Answer:
The 99% confidence interval for the mean commute time of all commuters in Washington D.C. area is (22.35, 33.59).
Step-by-step explanation:
The (1 - <em>α</em>) % confidence interval for population mean (<em>μ</em>) is:

Here the population standard deviation (σ) is not provided. So the confidence interval would be computed using the <em>t</em>-distribution.
The (1 - <em>α</em>) % confidence interval for population mean (<em>μ</em>) using the <em>t</em>-distribution is:

Given:

*Use the <em>t</em>-table for the critical value.
Compute the 99% confidence interval as follows:

Thus, the 99% confidence interval for the mean commute time of all commuters in Washington D.C. area is (22.35, 33.59).
8.129
8.219
8.3
8.37
Always go from left to right as compare the values in the tenth, then hundredths, then thousandths place. Remember that if there is no digit, it is a 0 (after the decimal of course).
The positive coterminal angle is 213° and negative coterminal angle is -147° and -507°
<u>Explanation:</u>
Coterminal angles are two angles that are drawn in the standard position (so their initial sides are on the positive x-axis) and have the same terminal side
In other words, two angles are coterminal when the angles themselves are different, but their sides and vertices are identical.
Another way to describe coterminal angles is that they are two angles in the standard position and one angle is a multiple of 360 degrees larger or smaller than the other. That is, if angle A has a measure of M degrees, then angle B is co-terminal if it measures M +/- 360n, where n = 0, 1, 2, 3, ...
So,
When angle is 573° then the coterminal angle is
573° - 360 (1) = 213°
573° - 360(2) = -147°
573° - 360 (3) = -507°
Therefore, positive coterminal angle is 213° and negative coterminal angle is -147° and -507°
Answer: 1, -4
Step-by-step explanation:
Move all the terms to the left side and set equal to zero. Then set each factor equal to zero. X= 1,-4
Step-by-step explanation:
First u hv to understand what is asked. Here, u have to find the intersecting numbers from the set A and not included in set B. Thus, u know except foe 2,4,6,8, othher numbers are not in set B. Set A is included 1,2,3,4,5. In this way u can simply find AnB' as AnB'={1,3,5}