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lapo4ka [179]
2 years ago
7

2. Two lines intersect at E. Find the value of x Helpppp I will give Brainly

Mathematics
1 answer:
777dan777 [17]2 years ago
8 0

Answer:

38

Step-by-step explanation:

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The U.S. Census Bureau conducts annual surveys to obtain information on the percentage of the voting-age population that is regi
yan [13]

Answer:

We conclude that the percentage of employed workers who have registered to vote exceeds the percentage of unemployed workers who have registered to vote.

Step-by-step explanation:

We are given that 513 employed persons and 604 unemployed persons are independently and randomly selected, and that 287 of the employed persons and 280 of the unemployed persons have registered to vote.

Let p_1 = <u><em>percentage of employed workers who have registered to vote.</em></u>

p_2 = <u><em>percentage of unemployed workers who have registered to vote.</em></u>

So, Null Hypothesis, H_0 : p_1\leq p_2      {means that the percentage of employed workers who have registered to vote does not exceeds the percentage of unemployed workers who have registered to vote}

Alternate Hypothesis, H_A : p_1>p_2     {means that the percentage of employed workers who have registered to vote exceeds the percentage of unemployed workers who have registered to vote}

The test statistics that would be used here <u>Two-sample z test for proportions;</u>

                          T.S. =  \frac{(\hat p_1-\hat p_2)-(p_1-p_2)}{\sqrt{\frac{\hat p_1(1-\hat p_1)}{n_1}+\frac{\hat p_2(1-\hat p_2)}{n_2} } }  ~ N(0,1)

where, \hat p_1 = sample proportion of employed workers who have registered to vote = \frac{287}{513} = 0.56

\hat p_2 = sample proportion of unemployed workers who have registered to vote = \frac{280}{604} = 0.46

n_1 = sample of employed persons = 513

n_2 = sample of unemployed persons = 604

So, <u><em>the test statistics</em></u>  =  \frac{(0.56-0.46)-(0)}{\sqrt{\frac{0.56(1-0.56)}{513}+\frac{0.46(1-0.46)}{604} } }

                                       =  3.349

The value of z test statistics is 3.349.

<u>Now, at 0.05 significance level the z table gives critical value of 1.645 for right-tailed test.</u>

Since our test statistic is more than the critical value of z as 3.349 > 1.645, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which <u>we reject our null hypothesis</u>.

Therefore, we conclude that the percentage of employed workers who have registered to vote exceeds the percentage of unemployed workers who have registered to vote.

5 0
3 years ago
The diagram shows two rectangles which have the same area . Find the value of y.​
jeka57 [31]

Answer:

y = 4

Step-by-step explanation:

Since the 2 rectangles have the same area, then

12.5 × 2y = 5 × 20

25y = 100 ( divide both sides by 25 )

y = 4

7 0
3 years ago
I NEED HELP PLEASEE
Alborosie

Answer:

i cant see the picture

Step-by-step explanation:

4 0
3 years ago
Which equation represents a line which is perpendicular to the line y = -x + 8?
natima [27]

Two lines are perpendicular between each other if their slopes fulfills the following property

m_1m_2=-1

where m1 and m2 represents the slopes of line 1 an 2, respectively.

To find the slope of a line we can write it in the form slope-intercept form

y=mx+b

Our original line is

y=-\frac{1}{8}x+8

Then its slope is

m_1=-\frac{1}{8}

Now we have to find the slope of the second line. Using the first property,

\begin{gathered} m_1m_2=-1_{} \\ -\frac{1}{8}m_2=-1_{} \\ m_2=(-1)(-8) \\ m_2=8 \end{gathered}

Then the second line has to have a slope of 8.

The options given to us are:

\begin{gathered} x+8y=8 \\ x-8y=-56 \\ 8x+y=5 \\ y-8x=4 \end{gathered}

Then we have to determine which of these options have a slope of 8. To do that we write them in the slope-intercept form:

\begin{gathered} x+8y=8\rightarrow y=-\frac{1}{8}x+1 \\ x-8y=-56\rightarrow y=\frac{1}{8}x+7 \\ 8x+y=5\rightarrow y=-8x+5 \\ y-8x=4\rightarrow y=8x+4 \end{gathered}

Once we have the options in the right form, we note that the only one of them that has a slope of 8 is the last one.

Then the line perpendicular to the original one is

y-8x=4

8 0
1 year ago
Could I please have help I’m being timed
galina1969 [7]

Answer:

x = 8

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
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