Answer:
b = ∛16 ≈ 2.520
Step-by-step explanation:
The area bounded by y=x^2 and y=b is given by the integral ...
For b = 4,
A(4) = (4/3)4^(3/2) = 32/3
We want to find b such that the area is half that, or ...
A(b) = (1/2)(32/3) = 16/3
So, we're solving the equation ...
16/3 = 4/3b^(3/2)
4 = b^(3/2) . . . . . . . . . . . . . . multiply by 3/4
4^(2/3) = b = ∛16 . . . . . . . . raise to the 3/2 power
Answer:
The concept or process is ![x^{\frac{m}{n}}=(\sqrt[n]{x})^m](https://tex.z-dn.net/?f=x%5E%7B%5Cfrac%7Bm%7D%7Bn%7D%7D%3D%28%5Csqrt%5Bn%5D%7Bx%7D%29%5Em)
.
Step-by-step explanation:
Consider the provided information.
The following property can be used to rewrite each radical as an exponent.
The numerator tells the power of the resulting rational exponent, and the denominator of the rational exponents tells the root of that number.
For example:
![(27)^{\frac{2}{3}}=(\sqrt[3]{27})^2](https://tex.z-dn.net/?f=%2827%29%5E%7B%5Cfrac%7B2%7D%7B3%7D%7D%3D%28%5Csqrt%5B3%5D%7B27%7D%29%5E2)
Hence, the concept or process is .
I believe it’s -12w+16x+20
Answer:
C. He should run a T-test, and approximating it with a normal distribution would be inappropriate.
Step-by-step explanation:
We are told that the standard deviation is unknown.
Now in statistics, when we know the standard deviation, then we use a Z-test but when we don't know the standard deviation, then we will use a t-test.
Now, the t-test assumes a normal distribution for difference in mean of samples but it doesn't assume so for population.
Thus, we will run a t-test and doesn't need to approximate with a normal distribution.
Short Answer: AB
Argument
Take F to be the center. The line segment that IS a diameter or radius must either go through F (that would make the line a diameter) or to be a radius the segment mus end in F and touch the circumference once. See below.
The diameter must not only go through F, it must touch the circumference in two places. EFB is a diameter. So is AFC
The radius must have 1 endpoint at the center and one endpoint on the circumference. DF is a radius.
So what isn't? Answer: AB isn't. It neither goes through F nor is F one of the end points.
Answer: AB
