Answer:
22.29% probability that both of them scored above a 1520
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean 
and standard deviation 
, 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:
The first step to solve the question is find the probability that a student has of scoring above 1520, which is 1 subtracted by the pvalue of Z when X = 1520.
So
has a pvalue of 0.5279
1 - 0.5279 = 0.4721
Each students has a 0.4721 probability of scoring above 1520.
What is the probability that both of them scored above a 1520?
Each students has a 0.4721 probability of scoring above 1520. So
22.29% probability that both of them scored above a 1520
Answer:
(0,-2)
Step-by-step explanation:
First we find the equation of the line passes through 
and 
.
The slope of the line is
So by the point slope formula the equation of the line is
When 
we have 
.
Therefore the line joining the two points cuts the y-axis at (0,-2).
Answer:
c. 25.12
this can just be estimated- 8 x pi- or, to make it easy just do 8 x 3= 24. that gets you in the ballpark, and the only answer close is C
Answer:
174 centimeters
Step-by-step explanation:
You take 150 and divide it by 10 which gives you 15. since you divide it by 10 and it gives you 15 that means ten percent is 15 centimeters. since we need to find out what the 16 percent is we take the 15 and divide that by 10 which gives us 1.5. That tells us every 1 percent, is 1.5 centimeters. you take the 150 and add 15 and that gives you 165. We have already done 10 percent out of the 16 percent . Now we have to figure out how much the rest of the 6 percent is so we take the 1.5 and multiply it with the 6 and we get a 9. That covers up for the rest of the 6 percent out of the 16 percent. Now we add 165 with 9 to get our answer of 174 centimeters.
