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Bond [772]
3 years ago
15

Which trapezoid is congruent to the trapezoid below?

Mathematics
1 answer:
Leviafan [203]3 years ago
7 0
The third one! Hope this helps
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A campaign strategist wants to determine whether demographic shifts have caused a drop in allegiance to the Uniformian Party in
Bas_tet [7]

Answer:

d. There is not enough evidence to support the hypothesis that the proportion of Uniformian voters has decreased.

Step-by-step explanation:

This is a hypothesis test for a proportion.

The claim is that there is a significant drop in allegiance to the Uniformian Party in Bowie County.

Then, the null and alternative hypothesis are:

H_0: \pi=0.62\\\\H_a:\pi

The significance level is 0.05.

The sample has a size n=196.

The sample proportion is p=0.57.

The standard error of the proportion is:

\sigma_p=\sqrt{\dfrac{\pi(1-\pi)}{n}}=\sqrt{\dfrac{0.62*0.38}{196}}\\\\\\ \sigma_p=\sqrt{0.001202}=0.035

Then, we can calculate the z-statistic as:

z=\dfrac{p-\pi+0.5/n}{\sigma_p}=\dfrac{0.57-0.62+0.5/196}{0.035}=\dfrac{-0.047}{0.035}=-1.369

This test is a left-tailed test, so the P-value for this test is calculated as:

\text{P-value}=P(z

As the P-value (0.0855) is greater than the significance level (0.05), the effect is  not significant.

The null hypothesis failed to be rejected.

There is not enough evidence to support the claim that there is a significant drop in allegiance to the Uniformian Party in Bowie County.

6 0
3 years ago
5
Nadya [2.5K]

In the given diagram, the value of AC is 24. The correct option is B. 24

<h3>Properties of rectangle </h3>

From the question, we are to determine the value of AC

From one of the properties of a rectangle, we have that

The diagonals of a rectangle are equal and bisect each other.

Then, in the given diagram

AC = DB

Thus,

3x - 6 + 3x - 6 = 2x + 2x

6x -12 = 4x

6x - 4x = 12

2x = 12

x = 12/2

x = 6

In the diagram,

AC = 3x - 6 + 3x - 6

AC = 3(6) -6 + 3(6) - 6

AC = 18 - 6 + 18 - 6

AC = 24

Hence, the value of AC is 24. The correct option is B. 24

Learn more on the Properties of a rectangle here: brainly.com/question/23008020

#SPJ1

4 0
2 years ago
If 32%=80 what does 100%=
emmasim [6.3K]
32/80 so divide that by 5 = 6.4/20 then multipy that by 100/1 so the answer is 640
3 0
3 years ago
Read 2 more answers
Please helpp (exponents)
pshichka [43]

Answer:

the answer is 27

Step-by-step explanation:

for the show your work all you have to do is write 3x3x3=27

5 0
3 years ago
The T-shirt shown normally costs $22.50. Today it is on sale for 45% off. Find the sale price
castortr0y [4]

Answer:

SP = (100-d%)/100 × MP

ans.12.36

5 0
2 years ago
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