What proportion of a normal distribution is located between z = 1.00 and z = 1.50?
1 answer:
Answer:
0.092 is the required proportion.
Step-by-step explanation:
We are given the following in the question:
A normal distribution.
We have to find the proportion of data lying between z = 1.00 and z = 1.50.
P(between z = 1.00 and z = 1.50)
Thus, 0.092 is the proportion of data located between z = 1.00 and z = 1.50.
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The midpoint formula is:
Insert your coordinates.
Simplify.
Insert your coordinates.
Simplify.
Answer:
Solution: (2, 2)
Step-by-step explanation:
The first equation describes a line with a y-intercept of 3 and a (downward) slope of -1/2. That is, it has a "rise" of -1 for a "run" of 2.
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The second equation describes a line with a y-intercept of -2 and an (upward) slope of 2. That is, it has a "rise" of 2 for a "run" of 1.
These two lines meet at the point (2, 2), which is the solution to the set of equation. Those are the values of x and y that satisfy both equations.
