Answer:
The probability of his score being between 135 and 167 is 0.8151 or (0.8151*100=81.51%)
Step-by-step explanation:
Given that:
Mean = μ = 150
SD = σ = 12
Let x1 be the first data point and x2 the second data point
We have to find the z-scores for both data points
x1 = 135
x2 = 167
So,

And

We have to find area to the left of both points then their difference to find the probability.
So,
Area to the left of z1 = 0.1056
Area to the left of z2 = 0.9207
Probability to score between 135 and 167 = z2-z1 = 0.9027-0.1056 = 0.8151
Hence,
The probability of his score being between 135 and 167 is 0.8151 or (0.8151*100=81.51%)
 
        
             
        
        
        
Answer:
About 588.7 mm^3
Step-by-step explanation:
The formula for the volume of a sphere is (4/3)*pi (or in this case 3.14)*r^3, where r is the radius.
We need the radius. We are given the diameter, 10.4.
The radius is half the diameter, so 10.4/2=5.2.
Use r=5.2 and put it into the formula:
(4/3)*3.14*5.2^3≈588.7
 
        
                    
             
        
        
        
Answer is A: when you add all the percents it’s 50 the rest is 50%
        
                    
             
        
        
        
Answer:
The new function is g(x) = x² +1
Step-by-step explanation:
<u><em>Explanation:-</em></u>
Given that the function f(x) = x² 
From graph ,
The parabola  y = x² is shifting to up with '1' units
                     y = x² +1
The new function is g(x) = x² +1
<u><em>Verification:-</em></u>
     y = x²+1
 Put x=0 ⇒ y =1
The point (0,1) lies on the parabola y = x²+1
 similarly put x =1 and y = 2
The Point (1,2) lies on the Parabola y = x²+1
∴ The new graph  y = x²+1
 
        
             
        
        
        
The answer would be about