Answer:
a) 21%
b) 45.5%
c) 26.4%
Step-by-step explanation:
Given the supplied information, a table of probabilities can be constructed. (See the attachment.) The numbers across the bottom reflect the given ratios of customers selecting the different gas types. The numbers in the cells are those bottom numbers multiplied by the percentage that fill the tank (or not). The numbers on the right are the sums of the numbers in each row.
a) The top center cell in the table answers this question. It it the product ...
p(plus)×p(fill | plus) = 0.35×0.60 = 0.21 = 21%
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b) The sum on the right answers this question:
p(fill) = 45.5%
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c) The ratio of the first column number (12%) to the row sum for Fill (45.5%) answers this question:
p(regular | fill) = 12%/45.5% ≈ 26.4%
Answer:
The answer is explained below
Step-by-step explanation:
A. How many ways can you distribute 4 different balls among 4 different boxes
The number of ways in which 4 different balls can be distributed among 4 different boxes is 
B. How many ways can you distribute 4 identical balls among 4 identical boxes?
The number of ways in which 4 identical balls can be distributed among 4 identical boxes = P(4,1) + P(4,2) +P(4,3) + P(4,4) = 1 + 2 + 1 + 1 = 5 ways
Where P(k,n) is the number of partitions that k can be divided into n parts
P(4,1) = 4 = 1
P(4,2) = 1 + 3, 2+2 = 2
P(4,3) = 1 + 1 + 2 = 1
P(4,4) = 1 + 1 + 1 + 1 = 1
C. How many ways can you distribute 4 identical balls among 4 different boxes
The number of ways in which 4 identical balls can be distributed among 4 different boxes = 
4$-20%
X$-100%
X=4·100:20=400:20=20
Answer : He paid for the meal 20$.
Answer:
Step-by-step explanation:
o,o is in the origin
Answer:
B. 16 degrees
Step-by-step explanation:
Because all of the angles in a triangle add up to 180 degrees, you can set up an equation for this problem:
2x - 10 + 4x + 46 + 3x = 180
Start by consolidating everything by adding like terms.
9x + 36 = 180
Then subtract 36 from both sides.
9x = 144
Then divide both sides by 9 to get your x.
x = 16
