Answer:
P=(-4,-5)
Step-by-step explanation:
we are given
point P on the directed line segment from A to B such that P is 1/3 the length of the line segment from A to B
It means that point P divides line segment AB into 1:2 form
A=(-8,-13)
B=(4,11)
4=-8+12
11=-13+24
It means that x-value increases by 12 units
y-value increases by 24 units
P is 1/3 the length of the line segment from A to B
so, point P is (-4,-5)
It is given that number of accidents on a particular highway is average 4.4 per year.
a. Let X be the number of accidents on a particular highway.
X follows Poisson distribution with mean μ =4.4
The probability function of X , Poisson distribution is given by;
P(X=k) =
b. Probability that there are exactly four accidents next year, X=4
P(X=4) =
P(X=4) = 0.1917
Probability that there are exactly four accidents next year is 0.1917
c. Probability that there are more that three accidents next year is
P(X > 3) = 1 - P(X ≤ 3)
= 1 - [ P(X=3) + P(X=2) + P(X=1) + P(X=0)]
P(X=3) =
P(X=3) = 0.1743
P(X=2) =
P(X=2) = 0.1188
P(X=1) =
P(X=1) = 0.054
P(X=0) =
= 0.0122
Using these probabilities into above equation
P(X > 3) = 1 - P(X ≤ 3) = 1 - [ P(X=3) + P(X=2) + P(X=1) + P(X=0)]
= 1 - (0.1743 + 0.1188 + 0.054 + 0.0122)
P(X > 3) = 1 - 0.3593
P(X > 3) = 0.6407
Probability that there are more than three accidents next year is 0.6407
Let x be the common length. Then, the sides of the triangle are x, x, and 2x-6. These three sides sum up to 22, so you have
So, the two equal sides are 7m long, and the third side is