Questions: On checking with 100 investors to see who owned electric company stock (E), transportation stock (T), or municipal bonds (M), the numbers shown in the diagram below were found. (a) How many investors owned electric company or transportation stock but not both? investors (b) How many owned electric company or transportation stock but not municipal bonds? investors (c) How many had one or two of these types of investments but not all three? investors (d) How many had at least two of these types of investments? investors (e) How many had none of these types of investments? investors

On checking with 100 investors to see who owned electric company stock (E), transportation stock (T), or municipal bonds (M), the numbers shown in the diagram below were found. (a) How many investors owned electric company or transportation stock but not both? investors (b) How many owned electric company or transportation stock but not municipal bonds? investors (c) How many had one or two of these types of investments but not all three? investors (d) How many had at least two of these types of investments? investors (e) How many had none of these types of investments? investors
Transcript text: On checking with 100 investors to see who owned electric company stock $(E)$, transportation stock $(T)$, or municipal bonds $(M)$, the numbers shown in the diagram below were found. (a) How many investors owned electric company or transportation stock but not both? $\square$ investors (b) How many owned electric company or transportation stock but not municipal bonds? $\square$ investors (c) How many had one or two of these types of investments but not all three? $\square$ investors (d) How many had at least two of these types of investments? $\square$ investors (e) How many had none of these types of investments? $\square$ investors
failed

Solution

failed
failed

Solution Steps

Step 1: Identify the relevant sections of the Venn diagram
  • Electric company stock (E): 23, 8, 4, 15
  • Transportation stock (T): 10, 8, 4, 7
  • Municipal bonds (M): 9, 15, 4, 7
Step 2: Calculate the number of investors who owned electric company or transportation stock but not both
  • Investors owning only E: 23
  • Investors owning only T: 10
  • Investors owning both E and T but not M: 8
  • Total: 23 + 10 + 8 = 41
Step 3: Calculate the number of investors who owned electric company or transportation stock but not municipal bonds
  • Investors owning only E: 23
  • Investors owning only T: 10
  • Investors owning both E and T but not M: 8
  • Investors owning E and M but not T: 15
  • Investors owning T and M but not E: 7
  • Total: 23 + 10 + 8 + 15 + 7 = 63

Final Answer

(a) 41 investors (b) 63 investors

Was this solution helpful?
failed
Unhelpful
failed
Helpful

Questions asked by other users

failedAnswered
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%?
failedAnswered
m angle F A E = m angle A C D =
failedAnswered
In America, self-actualization is the pinnacle need on Maslow's hierarchy. When studying cultures with a high need to avoid uncertainty, researchers found workers' pinnacle need to be - a. safety and security. b. socials c. physiological. d. esteem.
failedAnswered
Question 20 (1 point) An infant girl is born with microcephaly. The infant also has a depressed nasal bridge, low-set ears, and a protruding tongue. What nursing diagnosis would be appropriate for this patient and her parents? a) Inability to suck related to protruding tongue b) Knowledge deficit related to trisomy 21 c) Impaired hearing related to low-set ears d) Altered breathing related to depressed nasal bridge
failedAnswered
Calculate the average rate of change between (x=4) and (x=6) for the function [ f(x)=7+frac18 x ] Average rate of change (=)