Answer:
B.77.4%
Step-by-step explanation:
Mean wage (μ) = $4.50
Standard deviation (σ) = $0.50
For nay given salary X, the z-score is given by:

For X = $3.75, the z-score is:

For X = $5.00, the z-score is:

A z-score of -1.5 corresponds to the 6.68th percentile, while a score of 1 corresponds to the 84.13th percentile. Therefore, the percentage of workers getting paid between $3.75 and $5.00 an hour is:

The answer is alternative B.77.4%
 
        
             
        
        
        
Answer:
The slope is 2 
Step-by-step explanation:
Formula: y2-y1/x2-x1= 11-5/7-4 = 6/3=2
 
        
             
        
        
        
Answer:
169.04 in² (nearest hundredth)
Step-by-step explanation:
Surface area of a cone =  r² +
r² +  r
r
(where r = radius of the base and  = slant height)
 = slant height)
Given slant height  = 10 and surface area = 188.5
 = 10 and surface area = 188.5
Surface area  =  r² +
r² +  r
r
188.5 =  r² + 10
r² + 10 r
r
  r² + 10
r² + 10 r - 188.5 = 0
r - 188.5 = 0
r =  = 4.219621117...
 = 4.219621117...
Volume of a cone = (1/3) r²h
r²h
(where r = radius of the base and h = height)
We need to find an expression for h in terms of  using Pythagoras' Theorem a² + b² = c², where a = radius, b = height and c = slant height
 using Pythagoras' Theorem a² + b² = c², where a = radius, b = height and c = slant height
r² + h² =  ²
²
h² =  ² - r²
² - r²
h = √( ² - r²)
² - r²)
Therefore, substituting found expression for h:
volume of a cone = (1/3) r²√(
r²√( ² - r²)
² - r²)
Given slant height  = 10 and r = 4.219621117...
 = 10 and r = 4.219621117...
volume = 169.0431969... = 169.04 in² (nearest hundredth)