Answer:
23
Step-by-step explanation:
7 - 5p + 3q
p = 1, q = 7
Substitute in the values of "p" and "q", and solve;
7 - 5(1) + 3(7)
7 - 5 + 21
2 + 21
23
Answer:
My total savings was = $58.33
Step-by-step explanation:
Given:
12% of my savings was = $7.00
To find my total savings.
Solution:
Let the total savings in dollars be = 
12% of the total savings will be = 
12% of my savings was = $7.00
So, we have:


Solving for
to get my total savings.
Dividing both sides by 0.12

∴ 
Thus, my total savings was = $58.33
Using the z-distribution, the p-value would be given as follows:
b) 0.0086.
<h3>What are the hypothesis tested?</h3>
At the null hypothesis we test if the means are equal, hence:

At the alternative hypothesis, it is tested if they are different, hence:

<h3>What are the mean and the standard error for the distribution of differences?</h3>
For each sample, they are given as follows:
Hence, for the distribution of differences, they are given by:
.
<h3>What is the test statistic?</h3>
The test statistic is given by:

In which
is the value tested at the null hypothesis.
Hence:


z = -2.63.
Using a z-distribution calculator, for a two-tailed test, with z = -2.63, the p-value is of 0.0086.
Hence option B is correct.
More can be learned about the z-distribution at brainly.com/question/13873630
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Answer:
<h2>x = -4</h2>
Step-by-step explanation:
<em>Look a the picture</em>.
Draw the horizontal line <em>y = 2</em>.
Common point: (-4, 2).
Conclusion: f(x) = 2 → x = -4