In the figure, the area of the shaded region is 243π cm2. what is the value of x?

Answer

Find out the  value of x.

To  proof

Formula

As given

Radius  of the bigger circle = 18cm

Radius  of the smaller circle =x

As shown in the diagram

shaded area = Area of the bigger circle - Area of the smaller circle

than we have

243 = 324 - x²

324- 243 = x²

√81 = x

9cm = x

the value of x is 9cm .

Hence proved

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;

3

step-by-step explanation: