Answer:
-33.6
Step-by-step explanation:
1. Solve inside the brackets = 4.2
2. Multiply that by -8 = -33.6
Answer: (a) P(no A) = 0.935
(b) P(A and B and C) = 0.0005
(c) P(D or F) = 0.379
(d) P(A or B) = 0.31
Step-by-step explanation: <u>Pareto</u> <u>Chart</u> demonstrates a relationship between two quantities, in a way that a relative change in one results in a change in the other.
The Pareto chart below shows the number of people and which category they qualified each public school.
(a) The probability of a person not giving an A is the difference between total probability (1) and probability of giving an A:
P(no A) = ![1-\frac{68}{1052}](https://tex.z-dn.net/?f=1-%5Cfrac%7B68%7D%7B1052%7D)
P(no A) = 1 - 0.065
P(no A) = 0.935
b) Probability of a grade better than D, is the product of the probabilities of an A, an B and an C:
P(A and B and C) = ![(\frac{68}{1052})(\frac{258}{1052})(\frac{327}{1052})](https://tex.z-dn.net/?f=%28%5Cfrac%7B68%7D%7B1052%7D%29%28%5Cfrac%7B258%7D%7B1052%7D%29%28%5Cfrac%7B327%7D%7B1052%7D%29)
P(A and B and C) = ![\frac{5736888}{1164252608}](https://tex.z-dn.net/?f=%5Cfrac%7B5736888%7D%7B1164252608%7D)
P(A and B and C) = 0.0005
c) Probability of an D or an F is the sum of probabilities of an D and of an F:
P(D or F) = ![\frac{269}{1052} +\frac{130}{1052}](https://tex.z-dn.net/?f=%5Cfrac%7B269%7D%7B1052%7D%20%2B%5Cfrac%7B130%7D%7B1052%7D)
P(D or F) = ![\frac{399}{1052}](https://tex.z-dn.net/?f=%5Cfrac%7B399%7D%7B1052%7D)
P(D or F) = 0.379
d) Probability of an A or B is also the sum of probabilities of an A and of an B:
P(A or B) = ![\frac{68}{1052} +\frac{258}{1052}](https://tex.z-dn.net/?f=%5Cfrac%7B68%7D%7B1052%7D%20%2B%5Cfrac%7B258%7D%7B1052%7D)
P(A or B) = ![\frac{326}{1052}](https://tex.z-dn.net/?f=%5Cfrac%7B326%7D%7B1052%7D)
P(A or B) = 0.31
Answer:
d=4.5t
Step-by-step explanation:
in two hours, Francine went 9 miles
9/2=4.5
the distance equals 4.5 times each cycling time.
d=4.5t
(3,4) (9,7)
to find the slope
m = (y2-y1)/(x2-x1)
= (7-4)/(9-3)
3/6
1/2
The slope is 1/2
point slope form
y-y1 = m(x-x1)
y-4 = 1/2(x-3)
distribute
y-4 = 1/2x -3/2
add 4 to each side
y = 1/2 x -3/2 + 4
y = 1/2 x -3/2 + 8/2
y = 1/2 x + 5/2
this is in slope intercept form
Answer:
B
Step-by-step explanation:
2/7 I Hope i helped