Answer with Step-by-step explanation:
We are given that if f is integrable on [a,b].
c is an element which lie in the interval [a,b]
We have to prove that when we change the value of f at c then the value of f does not change on interval [a,b].
We know that limit property of an integral

....(Equation I)
Using above property of integral then we get
......(Equation II)
Substitute equation I and equation II are equal
Then we get



Therefore,
.
Hence, the value of function does not change after changing the value of function at c.
There would be 60 questions on the test.
90%=54
1%= 54/90 = 6/10
100%= 6×100/10 =6×10=60
Answer:
0.4394
Step-by-step explanation:
given that an auto parts store is examining how many items were purchased per transaction at the store as compared to their online website
The data is shown below:
Frequency Frequency*Midpt
Midpt Online Total Online Total
1-3 2 40 147 80 294
4-6 5 60 103 300 515
7-9 8 15 32 120 256
10-12 11 5 18 55 198
120 300 555 1263
Thus we find total items purchased on line = 555
and total items overall purchased = 1263
Hence the probability that a randomly selected item was purchased online
=
Step-by-step explanation:
2;6 -> 6; -2
4;4 -> 4 ; -4
6;8 -> 8; -6
sorry English isn't my first language so I can't explain it :((
2x + 4(x - 1) = 2 + 4x
2x + 4x - 4 = 2 + 4x
6x - 4 = 2 + 4x
6x - 4x = 2 + 4
2x = 6
x = 6/2 = 3
x = 3
=> x has one solution.