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2 years ago

The diagram shows a regular hexagon and a regular pentagon.

Mathematics

1 answer:

drek231 [11]2 years ago

6 0

Since a regular polygon has equal interior angles, then the measure of the angle marked x is: 132°.

<h3>What is a Regular Polygon?</h3>

A regular polygon is any n-sided polygon that has equal interior angles and equal sides.

Thus:

Each angle of a regular hexagon = 120°
Each angle of a regular pentagon = 108°

Therefore:

x = 360 - 120 - 108

x = 132°

Thus, since a regular polygon has equal interior angles, then the measure of the angle marked x is: 132°.

Learn more about regular polygon on:

brainly.com/question/1592456

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A mortgage firm estimates the true mean current debt of local homeowners, using the current outstanding balance of a random samp

Nat2105 [25]

Answer:

b. Using the balances of 50 homeowners rather than 35, because using more data gives a smaller margin of error

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

95% confidence interval

$\alpha = \frac{1-0.95}{2} = 0.025$

Now, we have to find z in the Ztable as such z has a pvalue of $1-\alpha$ .

So it is z with a pvalue of $1-0.025 = 0.975$ , so $z = 1.96$

99% confidence interval

$\alpha = \frac{1-0.99}{2} = 0.005$

Now, we have to find z in the Ztable as such z has a pvalue of $1-\alpha$ .

So it is z with a pvalue of $1-0.005 = 0.995$ , so $z = 2.575$

Now, find we find the width of our confidence interval M as such

$M = z*\frac{\sigma}{\sqrt{n}}$

So, as n increases, the width of the confidence interval decreases.

From the examples above, we can also conclude that as the confidence level increases, so does the value of z, which means that the width of the interval increases.

Which of the following would correctly produce a confidence interval with a smaller margin of error than this 95% confidence interval?

For a smaller margin of error, we need to have a bigger sample size.

So the correct answer is:

b. Using the balances of 50 homeowners rather than 35, because using more data gives a smaller margin of error

5 0

3 years ago

1. A website sells sweaters. The amount of sales p(c) varies directly with the number of customers c. Ten customers bought a tot

11111nata11111 [884]

Number 1. is D.
Number 2. is A.
Let me know if they are correct.

7 0

3 years ago

Read 2 more answers

Use the information given to enter an equation in standard form.

Kruka [31]

Answer:

y=1.6x-8.4

Step-by-step explanation:

First, find the slope which is y 2 minus y 1 divided by x 2 minus x 1

Slope= 16/10 or 1.6

So now it is y=16/10x + b or y=1.6x+b

Now pick a random coordinate and substitute to find y intercept we can use the first one (29,38)

38=1.6(29)+b

y intercept = -8.4

Equation is y=1.6x - 8.4 or y=16/10x - 8.4

Hoped this helped :)

3 0

3 years ago

Simplify the expression below (example x2 = x^2<br> (2a^2)(14a^5)

lutik1710 [3]

Answer:

28a^7

Step-by-step explanation:

Rewrite using commutative property of multiplication 2•14 (a^2a^5)

Multiply the a^2 and a^5

2•14a^7

Multiply the 2 and 14

28a^7

8 0

4 years ago

Find the domain of the function.

SpyIntel [72]

Domain means the values that can be used as a function's input. Since all real values of x will yield a real value of f(x), the domain is (-infinity, infinity).

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3 years ago