A truck can travel 210 miles in the same time it takes a car to travel 350 miles. If the trucks rate is 20 miles per hour slower
1 answer:
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Answer:
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution to the problem
Let X the random variable that represent the lifetime for a TV of a population, and for this case we know the distribution for X is given by:
Where and
We are interested on this probability
And the best way to solve this problem is using the normal standard distribution and the z score given by:
If we apply this formula to our probability we got this:
And we can find this probability like this:
And in order to find these probabilities we can use tables for the normal standard distribution, excel or a calculator.
Answer:
Step-by-step explanation:
We essentially need to solve for l; in other words, we must isolate it to one side.
First, notice that the term doesn't have any l terms in it, so we can just move this to the left side by subtracting both sides by
:
A - = 2lw
Now, the right side has 2lw, so we must divide both sides by 2w to isolate l:
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