Step-by-step explanation:
this is one-dimensional ? everything just on one number line ?
TU = 2 - -17 = 2 + 17 = 19
TU is 19 units long (17 units on the negative side, and 2 units on the positive side of the number line).
therefore, to make TU = UV a true statement, UV has also to be 19 units long.
as U = 2,
V = U + UV = 2 + 19 = 21
Answer:
C. 5 weeks.
Step-by-step explanation:
In this question we have a random variable that is equal to the sum of two normal-distributed random variables.
If we have two random variables X and Y, both normally distributed, the sum will have this properties:

To calculate the expected weeks that the donation exceeds $120, first we can calculate the probability of S>120:

The expected weeks can be calculated as the product of the number of weeks in the year (52) and this probability:

The nearest answer is C. 5 weeks.
Full working out shown from step 1 to last.
follow it and you get 24 square feet as final answer. Good luck in other questions!!!
Answer:
2670
Step-by-step explanation:
4500/300 = 15
178*15=2670
Answer:
The volume of the composite figure is:
Step-by-step explanation:
To identify the volume of the composite figure, you can divide it in the known figures there, in this case, you can divide the figure in a cube and a pyramid with a square base. Now, we find the volume of each figure and finally add the two volumes.
<em>VOLUME OF THE CUBE.
</em>
Finding the volume of a cube is actually simple, you only must follow the next formula:
- Volume of a cube = base * height * width
So:
- Volume of a cube = 6 ft * 6 ft * 6 ft
- <u>Volume of a cube = 216 ft^3
</u>
<em>VOLUME OF THE PYRAMID.
</em>
The volume of a pyramid with a square base is:
- Volume of a pyramid = 1/3 B * h
Where:
<em>B = area of the base.
</em>
<em>h = height.
</em>
How you can remember, the area of a square is base * height, so B = 6 ft * 6 ft = 36 ft^2, now we can replace in the formula:
- Volume of a pyramid = 1/3 36 ft^2 * 8 ft
- <u>Volume of a pyramid = 96 ft^3
</u>
Finally, we add the volumes found:
- Volume of the composite figure = 216 ft^3 + 96 ft^3
- <u>Volume of the composite figure = 312 ft^3</u>