# math

posted by Bryan

Almost everyone at the Bright Corporation reads a daily newspaper on a regular basis. In fact, altogether te company employs 2,940 people,of whom70% read The Daily News,45% read The Courier and 60% read The inquirer.

One fourth of the employees reads The Daily News and The Courier, and 30% read The Inquirer and The Courier, and 35% read The Daily News and The Inquirer. One tenth of the people read all three newspapers on a regular basis.

a. how many people read only The Daily news?

b. How many people read only The Courier?
c. How many people read on The Inquirer?

d. How many people don't read any newspaper?

1. Steve

Draw your 3-circle Venn diagram. Label the circles D,C,I

DCI = .1
so
DC only = .15 (.25-.10)
CI only = .20 (.30-.10)
DI only = .25 (.35-.10)

D only = .20 (.70 - .15 - .10 - .25)
C only = .00 (.45 - .15 - .10 - .20)
I only = .05 (.60 - .25 - .10 - .20)

Add up all the percentages and it is clear that only 90% of the employees read any papers.

That makes .9*2940 = 2646 readers.

So,

a. D only = .2*2940 = 588
b. C only = 0
c. I only = .05*2940 = 147
d. None = .10*2940 = 294

2. Bryan

95% of the employees read any newspaper, therefore 5% don't read and newspaper. D should be 147

## Similar Questions

2. ### English

1. How often do you read the newspaper? 2. How often do you read a newspaper?

Almost everyone at the Bright Corporation reads a daily newspaper on a regular basis. In fact, altogether te company employs 2,940 people,of whom70% read The Daily News,45% read The Courier and 60% read The inquirer. One fourth of …
4. ### statistics

Suppose that we want to test the claim that the majority (> 50% ) of UOB students read newspapers on a daily basis. We sampled 70 students and found out that 42 of them read newspapers on a daily basis?
5. ### english

Hello I was wondering if you could correct my homework. Thanks. Identify the prepositional phrases in the following sentences. Then state whether the prep phrase is an adjective phrase or adverb phrase. 1. A daily newspaper has something …
6. ### math

Only 40% of people between the ages of 18 and 24 read a daily newspaper. Write the percent as a fraction in simplest form.
7. ### Statistics

*Give all probabilities to two decimal places. Three daily newspapers are published in a large city. Suppose we have the following facts about the people in the city: 60% read Newspaper A. 34% read Newspaper C. 72% read Newspaper A …
8. ### Statistics

A survey of top executives revealed that 37% of them regularly read Time magazine, 21% read Newsweek and 38% read U.S. News & World Report. Eleven percent read both Time and U.S. News & World Report. What is the probability that a …
9. ### Statistics

A survey of top executives revealed that 37% of them regularly read Time magazine, 21% read Newsweek and 38% read U.S. News & World Report. Eleven percent read both Time and U.S. News & World Report. What is the probability that a …
10. ### probability

A survey asks people about their reading habits with respect to three newspapers. The results show that 56% read newspaper A, 33% read newspaper B, and 27% read newspapers C. 7% of the respondents read newspapers A and B, 8% of the …

More Similar Questions