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Alchen [17]
3 years ago
6

Define the measure of an angle.

Mathematics
1 answer:
amid [387]3 years ago
3 0

Answer:

Angle measure can be defined as the measure of the angle formed by the two rays or arms at a common vertex.

Step-by-step explanation:

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If F(x)=4x-1 and g(x)=x^2+7, what is g(f(x))
VashaNatasha [74]
Answer

g(f(x)) = = 16 {x}^{2} - 8x + 8

step by step Explanation

The functions given are

f (x)= 4x- 1

g(x)= {x}^{2} + 7

We want to find:

g(f (x))= g( 4x- 1)

This implies that

g(f (x))= ( (4x- 1)^{2} + 7)

Let us now simplify

( {a - b)}^{2} = {a}^{2} -2ab + {b}^{2}

This implies that

( (4x- 1)^{2} + 7) =( {(4x)}^{2} - 2(4x) \times 1 + 1

Combine the terms to get,

= 16 {x}^{2} - 8x + 1 + 7

= 16 {x}^{2} - 8x + 8
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3 years ago
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A square has a side length of 4 cm. What is the length of the diagonal of the square? What is the length from the corner to the
masya89 [10]
The length of the diagonal of the square is the square root of 32 which equals approximately 5.6569.
The length from the corner to the center of the square is half of the diagonal which is 2.8284. I hope this helps!
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3 years ago
The area of a rectangle is 440 square inches. The length of the rectangle is 29 inches more than its width. What is the length o
Andreyy89
The length of regtangle is 40 inches
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4(x – 3) <br> need help answering this question
AVprozaik [17]

Answer:

4x-12

Step-by-step explanation:

4 x x is 4x and 4x-3 is -12

3 0
3 years ago
A recent study at UGA (March 5, 2008) suggests that students with cell phones may take more risks than students that do not have
Ira Lisetskai [31]

Answer:

(a) -2.8

b) (1) Reject H0: p = 0.50 in favor of HA: p < 0.50; there is sufficient evidence to conclude that less than half of all UGA female students who, if they had a cell phone, would be willing to walk somewhere after dark that they would normally not go.

Step-by-step explanation:

The test statistic is:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

In which X is the sample mean, \mu is the value tested at the null hypothesis, \sigma is the standard deviation and n is the size of the sample.

H0: p = 0.50

This means that:

\mu = 0.5, \sigma = \sqrt{0.5*0.5} = 0.5

In a random sample of 305 UGA female students, 128 responded that, if they had a cell phone, they would be willing to walk somewhere after dark that they would normally not go.

This means that n = 305, X = \frac{128}{305} = 0.4197

a) Value of the test statistic:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

z = \frac{0.4197 - 0.5}{\frac{0.5}{\sqrt{305}}}

z = -2.8

Pvalue:

We are testing the hypothesis that the proportion is less than 0.5, which means that the pvalue of the test is the pvalue of z = -2.81.

Looking at the z-table, z = -2.8 has a pvalue of 0.0026

(b) What is the correct conclusion for this hypothesis test at the 0.05 level of significance?

0.0026 < 0.05, which means that we reject the null hypothesis, that the proportion is 0.5, and accept the alternate hypothesis, that the proportion is less than 0.5, option (1).

6 0
3 years ago
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