Let D be the endpoint of the angle bisector opposite A on lying on side BC. The angle bisector theorem states that the ratio of BD to CD is equal to the ratio of AB to AC. In this case, you have
(This is the same equation that you have, it's just rearranged.)
Multiply both sides by
and 15.
Now you can solve for
.
Answer:
a) The graph of the probability density function for flight time is shown below.
b) 1/2
c) 0
d) 130 minutes
Step-by-step explanation:
Let's deal with the flight times in minutes instead of hours, and let T be the random variable that represents the flight time. T is uniformly distributed between 120 minutes and 140 minutes. The probability density function for T is given by
for t in [120, 140]
a) The graph of the probability density function for flight time is shown below.
Delta Airlines quotes a flight time of 125 minutes for its flights from Cincinnati to Tampa.
b) The probability that the flight will be no more than 5 minutes late is given by
c) The probability that the flight will be more than 10 minutes late is given by
because the probability density function is zero for t outside of [120, 140]
d) The expected flight time is given by 
minutes
Answer:
Water - 62.5 pounds per cubic foot
18.25 cubic feet would weigh 18.25 * 62.5 =
1,140.625 pounds.
Step-by-step explanation:
Answer:
- 2x - 7y
Step-by-step explanation:
Given
- (4x + y) + 2(x - 3y)
Distribute both parenthesis, noting that the first is distributed by - 1
= - 4x - y + 2x - 6y ← collect like terms
= (- 4x + 2x) + (- y - 6y )
= - 2x + (- 7y) = - 2x - 7y
