Answer: a) 0.6141
b) 0.9772
Step-by-step explanation:
Given : Mean : 
Standard deviation : 
The formula for z -score :

a) Sample size = 1
For x= 63 in. ,

The p-value = 

Thus, the probability is approximately = 0.6141
b) Sample size = 47
For x= 63 ,

The p-value = 

Thus , the probability that they have a mean height less than 63 in =0.9772.
Answer:
Whats the question
Step-by-step explanation:
the equation in the slope-intercept of the side of triangle ABC that is perpendicular to segment EF is y = x + 1
<h3>How to determine the equation</h3>
From the figure given, we can deduce the coordinates of the sides
For A
A ( 4,2)
For B
B ( 4, 5)
C ( 1, 2)
D ( 2, -4 )
E ( 5, -4)
F ( 2, -1)
The slope for BC
Slope = 
Substitute the values for both B and C coordinates, we have
Slope = 
Find the difference for both the numerator and denominator
Slope = 
Slope = 1
We have the rotation for both point ( 0, 1)
y - y1 = m ( x - x1)
The values for y1 and x1 are 1 and 0 respectively and the slope m is 1
Substitute the values
y - 1 = 1 ( x - 0)
y - 1 = x
Make 'y' the subject of formula
y = x + 1
Thus, the equation in the slope-intercept of the side of triangle ABC that is perpendicular to segment EF is y = x + 1
Learn more about linear graphs here:
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Answer:
1.55
Step-by-step explanation:
3750+900 = 4650
4650/3000 = 1.55