Answer:
Step-by-step explanation:
- The length of the segment JM is 25 units.
- The segment JL is between 0 and 12, so is 12 units.
- The segment KL is between 5 and 12, so is 7 units.
<u>The probabilities for each point:</u>
- P(point on JL) = 12/25
- P(point not on KL) = 1 - 7/25 = 18/25
<u>Required probability:</u>
- P = 12/25*18/25 = 216/625
Correct choice is D
Answer:
semiannually = $1609.77
monthly = $1128.71
Step-by-step explanation:
Answer:
3053.63
Step-by-step explanation:
Use the equation for sphere volume: 
Plug the values in and get 
≈ 3053.63
Note: exact value of pi used.
Answer:
Step-by-step explanation:
The equation of a straight line can be represented in the slope intercept form as
y = mx + c
Where
m represents the slope of the line
c represents the y intercept
The equation of the given line is
2x + 4y = 20
4y = - 2x + 20
Dividing through by 4, it becomes
y = - x/2 + 5
Comparing with the slope intercept form, slope = - 1/2
If two lines are parallel, it means that they have the same slope. Therefore, the slope of the line passing through (- 6, 3) is - 1/2
To determine the y intercept, we would substitute m = - 1/2, x = - 6 and y = 3 into y = mx + c. It becomes
3 = - 1/2 × - 6 + c
3 = 3 + c
c = 3 - 3 = 0
The equation becomes
y = - x/2
