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3 years ago

Find Value of x. The diagram is not to scale.

Mathematics

1 answer:

Allushta [10]3 years ago

8 0

Answer:

x = 45

Step-by-step explanation:

180 - 106 = 74

74 + 61 = 135

180 - 135 = 45

45 = x

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Step-by-step explanation:

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2 years ago

Which line is parallel to the line that passes through the points (1, 7) and (-3, 4)? A. B. C. D.

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3 years ago

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3 years ago

Read 2 more answers

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

sineoko [7]

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 :-

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

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6 0

3 years ago

In April 2008, an audio CD was available for $14.01. the list price (full price) of the CD was $19.32. What was the percent disc

8_murik_8 [283]

19.30 - ( p / 100 )*19.32 = 14.01 ;
19.30( 1 - p/100 ) = 14.01 ;
1 - p/100 = 14.01 / 19.30
1 - p / 100 = 0.72 ;
p/100 = 1 - 72 / 100 ;
p/100 = 28 / 100 ;
p = 28 ;
The percent discount is 28% ;

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3 years ago