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Murljashka [212]
3 years ago
15

Determine the value of y, if x is –9. y = |x|-7

Mathematics
1 answer:
iren [92.7K]3 years ago
7 0
Answer:

y=|x|-7
If x=-9 then...
y=|-9|-7
First get the absolute value of -9
y=9-7
Subtract, and your answer is...
y=2
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The following triangles are similar. True or False.
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It would be true

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An engineer designed a valve that will regulate water pressure on an automobile engine. The engineer designed the valve such tha
natita [175]

Answer:

Step-by-step explanation:

Given that:

Population Mean = 7.1

sample size = 24

Sample mean = 7.3

Standard deviation = 1.0

Level of significance = 0.025

The null hypothesis:

H_o: \mu = 7.1

The alternative hypothesis:

H_a: \mu > 7.1

This test is right-tailed.

degree \ of \  freedom=  n - 1 \\ \\ degree \  of \  freedom  =  24 - 1 \\ \\ degree \ of \  freedom   = 23

Rejection region: at ∝ = 0.025 and df of 23, the critical value of the right-tailed test t_c = 2.069

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t = \dfrac{ \hat X - \mu_o}{\dfrac{s}{\sqrt{n}}}

t = \dfrac{ 7.3-7.1}{\dfrac{1}{\sqrt{24}}}

t = \dfrac{0.2}{0.204}

t = 0.980

Decision rule:

Since the calculated value of t is lesser than, i.e t = 0.980 < t_c = 2.069, then we do not reject the null hypothesis.

Conclusion:

We conclude that there is insufficient evidence to claim that the population mean is greater than 7.1 at 0.025 level of significance.

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3 years ago
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Step-by-step explanation:

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It is still a rectangle, just slanted. So straiten it out a solve it like a normal area problem:

34 x 40 = 1360 cm2

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