On average, a pair of bike tires can last 18 months if used every day. The length of time bike tires can last is exponentially d
1 answer:
Answer:
We conclude that eighty percent of bike tires last at most 14.4 months.
Step-by-step explanation:
We know that a pair of bike tires can last 18 months if used every day.
We calculate how much eighty percent of the tire will last in months.
We have the following proportion:
We conclude that eighty percent of bike tires last at most 14.4 months.
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Answer:
a)
And replacing we got:
b)
And replacing we got:
c)
And replacing we got:
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".
Part a
Let X the random variable of interest for this case. We define the z score with the following formula:
And for this case we know that
If we solve for x from the z score formula we got:
And replacing we got:
Part b
Let X the random variable of interest for this case. We define the z score with the following formula:
And for this case we know that
If we solve for x from the z score formula we got:
And replacing we got:
Part c
Let X the random variable of interest for this case. We define the z score with the following formula:
And for this case we know that
If we solve for x from the z score formula we got:
And replacing we got:
The radius of a circle is half the diameter.
Thus, the radius (r) is >>>
The area of a circle is given by the formula,
Where
r is the radius
Substituting the radius value into the area formula, we have: