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2 years ago

When y=5y=5, 12+4y=12+4y

Mathematics

1 answer:

adoni [48]2 years ago

5 0

12 + 4(5) = 12 + 4(5)

12 + 20 = 12 + 20

32 = 32

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The sum of the angle measures of a triangle is 180°. Find the value of x. Then find the angle measures of the triangle.

MAXImum [283]

Answer:

x = 43
43°, 51°, 86°

Step-by-step explanation:

The sum of the angles is ...

x° + (x +8)° + 2x° = 180°

4x +8 = 180 . . . . . . . . . . . collect terms, divide by °

x +2 = 45 . . . . . . . . . . divide by 4

x = 43 . . . . . . . . . . subtract 2

x +8 = 51

2x = 86

The angles are 43°, 51°, 86°.

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1 year ago

Select the correct answer,

ivanzaharov [21]

Answer:

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Step-by-step explanation:

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7 0

2 years ago

you want to create a 99 confidence interval with a margin of error of 25 assuming that the population standard deviation is equa

Ahat [919]

Answer:

The minimum sample size is 239.

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:

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

Now, we have to find z in the Z-table as such z has a p-value of $1 - \alpha$ .

That is z with a pvalue of $1 - 0.005 = 0.995$ , so Z = 2.575.

Now, find the margin of error M as such

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

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

Population standard deviation is equal to 1.5

This means that $\sigma = 1.5$

Margin of error of 0.25

This means that $M = 0.25$

What's the minimum size of the sample?

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

$0.25 = 2.575\frac{1.5}{\sqrt{n}}$

$0.25\sqrt{n} = 2.575*1.5$

$\sqrt{n} = \frac{2.575*1.5}{0.25}$

$(\sqrt{n})^2 = (\frac{2.575*1.5}{0.25})^2$

$n = 238.7$

Rounding up:

The minimum sample size is 239.

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3 years ago

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Dmitry_Shevchenko [17]

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2 years ago

Which of the following functions represent exponential decay?

Nuetrik [128]

An exponential decay function goes down to the right, like in the picture attached.

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2 years ago