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jok3333 [9.3K]
2 years ago
8

Find the area of the circle. Leave your answer in terms of pie.

Mathematics
1 answer:
lesya692 [45]2 years ago
8 0

Answer:

 A=   18.49π m²

Step-by-step explanation:

Given the diameter of 8.6  (which means the radius is half of that number; 4.3

Area = π × r²

Area = π × (4.3)²

Area = 18.49π m²

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Lina packs 3 inch cups into boxes measuring 12 inches by 15 inches. How many cups fit in one box
sergij07 [2.7K]

20 cups

4 rows of 5 containing the 3 inch cups and 5 columns of 4 containing the 3 inch cups

5 0
2 years ago
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A study was conducted to determine whether magnets were effective in treating pain. The values represent measurements of pain us
Zanzabum

Answer:

Step-by-step explanation:

Hello!

The objective of the study is to determine whether the magnets are effective in treating pain. For these two independent groups of individuals with equal affections were randomly sampled, one was treated with magnets and the other group of individuals, call it control group, was treated with a placebo treatment.

The information for both samples is:

X₁: pain measurement using a visual analog scale after the individual received magnet treatments.

X₁~N(μ₁;σ₁²)

n₁= 20

X[bar]₁= 0.46

S₁= 0.93

X₂: pain measurement using a visual analog scale of an individual of the control groups.

X₂~N(μ₂;σ₂²)

n₂= 20

X[bar]₂= 0.41

S₂= 1.26

The claim is that the pain reductions of the control group have more variation than the pain reductions of the target group. If it's so then we could suspect that the population variance of the control group, σ₂², will be greater than the population variance of the magnet group, σ₁².

To test the relationship between these two population variances you have to conduct a variance ratio test using the Snedecors F statistic.

The hypotheses are:

H₀: σ₂² ≤ σ₁²

H₁: σ₂² > σ₁²

α: 0.05

F= (\frac{S_2^2}{S_1^2}) * (\frac{Sigma_2^2}{Sigma_1^2} )~~ F_{(n_2-1);(n_1-1)}

This hypothesis test is one-tailed to the right, there is only one critical value:

F_{(n_2-1);(n_1-1); 1 - \alpha } = F_{19;19; 0.95}= 2.17

The decision rule for the test is:

If F_{H_0} ≥ 2.17, then the decision is to reject the null hypothesis.

If F_{H_0} < 2.17, then the decision is to not reject the null hypothesis.

F_{H_0}= \frac{S_2^2}{S_1^2}*\frac{Sigma_2^2}{Sigma_1^2}  = \frac{(1.26)^2}{(0.93)^2} * 1

F_{H_0} = 1.835 = 1.84

Since the calculated value of F is less than the critical value, the decision is to reject the null hypothesis. So using a 5% significance level the decision is to not reject the null hypothesis, you can conclude that the population variance of the pain reduction of the control group is less or equal than the population variance of the pain reduction on individuals treated with magnets.

I hope it helps!

3 0
3 years ago
Please help me<br>no links or I WILL report you<br>thank you in advance​
mafiozo [28]

Answer:

the answer is 24 because if you 6 x 4 it's 24

also with 4x6 it's still 24

plz give me a brailnliess

Step-by-step explanation:

4 0
2 years ago
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Ab= 6cm Ac=12cm <br> Calculate the length of Ad <br> Give your answer to 3 significant figures
Allisa [31]

Answer:

12.686cm

Step-by-step explanation:

By using pythagoras, we can find CB.

We know that a^2+b^2=c^2

Therefore, 12^2-6^2=CB^2

CB=\sqrt{108} (it has to be positive since it is distance)

now we look at triangle BCD and use SOH CAH TOA.

Sin55=CB/CD\\Therefore, CD= 12.686

8 0
3 years ago
Simplify using the order of operations.<br> 9−4 ·5+6
Aleksandr-060686 [28]

we know that the multiplication comes first in the family then we start from left to right

4 x 5= 20

9-20 = -11

-11 + 6 = -5

there you go!

3 0
2 years ago
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