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krok68 [10]
2 years ago
11

How to calculate Divide 81 ft in the ratio 5 : 4.

Mathematics
1 answer:
Alex_Xolod [135]2 years ago
4 0

Answer:

45:36 is the answer.

Step-by-step explanation:

Divide 81 by sum of ratio.

81/(5+4)=81/9=9

So,

5×9 : 4×9

45 : 36

Check: 45+36=91

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Answer:

n=(\frac{2.58(4.2)}{2})^2 =29.35 \approx 30

So the answer for this case would be n=30 rounded up to the nearest integer

Step-by-step explanation:

Information given

ME = 2 the margin of error desired

\sigma =4.2 standard deviation from previous studies

The margin of error is given by this formula:

ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}    (a)

And on this case we have that ME =2 and we are interested in order to find the value of n, if we solve n from equation (a) we got:

n=(\frac{z_{\alpha/2} \sigma}{ME})^2   (b)

The critical value for 99% of confidence interval now can be founded using the normal distribution. The significance level is \alpha=0.01 and the critical value would be z_{\alpha/2}=2.58, replacing into formula (b) we got:

n=(\frac{2.58(4.2)}{2})^2 =29.35 \approx 30

So the answer for this case would be n=30 rounded up to the nearest integer

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2 years ago
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3952/13 is 304 pounds at the cost of 13 dollars each fish is 152 pounds
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Bruce's speed when swimming in still water is 5 meters/second. He is swimming in a direction 25° east of north. The current is m
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Answer:

<2.1130913087, 4.53153893518>;  <−3.03108891325, −1.75>; <−0.91799760455, 2.78153893518>

Step-by-step explanation:

Bruce's vector is <5cos(90-25), 5sin(90-25)> = <5cos(65), 5sin(65)> ≈ <2.1130913087, 4.53153893518>

The wind's vector is <3.5cos(270-60), 3.5sin(270-60)> = <3.5cos(210), 3.5sin(210)>  ≈ <−3.03108891325, −1.75>

You add them together to find his actual motion:

<−0.91799760455, 2.78153893518>

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Answer:

$0.40 for each bottle of juice

Step-by-step explanation:

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1 year ago
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Which statement shows how two polynomials 5x − 6 and 6x + 2 demonstrate the closure property when multiplied?
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