We have the following expression:
(2x ^ 3-12x ^ 2 + 10x-108) / x-6
Dividing the expression between x-6 we have:
quotient: 2x ^ 2 + 10
remainder: - 48
We can check the result then rewriting the expression:
2x ^ 3-12x ^ 2 + 10x-108
= (2x ^ 2 + 10) * (x-6) - 48
= (2x ^ 3 + 10x - 12 x ^ 2 - 60) - 48
= 2x ^ 3-12x ^ 2 + 10x-108
Division OK.
Answer:
The result of the division is:
quotient: 2x ^ 2 + 10
remainder: - 48
Answer:
D(600)=5
Step-by-step explanation:
since the x axis represents the distance that corresponds to the time on y axis
600 meters correspond to 5 minutes
Answer:
17.3 cigarettes represent the 35th percentile
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:

What number of cigarettes would represent the 35th percentile?
This is the value of X when Z has a pvalue of 0.35. So it is X when Z = -0.385.
So




17.3 cigarettes represent the 35th percentile
I’m gonna say that the answer is 5: 14
Answer:
18 apples
Step-by-step explanation:
If 18 people each get 12 apples, then the total number of apples is 18*12=216.
If there were 6 fewer people, there would 18-6=12 people.
To split the total 216 apples between 12 people, so 216/12=18.
Each person would get 18 apples.