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ololo11 [35]
3 years ago
13

Which of the following is an even function? A.f(x) =(x-1)^2 b. F(x)=8x c.f(x) =x^2-x d.f(x)=7

Mathematics
1 answer:
pentagon [3]3 years ago
4 0

Answer:

Step-by-step explanation:

A.f(x) =(x-1)^2  is even because of that even exponent, 2.

b. F(x)=8x  is odd because x has the exponent 1.

c.f(x) =x^2-x   is neither even nor odd

d.f(x)=7    is even because the exponent is even:  7^0

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Answer:

AC and DF

Step-by-step explanation:

We can see that the triangles have a scale factor of 3.

1 * 3 = 3 (AB and DE)

2 * 3 = 6 (BC and EF)

However...

2 * 3 = 6 not 7 (AC and DF)

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Some friends played a board game. During the game, one unlucky player had to move back 8 spaces
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What is the value of x?<br><br><br> 68<br><br> 32<br><br> 54<br><br> 36
Dovator [93]

Answer:

A) 68

Step-by-step explanation:

Use the <em>Exterior Angle Theorem</em>.

The Exterior Angle theorem states that the exterior angle's measurement will be equal that of the two opposite interior angles.

Set the equation. Note that you are given the exterior angle and one interior angle:

58 + x = 126

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Subtract 58 from both sides of the equation:

x + 58 (-58) = 126 (-58)

x = 126 - 58

x = 68

A) 68 is your answer.

~

4 0
2 years ago
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8 0
3 years ago
The p-value for a one-sided test of the population proportion is 0.0513. Which of
uysha [10]

Using the equation of the test statistic, it is found that with an increased sample size, the test statistic would decrease and the p-value would increase.

<h3>How to find the p-value of a test?</h3>

It depends on the test statistic z, as follows.

  • For a left-tailed test, it is the area under the normal curve to the left of z, which is the <u>p-value of z</u>.
  • For a right-tailed test, it is the area under the normal curve to the right of z, which is <u>1 subtracted by the p-value of z</u>.
  • For a two-tailed test, it is the area under the normal curve to the left of -z combined with the area to the right of z, hence it is <u>2 multiplied by 1 subtracted by the p-value of z</u>.

In all cases, a higher test statistic leads to a lower p-value, and vice-versa.

<h3>What is the equation for the test statistic?</h3>

The equation is given by:

t = \frac{\overline{X} - \mu}{\frac{s}{\sqrt{n}}}

The parameters are:

  • \overline{X} is the sample mean.
  • \mu is the tested value.
  • s is the standard deviation.
  • n is the sample size.

From this, it is taken that if the sample size was increased with all other parameters remaining the same, the test statistic would decrease,  and the p-value would increase.

You can learn more about p-values at brainly.com/question/26454209

3 0
2 years ago
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