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3 years ago

Find the probability that when a couple has five children at least one of them is a boy

Mathematics

1 answer:

denis23 [38]3 years ago

4 0

Answer:

it's a 50/50 chance per child because a boy requires one X chromosome and one y chromosome

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Raise <br> n<br> to the 6th <br> power,<br> then add 5 to the result

aleksley [76]

Except there are values you want to substitute into the expression, this is what your answer looks like:

$n^{6}+5$

7 0

3 years ago

In a study of government financial aid for college students, it becomes necessary to estimate the percentage of full-time coll

ICE Princess25 [194]

Answer:

a) n = 1037.

b) n = 1026.

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 level of $1-\alpha$ , 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 $1 - \frac{\alpha}{2}$

The margin of error is:

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

99% confidence level

So $\alpha = 0.01$ , z is the value of Z that has a pvalue of $1 - \frac{0.01}{2} = 0.995$ , so $Z = 2.575$ .

(a) Assume that nothing is known about the percentage to be estimated.

We need to find n when M = 0.04.

We dont know the percentage to be estimated, so we use $\pi = 0.5$ , which is when we are going to need the largest sample size.

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

$0.04 = 2.575\sqrt{\frac{0.5*0.5}{n}}$

$0.04\sqrt{n} = 2.575*0.5$

$(\sqrt{n}) = \frac{2.575*0.5}{0.04}$

$(\sqrt{n})^{2} = (\frac{2.575*0.5}{0.04})^{2}$

$n = 1036.03$

Rounding up

n = 1037.

(b) Assume prior studies have shown that about 55% of full-time students earn bachelor's degrees in four years or less.

$\pi = 0.55$

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

$0.04 = 2.575\sqrt{\frac{0.55*0.45}{n}}$

$0.04\sqrt{n} = 2.575*\sqrt{0.55*0.45}$

$(\sqrt{n}) = \frac{2.575*\sqrt{0.55*0.45}}{0.04}$

$(\sqrt{n})^{2} = (\frac{2.575*\sqrt{0.55*0.45}}{0.04})^{2}$

$n = 1025.7$

Rounding up

n = 1026.

6 0

3 years ago

Are intersecting lines coplanar?

worty [1.4K]

yes it is always coplanar with two intersecting lines.

8 0

3 years ago

Read 2 more answers

Find the greatest common factor

Lerok [7]

Answer:

(3b + 4) is the greatest common factor

Step-by-step explanation:

$3b(2b- 3)+4(2b-3) = 0 \\ {6b}^{2} - 9b + 8b - 12 = 0 \\ {6b}^{2} - b - 12 = 0 \\ {6b}^{2} - 9b + 8b - 12 = 0 \\ 3b(2b - 3) + 4(2b - 3) = 0 \\ (2b - 3)(3b + 4) = 0$

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3 years ago

I need help plzzzz!!

MAXImum [283]

Answer:

it might be the second one not sure

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3 years ago