Answer:
The length of the shorter piece = 3 ft
The length of the longer piece = 10 ft
Step-by-step explanation:
According to the question;
- Total length of the string is 13 ft
- Longer piece is 4ft longer than twice the shorter piece;
Therefore;
- Assuming the shorter piece is x ft
- Then, the longer piece will be (2x + 4) ft
Thus;
Longer piece + shorter piece = 13 ft
x ft + (2x + 4) ft = 13 ft
3x + 4 = 13
3x = 9
x = 3 ft and
2x + 4 = 10 ft
Therefore;
The length of the shorter piece = 3 ft
The length of the longer piece = 10 ft
Answer:
B. 40/61
Step-by-step explanation:
There are 40 spots out of the 61 in the lot with numbers greater than or equal to 22. The probability of choosing one of them at random is 40/61.
_____
<em>About the answer choices</em>
61/21 and 61/40 are both numbers that are greater than 1. A probability is always a number between 0 and 1 (inclusive), so these answers can be rejected immediately.
There are 21 spots with numbers less than 22, so 21/61 is the probability of choosing one of those. That is not what the question is asking for.
Answer:
y=3
Step-by-step explanation:
It is a plateau unaffected by x, thus there is no x.
Answer:
--- Mean absolute deviation of educational documentary
--- Mean absolute deviation of prime time drama
Step-by-step explanation:
Given

See attachment for table
Required
Determine the mean absolute deviation of each
Mean absolute deviation m(x) is calculated as:

For Educational Documentary
First, calculate the mean

So:



The mean absolute deviation is then calculated as:






For Prime time Drama
First, calculate the mean

So:



The mean absolute deviation is then calculated as:






The deepest point of the lake is -922, so to get to the surface of the lake you would need to add 922 feet.
The deepest point of the lake is 11,542 feet above sea level.
To find the surface of the lake add 922 to 11,542.
11542 + 922 = 12,464 feet