<span>B would be the most appropriate response for this. We don't need to worry about Ashley being in the 85th percentile, that is just extra information they have provided us. What we need to look at is her mean test score is 180, so that is the average score she normally gets on her tests, but then they say she has a standard deviation of 15 which means her scores are normally no lower than 165 and no higher than 195 because she normally doesn't deviate or change her score more than 15 points for her normal 180. So if you take 180 minus 15 you get 165 and if you take 180 plus 15 you get 195, therefore we can determine that the most appropriate answer would be between 165 and 195. The only option that fits in this category is B 185</span>
Answer:
5..(b)
Step-by-step explanation:
Pythagoras theorem states that
Hypotenuse(squared)=opposite(squared)+ adjacent(squared)
hypotenuse=?,opposite=3,adjacent=4
hyp(squared)=3(squared)+4(squared)
hyp(squared)=9+16
hyp(squared)=25
find the square root of both sides
hypotenuse=5
Answer:
Option d
Step-by-step explanation:
We need 2 fundamental data to solve this problem.
1.- Average number of clients attended in 1 hour.
2.- Time in which it is expected that a client will be attended.
They tell us that the average number of clients served in an hour is m = 8
They tell us to calculate the probability that the client will be seen in less than 15 minutes.
But the time t in the formula is given in hours.
Therefore we must write 15 minutes according to hours.
We know that 
.
So:
![15\ minutes[\frac{1\ hour}{60\ minutes}] = 0.25\ hours](https://tex.z-dn.net/?f=15%5C%20minutes%5B%5Cfrac%7B1%5C%20hour%7D%7B60%5C%20minutes%7D%5D%20%3D%200.25%5C%20hours)
.
Now we substitute in the formula 
and 
to find P.
Answer:
15
Step-by-step explanation:
To find the average rate if change of the exponential function between the interval [2, 6], use the formula, 
Where,
Plug in the above values into the formula:
Average rate of change is 15
Answer:
(-2, 3)
Step-by-step explanation:
- <em>When rotating a point 180 degrees counterclockwise about the origin our point A(x,y) becomes A'(-x,-y). So all we do is make both x and y negative</em>
<u>Point (2, -3) becomes:</u>
