The heights of adult men in america are normally distributed, with a mean of 69.1 inches and standard deviation of 2.65 inches.
2 answers:
Answer:
Answer is 21%
Step-by-step explanation:
Let X be the heights of adult men in America
X is Normal with mean =69.1 and std dev = 2.65 inches
Percentage of adult males who are under 5 ft 7inches
= height less than 67 inches (since 1 ft = 12 inches)
P(X<67)
=P(Z<
=P(Z<-0.79)
=0.5-0.2852
=0.2148
=21.48%
Hence 21% nearly of males in America are shorter than 5'7"
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Answer:
An equation relating x and y is:
y = 3/4x - 5.5
Step-by-step explanation:
The slope-intercept form of the line equation
y = mx+b
where
- m is the slope
- b is the y-intercept
Given the points
(2, -4), (x, y), A(6, -1), and B(10, 2)
Taking any two points let say A(6, -1), and B(10, 2) to determine the slope
Refine
We know that the value of the y-intercept can be determined by setting x = 0, and determining the corresponding value of y.
From the graph, it is clear
at x = 0, y = -5.5
Thus, the y-intercept b = -5.5
Thus, substituting b = -5.5 and m = 3/4 in the slope-intercept form of the line equation
y = mx+b
y = 3/4x + (-5.5)
y = 3/4x - 5.5
Therefore, an equation relating x and y is:
y = 3/4x - 5.5
Using SohCahToa, we can find the height of the tree. Let the tree height be h. 8m is adjacent to the 30° angle.
The answer is A) 4.6 m
The answer is A) 4.6 m
Answer:
The solution is the point (0.5,-3)
Step-by-step explanation:
we have
----> equation A
----> equation B
Solve the system by substitution
Substitute equation B in equation A
Solve for x
Adds 5 both sides
Divide by 4 both sides
therefore
The solution is the point (0.5,-3)
<em>Verify your answer using the graph</em>
using a graphing tool
Remember that the solution of the system of equations is the intersection point both graphs
The intersection point is (0.5,-3)
therefore
The solution is the point (0.5,-3)
see the attached figure
