Answer:
Radius of the convergence is R =
and,
The Interval of convergence is
Step-by-step explanation:
Given function : Σ(21x)^k
Now,
Using the ratio test, we have
R =
or
R =
or
R =
now,
for convergence R|x| < 1
Therefore,
< 1
or
and,
Radius of the convergence is R =
and,
The Interval of convergence is
Considering the situation described, the hypothesis tested are given as follows:
- The null hypothesis is
- The alternative hypothesis is
<h3>What are the hypothesis tested?</h3>
At the null hypothesis, it is tested if the standard deviation is not less than $23, that is:
At the alternative hypothesis, it is tested if there is significant evidence t conclude that the standard deviation is less than $23, that is:
More can be learned about an hypothesis test at brainly.com/question/26454209
Answer:
<u>f(g(x)) = 9x² + 15x + 2</u>
Step-by-step explanation:
- f(x) = x² + 5x + 2
- g(x) = 3x
<u>Solving f(g(x))</u>
- f(g(x))
- f(3x)
- f(3x) = (3x)² + 5(3x) + 2
- f(3x) = 9x² + 15x + 2
- <u>f(g(x)) = 9x² + 15x + 2</u>
Answer: I saw on another post on here with the same question that someone said it was
B. The sum of the volumes of X and Z equals the volume of Y.
Answer:
a. 5
b. -3
Step-by-step explanation:
a. (5*(8^1/3 + 27^1/3)^3)^1/4
= ((40^1/3 + 135^1/3)^3)^1/4
≈ ((3.42 + 5.13)^3)^1/4
≈ (8.55^3)^1/4
≈ 625^4
= 5
b. 64^-1/3*(64^1/3 - 64^2/3)
= 0.25*(4 - 16)
= 1/4 or 0.25 *-12
= -12*1 / 4
= -12/4
= -3
Hope this helped :3