Answer:
1. Linear
2. Not Linear
3. Linear
4. Linear
Step-by-step explanation:
<u>Function 1</u>
Linear, follow a sequence of 4, 3
<u>Function 2</u>
Not Linear, does not follow a sequence
<u>Function 3</u>
Linear, follow a sequence of 1, 0
<u>Function 4</u>
Linear, follow a sequence of 3, -1
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:
k = 324
Step-by-step explanation:
Y varies inversely as x
Let k be the constant of variation
Y = k/ x
Y= 36 and x= 9
Substitute the value of Y and x
36 = k/9
Make k the subject of the formula
k= 36*9
k =324
A. 15-35=-20
b. -2+7=5
c. -10+14=4
d. 60-100=-40