I need help with this please help me I need to show work too

Mathematics

1 answer:

crimeas [40]3 years ago

6 0

Answer:

55+19.50m=250

Step-by-step explanation:

55 is the intial fee it doesn't have to be multiplied by anything.

19.50 is monthly it is multiplied by how many months she is going to be there. the amount of months is unknown so you use a variable I chose m for months or monthly.

it will be set equal to 250 because that is the amount of money that she has to spend.

I hope this helps I am sorry if it is wrong

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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 = $\frac{(z^{*}) (SD)}{\sqrt{n} }$

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