Answer:
And we can find this probability with this difference:
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 amount of cofee shops 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 with this difference:
Answer:
Step-by-step explanation:
A(-10,-3), B(7,14)
slope of AB = (-3-14)/(-10-7) = 1
slope of perpendicular to AB = -1
equation of perpendicular through C(5,12):
y-12 = -(x-5)
y-12 = -x+5
x = -y+17
x-intercept is the value of x when y=0.
x-intercept = 17
(0,17) is a point on CD.