Answer:
A is the answer
vertically stretched by a factor of 2
Step-by-step explanation:
f(x) = √x and f(x) = 2√x
Since |a| = 2 > 1. The line f(x) = 2√x is vertically stretched by a factor of 2
from f(x) = √x
Answer is A
Let X be the number of burglaries in a week. X follows Poisson distribution with mean of 1.9
We have to find the probability that in a randomly selected week the number of burglaries is at least three.
P(X ≥ 3 ) = P(X =3) + P(X=4) + P(X=5) + ........
= 1 - P(X < 3)
= 1 - [ P(X=2) + P(X=1) + P(X=0)]
The Poisson probability at X=k is given by
P(X=k) =
Using this formula probability of X=2,1,0 with mean = 1.9 is
P(X=2) =
P(X=2) =
P(X=2) = 0.2698
P(X=1) =
P(X=1) =
P(X=1) = 0.2841
P(X=0) =
P(X=0) =
P(X=0) = 0.1495
The probability that at least three will become
P(X ≥ 3 ) = 1 - [ P(X=2) + P(X=1) + P(X=0)]
= 1 - [0.2698 + 0.2841 + 0.1495]
= 1 - 0.7034
P(X ≥ 3 ) = 0.2966
The probability that in a randomly selected week the number of burglaries is at least three is 0.2966
Answer:
y=216
Step-by-step explanation:
y/2=108
y=216
Answer:
The geometric term is a line segment.
Step-by-step explanation:
A tightrope is a rope fixed at both ends in a straight manner that have the ability to sustain an appropriate moving weight on it. This depicts a straight line model in geometry. A line extends continuously at its ends, while a line segment has a definite length (has no continuous extension).
Therefore, the geometric term modeled by a tightrope is a line segment.
Answer:
Step-by-step explanation:
x = 180 - 80 - 55 (Interior angles of a triangle add up to 180 degrees so if we need to find any unknown angle, we'll subtract all the other angles from 180)
x = 45 degrees