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zavuch27 [327]
3 years ago
7

(-2x)^4 Simpify the number

Mathematics
1 answer:
Ivanshal [37]3 years ago
8 0

Answer:

d

Step-by-step explanation:

i like ya cut g

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6.1 Practice Assignment<br> Find the measure of angle 1?<br> pls help
Svetlanka [38]

Answer:

79 degrees

Step-by-step explanation:

First, you want to find the interor angles.

Since there are 180 degrees in a triangle...180-(27+52)=101 degrees

And the bottom line is a straight line so it's equal to 180 degrees as well.

180-101=79 degrees

7 0
3 years ago
What is 3/4 doubled? Is it 6/8 or 1 2/4?
Amanda [17]

Answer:

1 2/4

Step-by-step explanation:

3/4 doubled is 2(\frac{3}{4} )=\frac{3}{2}

Now, \frac{6}{8} =\frac{3}{4} on simplification.

1 \frac{2}{4} =\frac{6}{4} =\frac{3}{2}

Therefore,

3/4 doubled is 1 2/4

6 0
3 years ago
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
One lap around a parking lot is 3/10 mile.this represents 15% of the total distance Gregory ran.what is the total distance in mi
sattari [20]
Given:

One lap around a parking lot = 3/10 mile
3/10 mile is 15% of the total distance Gregory ran.

To determine the total distance (in mile) that Gregory ran, we refer to the given percentage:

3/10 mile / 0.15 = 2 miles

The total distance that Gregory ran is 2 miles. <span />
4 0
3 years ago
Find the number b such that the line y = b divides the region bounded by the curves y = 25x2 and y = 1 into two regions with equ
Dennis_Churaev [7]

Answer:

y=1/∛4 divides the area in half

Step-by-step explanation:

since the minimum value of x² is 0 (for x=0 ) and for y=1

1 = 25*x² → x= ±√(1/25) = ±1/5

then the total area between y=1  and y = 25*x²  is bounded to  x=±1/5 and y=0 . Since there is a direct relationship between x and y , we can find the value of x=a that divides the region in 2 of the same area. thus

Area below x=C = Area above x=C

Area below x=C = Total area -  Area below x=C

2*Area below x=C = Total area

Area below x=C = Total area /2

∫ 25*x² dx from x=c to x=-c =  1/2 ∫ 25*x² dx from x=1/5  to x=-1/5

25*[c³/3 - (-c)³/3] = 25/2 * [(1/5)³/3 - (-1/5)³/3]

2*c³/3 = (1/5)³/3

c = 1/(5*∛2)

thus

y=25* x²  = 25*[1/(5*∛2)]² = 1/∛4

thus the line y=1/∛4 divides the area in half

4 0
3 years ago
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