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stepladder [879]
3 years ago
7

Please help Write the Distributive Property of the following expression using the GCF: (greatest common factor)

Mathematics
1 answer:
STatiana [176]3 years ago
5 0

Answer: 6(5+2)

Step-by-step explanation:

i got it riht on the heomwork assingment

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Customers arrive at a movie theater at the advertised movie time only to find that they have to sit through several previews and
Naddika [18.5K]

Answer:

Using a 90% confidence level

A. A sample size of 68 should be used.

B. A sample size of 98 should be used.

Step-by-step explanation:

I think there was a small typing mistake and the confidence level was left out. I will use a 90% confidence level.

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.9}{2} = 0.05

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.05 = 0.95, so z = 1.645

Now, find the margin of error M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

A. If we want to estimate the population mean time for previews at movie theaters with a margin of error of 72 seconds, what sample size should be used?

We have the standard deviation in minutes, so the margin of error should be in minutes.

72 seconds is 72/60 = 1.2 minutes.

So we need a sample size of n, and n is found when M = 1.2. We have that \sigma = 6. So

M = z*\frac{\sigma}{\sqrt{n}}

1.2 = 1.645*\frac{6}{\sqrt{n}}

1.2\sqrt{n} = 6*1.645

\sqrt{n} = \frac{6*1.645}{1.2}

(\sqrt{n})^{2} = (\frac{6*1.645}{1.2})^{2}

n = 67.65

Rounding up.

A sample size of 68 should be used.

B. If we want to estimate the population mean time for previews at movie theaters with a margin of error of 1 minute, what sample size should be used?

Same logic as above, just use M = 1.

M = z*\frac{\sigma}{\sqrt{n}}

1 = 1.645*\frac{6}{\sqrt{n}}

\sqrt{n} = 6*1.645

(\sqrt{n})^{2} = (6*1.645)^2

n = 97.42

Rounding up

A sample size of 98 should be used.

3 0
2 years ago
A rectangle in Quadrant I rotates 270° counterclockwise. In which quadrant will the transformation lie?
Setler79 [48]
Quadrant IV i believe is right
7 0
3 years ago
Read 2 more answers
What is the solution set of x 2 + 5x - 5 = 0?
zalisa [80]

Answer:

a=1 b=5 c=-5

We solve by using the quadratic formula.

x = -5 +- sq root (5² - 4*1*-5) / (2 * 1)

x = [-5 +- sq root (25 + 20)]/ 2

Step-by-step explanation:

7 0
3 years ago
Helppp (10 points)❤️
kirill [66]

Step-by-step explanation:

You have to expand the expression, then evaluate the power, next, use the properties of radicals, then you simplify the roots.

8 0
2 years ago
What does the slop mean in this situation?
Alja [10]

Slope is the steepness of a line also know as it increasing or decreasing hope this helps

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3 years ago
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