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2 years ago

What is the answer to this question

Mathematics

2 answers:

Schach [20]2 years ago

8 0

Vertical angles are equal

4x = 45 + 15
4x = 60
x = 60/4
x = 15

mojhsa [17]2 years ago

3 0

Firstly,we need to find the sum of opposite angle of 4x,which is 45°+15°=60°

since the right opposite angles have a same degree,the equation would be:

4x=60°
x=60°/4
x=15°

Thus,the answer is 15°

Hope it helps!

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In order to solve this problem, use sign conventions. Since deposit indicates cash inflow, that would take the positive sign. On the other hand, withdrawals take negative sign. We add these integers to the original balance. he solution is as follows:

$100 + $25 + $50 + $15 + (⁻$40) =<em> $150</em>

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2 years ago

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2 years ago

-5x+2y=6<br> -x+2y=-2 <br> what is the solution to the system of equations?

dybincka [34]

Step-by-step explanation:

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2 years ago

Out of 100 people sampled, 42 had kids. Based on this, construct a 99% confidence interval for the true population proportion of

maksim [4K]

Answer:

The 99% confidence interval for the true population proportion of people with kids is (0.293, 0.547).

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 z-score that has a p-value of $1 - \frac{\alpha}{2}$ .

Out of 100 people sampled, 42 had kids.

This means that $n = 100, \pi = \frac{42}{100} = 0.42$

99% confidence level

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

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.42 - 2.575\sqrt{\frac{0.42*0.58}{100}} = 0.293$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.42 + 2.575\sqrt{\frac{0.42*0.58}{100}} = 0.547$

The 99% confidence interval for the true population proportion of people with kids is (0.293, 0.547).

7 0

2 years ago

A rectangular park had a perimeter of 18 miles. It is 7 miles wide. What is the area of the park?

4vir4ik [10]

Perimeter = 18 miles
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a = ?
b = 7

18 = 2a + 2*7
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a = 2

Area = a * b
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2 years ago