Boys : girls
5:7
it goes left to right so theres 5 boys
Answer: .123
Step-by-step explanation: use random variable e-s which will follow a normal distribution with a mean of 70-60=10 and SD= sq root of 25+49. P(e-s<0)=.123
Answer:
The passing score is 645.2
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:

If the board wants to set the passing score so that only the best 10% of all applicants pass, what is the passing score?
This is the value of X when Z has a pvalue of 1-0.1 = 0.9. So it is X when Z = 1.28.




The passing score is 645.2
Answer: x = 8.4
Work: So, the goal of this equation is to get x by itself, and the first thing we need to do is get 22 out of that current side. To do that, we are going to add 22 on both sides, cancelling it on the side it's currently on. So, the new equation is 5x = 42. Now, we need to divide 5 on both sides, and like I said, I'll cancel on the side it's currently on. So, the answer is x = 8.4
<em>I hope this helps, and Happy Holidays! :)</em>
Answer: 
Step-by-step explanation:
We know the center of the original circle is (-6, -3). After reflecting this over the line x=2, the new center is now (10, -3).
Thus, the equation of the circle is
.