C= 2πr, and 2r = D (diameter). So, you can also use this equation: C =D<span>π
Since we know the diameter, and we know the value of </span><span>π, we can easily calculate the value of circumference.
C = D</span><span>π
C = 3.21</span><span>π
</span><span>This means that the correct answer is B. 3.21 pi</span>
Using the z-distribution, the test statistic is:
c) -2.63.
<h3>What are the hypothesis tested?</h3>
At the null hypothesis we test if the means are equal, equivalent to a subtraction of 0, hence:

At the alternative hypothesis, we test 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:
.
.
For the distribution of differences, it is 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.
More can be learned about the z-distribution at brainly.com/question/13873630
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Answer:

Step-by-step explanation:
We can tell right away, that the line has a positive slope, since it goes upwards and to the right. To find the slope exactly, we will use rise/run. We will count the units from the first given point until we reach the next point.
So we can tell that the slope is 3/1 or just 3.
Also, since the line crosses the y-axis at -4, this will be the y-intercept.
Next, since the line is dotted, we know that the inequality sign will either be the "greater than" sign, or the "lesser than" sign. In this case, since the shaded area is below the line, we will use the "lesser than" sign.
So all together, we have y < 3x - 4.
Hope this helps you :)
Answer:
-20d^3 + 55d + 35.
Step-by-step explanation:
-4d(5d^2 - 12) + 7(d + 5)
= -20d^3 + 48d + 7d + 35
= -20d^3 + 55d + 35.