Julie travelled with 30.5 miler per gallon.
<u>SOLUTION: </u>
Given, On Julie's trip to the mountains she traveled 192 miles using 6 gallons of gas.
On the return trip she traveled 235 miles on 8 gallons of gas.
We have to find how many miles per gallon did Julie get on the way there?
We know that,
Substituting the values we get,
Hence, Julie travelled with 30.5 miler per gallon on the way there on mountains.
Answer:
0.2992 = 29.92% probability of obtaining at least 8 failures.
Step-by-step explanation:
For each dice, there are only two possible outcomes. Either a failure is obtained, or a success is obtained. Trials are independent, which means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
A success is 5 or 6.
A dice has 6 sides, numbered 1 to 6. Since a success is 5 or 6, the other 4 numbers are failures, and the probability of failure is:
10 normal six sided dice are thrown.
This means that
Find the probability of obtaining at least 8 failures.
This is:
So
Then
0.2992 = 29.92% probability of obtaining at least 8 failures.