Answer:
A' will be located 10 units from point A along ray PA
Step-by-step explanation:
we know that
The scale factor is equal to 3
To obtain PA', multiply PA by the scale factor
so
PA'=PA*3
PA=5 units
substitute
PA'=(5)*3=15 units
AA'=PA'-PA=15-5=10 units
therefore
A' will be located 10 units from point A along ray PA
Answer:
Assciates Property
Step-by-step explanation:
look at the picture above
Answer:
In order to calculate the expected value we can use the following formula:
And if we use the values obtained we got:
Step-by-step explanation:
Let X the random variable that represent the number of admisions at the universit, and we have this probability distribution given:
X 1060 1400 1620
P(X) 0.5 0.1 0.4
In statistics and probability analysis, the expected value "is calculated by multiplying each of the possible outcomes by the likelihood each outcome will occur and then summing all of those values".
The variance of a random variable Var(X) is the expected value of the squared deviation from the mean of X, E(X).
And the standard deviation of a random variable X is just the square root of the variance.
In order to calculate the expected value we can use the following formula:
And if we use the values obtained we got:
Answer:
(x, y ) → (x + 6, y + 12 )
Step-by-step explanation:
We require to determine the horizontal and vertical shift to go from one of the points on the line to the corresponding point on the image
Consider point V with x- coordinate - 8 and y- coordinate - 2
The corresponding point is V'
with x- coordinate - 2 and y- coordinate 10
Thus V → V' is 6 units right in the horizontal direction and 12 units up in the vertical direction.
These are the same shifts for W → W'
Thus the translation rule is
(x, y ) → (x + 6, y + 12 )
Step-by-step explanation: