Answer: 19
Step-by-step explanation:
 
        
             
        
        
        
Answer:
D.  d = sqrt( ( x2-x1)^2 + (y2-y1)^2)
C.   d = sqrt( ( x1-x2)^2 + (y1-y2)^2)
B.  d = sqrt( (|x2-x1|^2 + |y2-y1|^2)
Step-by-step explanation:
Given two points (x1, y1) and (x2,y2)  we can find the distance using
d = sqrt( ( x2-x1)^2 + (y2-y1)^2)
The order of the terms inside the square doesn't matter
 d = sqrt( ( x1-x2)^2 + (y1-y2)^2)
When we are squaring are term, we can take the absolute value before we square and it does not change the value
d = sqrt( (|x2-x1|^2 + |y2-y1|^2)
 
        
             
        
        
        
Answer:
a) 6.68th percentile
b) 617.5 points
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:

a) A student who scored 400 on the Math SAT was at the ______ th percentile of the score distribution.



 has a pvalue of 0.0668
 has a pvalue of 0.0668
So this student is in the 6.68th percentile.
b) To be at the 75th percentile of the distribution, a student needed a score of about ______ points on the Math SAT.
He needs a score of X when Z has a pvalue of 0.75. So X when Z = 0.675.




 
        
             
        
        
        
Area = 1/2 base x height so you would find the area of one of the 3 larger sides which would be 12.2x6.1=74.42 then divide it by 2 which is 37.21. Then multiply it by 3 because of the other sides that are the same which gets you 111.63. Then you find the area of the bottom triangle by doing 5.3x6.1= 32.33 then divide it by 2 which is 16.165. Then you add both numbers together and you get 127.795. Answer is 127.795
        
             
        
        
        
Prob (first defective) = 4 / 20 = 1/5
Prob(2nd defective) = 3/19
Prob (3rd defective) = 2/18 = 1/9
Pron 4th defective) = 1/ 17
Prob ( all 4 defective) = 1/5 * 3/19 * 1/9 * 1/17 = 1 / 4845 answer