Answer:
And we can solve this using the following z score formula:
And if we use this formula we got:
So we can find this probability equivalently like this:
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 heights of a population, and for this case we know the distribution for X is given by:
Where 
and 
We select n =100. Since the distribution for X is normal then we know that the distribution for the sample mean 
is given by:
We want this probability:
And we can solve this using the following z score formula:
And if we use this formula we got:
So we can find this probability equivalently like this:
It takes 15 minutes for Ms. Peter to drive from park to her home
Given :
from her home to the park at an average speed of 30 miles per hour and
returned home along the same route at an average speed of 40 miles per hour
it takes 20 minutes to travel
Convert 20 minutes in to hour (divide by 60)
20 minutes = 1/3 hour
We know that distance = speed x time
From home to park, distance =
So , distance between home and park is 10 miles
Now we calculate the time taken to return from park to home
Time taken is 1/4 hours. Convert it into minutes by multiplying by 60
So it takes 15 minutes for Ms. Peter to drive from park to her home
Learn more : brainly.com/question/18839247
Yes it is a function!, all the first numbers are none repeating, for example it says -5,4,6 since they are not the same this is a function
Where the angle bisectors intersect determines the center of the incircle.
Where the side perpendicular bisectors intersect determines the center of the center of the circumcircle. From these definitions, you should be able to determine the points you want.
Answer:
y = mx + b
Step-by-step explanation:
Where m is the slope of the line and b is the y-intercept. The y-intercept of this line is the value of y at the point where the line crosses the y axis.
