Answer:
<em>19</em>
Step-by-step explanation:
has a factor
and
when divided by
, remainder is 20.
To find:Remainder when divided by (x-1) ?
Solution:
is a factor
when we put this value of x to the function, it will become 0.
i.e.

Remainder is 20 when f(x) is divided by 
i.e.


Solving (1) and (2), Multiply equation (1) by 2 and adding to (2):

By equation (1):

So, the equation becomes:


So, when divided by (x-1), remainder will be <em>19</em>.
The first part is 1325
10 x 35=350
15 x 65=975
The you add them which equals 1325
3.1
......................
Answer:
The minimum score needed to be considered for admission to Stanfords graduate school is 328.48.
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 is the minimum score needed to be considered for admission to Stanfords graduate school?
Top 2.5%.
So X when Z has a pvalue of 1-0.025 = 0.975. So X when Z = 1.96




The minimum score needed to be considered for admission to Stanfords graduate school is 328.48.