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2 years ago

Do the step by step process thank u soooooo much

Mathematics

1 answer:

Yakvenalex [24]2 years ago

5 0

Answer:

Surface area: 199.27 cm

Volume: 129.8 cm³

Step-by-step explanation:

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Which of the following is(are) the solution(s) to |5x+2|=8

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Option A.

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2 years ago

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n automatic machine in a manufacturing process is operating properly if the lengths of an important subcomponent are normally di

Paraphin [41]

Answer:

0.3557 = 35.57% probability that one selected subcomponent is longer than 118 cm.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

Normally distributed with a mean of 116 cm and a standard deviation of 5.4 cm.

This means that $\mu = 116, \sigma = 5.4$

Find the probability that one selected subcomponent is longer than 118 cm.

This is 1 subtracted by the pvalue of Z when X = 118. So

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

$Z = \frac{118 - 116}{5.4}$

$Z = 0.37$

$Z = 0.37$ has a pvalue of 0.6443

1 - 0.6443 = 0.3557

0.3557 = 35.57% probability that one selected subcomponent is longer than 118 cm.

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2 years ago

What is the length of side TS?

balandron [24]

Step-by-step explanation:

In order to find the length of side TS, first we need to find the length of side TR which is perpendicular to side QS.

By Geometric mean property:

${TR} = \sqrt{6 \times 12} \\ \therefore \: {TR} = \sqrt{6 \times 6 \times 2} \\ \therefore \: {TR} = 6\sqrt{2} \\ \\ In \: right \: \triangle \: TRS: \\ TS^2 = TR^2 + RS^2 \\ \therefore \: (3x)^{2} = {(6 \sqrt{2}) }^{2} + {(12)}^{2} \\ \therefore \: 9x^{2} = 72 + 144 \\ \therefore \: 9x^{2} =2 1 6 \\ \therefore \: x^{2} = \frac{2 1 6}{9} \\ \therefore \: x^{2} =24 \\ \therefore \: x = \sqrt{24} \\ \therefore \: x = 4.89897949 \\ \therefore \: x \approx \: 4.9 \\ \therefore \: 3x = 3 \times 4.9 \\ \therefore \: 3x =14.7 \\ \huge \red{ \boxed{\therefore \: TS = 14.7 \: units}}$

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2 years ago

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A triangle has two sides measuring 10 inches and 16 inches. The angle opposite the 16-inch side measures 68.9°. Solve the triang

Nezavi [6.7K]

Answer:

measure of two unknown angles are 35.7° and 75.4°

measure of one unknown side is 16.6 inches

Step-by-step explanation:

i used law of sines to find the angle opposite 10 inch side

sin 68.9/16 = sinФ/10

Ф = 35.7°

then is added 35.7 and 68.9 and subtracted the sum from 180° to get the measure of the third angle, 75.4°

i used law of sines again to find the measure of the third side

sin 68.9/16 = sin 75.4/x

x = 16.59

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Answer:

Step-by-step explanation:

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