Answer:
Given system of inequalities,
-2x + 3y > 3,
4x - 3y < 15,
Graphing -2x + 3y > 3 :
Related equation of line -2x + 3y = 3,
If x = 0,
-2(0) + 3y = 3 ⇒ 3y = 3 ⇒ y = 1,
If y = 0,
-2x + 3(0) = 3 ⇒ -2x = 3 ⇒ x = -1.5,
'>' represents the dotted line,
Join the points (0, 1) and (-1.5, 0) by dotted line.
For (0, 0), -2(0) + 3(0) > 3 ( False )
Shaded region will not contain the origin.
Graphing 4x - 3y < 15 :
Related equation of line 4x - 3y = 15
If x = 0,
4(0) - 3y = 15 ⇒ -3y = 15 ⇒ y = -5,
If y = 0,
4x - 3(0) = 15 ⇒ 4x = 15 ⇒ x = 3.75,
'<' represents the dotted line,
Join the points (0, -5) and (3.75, 0) by dotted line.
For (0, 0), 4(0) - 3(0) < 3 (True )
Shaded region will contain the origin.
Answer:
4.4% of the population with IQ between 120 and 125.
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 100
Standard Deviation, σ = 15
We are given that the distribution of IQ scores is a bell shaped distribution that is a normal distribution.
a) Let X be a person's IQ score.
Then, density functions for IQ scores is given by:
b) P(population with IQ between 120 and 125.)
Formula: