Answer:
C. (36337.32, 48968.68)
Step-by-step explanation:
We have that to find our level, that is the subtraction of 1 by the confidence interval divided by 2. So:
Now, we have to find z in the Ztable as such z has a pvalue of .
So it is z with a pvalue of , so
Now, find M as such
In which is the standard deviation of the population and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 42653 - 6315.68 = 36337.32.
The upper end of the interval is the sample mean added to M. So it is 42653 + 6315.68 = 48968.68.
So the correct answer is:
C. (36337.32, 48968.68)
Answer:
314.2
Step-by-step explanation:
Circumference of a circle is π
so 3.142 × =314.2
Answer:
1. Ratio 9-342 Unit Rate 38
2. Ratio 38-152 Unit Rate 4
3. Ratio 2-40 Unit Rate 20
4. Ratio 84-6 Unit Rate 14
5. Ratio 5-30 Unit Rate 6
6. Ratio 5-50 Unit Rate 10
Step-by-step explanation:
Ap ex
Answer:
<em>Explanation below</em>
Step-by-step explanation:
<u>Vertical Shift of Functions</u>
Given a linear function
y = mx + b
The value of b is called the y-intercept or the y-coordinate where the line crosses the y-axis. If the function is shifted up by a value of k, then the new function is:
y' = mx + b + k
Similarily to shift the function down, the value of k is subtracted:
y''= mx + b - k
We are given the function:
1) To shift up the line, we select a value of k=10. The new shifted-up function is:
2) To shift down the line, we select a value of k=5. The new shifted-down function is:
3) To shift to the origin, we must select a specific value of k that cancels the y-intercept. We must shift down by k=2:
This new function has the y-intercept equal to 0
If a segment is horizontal, its length is the difference between its x coordinates. If the result is negative, you need to consider the absolute value (or just pick the coordinates in the correct order, i.e. the bigger minus the smaller).
So, we have