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Mamont248 [21]
3 years ago
9

Which of the following statements about Triangle ABC are correct?

Mathematics
1 answer:
irina [24]3 years ago
7 0

Answer:

A

Step-by-step explanation:

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In 2015 as part of the General Social Survey, 1289 randomly selected American adults responded to this question:
Radda [10]

Answer:

B (0.312, 0.364)

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence interval 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}

For this problem, we have that:

1289 randomly selected American adults responded to this question. This means that n = 1289.

Of the respondents, 436 replied that America is doing about the right amount. This means that \pi = \frac{436}{1289} = 0.3382.

Determine a 95% confidence interval for the proportion of all the registered voters who will vote for the Republican Party. ​

So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so z = 1.96.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.3382 - 1.96\sqrt{\frac{0.3382*0.6618}{1289}} = 0.312

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.3382 + 1.96\sqrt{\frac{0.3382*0.6618}{1289}} = 0.364

The 95% confidence interval is:

B (0.312, 0.364)

5 0
2 years ago
Triangle ABC has side lengths:
Nat2105 [25]
ABC and HJK are congruent and the corresponding sides and angles are equal. Side HJ is congruent with side AB so HJ is also 3.5cm in length.
8 0
3 years ago
Read 2 more answers
What 2+2 x10+2X2+10=
erastova [34]

Answer:

36

Step-by-step explanation:

Use PEMDAS:

2*10 is 20

2*2 is 4

So the equation is now

2+20+4+10=

Now add:

36

Thus the solution is 36

Hope this helps!

4 0
2 years ago
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Antwan determines the distance between the points –7 and 2 on a numberline. Maggie determines the difference between the numbers
Orlov [11]

Answer:

Their solutions are related because they both are |9| (the absolute value of 9)

Step-by-step explanation:

5 0
3 years ago
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Whats $4.23 divided by 50%
Bezzdna [24]
Here you go 4.32/ 0.50=8.64
3 0
3 years ago
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