Answer:
And we can use the complement rule and 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".
Solution to the problem
Let X the random variable that represent the bank account balances of a population, and for this case we know the distribution for X is given by:
Where and
Since the distribution of X is normal then the distribution for the sample mean is given by:
And we can use the z score formula given by:
And using this formula we got:
And we can use the complement rule and we got:
Dilation involves changing the size of a shape
The vertex of the image is (5,40)
<h3>How to determine the image</h3>
The vertex of the pre-image is given as:
(1,8)
The scale factor (k) is given as:
k = 5
So, the vertex of the image is:
Vertex = (1,8) * 5
This gives
Vertex = (5,40)
Hence, the vertex of the image is (5,40)
Read more about dilation at:
brainly.com/question/3457976
56.5 degrees
Two Angles are Complementary when they add up to 90 degrees (a Right Angle). They don't have to be next to each other, just so long as the total is 90 degrees.
90 degrees - 33.5 degrees =56.5 degrees
Answer:
d = 10.8167
Step-by-step explanation:
The distance between two points can be easily found by using the following expression
d = √((x1-x2)^2 + (y1-y2)^2)
where
(x1,y1) = (6,-4)
(x2,y2) = (0,5)
d = √((6-0)^2 + (-4-5)^2)
d = √(36 + 81)
d = √(117)
d = 10.8167