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TEA [102]
3 years ago
11

Can someone help me with number 11 please?

Mathematics
1 answer:
ANEK [815]3 years ago
4 0
11. The sum of these two angles is equal to 180.
So, 3x-4/2+4x+x/2+2=180.
Combine like terms: 4x-4/2+4x+2=180
Find and replace common denominator: 4x-4/2+8x+4/2=180
Combine like terms: 12x/2=180
Simplify: 6x=180, x=30
Check: 90-4/2=43, 120+15+2=137, 43+137=180
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The p value for this case can be calculated with this probability:

p_v =2*P(z  

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Step-by-step explanation:

Information given

n=340 represent the random sample taken

\hat p=0.60 estimated proportion of readers owned a laptop

p_o=0.65 is the value that we want to test

z would represent the statistic

p_v{/tex} represent the p valueHypothesis to testWe want to check if the true proportion of readers owned a laptop if different from 0.65&#10;Null hypothesis:[tex]p=0.65  

Alternative hypothesis:p \neq 0.65  

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z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

Replacing we got:

z=\frac{0.60 -0.65}{\sqrt{\frac{0.65(1-0.65)}{340}}}=-1.933  

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