2. a circular clock face has a diameter of 31 cm. what is the area of the
clock face?
a. 754.4 cm2
b.
3017.5 cm2
48.7 cm2
d.
961 cm2

The answer is 754.4 cm²

Step-by-step explanation:

a = r²π

a = (31/2)²π

a ≈ 754.4

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;

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