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Reika [66]
2 years ago
11

The area of a rectangle is 25/42 and its width is 5/6. What is the length? ASAP

Mathematics
1 answer:
Serhud [2]2 years ago
8 0

Answer:

<h2>length =  \frac{25}{28}</h2>

Step-by-step explanation:

Let the length of the rectangle be l

Area of a rectangle = length × width

From the question

Area = 25/42

width = 5/6

Substitute the values into the above formula and solve for the length

That's

<h3>length =  \frac{area}{width}</h3>

So we have

<h3>length =  \frac{25}{42}  \div  \frac{4}{6}  \\  =  \frac{25}{42}  \times  \frac{6}{4}  \\  =  \frac{25}{7}  \times  \frac{1}{4}</h3>

We have the final answer as

<h3>\frac{25}{28}</h3>

Hope this helps you

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In circle S,diameter PN is drawn .If measurement arc MN=110 degrees and PS=10 then find the length of MN to the nearest tenth.Sh
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Answer:

MN=16.4\ units

Step-by-step explanation:

step 1

Find PN

we know that

PN is a diameter

PS is a radius

PS=10\ units

so

PN=2*PS=2*10=20\ units

step 2

Find the measure of arc MP

arc\ MN+arc\ MP=180\°

arc\ MN=110\°

arc\ MP=180\°-110\°=70\°

step 3

Find the measure of angle MNP

we know that

The inscribed angle measures half that of the arc comprising

substitute the value

step 4

Find the measure of angle MPN

we know that

The inscribed angle measures half that of the arc comprising

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step 5

Find the measure of angle NMP

The sum of the internal angles of a triangle must be equal to 180 degrees

therefore

The triangle MNP is a right triangle

step 6

Find the length MN

In the right triangle MNP

sin(

substitute the values

sin(55\°)=\frac{MN}{20}

MN=(20)sin(55\°)=16.4\ units

7 0
2 years ago
In the diagram, AB and EF are horizontal lines and CB is a vertical line segment. If FB : FC = 4 : 3, what are the coordinates o
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3.30 Survey response rate. Pew Research reported in 2012 that the typical response rate to their surveys is only 9%. If for a pa
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Answer:

0% probability that at least 1,500 will agree to respond

Step-by-step explanation:

I am going to use the binomial approximation to the normal to solve this question.

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Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

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The standard deviation of the binomial distribution is:

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Normal probability distribution

Problems of normally distributed samples can be 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:

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When we are approximating a binomial distribution to a normal one, we have that \mu = E(X), \sigma = \sqrt{V(X)}.

In this problem, we have that:

n = 15000, p = 0.09

So

\mu = E(X) = np = 15000*0.09 = 1350

\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{15000*0.09*0.91} = 35.05

What is the probability that at least 1,500 will agree to respond

This is 1 subtracted by the pvalue of Z when X = 1500-1 = 1499. So

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