Isabel can drive 505.85 miles with a gas tank that holds 15.1 gallons of gas
<em><u>Solution:</u></em>
Given that, Isabel’s car gets 33.5 miles per gallon
Her gas tank holds 15.1 gallons of gas
To find: Number of miles can Isabel drive on a full tank of gas
Let "x" be the miles drive with 15.1 gallons of gas
From given,
1 gallon = 33.5 miles
15.1 gallon = x miles
This forms a proportion and we can solve the sum by cross multiplying

Thus Isabel can drive 505.85 miles on a full tank of gas
Answer:

Step-by-step explanation:
-For a known standard deviation, the sample size for a desired margin of error is calculated using the formula:

Where:
is the standard deviation
is the desired margin of error.
We substitute our given values to calculate the sample size:

Hence, the smallest desired sample size is 23
Answer:

Step-by-step explanation:
By definition if two events are mutually exclusive then they are disjoint events, that is, they can not occur at the same time.
In general terms we say that events are mutually exclusive, then:

In this case we have that

But A and B are mutually exclusive events, then 
According to the rate of change, it is found that the hourly rate of temperature change at the bottom of the mountain was of -2.5 ºC per hour.
<h3>What is the average rate of change?</h3>
The average rate of change of a function is given by the <u>change in the output divided by the change in the input.</u>
In this problem, it is stated that at the top of the mountain, the average rate of change is of -2.5 ºC per hour, and at the bottom of the mountain the rate is the same, hence the hourly rate of temperature change at the bottom of the mountain was of -2.5 ºC per hour.
You can learn more about average rate of change at brainly.com/question/26420851