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Tanya [424]
3 years ago
7

Sasha is building a tree house. The walls are 6.5 feet tall and she is using a brace to hold up the wall while she nails it to t

he floor. The brace is 8 feet long and she had positioned it 5 feet from the wall. Does her wall meet the floor at a right angle. Explain.
Mathematics
1 answer:
dsp733 years ago
7 0

Answer:

No

Step-by-step explanation:

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A survey of 1 comma 558 randomly selected adults showed that 522 of them have heard of a new electronic reader. The accompanying
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Answer with explanation:

Let  p be the proportion of adults have heard of the new electronic reader.

Given claim : The accompanying technology display results from a test of the claim that 38​% of adults have heard of the new electronic reader.

i.e. p=0.38

Then , the set of hypothesis will be :-

H_0: p=0.38\\\\H_a:p\neq0.38

Since, the alternative hypothesis is two tailed , so the test is two-tailed test.

Also, it is given that the sample size : n=1558

Number of adults showed that they have heard of a new electronic reader=522

So the sample proportion for adults have heard of the new electronic reader : \hat{p}=\dfrac{522}{1558}\approx0.34



The test statistic for proportion is given by :-

z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}\\\\\\\Rightarrow\ z=\dfrac{0.34-0.38}{\sqrt{\dfrac{0.38(1-0.38)}{1558}}}\\\\\\\Rightarrow\ z=-3.25279036541\approx-3.25

By using standard normal distribution table , the P-value for two tailed test corresponds to the obtained z-value ==0.0011541

6 0
3 years ago
If x = 5 units, y = 15 units, and h = 9 units, find the area of the parallelogram shown above using decomposition.
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Answer:

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Step-by-step explanation:

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Simplify the radical expression. show all your steps. sqrt 363-3 sqrt 27
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Sqrt 363  - 3 sqrt27
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8 0
3 years ago
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