# math

A survey of 500 television viewers produced the following information,285 watch football,195 watch hockey,115 watch basketball,45 watch football and basketball,70 watch football and hockey,50 watch hockey and basketball and 50 do not watch any of the three games.
1)How many watch all the three games?
2)How many watch exactly one of the three games?

reply fast! tmr is my maths test.

1. 👍 1
2. 👎 0
3. 👁 1,066
1. Best done with a Venn diagram.
For the intersection of all three circles which I called F, H, and B, label it x
Then fill in the regions of the circle using the given data.
e.g. I labeled the part which is only hockey and basketball as 50-x
and the part which is only hockey as 195 - (70-x + x + 50-x)
= 75 +x

Finally, place 50 outside the 3 circles

Now add them all up and set it equal to 500
Solve for x

Once you have x, all separate parts are found

1. 👍 0
2. 👎 3

## Similar Questions

1. ### sets, maths

A survey of 500 television viewers produced the following information,285 watch football,195 watch hockey,115 watch basketball,45 watch football and basketball,70 watch football and hockey,50 watch hockey and basketball and 50 do

asked by deeksha on August 10, 2015
2. ### statistics

In a survey of 5100 TV viewers, 40% said they watch network news programs. Find the margin of error for this survey if we want 95% confidence in our estimate of the percent of TV viewers who watch network news programs. Hint, find

asked by Rachel on September 13, 2010
3. ### physics

A watch manufacturer claims that its watches gain or lose no more than 8 s in a year. How accurate is this watch, expressed as a percentage? Express your answer using one significant figure.

asked by larry on September 4, 2015
4. ### Statistics

A survey is being planned to determine the mean amount of time corporation executives watch television. A pilot survey indicated that the mean time per week is 12 hours, with a standard deviation of 3 hours. It is desired to

asked by Shyra on December 2, 2010
1. ### Statistics

Professor York randomly surveyed 240 students at Oxnard University, and found that 150 of the students surveyed watch more than 10 hours of television weekly. Develop a 95% confidence interval to estimate the true proportion of

asked by Angela on April 7, 2014
2. ### probability self study

each of three identical jewelry boxes has two drawers. in each drawer of the first box there is a gold watch. in each drawer of the second box there is a silver watch. in one drawer of the third box there is a gold watch while in

asked by Woody on May 19, 2015
3. ### Statistics

In a sample of 200 people, 154 said they watched educational television. Find the 90% confidence interval of the true proportion of people who watch educational television. If the television company wanted to publicize the

asked by Ale on April 22, 2015
4. ### Math Data management

A survey of 1000 television viewers conducted by a local television station produced the following data: •40% watch the news at 12:00 •60% watch the news at 18:00 •50% watch the news at 23:00 •25% watch the news at 12:00

asked by Rania on January 19, 2011
1. ### Economics

Based on the Nielsen ratings, the local CBS affiliate claims its 11 p.m. newscast reaches 41% of the viewing audience in the area. In a survey of 100 viewers, 36% indicated that they watch the late evening news on this local CBS

asked by Ryan on April 27, 2014
2. ### flaws help please asap

In a 1995 Corporation for Public Broadcasting poll of TV viewership, one question was, “A recent study by a psychology professor at a leading university concluded that the amount of violence children see on television has an

asked by dolphino on November 17, 2006
3. ### math

a watch lost two minutes per hour.if on monday 9 A.M the watch was exactly showing 9 A.M.then what is the time on wednesday 9A.M.

asked by ramzan on April 19, 2016
4. ### Physics

a man sets his watch at noon by the sound of a factory whistle 4.8 km away. If the temperature of the air is 20 degrees C, how many seconds slow will his watch be?

asked by Jay on March 5, 2015