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Anni [7]
3 years ago
5

Find 7.4 times the difference between 87 and 24.

Mathematics
1 answer:
wlad13 [49]3 years ago
6 0
Step 1
<span>Find the difference between 87 and 24
(87-24)=63

step 2
</span><span>Find 7.4 times the difference between 87 and 24
7.4*63=466.2

the answer is
466.2</span>
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x = 20

Step-by-step explanation:

The two indicated angles are vertical angles and vertical angles are equal

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What percent of 500 is 255?
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26. Students who take a statistics course are given a pre-test on the concepts and skills for the first chapter of a statistics
hjlf

The test statistic value lies to the right of the critical value. So we have sufficient evidence to reject the null hypothesis.

<h3>What are null hypotheses and alternative hypotheses?</h3>

In null hypotheses, there is no relationship between the two phenomenons under the assumption or it is not associated with the group. And in alternative hypotheses, there is a relationship between the two chosen unknowns.

Students who take a statistics course are given a pre-test on the concepts and skills for the first chapter of a statistics course.

Then they are given a post-test once the professor has concluded lecturing on the material.

Pre-test and post-test scores for 4 students in an elementary statistics class are given below.

Then we have

\mu _d = \mu _{post} - \mu _{pre}

Then the null hypotheses and alternative hypotheses will be

H₀: \mu _d = 0

Hₐ: \mu _d > 0

Then the test statistic will be

\rm \overline{x} _d = \dfrac{\Sigma x_d}{n} = \dfrac{15+12+10+1}{4}\\\\\overline{x} _d = 9.5

Then

\rm S_d = 6.02

The test statistic value is given by

\rm t = \dfrac{\overline{x} _d }{\dfrac{S_d}{\sqrtn}} \\\\t = \dfrac{9.5}{\dfrac{6.02}{\sqrt4}}\\\\t = 3.16

Since this is a right-tailed test, so the critical value is given by

\rm t_{n-1}(\alpha ) = t_3 (0.05) = 2.353

Since the test statistic value lies to the right of the critical value. So we have sufficient evidence to reject the null hypothesis.

Hence, we can conclude that \mu _d > 0 that is test scores have improved.

More about the null hypotheses and alternative hypotheses link is given below.

brainly.com/question/9504281

#SPJ1

7 0
2 years ago
The manager of a supermarket wants to obtain information about the proportion of customers who dislike a new policy on cashing c
alex41 [277]

Answer:

n = 61 costumers

Step-by-step explanation:

For calculating the number of costumers he should sample we use the next equation:

n = \frac{z_{1-\alpha/2}^{2}p(1-p)}{E^{2} }

                          Where E is the error that we are prepared to accept, in this  case E = 0.15

How we don't know the value of p, we can estimate it like p = 0.5

∝ = 1-0.98 = 0.02

1-∝/2 = 0.99

z_{0.99} = 2.33

n = \frac{(2.33^{2})(0.5)(1-0.5)}{0.15^{2} }

n = 60.32 costumers

n ≈ 61 costumers

4 0
3 years ago
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