Answer:
steps: divide, multiply, subtract, and bring down.
Step 1. Calculate how many times the number outside the division bar goes into the first number inside the bar. Step 2. Put the answer on top of the bar. Step 3. Multiply the number outside the division bar by the number at the top of the bar.
 
        
             
        
        
        
Answer:
The score that separates the lower 5% of the class from the rest of the class is 55.6.
Step-by-step explanation:
Problems of normally distributed samples can be 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 question:

Find the score that separates the lower 5% of the class from the rest of the class.
This score is the 5th percentile, which is X when Z has a pvalue of 0.05. So it is X when Z = -1.645.
 
 


The score that separates the lower 5% of the class from the rest of the class is 55.6.
 
        
             
        
        
        
B=blue
g=green
r=red
2 times as many blue as green
b=2g
3 times as many red as blue
r=3b
subsitute 2g for b
r=3(2g)=6g
r=6g
r+g+b=765
so we subsitute
r=6g
g=g
b=2g
6g+g+2g=765
add like terms
9g=765
divide both sides by 9
g=85
subsitute
b=2b
b=2(85)
b=170
170 blue
        
             
        
        
        
Answer:
sum of the areas of their faces
Step-by-step explanation:
 
        
             
        
        
        
Since vertical angles are congruent, (4x+7)=5(x-4). So simplifying we get 4x+7=5x-20. If we add 20 on both sides we get 4x+27=5x. Now when we subtract x from both sides, we get x=27