Answer:
The minimum score required for the scholarship is 644.
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean  and standard deviation
 and standard deviation  , the zscore of a measure X is given by:
, the zscore of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:

What is the minimum score required for the scholarship?
Top 8%, which means that the minimum score is the 100-8 = 92th percentile, which is X when Z has a pvalue of 0.92. So it is X when Z = 1.405.




The minimum score required for the scholarship is 644.
 
        
             
        
        
        
Volume = (4/3) * PI * radius^3
80 * PI = (4/3) * PI * radius^3
The 'PI's' cancel out leaving
80 = (4/3) * radius^3
radius^3 = 80/(4/3)
radius^3 = 60
radius = cube root (60)
        
             
        
        
        
Answer:
10
Step-by-step explanation:
Since 1 1/4 x 9 = 11 we can't just jam the extra half a pound into the containers. Therefore, we need 10 containers to securely place the 11 1/2lbs of salad into the containers.
 
        
                    
             
        
        
        
Answer:
<u>x = 58</u>
Step-by-step explanation:
180 - 148 = 32
32 + 90 + x = 180
122 + x = 180
180 - 122 = x
x = 58
Have a nice day!
 
        
                    
             
        
        
        
<u><em>This would be k < 50.</em></u>
This inequality states that k, the price at which Nita wants to buy the new keyboard, is less than 50 dollars.