What is the area of the trapezoid shown below

180

Step-by-step explanation:

Start by solving the triangle. Use the pythagorian theorum to find the area.

A^2 + B^2 = C^2

7^2 + B^2 = 25^2

49 + B^2 = 625

B^2 = 576

B = 24

The area can then be found using A = (1/2)bh;

A = (1/2)(7)(24)

A = 84

Then find the area of the rectangle:

A = lh

A = (24)(4)

A = 96

And finally add the two areas together:

A = 84+96

A= 180

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;