Answer:
5
Step-by-step explanation:
move the terms
collect like terms
calculate
divide both side
Angle BCA = 180 - 100
angle BCA = 80
Isosceles triangle ABC has two congruent angles, A and B
2x + 80 = 180
2x = 100
Angles A and B = 50 or y and z = 50
I think lines AB and DE are supposed to be parallel, so angles y and x are consecutive interior angles (supplementary)
x = 180 - 50 = 130
Answer:
the daily fee =33 dollars
and the mileage charge.=0.35
Step-by-step explanation:
let d: be daily fee and m for mileage
cost of rental =(d*number of days)+ (m*number of mileage)
her first trip: 4d+440m=286
her second trip: 3d+190m=165.5
solve by addition and elimination
4d+440m=286 ⇒ multiply by 3 ⇒12d +1320m=(3)286
3d+190m=165.5⇒ multiply by 4⇒12d+190(4)m=4(165.5)
12d+1320m=858
12d+760m=662
subtract two equation to eliminate d
12d+1320m-12d-760m=858-662
560m=196
m=7/20=0.35 for on mileage
d: 4d+440m=286
4d=286-440(0.35)
d=(286-154)/4 33 dollars
Answer:
0.381 is the probability that the number of drivers will be at most 18.
Step-by-step explanation:
We are given the following information in the question:
The number of drivers who travel between a particular origin and destination during a designated time period has a Poisson distribution with parameter μ = 20.
- The Poisson distribution is the discrete probability distribution of the number of events occurring in a given time period, given the average number of times the event occurs over that time period.
- The variance of Poisson distribution is equal to the mean of Poisson distribution.
a) P(number of drivers will be at most 18)
Formula:


Thus, 0.381 is the probability that the number of drivers will be at most 18.