Answer:
22.
R= -8, 15
S= -5, 9
T= -8,9
23.
J = 4, 4
K = 4, 3
L = 1, 1
M = 1, 4
Step-by-step explanation:
rotation of -90= y, -x
so R (-7, -5) = -5,7
S (-1, -2) = -2, 1
T (-1, -5) = -5, 1
now we translate 3 left (x-3) and 8 up (y+8)
R (-5, 7) = -8, 15
S (-2, 1) = -5, 9
T (-5, 1) = -8, 9
reflection of x-axis= x, -y
J (-4, 4) = -4, -4
K (-3, 4) = -3, -4
L (-1, 1) = -1, -1
M (-4, 1) = -4, -1
Then a 180° rotation is (-y, -x)
J (-4, -4) = 4, 4
K (-3, -4) = 4, 3
L (-1, -1) = 1, 1
M (-4, -1) = 1, 4
Answer:
Step-by-step explanation:
L= L x W x H
L=8x3x5
L=120
Using the <u>normal approximation to the binomial</u>, it is found that there is a 0.994 = 99.4% probability that we will have enough seats for everyone who shows up.
In a normal distribution with mean
and standard deviation
, the z-score of a measure X is given by:
- It measures how many standard deviations the measure is from the mean.
- After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.
- The binomial distribution is the probability of <u>x successes on n trials</u>, with <u>p probability</u> of a success on each trial. It can be approximated to the normal distribution with
.
In this problem:
- 15% do not show up, so 100 - 15 = 85% show up, which means that
. - 300 tickets are sold, hence
.
The mean and the standard deviation are given by:


The probability that we will have enough seats for everyone who shows up is the probability of at most <u>270 people showing up</u>, which, using continuity correction, is
, which is the <u>p-value of Z when X = 270.5</u>.



has a p-value of 0.994.
0.994 = 99.4% probability that we will have enough seats for everyone who shows up.
A similar problem is given at brainly.com/question/24261244