Answer:
If we reject the null hypothesis based on the evidence, then our conclusion should be Option c.
If we do not reject the null hypothesis based on the evidence, then our conclusion should be Option a.
Step-by-step explanation:
We are given that the FDA wants to set up a hypothesis test to show that the new drug is safe before approving it by assuming it to be unsafe.
So, Null hypothesis,
= New drug is unsafe
Alternate Hypothesis,
= New drug is safe
<em>Now, if we reject the null hypothesis based on the evidence, then our conclusion should be that : </em>
There is sufficient evidence to believe that the new drug is safe because rejecting null hypothesis means that alternate hypothesis is accepted with required evidence.
<em>And If we do not reject the null hypothesis based on the evidence, then our conclusion should be that : </em>
There is insufficient evidence to believe that the new drug is safe because not rejecting null hypothesis means that we are not ready with enough evidence to assume that new drug is safe.
Answer:
r = 15
Step-by-step explanation:
Volume of a sphere is given by
V = 4/3 pi r^3
4500 pi = 4/3 pi r^3
Divide each side by pi
4500 = 4/3 r^3
Multiply each side by 3/4
3/4 *4500 = 3/4 *4/3 r^3
3375 = r^3
Take the cube root of each side
(3375)^(1/3) = (r^3)^(1/3)
15 = r
For number 30, its easier if its broken down so were going to make it √200*x^2*y^2*z^2. We can't get a square root of 200 so we will break it into 100*2 to get √2*100*x^2*y^2*z^2. Now let's look at what we can take the square roots of. 2 doesn't have a nice sq. rt. so we will leave it there. 100 has the rt. of 10 so we can make 10√2*x^2*y^2*z^2. X^2 has the root x and we can follow this with the other variables to get 10xyz√2. There is your final simplified answer.
Answer: 4
Step-by-step explanation:
f(g(x)) = f(x+2) = 3(x+2) = 18
x + 2 = 6
x = 4
Answer:
It is not rational
Step-by-step explanation: