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1 year ago

Can i have some help on both of these questions for brainlist !!!!!!!!!!!

Mathematics

1 answer:

Nezavi [6.7K]1 year ago

5 0

Answer:

B and A

Step-by-step explanation:

What I did for these problems is plug in the numbers listed for the x-value. For example, in your calculator you’d put; (1/2)^3 and that’d get you 1/8. Then, try it for 8^(2 - 3) which is also 1/8. So, (1/2)^3 = 8^(2 - 3).

The same process for the second problem. 16^(2(7/3) -3) = 4^((7/3) + 1). This should give you 101.59…

I hope this helps :)!

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A random sample of 864 births in a state included 426 boys. Construct a 95% confidence interval estimate of the proportion of bo

oksian1 [2.3K]

Using the z-distribution, it is found that the 95% confidence interval is (0.46, 0.526), and it does not provide strong evidence against that belief.

<h3>What is a confidence interval of proportions?</h3>

A confidence interval of proportions is given by:

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

In which:

$\pi$ is the sample proportion.

z is the critical value.

n is the sample size.

In this problem, we have a 95% confidence level, hence $\alpha = 0.95$ , z is the value of Z that has a p-value of $\frac{1+0.95}{2} = 0.975$ , so the critical value is z = 1.96.

We have that a random sample of 864 births in a state included 426 boys, hence the parameters are given by:

$n = 864, \pi = \frac{426}{864} = 0.493$

Then, the bounds of the interval are given by:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.493 - 1.96\sqrt{\frac{0.493(0.507)}{864}} = 0.46$

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.493 + 1.96\sqrt{\frac{0.493(0.507)}{864}} = 0.526$

The 95% confidence interval estimate of the proportion of boys in all births is (0.46, 0.526). Since the interval contains 0.506, it does not provide strong evidence against that belief.

More can be learned about the z-distribution at brainly.com/question/25890103

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2 years ago

How do u divide $1.12 & 8.2

LiRa [457]

Try using fraction, i think the ans is 28/205 ;)

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3 years ago

what is the equation of the line that passes through (3,-1) and is parallel to y=-4X + 1? give your answer in slope-intercept fo

Butoxors [25]

the answer is y=4x-11

use y+1=4x-12

move 1 to negative because move to the other side

so the answer is y=4x-11

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2 years ago

2. A local baseball stadium has a total of 2,414 seats, with 221 seats reserved for season ticket holders.

kogti [31]

2414 total seats.......221 reserved.....x = non-reserved.....y = remaining seats

y = 2414 - (x + 221)
y = 2414 - x - 221
y = 2193 - x <=====

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2 years ago

Find the missing side lengths (Use sqrt in place of a square root symbol)

Kitty [74]

Step-by-step explanation:

Because this is a right triangle and it is given that one angle is 45 than also the ather angle is 45 so this triangle has 2 equal sides.So also the ather side is 6 .

Hypotenuse can be found by pythagorean theorem

6^2+6^2=x^2

36+36=x^2

x=√72

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2 years ago