To get the surface area of a sphere, we need to have the radius. We are given the circumference. The circumference formula is C=2πr. We need to solve for r.
23 = 2πr
r=3.66
The calculation for surface area is <span>A = 4πr^2.
</span>A = 4<span>π(3.66)^2
Solve for A.
A= 168 cm^2.</span>
If a polynomial is divisible by

, then

is a root of this polynomial.
Here (x-a) is equal to x+2:

So -2 is a root of the polynomial. That means <span>x³-6x²+kx+10</span>=0 for x=-2. Now substitute -2 for x in the equation and solve for k:
Answer: 
Step-by-step explanation:
Given : The speeds of vehicles traveling on a highway are normally distributed .
Standard deviation: 
Since , sample size :
, which is small sample (n<30) so the test applied here is a t-test.
Degree of freedom= 
Sample mean : 
Level of significance : 
Then , significance level : 
Using t-distribution table , Critical value : 
The confidence interval for population mean is given by :-


Hence, a 98% confidence interval for the population mean=
4x - 24y = 72
First subtract 4x from each side
-24y = -4x + 72
Divide each side by -24 so y is by itself
y = -4/-24x + 72/-24
To simplify -4/-24, the greatest common factor they have is -4, so divide the numerator and denominator by -4
y = 1/6x + 72/-24
To simplify 72/-24, the greatest common factor is 24, so divide the numerator and denominator by 24
y = 1/6x - 3
This is now in slope intercept form