Answer:
r = 225 Mil/h speed of the airplane in still air
Step-by-step explanation:
Then:
d is traveled distance and r the speed of the airplane in still air
so the first equation is for a 4 hours trip
as d = v*t
d = 4 * ( r + 25) (1) the speed of tail wind (25 mil/h)
Second equation the trip back in 5 hours
d = 5 * ( r - 25 ) (2)
So we got a system of two equation and two unknown variables d and
r
We solve it by subtitution
from equation (1) d = 4r + 100
plugging in equation 2
4r + 100 = 5r - 125 ⇒ -r = -225 ⇒ r = 225 Mil/h
And distance is :
d = 4*r + 100 ⇒ d = 4 * ( 225) + 100
d = 900 + 100
d = 1000 miles
Answer:
The probability that event B will occur is 0.45
Step-by-step explanation:
Given;
probability that event A occurs, P(A) = 0.4
the probability that events A and B both occur, P(A ∩ B) = 0.25
the probability that either event A or event B occurs, P(A ∪ B) = 0.6
To determine the probability that event B will occur, we use probability addition rule;
P(A) + P(B) = P(A ∩ B) + P(A ∪ B)
0.4 + P(B) = 0.25 + 0.6
0.4 + P(B) = 0.85
P(B) = 0.85 - 0.4
P(B) = 0.45
Therefore, the probability that event B will occur is 0.45
They are closer in values.
B because k is not a specified number
Answer:
16.80 ft long
Step-by-step explanation: