Answer:
375 miles
Step-by-step explanation:
Create a proportion where x is the number of miles she can drive on 12.5 gallons of gas:
=
Cross multiply and solve for x:
3.2x = 1200
x = 375
So, with 12.5 gallons of gas, Sara can drive 375 miles
the perimeter of a triangle z measures 48 cm . it was dilated with a scale factor of 0.8 to form triangle p . what is the perime
1 answer:
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Answer:
a)
b)
Step-by-step explanation:
1) 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".
2) Part a
Let X the random variable that represent the duration of a safe dosage of pain relief drug, 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 on this way:
And in order to find these probabilities we can find tables for the normal standard distribution, excel or a calculator.
3) Part b
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 on this way: