Ginny is cutting construction paper into rectangles. She needs to cut one rectangle that is 16 inches × 13 1/4 inches. She needs to cut another rectangle that is 10 1/3 inches by 10 1/4 inches. How many total square inches of construction paper does Ginny need?

317.92 square inches

Step-by-step explanation:

Rectangle A:

Area of a rectangle = length × width

Length = 16 inches

Width = 13 1/4 inches = 53/4 inches

Area of a rectangle = length × width

= 16 inches × 53/4 inches

= (16 * 53) / 4 inches²

= 848/4

= 212 square inches

Rectangle B:

Area of a rectangle = length × width

Length = 10 1/3 inches = 31/3 inches

Width = 10 1/4 inches = 41/4 inches

Area of a rectangle = length × Width

= 31/3 inches × 41/4 inches

= (31 * 41) / (3 * 4) square inches

= 1271 / 12

= 105.92 square inches

How many total square inches of construction paper does Ginny need?

total square inches needed = Area of rectangle A + Area of rectangle B

= 212 square inches + 105.92 square inches

= 317.92 square inches

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;