The number of hours required in each subject of a college preparatory core curriculum is represented by the circle graph. What percent of these hours is in Art and Math combined?

67.5%

32.5%

243%

117%

32.5%

Step-by-step explanation:

First find the total number of hours:

8 + 5 + 14 + 7 + 6 = 40

What percent of these hours is in Art and Math combined?

Maths = 7 hours

Art =  6 hours

7 + 6 = 13

Percentage = value/total * 100

13/40 * 100 = 32.5%

d. 24+-0.114

step-by-step explanation:

the question requires us to calculate the approximate 95% confidence interval for the mean number of ounces of ketchup per bottle in the sample given the following statistics;

sample mean = 24

standard deviation, σ = 0.4

sample size , n = 49

the confidence interval for a population mean is calculated using the formula;

sample mean ± z-score*(σ/sqrt(n))

the z-score associated with a 95% confidence interval, from the standard normal tables, is;

1.96

substituting these values into the formula;

24 ± 1.96*(0.4/7)

= 24 ± 0.112

from the alternatives given, choice d is closest to the above expression;