Answer:
50.24 or 50.272
Step-by-step explanation:
Square radius and then times by 3.14 or 3.142
4^2*3.14 = 50.24
4^2*3.142 = 50.272
For $25 exactly is 8.3 cookies (recurring 3) but that is highly unrealistic, so over 25 dollars is 9 cookies (for 27 dollars) at the very least.
Answer:
Step-by-step
If you don't want to have anything left over, then the highest common factor is
36: 2 * 2 * 3 * 3
45: 3 * 3 * 5
The highest common factor is 9.
So he can make nine packages with
4 pencils in each one and
5 erasers in each package.
Answer:
50 pieces
Step-by-step explanation:
1 decimeter = 0.1 meter
Therefore,

Thus, 50 pieces can be cut.
Answer:
Desision is to not reject the null hypothesis, this means that the variance of the second population is equal or greater than the variance of the first population.
Step-by-step explanation:
Hello!
You have the hypothesis set:
H₀: δ₁² ≤ δ₂²
H₁: δ₁² > δ₂²
α: 0.01
To study the population variance of two populations you have to work with the F-distribution. The statistic is:
F= (S₁²/S₂²)*(σ₁²/σ₂²) ~ F
This is a one tailed test, the critical value is

If the statistic value F
≥ 9.15, the decision is to reject the null hypothesis.
If the value F
< 9.15, the decision is to not reject the null hypothesis.
F
= (S₁²/S₂²)*(σ₁²/σ₂²) = (12/7) * 1
F
= 1.714
Desision is to not reject the null hypothesis, this means that the variance of the second population is equal or greater than the variance of the first population.
I hope you have a SUPER day!