The Spartans are decorating their circular banner for an upcoming play off game. The banner has a diameter of 8 feet. How much paint would it take to cover half the banner with red paint? A. 100.48 ft
B. 200.96 ft
C. 50.24 ft
D. 25.12 ft

Correct option :

Steps to derive the correct option :

Diameter of circular banner = 8 feet

Radius of circular banner = 4 feet

Area of the circular banner :

Thus, the area of the circular banner = 50.24 feet

Paint taken to cover half of the banner :

Therefore, paint it would take to color half of the banner in red = 25.12 ft

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;

answer is because 4×10=40

and 98×4= is 392

40,392