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2 years ago

Show work for all problems!

Mathematics

1 answer:

shepuryov [24]2 years ago

7 0

Answer:

Step-by-step explanation:

Answer:

See below

Step-by-step explanation:

One

The measure of all the exterior angles of a convex n-gon always add up to 360 degrees.

So the exterior angles of a triangle = 360 degrees

The exterior angles of a 4 sided figure = 360 degrees

The exterior angles of a 12 sided figure = 360 degrees.

=====

Two

Same answer as One. All polygons have this property as long as they are convex.

======

Three

The relationship between the number of sides and the actual size of the exterior angle is

Sides = 360/angle size

angle size = 24

Sides = 360 / 24

Sides = 15 sides

Four

Be careful. This is an interior angle question

Given: sum of interior angles = 7380

Formula: Total of interior angles = (n - 2)*180

Solution

(n - 2) * 180 = 7380 Divide both sides by 180

(n - 2) * 180/180 = 7380/180 Do the division

n - 2 = 41 Add 2 to both sides

n - 2 + 2 = 41 + 2 Collect like terms

n= 43

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mina [271]

Answer:

The time it would take them to fill 750 gallons

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Step-by-step explanation:

Step 1 :

We calculate the rate at which the hoses fill for Andre and His neighbor

For Andre

The garden hose at Andre's house can fill a 5-gallon bucket in 2 minutes.

The rate is calculated as:

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Step 2

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2 years ago

1) If the alpha level is changed from α = .05 to α = .01, what happens to boundaries for the critical region?

Alexxandr [17]

Answer:

1) a. Move farther into the tails

2) a. Decreases

Step-by-step explanation:

Hello!

Let's say for example that you are making a confidence interval for the mean, using the Z-distribution:

X[bar] ± $Z_{1-\alpha /2}$ * $\frac{Sigma}{\sqrt{n} }$

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95% $Z_{0.975}= 1.965$

99% $Z_{0.995}= 2.586$

Semiamplitude of the interval is

d= $Z_{1-\alpha /2}$ * $\frac{Sigma}{\sqrt{n} }$

Then if you increase the confidence level, the value of Z increases and so does the semiamplitude and amplitude of the interval:

↑d= ↑ $Z_{1-\alpha /2}$ * $\frac{Sigma}{\sqrt{n} }$

They have a direct relationship.

So if you change α: 0.05 to α: 0.01, then the confidence level 1-α increases from 0.95 to 0.99, and the boundaries move farther into the tails.

The significance level of a hypothesis test is the probability of committing a Type I error.

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3 years ago

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