Find the length of the missing side. round to the nearest whole number

  c.  7

Step-by-step explanation:

Let x represent the length of the missing side. The Pythagorean theorem tells you ...

  x^2 + 24^2 = 25^2

  x^2 + 576 = 625 . . simplify

  x^2 = 49 . . . . . . . . . subtract 576

  x = 7 . . . . . . . . . . . . take the square root

The length of the missing side is 7.

v = 1/3 a^2h

step-by-step explanation:

the volume is 1/3 a^2h.

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;