Answer: 15n³-105n²+2n+16/6n²-42n
Step-by-step explanation:
n+8/3n²-21n +5n/2
2(n+8)+5n(3n²-21n)/2(3n²-21n)
2n+16+15n³-105n²/6n²-42n
15n³-105n²+2n+16/6n²-42n
Answer:
2
Step-by-step explanation:
After careful consideration i think I have an answer...
So if you notice, These two triangles are a reflection of each other.
Now even though these two triangles equal one another, we still have to consider the fact that they are different. (one side is the opposite of another)
So lets just name all the sides that equal each other.
∠N = ∠Q
NO = QS
QR = NP
PO = SR
∠S = ∠O
∠P = ∠R
(by the way i'm going to be saying {the reflective side} every time i want to refer to the side with the two lines :P) - so bare with me.
So therefore this would mean that ∠P = ∠S would be false, since one angle is from the side that is reflected and the other isn't. Makes sense?
So lets look over at the answers...
A.) PN = SQ
For this answer choice, PN is on the non reflective side, while SQ is on the reflective side. Soooo... This answer choice is wrong.
B.) NO = QR
NO is part of the unreflective side, while QR is part of the reflective side.
Therefore this answer is wrong. They must be part of the same side.
C.) ∠P = ∠S
∠P is on the unreflective side, while angle ∠S is on the reflective side.
There fore this answer is also wrong.
D.) ∠O = ∠S
Now ∠O is on the reflective side while ∠S is on the reflective as well.
There fore this answer is correct .
YOUR ANSWER IS.
D.) ∠O = ∠S
Good Luck! :)
Answer:
88.88% probability that it endures for less than a year and a half
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 
, 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, we have that:
The next career begins on Monday; what is the likelihood that it endures for less than a year and a half?
One year has 52.14 weeks. So a year and a half has 1.5*52.14 = 78.21 weeks.
So this probability is the pvalue of Z when X = 78.21.
has a pvalue of 0.8888
88.88% probability that it endures for less than a year and a half
Answer:
3 3/4 hours
Step-by-step explanation:
If Henry can fill 2 shelves in the time it takes Jacob to fill one, working together they can fill 3 shelves in 3/4 hour, an average rate of 1/4 hour per shelf. It will take them 15 times 1/4 hour to fill 15 shelves.
Henry and Jacob working together can fill 15 shelves in 3 3/4 hours.
