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Stells [14]
3 years ago
8

What is the simplified form of:

Mathematics
1 answer:
irga5000 [103]3 years ago
7 0
Last choice is correct
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t is known that the population variance equals 484. With a 0.95 probability, the sample size that needs to be taken if the desir
PtichkaEL [24]

Answer:

The sample size needed to be taken is approximately 74.

Step-by-step explanation:

To get alpha; we have 1 - 0.95 = 0.05

Therefore, z_{\frac{a}{2} }  = \frac{0.05}{2}  = 0.025

The we look up z* in a Standard Normal table where α = 0.025 area in each tail.

From the table, z* = 1.96

From the question variance is 484, then the standard deviation is 22

Standard deviation = \sqrt{Var(x)}  = \sqrt{484}  = 22

And margin of error is 5 or less

The formula for margin of error is given as:

margin of error = \frac{(z^{*}) (SD)}{\sqrt{n} }

5 = \frac{1.96  * 22}{\sqrt{n} } \\5 = \frac{43.12}{\sqrt{n} } \\5 * \sqrt{n}  = 43.12\\(5)^{2}  * (\sqrt{n} )^{2} = (43.12)^2\\25 * n = 1859.3344\\25n =  1859.3344\\\frac{25n}{25}  = \frac{1859.3344}{25} \\n = 74.373376\\n = 74

The approximate value of n is 74.

3 0
3 years ago
Here you gooooo 20 freeee pojntdsssss
yuradex [85]

Answer:

thanks

Step-by-step explanation:

3 0
3 years ago
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What is the GCF of 16;14 ?
puteri [66]

Answer:

2

Step-by-step explanation:

Factors for 14: 1, 2, 7, and 14. Factors for 16: 1, 2, 4, 8, and 16.

The greatest common factor being 2, as they both have it.

8 0
3 years ago
50 points please help
ioda
4x row 3 box 2 that’s the only one I know
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3 years ago
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The plane is vertical. What best describes the shape of the cross section
frutty [35]

Answer:

  • triangle

Step-by-step explanation:

Any cut plane parallel to the parallel faces will create a cross section congruent with the parallel faces. The faces are triangles, so the cross section is a triangle.

3 0
3 years ago
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