with center (Type an ordered pair.) The radius of the circle is . D. The graph is nonexistent.

The test statistic of z=1.43 is obtained when testing the claim that p>0.2. a. Identify the hypothesis test as being two-tailed, left-tailed, or right-tailed. b. Find the P-value. c. Using a significance level of α=0.10, should we reject H0 or should we fail to reject H0? a. This is a right-tailed test. b. P-value =0.076 (Round to three decimal places as needed.) c. Choose the correct conclusion below. A. Reject H0. There is sufficient evidence to support the claim that p>0.2. B. Reject H0. There is not sufficient evidence to support the claim that p>0.2. C. Fail to reject H0. There is not sufficient evidence to support the claim that p>0.2. D. Fail to reject H0. There is sufficient evidence to support the claim that p>0.2.

Solve the system of equations. If a system has one unique solution, write the solution set. Otherwise, determine the number of solutions to the system, and determine whether the system is inconsistent, or the equations are dependent. 3x = 2y - 4z - 13 -3(x + y) = -4y + z - 1 7(x - y) + z = 3x - 6y + 4 The system has one solution. The solution set is .

A company recorded credit sales of 773,000, of which 580,000 is not yet due, 130,000 is past due for up to 180 days, and 63,000 is past due for more than 180 days. Under the aging of receivables method, the company expects it will not collect 1% of the amount not yet due, 14% of the amount past due for up to 180 days, and 23% of the amount past due for more than 180 days. The allowance account had a debit balance of 4,800 before adjustment. After adjusting for bad debt expense, what is the ending balance of the allowance account? Multiple Choice 5,800 38,490 43,290 39.590

What is the probability that a randomly selected individual 15 years or older was involved in Complete Parts (a) through (f) below.

Solve the system of equations by the substitution method. x+y = 20 y = 4x Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution of the system is ☐ (Simplify your answer. Type an ordered pair. Use integers or fractions for any numbers in the expression.) B. There are infinitely many solutions. C. There is no solution.

The state test scores for 12 randomly selected high school seniors are shown on the right. Complete parts (a) through (c) below. Assume the population is normally distributed. 1423 1228 982 690 728 724 838 625 740 546 1441 941 (a) Find the sample mean. The sample mean is 908.8 (Round to one decimal place as needed.) (b) Find the sample standard deviation. The sample standard deviation is 304 (Round to one decimal place as needed.) (c) Construct a 99% confidence interval for the population mean μ. A 99% confidence interval for the population mean is ( ) (Round to one decimal place as needed.)

Evaluate f(x)=-6x^2+4x+6 at the indicated values f(1)= f(4)= f(a+1)=

Find parametric equations for the line shown below.

Solve the system of equations using the row echelon method. -21x - 2y + z = -13 12x + y = 10 -24x - 2y + z = -16 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. If there are infinitely many solutions, type an expression involving z for each coordinate where z re B. The solution is the empty set.

Find the restricted values of (x) for the following rational expression. [ frac-2 xx^2-5 x ]

Suppose we want to choose 2 colors, without replacement, from the 3 colors red, blue, and green. (a) How many ways can this be done, if the order of the choices is relevant? (b) How many ways can this be done, if the order of the choices is not relevant?

Separate the variables and hence solve the differential equation [ y(x+1)=(x^2+2 x) fracd yd x ]

Completely factor and find all zeros of the following polynomial. f(x)=-2x^4-21x^3-54x^2-147x-280 Write f as the product of linear factors, each with a leading coefficient of 1. f(x)=

Determine whether the geometric series is convergent or divergent. ∑(n=1)^(∞) 10^n / (-8)^(n-1) convergent divergent If it is convergent, find its sum. (If the quantity diverges, enter DIVERGES.)

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