Answer:
Step-by-step explanation:
Given
Required
Factorize
To start with; we need to group the expression into two
Factorize each grouped expression, using their common factor
From the list of given options;
Option A is correct
All of the following represent the same expression except
2 answers:
Answer:
Except: 25 less than 19
Step-by-step explanation:
This is a case where we basically refer to the same situation just defined in a different manner. In this case the problem refers to an amount 25 that becomes less by an amount of 19. This can be expressed as follow based on the given options:
Option A: 19 less than 25
This tells us that an amount is 19 less <u>than</u> 25
(i.e. )
Option B: 25 less than 19
This is <u>Incorrect </u>as it tells us that an amount is 25 less than 19
(i.e. thus
)
Option C: 19 subtracted from 25
This is the same as Option A, as it again tells as
Option D: 25 minus 19
This is the same as both Options A and C, as it again tells as
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Answer:
Step-by-step explanation:
Given:
The expression is:
It leaves the same remainder when divided by x -2 or by x+1.
To prove:
Solution:
Remainder theorem: If a polynomial P(x) is divided by (x-c), thent he remainder is P(c).
Let the given polynomial is:
It leaves the same remainder when divided by x -2 or by x+1. By using remainder theorem, we can say that
...(i)
Substituting in the given polynomial.
Substituting in the given polynomial.
Now, substitute the values of P(2) and P(-1) in (i), we get
Divide both sides by 3.
Hence proved.
Answer:
The sample mean is min.
The sample standard deviation is min.
Step-by-step explanation:
We have the following data set:
The mean of a data set is commonly known as the average. You find the mean by taking the sum of all the data values and dividing that sum by the total number of data values.
The formula for the mean of a sample is
where, is the number of values in the data set.
The standard deviation measures how close the set of data is to the mean value of the data set. If data set have high standard deviation than the values are spread out very much. If data set have small standard deviation the data points are very close to the mean.
To find standard deviation we use the following formula
The mean of a sample is .
Create the below table.
Find the sum of numbers in the last column to get.
