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alexdok [17]
2 years ago
7

The area of a semi circle when the radius is 28cm

Mathematics
1 answer:
Stels [109]2 years ago
7 0
I don’t have a calculator on me but do

28^2 = ...
Times that by pi
Then divide by 3
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Stacy is making 2, 1/4 batches of cookies. If each batch calls for 1/3 of a cup of sugar, how much sugar will Stacy use?
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3 years ago
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Researchers studying starfish collected two independent random samples of 40 starfish. One sample came from an ocean area in the
krek1111 [17]

Answer:

The test statistic for the appropriate test is \frac{0.15-0.275}{\sqrt{0.2125(1-0.2125)[\frac{1}{40}+\frac{1}{40}]}}.

Step-by-step explanation:

The experiment conducted here is to determine whether there is a difference in proportion of starfish over 8 inches in length in the two ocean areas, i.e. north and south.

The hypothesis to test this can be defined as follows:

<em>H₀</em>: There is no difference in proportion of starfish over 8 inches in length in the two ocean areas, i.e. <em>p</em>₁ = <em>p</em>₂.

<em>Hₐ</em>: There is a difference in proportion of starfish over 8 inches in length in the two ocean areas, i.e. <em>p</em>₁ ≠ <em>p</em>₂.

The two-proportion <em>z</em>-test would be used to perform the test.

A sample of <em>n</em> = 40 starfishes are selected from both the ocean areas.

It provided that of the 40 starfish from the north, 6 were found to be over 8 inches in length and of  the 40 starfish from the south, 11 were found to be over 8 inches in length.

Compute the sample proportion of starfish from north that were over 8 inches in length as follows:

\hat p_{n}=\frac{6}{40}=0.15

Compute the sample proportion of starfish from south that were over 8 inches in length as follows:

\hat p_{s}=\frac{11}{40}=0.275

The test statistic is:

z=\frac{\hat p_{n}-\hat p_{s}}{\sqrt{P(1-P)[\frac{1}{n_{n}}+\frac{1}{n_{s}}]}}

Compute the combined proportion <em>P</em> as follows:

P=\frac{X_{n}+X_{s}}{n_{n}+n_{s}}=\frac{6+11}{40+40}=0.2125

Compute the test statistic value as follows:

z=\frac{\hat p_{n}-\hat p_{s}}{\sqrt{P(1-P)[\frac{1}{n_{n}}+\frac{1}{n_{s}}]}}

  =\frac{0.15-0.275}{\sqrt{0.2125(1-0.2125)[\frac{1}{40}+\frac{1}{40}]}}

Thus, the test statistic for the appropriate test is \frac{0.15-0.275}{\sqrt{0.2125(1-0.2125)[\frac{1}{40}+\frac{1}{40}]}}.

8 0
3 years ago
If n represents a number,then write an expression for three times the difference of the number and six increased by four times t
Contact [7]

Write and simplify the expression:

3(n-6)+4n

3n-18+4n

7n-18

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3 years ago
What is -56 divided by positive 14
pantera1 [17]

Answer:

-56divided by +14= -4 because the negatives take over if there is only 1

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Step-by-step explanation:

3 0
3 years ago
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Rewrite the expression by factoring (y+7) 3y(y+7)+(y+7)
pogonyaev

Answer:

(3y+2)(y+7)

Step-by-step explanation:

I think you meant (y+7)+3y(y+7)+(y+7). Anyways, we have to count the number of (y+7) there are. The first term tells us we have 1 group. The second term tell us we have 3y groups. The last term tells us we have 1 group. Therefore we have 1+3y+1 groups of y+7 which gives us (3y+2)(y+7)

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3 years ago
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