Answer:
The new mean for the exam scores is 51
Step-by-step explanation:
the mean can be calculated using the formula
mean of scores = 
before the 20 points was added, the mean of the score was = 50.
Inserting this into the formula, we have:
50 = 
from this, we can compute the sum total of the scores as
sum total = 50 × 20 = 1000
when the extra 20 marks is added, the sum of the entire scores will be changed to 1000 + 20 = 1020.
Hence the new mean will be computed as (New Sum total of scores / Number of students)
= 
= 51.
∴ The new mean of the scores is = 51
To expand two terms such as these, we can use the method called FOIL (stands for First, Outer, Inner, Last). Here is what I mean:
We have two terms: (x - 2)(x - 1)
We should first multiply the First two terms of each term in order to complete the F stage:
(x)*(x) =
So then, we take the two outer terms and multiply them together to complete the O stage:
(x)*(-1) = -x
So far we have two things that we have calculated; at the end of the FOIL process we will have four.
To keep going with the FOIL, we now multiply the two inner terms to complete the I stage:
(-2)*(x) = -2x
Last but not least, we need to complete the L stage - so we multiply the two last terms of each term:
(-2)*(-1) = 2
Now that we have our four terms, let us add them together and combine like terms:
Since -x and -2x both have the x portion in common and they are added together, we can add them to create one single term:
-x + (-2x) = -3x
So now that we have our terms completed, we can combine into one polynomial equation:
or
Answer:
-2^(x-2)
Step-by-step explanation:
Using differential calculus:
We know that the integral of 1/x = ln(x)
or 2x/ln(2) = log2(x), so we plug in our knowledge and chain rule to figure out that the answer to the inverse is -2^(x-2) :)
2x4 + 2x2 = 32 because 2x4 equals 8 and then if you do 2x2 it equals 4.
multiply the two answers and get the answer to 8x4 which is 32.
The value of 18x + 9∆x - 7 based on the limit given will be 18x - 7.
<h3>How to calculate the value?</h3>
From the information given, it should be noted that we simply want to calculate the value of x.
This will be:
18x + 9∆x - 7
It was stated that ∆x = 0
Therefore, we'll put this into the equation.
This will be:
18x + 9∆x - 7
= 18x + 9(0) - 7
= 18x -7
Learn more about limit on:
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