18=(2/3)x-6
+6 +6
24=(2/3)x
÷(2/3) ÷(2/3)
36=x
check it now
18=((2/3)(36))-6
18=(24)-6
18=18
that is a true statement so x must be equal to 36
x=36
Answer: 5 1/2 hours
Step-by-step explanation:
1 hour = 12 miles
2 hours = 24 miles
3 hours =36 miles
4 hours = 48 miles
5 hours = 60 miles
6 hours = 72 miles
66- 60 = 6. 6 is half of 12.
In conclusion, it will take Tavyon 5 1/2 (or 5.5) hours to bike 66 miles.
Hope this helps!
45 - 15 - 15 = 45 - 30
45 - 30 = (15)
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
All but -1 <x <1
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