Answer:
1.5
Step-by-step explanation:
To find the mean, we must add all of our terms, and then divide by the number of terms.
Solve:
Since we have seven terms, we must divide our total (
), by seven.
÷ 
Solve:
÷ 
Therefore, the mean is 
Only two real numbers satisfy x² = 23, so A is the set {-√23, √23}. B is the set of all non-negative real numbers. Then you can write the intersection in various ways, like
(i) A ∩ B = {√23} = {x ∈ R | x = √23} = {x ∈ R | x² = 23 and x > 0}
√23 is positive and so is already contained in B, so the union with A adds -√23 to the set B. Then
(ii) A U B = {-√23} U B = {x ∈ R | (x² = 23 and x < 0) or x ≥ 0}
A - B is the complement of B in A; that is, all elements of A not belonging to B. This means we remove √23 from A, so that
(iii) A - B = {-√23} = {x ∈ R | x² = 23 and x < 0}
I'm not entirely sure what you mean by "for µ = R" - possibly µ is used to mean "universal set"? If so, then
(iv.a) Aᶜ = {x ∈ R | x² ≠ 23} and Bᶜ = {x ∈ R | x < 0}.
N is a subset of B, so
(iv.b) N - B = N = {1, 2, 3, ...}
Answer:
100
Step-by-step explanation:
plug in y
-108.5=-2.61x+152.51
add like sides
-261.01=-2.61x
divide
100.00383=x
rounded=100
Using the disk method, the volume is obtained with the integral
The radius of each disk is given by the horizontal distance from the axis of revolution, 
, to the logarithmic curve which we can write as a 
:
Then the volume of one such disk is 
.
The volume of the entire solid would be
