The area of a circle is defined as Pi R^2

Since we only have the diameter and Pi, we need to solve for the radius.

The radius is 1/2 of the diameter, so divide 6 by 2 to get our radius.
6 / 2 = 3

Our radius is 3.

Now let's plug in our formula.

A = 3.14 x 3^2

3 x 3 = 9
9 x 3.14 = 28.26

Your area is 28.26 units ^2

I hope this helps!

4 0

4 years ago

a bank manager wants to know the mean amount of mortgage paid per month by homeowners in an area. a random sample of 120 homeown

Oksi-84 [34.3K]

Answer:

[ 1,532.41, 1,617.59]

Step-by-step explanation:

Data provided :

Sample size, n = 120

Mean = $1,575

Standard deviation = $215

Confidence level = 97%

Now,

Confidence interval = Mean ± $z\frac{\sigma}{\sqrt n}$

also,

for 97% confidence level z score = 2.17 [from standard z-table]

= $1,575 ± $2.17\frac{215}{\sqrt {120}}$

= $1,575 ± 42.59

Therefore,

Confidence interval = [ $1,575 - 42.59, $1,575 + 42.59]

= [ 1,532.41, 1,617.59]

4 0

4 years ago

If s(x) = x – 7 and t(x) = 4x2 – x + 3, which expression is equivalent to (t*s)(x)

lesya [120]

S(x) = x - 7; t(x) = 4x² - x + 3

(t · s)(x) = (4x² - x + 3)(x - 7) = (4x²)(x) + (4x²)(-7) - (x)(x) - (x)(-7) + (3)(x) + (3)(-7)

= 4x³ - 28x² - x² + 7x + 3x - 21 = 4x³ - 29x² + 10x - 21

8 0

3 years ago