(6.05)Out of 150 students at summer camp, 70 signed up for swimming. There were 25 that signed up for zip line, of which 12 of those students also signed up for swimming. What percent of the students at camped signed up for neither swimming or the zip line? (5 points)
54%
45%
84%
67%

45% of the students at camped signed up for neither swimming or the zip line ⇒ 2nd answer

Step-by-step explanation:

To solve the problem let us use the following rules

n(swimming or zip line) = n(swimming) + n(zip line) - n(swimming and zip line)

n(neither) = n(total) - n(swimming or zip line)

∵ 70 signed up for swimming

∵ n(swimming) = 70

∵ There were 25 that signed up for zip line

∵ n(zip line) = 25

∵ 12 of those 25 students also signed up for swimming

∵ n(swimming and zip line) = 12

Use the 1st rule to find n(swimming or zip line)

∵ n(swimming or zip line) = 70 + 25 - 12

∴ n(swimming or zip line) = 83

∴ There were 83 students signed up in swimming or zip line

Use the 2nd rule to find n(neither)

∵ There were 150 students at summer camp

∴ n(total) = 150

∵ n(swimming or zip line) = 83

∴ n(neither) = 150 - 83

∴ n(neither) = 67

∴ There were 67 students signed up for neither swimming or the

   zip line

To find the percent of the neither divide n(neither) by n(total), then multiply the quotient by 100%

∵ %(neither) = × 100%

∴ %(neither) = 44.6666667%

- Round it to the nearest whole number

∴ %(neither) = 45%

45% of the students at camped signed up for neither swimming or the zip line

see below

step-by-step explanation:

7.   there are 10 data points in the set.   the middle point is between 5 and 6.   the middle point in the top half is 8   and the middle point in the bottom half is 3. to find the iqr , take point 8 and subtract point 3

mid term   point 8 = 100   point 3 = 88

iqr = 100-88 = 12

final   point 8 = 93   point 3 = 78

iqr = 93 - 78 = 15

the final has the greatest iqr

6.   b - there is a high data value that causes the data set to be asymmetrical for the males: the data for males are high and asymmetrical .   there is an outlier for the males that skews the data

5.   the   iqr is a better measure of spread for the movies and basketball games.   since the basketball game has an outlier, we do not want to use standard deviation for measurement.  

3.   the exam median is much higher than the class median.   the median line is farther to the right on the exams

2.   there is no way to tell what the means are from the box and whisker plots.  

7. d. 64

8. i. 32

9. c. 125

10. j. none of the above

11. d. 81

12. i. 216

13. e. none of the above

14. g. 240

15. e. none of the above

16. g. 32

17.   e. none of the above