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WITCHER [35]
3 years ago
11

Use p = 2 and p = 8 to determine if the two expressions are equivalent. 4(2 + p) 14 + p Complete the statements.

Mathematics
1 answer:
Maru [420]3 years ago
4 0

Answer:

The expressions are not equivalent.

Step-by-step explanation:

Here we have two expressions:

4*(2 + p)

14 + p

We want to evaluate these two expressions in two different values of p to check if the expressions are equivalent or not.

First, we evaluate both of them in p = 2, this is just replace p by 2 in each expression and then solve it.

4*(2 + 2) = 4*4 = 16

14 + 2 = 16

In this case, we can see that both expressions yield the same number, so we could think that the expressions are equivalent, now let's try with other value of p.

Now let's do it with p = 8

4*(2 + 8) = 4*10 = 40

14 + 8 = 22

Now we can see that the results are different, then we can conclude that the expressions are not equivalent.

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Answer:

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3 years ago
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g A random sample of 100 students was taken. Eighty-five of the student in the sample experienced anxiety during the exam. We ar
BaLLatris [955]

Answer:

The test statistic is z = 1.25

Step-by-step explanation:

We are interested in determining whether or not the proportion of the student who experience anxiety during the exam is significantly more than 80%.

At the null hypothesis, we test if the proportion is 80%, that is:

H_0: p = 0.8

At the alternate hypothesis, we test if the proportion is more than 80%, that is:

H_a: p > 0.8

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.

80% is tested at the null hypothesis:

This means that \mu = 0.8, \sigma = \sqrt{0.2*0.8} = 0.4

A random sample of 100 students was taken. Eighty-five of the student in the sample experienced anxiety during the exam.

This means that n = 100, X = \frac{85}{100} = 0.85

The test statistic is

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

z = \frac{0.85 - 0.8}{\frac{0.4}{\sqrt{10}}}

z = 1.25

The test statistic is z = 1.25

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3 years ago
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valentinak56 [21]
Radius= 33
Diameter = 66
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3 years ago
PLEASE HELP !!!!!!! For what value of x is line m parallel to line n? Enter your answer in the box. x = Line m is parallel to li
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Answer:

x=10

Step-by-step explanation:

we know that

When two lines are crossed by another line (transversal), the angles in matching corners are called Corresponding Angles.

When the line are parallel the corresponding angles are equal in measurement.

so

In this problem

(8x+50)\°=130\° -----> by corresponding angles

see the attached figure to better understand the problem

Solve for x

Subtract 50 both sides

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Divide by 8 both sides

x=80/8

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3 years ago
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Answer:

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Step-by-step explanation:

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