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Nataly_w [17]
3 years ago
11

You would like to buy new carpet for a room. The room is rectangular. The dimensions are 12 1 third feet by 10 3 over 4 feet. Ho

w many square feet of carpet do you need? Simplify (or reduce) your answer, if necessary.
Mathematics
1 answer:
KatRina [158]3 years ago
3 0
12 1/3 * 10 3/4 = 132.583ft^2
= 133ft^2
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Answer:

The test statistic is z=2.5.

The null hypothesis is rejected.

There is enough evidence to support the claim that more than 10% of the 16 ounce cups are underfilled.

Step-by-step explanation:

This is a hypothesis test for a proportion.

The claim is that more than 10% of the 16 ounce cups are underfilled.

Then, the null and alternative hypothesis are:

H_0: \pi=0.1\\\\H_a:\pi>0.1

The significance level is assumed to be 0.05.

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The sample proportion is p=0.18.

p=X/n=18/100=0.18

The standard error of the proportion is:

\sigma_p=\sqrt{\dfrac{\pi(1-\pi)}{n}}=\sqrt{\dfrac{0.1*0.9}{100}}\\\\\\ \sigma_p=\sqrt{0.001}=0.03

Then, we can calculate the z-statistic as:

z=\dfrac{p-\pi-0.5/n}{\sigma_p}=\dfrac{0.18-0.1-0.5/100}{0.03}=\dfrac{0.075}{0.03}=2.5

This test is a right-tailed test, so the P-value for this test is calculated as:

P-value=P(z>2.5)=0.006

As the P-value (0.006) is smaller than the significance level (0.05), the effect is  significant.

The null hypothesis is rejected.

There is enough evidence to support the claim that more than 10% of the 16 ounce cups are underfilled.

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3 years ago
Simplify this expression 6g^3h^3 /15g
mina [271]

Answer:

Step-by-step explanation:

\frac{6g^{3}*h^{3}}{15g}=\frac{2g^{2}*h^{3}}{5}

3 0
3 years ago
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uysha [10]

Answer:The simplified expression that represents the uncle's age is

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The simplified expression that represents your uncle's age would be

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zheka24 [161]

Answer:

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