The probabillity can be found by using binomial probability formular considering that the event is discrete in nature and there are two possiple outcomes.
Answer:
z = 4.5
Step-by-step explanation:
∠B = ∠B ∠BAD = 90° - ∠B = ∠C
ΔBAD ~ ΔBCA
AB / z = BD / AB
z = AB * AB / BD = 3*3 / 2 = 4.5
Answer:
2.28%
Step-by-step explanation:
Mr. bowens test is normally distributed with a mean (μ) of 75 and a standard deviation (σ) of 3 points.
The z score is used in probability to show how many standard deviation is a raw score below or above the mean. The formula for the z score (z) is given by:

For a raw score (x) of 81 points, the z score can be calculated by:

Therefore from the normal probability distribution table, the probability that a randomly selected score is greater than 81 can be given as:
P(x > 81) = P(z > 2) = 1 - P(z < 2) = 1 - 0.9772 = 0.0228 = 2.28%
Answer:
For every 5 movies on the list there are 2 comedy movies
Answer:
The transformation of
to
consists in a vertical translation. The new equation is
.
Step-by-step explanation:
Let
. We proceed to make the required transformations on
, which consists in one vertical translation, 3 units in the -y direction. That is to say:
(1)


Then, the transformation of
to
consists in a vertical translation. The new equation is
.