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Molodets [167]
2 years ago
5

If the shortest side in a 30° 60° and 90° triangle is a half an inch long find the length of the other two sides

Mathematics
1 answer:
disa [49]2 years ago
5 0
30=1/2 inch
60=1/2x2=1 inch
90=1/2x3=1 1/2

shortest side is 1/2 inch, medium side is 1 inch, longest is 1 1/2
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According to the Bureau of Labor Statistics, the average weekly pay for a U.S. production worker was $441.84 in 1998 (The World
Oksanka [162]

Using the normal distribution, it is found that a production worker has to make $542.64 a week to be in the top 30% of wage earners.

<h3>Normal Probability Distribution</h3>

In a normal distribution 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 \mu = 441.84.
  • The standard deviation is of \sigma = 120.
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Z = \frac{X - \mu}{\sigma}

0.84 = \frac{X - 441.84}{120}

X - 441.84 = 0.84(120)

X = 542.64

A production worker has to make $542.64 a week to be in the top 30% of wage earners.

You can learn more about the normal distribution at brainly.com/question/24663213

3 0
2 years ago
Yun was trying to factor 7x^2-14x7x
disa [49]

the width of Yun's area model is 7x units or ( x-2 )units .

<u>Step-by-step explanation:</u>

Here we have , Yun was trying to factor 7x^2-14x.  He found that the greatest common factor of these terms was 7x and made an area model:  What is the width of Yun's area model. Let's find out:

We know that area of rectangle :

⇒ Area = length(width)  .........(1)

Now , According to question we have

⇒ Area = 7x^2-14x

⇒ Area = 7x(x-2)

Comparing this equation to equation (1) we get that :

⇒ width = 7x or , width =x -2

Therefore , the width of Yun's area model is 7x units or ( x-2 )units .

8 0
3 years ago
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Lowest Common Denominator refers to lowes t common multiple. These expressions have two terms 'x' and 'y' and we want to choose the expression that has the highest power such that the other expressions can be multiplied into the common denominator.

For the 'x' term, the highest power is x⁴ and for the 'y' term, the highest power is y⁵

Common denominator of A, B, C, and D: x⁴y⁵




5 0
3 years ago
Which pair of angles is complementary?
NNADVOKAT [17]

Answer:

2 angles are shown one angle is 56 degrees and the other is 34 degrees

Step-by-step exp

complementary angle=90 degree

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3 years ago
Can someone please answer. There is one problem. There's a picture. Thank you!
julia-pushkina [17]
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