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andrew-mc [135]
3 years ago
11

The length of one leg of a right triangle is 21 ft and the length of the hypotenuse is 29 ft. What is the length of the other le

g?
Mathematics
1 answer:
alexgriva [62]3 years ago
8 0
The length of the other leg is 20 ft.
a^2 x b^2 = c^2
21^2 x b^2 = 29^2
441 x b^2 = 841
b^2 = 841-441
b^2 = 400
b = \sqrt{400}
b = 20
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SOLUTION

We will use the formula

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Applying we have

\begin{gathered} Z=\frac{51.3-50}{\frac{6}{\sqrt{40}}} \\ Z=\frac{1.3}{\frac{6}{\sqrt{40}}} \\ Z=1.37032 \end{gathered}

Now using a Zscore calculator for 1.370320, we have

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1 year ago
A study found that the average stopping distance of a school bus traveling 50 mph was 264 feet. a group of automotive engineers
lutik1710 [3]

Answer:

Step-by-step explanation:

Given that a  study found that the average stopping distance of a school bus traveling 50 mph was 264 feet.

Sample taken showed the following results

n=40\\\bar x =262.3 feet\\Std dev = \sigma= 3 ft

Since population std deviation is known and sample size is large, z test can be used.

H_0: \bar x=264\\H_a: \bar x

(Left tailed test)

Mean difference = 264-262.3 = 1.7

Std error = \frac{\sigma}{\sqrt{n} } \\=\frac{3}{\sqrt{40} } \\=0.474

Z = test statistic = mean diff/std error

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There is evidence to show that mean is less than 264 feet

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Sample are randomly drawn

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4 0
3 years ago
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I would plug in each of the solutions to every equation and see which one works. This is probably easier than solving for x, y, and z. But let me know if you would like me to run through the steps!

First choice: using the first equation, -3(-3)-4(4)+6=-19 not -1 as listed. False.

Second choice: using the first equation, -3(4)-4(-3)+(-1)=-1 ; using the second equation, 2(4)+(-3)-(-1)=6 not -8 as listed. False.

Third choice: using the first equation, -3(-3)-4(4)+8=-17 not -1 as listed. False.

Fourth choice: using the first equation, -3(3)-4(-4)+-(-6)=-1 ; using the second equation,
2(3)+(-4)-(-6)=8 ; using the third equation, 3+8(-4)-(-6)=23

So the answer should be the fourth choice. Hope this helps! :)




4 0
4 years ago
What is the y- intercept of a line that has a slope of -3 and passes through point (-5,4)?​
OlgaM077 [116]

Answer:B is the answer -11

Step-by-step explanation:

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Answer:

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