Answer:
a) 0.8841
b) 0.0435
Step-by-step explanation:
A : the set of joints deemed defective by inspector A.
B: the set of joints deemed defective by inspector B.
U: the set of all joints.
The problem says |A|=724, |B|=751, |A∪B|=1159, |U|=10000. Hence, with the help of Venn diagram we can answer the following:
Part a)
This asks for the number of joints that are ∉(A∪B).
hence,
P (∉(A∪B)) :

part b)
This asks for the number of joints that are in B but not in A, which Is represented as the set B−A

Answer:
The third option
Step-by-step explanation:
This is because you plug in 1 as a test into each of the equations and see if it equals to 12.25. It works for the third option. To verify that you can also plug in different x values and see if they match the y value.
Answer:
r = -6
Step-by-step explanation:
6(r - 8) = 8r - 36
distribute 6 into r - 8
6r - 48 = 8r - 36
add 36 to both sides
6r - 12 = 8r
subtract 6r from both sides
-12 = 2r
divide by 2 on both sides
-6 = r

the va's are where x is undefined, or where the denomenator is zero
first simplify if applicable
cannot simplify
set denom to zero
2x-5=0
2x=5
x=2.5
the vertical assemtote is vertical so it is x=2.5 or 5/2
the VA is x=5/2
Answer:
19
Step-by-step explanation:
12-n/7 = -1
Cross multiply
We have 12-n = -7
Collect like terms
12 + 7 = n
Therefore n = 19