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3 years ago

Solve P=hr(1-d) for d

Mathematics

2 answers:

xz_007 [3.2K]3 years ago

7 0

D= hr-p/hr is your Answer

cupoosta [38]3 years ago

4 0

To solve the given equation $P=hr(1-d)$

By using the distributive property "a(b+c)=ab+ac"

$P=hr-hrd$

$hrd=hr-P$

$d=\frac{hr-P}{hr}$

$d=1-\frac{P}{hr}$

Therefore, $d=1-\frac{P}{hr}$ is the value of 'd'.

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worty [1.4K]

Answer:

A) 25

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Step-by-step explanation:

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Adrianna can read 7 pages in 10 minutes. At this rate,how many pages can she read in 25 minutes

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Use a proportion. 7/10 = x/25. Multiply 10 by 2.5 to get 25. Similarly, multiply 7 by 2.5 to get 17.5. 17 1/2 pages.

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A car uses 30 gallons of gasoline for a trip of 800 miles. How many gallons would

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3 years ago

Reading proficiency: An educator wants to construct a 99.5% confidence interval for the proportion of elementary school children

Shkiper50 [21]

Answer:

A sample size of 345 is needed so that the confidence interval will have a margin of error of 0.07

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

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

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z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

The margin of error of the interval is given by:

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

In this problem, we have that:

$p = 0.69$

99.5% confidence level

So $\alpha = 0.005$ , z is the value of Z that has a pvalue of $1 - \frac{0.005}{2} = 0.9975$ , so $Z = 2.81$ .

Using this estimate, what sample size is needed so that the confidence interval will have a margin of error of 0.07?

This is n when M = 0.07. So

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

$0.07 = 2.81\sqrt{\frac{0.69*0.31}{n}}$

$0.07\sqrt{n} = 1.2996$

$\sqrt{n} = \frac{1.2996}{0.07}$

$\sqrt{n} = 18.5658$

$(\sqrt{n})^{2} = (18.5658)^{2}$

$n = 345$

A sample size of 345 is needed so that the confidence interval will have a margin of error of 0.07

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3 years ago

The sum of all but one interior angle of a heptagon is 776°. what is the measure of the final interior angle? 42º 56º 124º 304º

Mekhanik [1.2K]

A heptagon has seven sides. The measure of the final interior angle of the heptagon is 124°.

<h3>What is heptagon?</h3>

A heptagon, sometimes known as a septagon, is a seven-sided polygon. The heptagon is also known as the septagon, which combines the prefix "sept-" with the Greek suffix "-agon," which means "angle."

A heptagon has 7 sides therefore, the sum of the interior angle of the heptagon can be written as,

$\text{Sum of intetrior angles of a polygon with n sides} = (n-2)\times 180^o\\\\\text{Sum of all the angle of heptagon} = (7-2) \times 180^o = 900^o$

As it is said in the problem that the sum of the all the angles of the heptagon except one is 776°, therefore, the measure of the last angle of the heptagon is,

The measure of the last angle = 900° - 776° = 124°

Hence, the measure of the final interior angle of the heptagon is 124°.

Learn more about Heptagon:

brainly.com/question/12630702

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