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olchik [2.2K]
3 years ago
15

In a triangle ABC, with angles A, B, and C and sides AB, BC, and AC, angle B is a right (90°) angle. If the sin of angle A is 0.

5 and side BC is 8 inches long, what is the length of side AC?

Mathematics
1 answer:
rewona [7]3 years ago
5 0
I hope this helps you

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A child walks to the store 1/2 mile and back. what is the displacement?
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Number 12.
blondinia [14]

Answer:

22) 22

23) -350

Step-by-step explanation:

22)

1/4 = 0.25 ft

5.5 / 0.25 = 22

Answer: 22 tiles are needed

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12(x + 360) = 120

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Items produced by a manufacturing process are supposed to weigh 90 grams. The manufacturing procon
Annette [7]

Using the normal distribution, it is found that 0.26% of the items will either  weigh less than 87 grams or more than  93 grams.

In a <em>normal distribution</em> with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

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

  • It 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, which is the percentile of X.

In this problem:

  • The mean is of 90 grams, hence \mu = 90.
  • The standard deviation is of 1 gram, hence \sigma = 1.

We want to find the probability of an item <u>differing more than 3 grams from the mean</u>, hence:

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

Z = \frac{3}{1}

Z = 3

The probability is P(|Z| > 3), which is 2 multiplied by the p-value of Z = -3.

  • Looking at the z-table, Z = -3 has a p-value of 0.0013.

2 x 0.0013 = 0.0026

0.0026 x 100% = 0.26%

0.26% of the items will either  weigh less than 87 grams or more than  93 grams.

For more on the normal distribution, you can check brainly.com/question/24663213

4 0
3 years ago
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