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motikmotik
3 years ago
12

Please solve this question for a

Mathematics
2 answers:
ohaa [14]3 years ago
7 0

Answer:

<h2>a =  \frac{8A}{\pi {r}^{2} }  + 1 \\</h2>

Step-by-step explanation:

A =  \frac{1}{8} \pi {r}^{2} (a - 1) \\

First of all multiply through by 8 to eliminate the fraction

That's

8A = 8 \times  \frac{1}{8} \pi {r}^{2} (a - 1) \\8 A = \pi {r}^{2} (a - 1)

<u>Divide both sides by πr²</u>

\frac{8A}{\pi {r}^{2} }  =  \frac{\pi {r}^{2}(a - 1) }{\pi {r}^{2} }  \\ a - 1 =  \frac{8A}{\pi {r}^{2} }

Move 1 to the other side of the equation to make a stand alone

We have the final answer as

a =  \frac{8A}{\pi {r}^{2} }  + 1 \\

Hope this helps you

Mashutka [201]3 years ago
7 0

Answer:

a = (8A)/(\pi r^(2))+1

Step-by-step explanation:

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PLEASE ANSWER THIS ASAP !!!
Inga [223]

Answer:

Step-by-step explanation:

Finding the answer to the second box is easy. Just look at where the line hits the y axis. That point is (0,5). Put a 5 in the second box.

-2

Now pick two points How about (0,5) and (2,1)

Givens

y2 = 5

y1 = 1

x2 = 0

x1 = 2

Formula

m = (y2 - y1) / (x2 - x1)

m = (5 - 1)/(0 - 2)

m = 4 / - 2

m = - 2

Answer

So the first box contains - 2

7 0
3 years ago
If 11 runners are participating in a race, how many different ways can there be first and second place runners?
MrRa [10]
Only <span>first and second place runners:
</span>11*10=110 ways

Hope that helped.
6 0
3 years ago
You have a 40% coupon, what will the price be of shoes that cost 45
Bond [772]

Answer:

20.25

Step-by-step explanation:

45x.40=20.25

4 0
3 years ago
The mean points obtained in an aptitude examination is 159 points with a standard deviation of 13 points. What is the probabilit
Korolek [52]

Answer:

0.4514 = 45.14% probability that the mean of the sample would differ from the population mean by less than 1 point if 60 exams are sampled

Step-by-step explanation:

To solve this question, we have to understand the normal probability distribution and the central limit theorem.

Normal probability distribution:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central limit theorem:

The Central Limit Theorem estabilishes that, for a random variable X, with mean \mu and standard deviation \sigma, a large sample size can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}

In this problem, we have that:

\mu = 159, \sigma = 13, n = 60, s = \frac{13}{\sqrt{60}} = 1.68

What is the probability that the mean of the sample would differ from the population mean by less than 1 point if 60 exams are sampled?

This is the pvalue of Z when X = 159+1 = 160 subtracted by the pvalue of Z when X = 159-1 = 158. So

X = 160

Z = \frac{X - \mu}{\sigma}

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{160 - 159}{1.68}

Z = 0.6

Z = 0.6 has a pvalue of 0.7257

X = 150

Z = \frac{X - \mu}{s}

Z = \frac{158 - 159}{1.68}

Z = -0.6

Z = -0.6 has a pvalue of 0.2743

0.7257 - 0.2743 = 0.4514

0.4514 = 45.14% probability that the mean of the sample would differ from the population mean by less than 1 point if 60 exams are sampled

7 0
3 years ago
In a circuit electrons flow in one direction.
dexar [7]

Answer:

true

Step-by-step explanation:

let me know if this is right

4 0
3 years ago
Read 2 more answers
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