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Elena L [17]
2 years ago
14

(03.01 LC)

Mathematics
1 answer:
Sedaia [141]2 years ago
8 0
  • Perpendicular=P=4
  • Base=B=4

Hypotenuse be H

Apply Pythagorean theorem

\\ \tt\hookrightarrow H^2=P^2+B^2

\\ \tt\hookrightarrow H^2=4^2+4^2

\\ \tt\hookrightarrow H^2=32

\\ \tt\hookrightarrow H=\sqrt{32}

\\ \tt\hookrightarrow H=5.8units

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elena-14-01-66 [18.8K]

Answer:

To solve for x the equation would be. (120 - 48) ÷ 2 = X

Step-by-step explanation:

This is because to follow pemdas you do the parenthesis first so you subtract both of the shorter sides. Next since there are two longer sides you divide by two to get the answer. Each longer side is equal to 36 inches.

Hope this helps

6 0
3 years ago
Batteries produced by a manufacturing company have had a life expectancy of 135 hours. Because of an improved production process
Nikolay [14]

Answer:  c. z = 1.35; Reject the null hypothesis

Step-by-step explanation:

Let \mu be the average life expectancy of its batteries.

As per given , we have

Null hypothesis : H_0 : \mu =135

Alternative hypothesis : H_a : \mu >135

Since H_a is right-tailed and population standard deviation is also known, so we perform right-tailed z-test.

Test statistic : \dfrac{\overlien{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}

where, n= sample size

\overlien{x}= sample mean

\mu= Population mean

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For n=42,\ \overline{x}=140\ \&\ \sigma=24, we have

z=\dfrac{140-135}{\dfrac{24}{\sqrt{42}}}=1.35015431217\approx1.35

Critical one-tailed test value for 0.10 significance level :

z_{0.1}=1.28

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[When critical value is less than the test statistic value , we reject the null hypothesis .]

5 0
3 years ago
Slope = -5/2; y-intercept = -3
ivanzaharov [21]

Answer:

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Step-by-step explanation:

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4 0
3 years ago
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Answer:

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Step-by-step explanation:

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y^2 = 400 + 144

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Take the square root of both side

y = √544

y = √(16x34)

y = √16 x √34

y = 4√34

6 0
3 years ago
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Answer:

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