Answer:
The removed number is 16
Step-by-step explanation:
Five numbers have a mean of 12.
Now;
Mean = Σx/x
Thus; Σx = 12 × 5 = 60
Now,we are told that if one number is removed, the mean is 11.
Thus;
(60 - x)/4 = 11
60 - x = (11 × 4)
60 - x = 44
x = 60 - 44
x = 16
Thus,the removed number is 16
Answer:
(a)
The function f is continuous at [1,e] and differentiable at (1,e), therefore
the mean value theorem applies to the function.
(b)
= 1.71828
Step-by-step explanation:
(a)
The function f is continuous at [1,e] and differentiable at (1,e), therefore
the mean value theorem applies to the function.
(b)
You are looking for a point
such that

You have to solve for
and get that
= 1.71828
Answer:

Step-by-step explanation:
For the first one, in any triangle, we have the sum of two sides is greater than the third side. Hence, we have 3 inequalities:
, which give us
. We conclude that
.
For the second question, we have
, and similarly we can show that
. Hence,
.
The third question is not very clear.
Answer:
From these examples, we can conclude, we will get a whole number when we divide if the numerator of the fraction is a factor of the whole number
Step-by-step explanation:
Lets look at a couple of examples
Example 1
4 ÷ 1/3
Copy dot flip
4 * 3/1 = 12
Whole number
Example 2
2 ÷11/12
Copy dot flip
2 * 12/11
24/11
11 goes into 24 2 times
11*2 = 22
24-22 =2
11 goes into 24 2 times with 2 left over, The left over goes over the denominator.
2 2/11
2 2/11 is a mixed number not a whole number
Example 3
8 ÷2/11
Copy dot flip
8 * 11/2
88/2
44
From these examples, we can conclude, we will get a whole number when we divide if the numerator of the fraction is a factor of the whole number
Answer: A
Step-by-step explanation:

We need to get this form: 
we need to begin by isolating y on the left side. To do this, we must subtract 4x.

Rewrite it so that we get this form: 

Since y needs to be completely isolated, divide by 4.

Divide;
