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Mademuasel [1]
3 years ago
7

A carpet sells for $27.99 a square yard. what is the price of the carpet per square meter?

Mathematics
1 answer:
scoundrel [369]3 years ago
5 0
Note that
1 yd = 0.9144 m
1 yd² = (0.9144 m)² = 0.8361 m²

The carpet sells for $27.99 per square yard.
Therefore the selling price is
(27.99 \, \frac{\$}{yd^{2}} )*( \frac{1}{0.8361}  \,  \frac{yd^{2}}{m^{2}} ) = 33.48 \,  \frac{\$}{m^{2}}

Answer: $33.48 per square meter.
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-6x^2+x+8

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Add -1 and 9 because they are the only like terms

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(c) micrograms (µg)

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3 years ago
A physical therapist wants to determine the difference in the proportion of men and women who participate in regular sustained p
Alekssandra [29.7K]

Using the z-distribution and the formula for the margin of error, it is found that:

a) A sample size of 54 is needed.

b) A sample size of 752 is needed.

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of \alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which z is the z-score that has a p-value of \frac{1+\alpha}{2}.

The margin of error is of:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

90% confidence level, hence\alpha = 0.9, z is the value of Z that has a p-value of \frac{1+0.9}{2} = 0.95, so z = 1.645.

Item a:

The estimate is \pi = 0.213 - 0.195 = 0.018.

The sample size is <u>n for which M = 0.03</u>, hence:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.03 = 1.645\sqrt{\frac{0.018(0.982)}{n}}

0.03\sqrt{n} = 1.645\sqrt{0.018(0.982)}

\sqrt{n} = \frac{1.645\sqrt{0.018(0.982)}}{0.03}

(\sqrt{n})^2 = \left(\frac{1.645\sqrt{0.018(0.982)}}{0.03}\right)^2

n = 53.1

Rounding up, a sample size of 54 is needed.

Item b:

No prior estimate, hence \pi = 0.05

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.03 = 1.645\sqrt{\frac{0.5(0.5)}{n}}

0.03\sqrt{n} = 1.645\sqrt{0.5(0.5)}

\sqrt{n} = \frac{1.645\sqrt{0.5(0.5)}}{0.03}

(\sqrt{n})^2 = \left(\frac{1.645\sqrt{0.5(0.5)}}{0.03}\right)^2

n = 751.7

Rounding up, a sample of 752 should be taken.

A similar problem is given at brainly.com/question/25694087

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2 years ago
Ba - ha = c <br> solve for a
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Answer:

h = \frac{c}{b-h}

Step-by-step explanation:

Given

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a(b - h) = c ← divide both sides by (b - h)

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