62.4 minutes is the answer
Answer:
x ≤ -1
Step-by-step explanation:
Answer:
D, degrees
Step-by-step explanation:
Complementary angles are angles that add up to 90 degrees. Since angle A and angle B are complementary, they add up to 90. Since the value of angle A is y degrees, we can substitute y into the equation to get
To get the measure of angle B, we must isolate B.
To isolate B, we have to remove every term from its side.
The only term on the side that B is on other than B is y. To remove y from the left side, we must subtract y from both sides. Doing this will result in the equation:
The only answer option that meets this criteria is D.
Answer:
The total number of people in the room is 14
Step-by-step explanation:
The ratio of the number of women to the number of men to the number of children in a room is 5:2:7
So, there are
(1) The total number of women and children in the room is 12.
5 women and 7 children=12
(2) There are fewer than 4 men in the room.
There are 2 men , that´s fewer than 4
So, the total number of people is 5+2+7= 14
Answer:
The 95% confidence interval for the average heights of the population is between 1.7108m and 1.7892m.
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 standard deviation is the square root of the variance. So
Then
The lower end of the interval is the mean subtracted by M. So it is 1.75 - 0.0392 = 1.7108m
The upper end of the interval is the mean added to M. So it is 1.75 + 0.0392 = 1.7892m
The 95% confidence interval for the average heights of the population is between 1.7108m and 1.7892m.