Answer:
x=14
PN=MN=85
Step-by-step explanation:
It is an isosceles triangle because PQ=MQ and QN is perpendicular to PM. PN=MN
8x-27=6x+1
2x=28
x=14
PN=MN=85
The height will be four, becaus 5 is the height of the base not the whole prism. You can tell be beacause when you find the area of the base and multiply it by the height you multiply it by 4 not 5.
Answer:
64.65% probability of at least one injury commuting to work in the next 20 years
Step-by-step explanation:
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

In which
x is the number of sucesses
e = 2.71828 is the Euler number
is the mean in the given interval.
Each day:
Bikes to work with probability 0.4.
If he bikes to work, 0.1 injuries per year.
Walks to work with probability 0.6.
If he walks to work, 0.02 injuries per year.
20 years.
So

Either he suffers no injuries, or he suffer at least one injury. The sum of the probabilities of these events is decimal 1. So

We want
. Then

In which



64.65% probability of at least one injury commuting to work in the next 20 years
Answer: 2900185 Joules
Step-by-step explanation:
Force used to tow the car is 1600N
Angle(α)= 25
Displacement = 2km
Recall that 1km= 1000m
Therefore 2km= 2000m
Workdone= FdCos α
W= 1600 * 2000 * cos 25
W=2900184.919
W= 2900185 Nm(when approximated to the nearest integer)
Since 1J = 1Nm
Work done = 2900185 J
Y=mx+b
m=slope
given
y=6x-9
m=6
the slope is 6