A car has 15 gallons of gas in its tank. The car travels 35 miles per gallon of gas. It uses 135 of a gallon of gas to go 1 mile
2 answers:
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You can see the three diagram attached. Each link is labeled with the probability: you have probability 1/6 that a six is rolled, and 5/6 that it is not rolled.
To answer the questions, find the path that brings you to the desired outcome, and multiply all the labels you meet.
First question:
To get three sixes, you have to choose the left path at each roll. The probability is always 1/6, so the answer is
Second question:
To get no sixes, you have to choose the right path at each roll. The probability is always 5/6, so the answer is
Third question:
To get exactly one six, it can either be the first, second or third roll.
In all cases, you have to choose the left path once and the right path twice: left-right-right mean that you get the six in the first roll, right-left-right means that you get the six in the second roll, right-right-left means that you get the six in the third roll.
In every case, the left turn has probability 1/6, and the right turn has probability 5/6. The probability of each combination is thus
And since there are three of these combinations, The answer is
Fourth question:
Since the question suggests to use what we already achieved, let's do it: having at least one six is the complementary event of having no sixes at all. If an event has probability p, its complementary has probability 1-p. So, since the probability of no sixes is known, the probability of at least one six is
Answer:
Part 1) The unit rate is
Part 2) The unit rate is
Part 3) The unit rate is
Part 4) The unit rate is
see the attached figure
Step-by-step explanation:
we know that
The formula to calculate the slope between two points is equal to
where
d ----> number of dollars (dependent variable or output value)
n ---> number of ounces (independent variable or input value)
Remember that the slope of the linear equation is the same that the unit rate
<u><em>Verify each case</em></u>
1) we have
This is a proportional relationship between the variables d and n
The slope is
therefore
The unit rate is
2) we have
<em>First table</em>
take two points from the table
(4,1) and (16,4)
substitute in the formula of slope
simplify
therefore
The unit rate is
3) we have
This is a proportional relationship between the variables d and n
isolate the variable d
The slope is
therefore
The unit rate is
4) we have
<em>Second table</em>
take two points from the table
(1,4) and (2,8)
substitute in the formula of slope
therefore
The unit rate is
