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)) :
![\frac{10000-1159}{10000} \\\\=0.8841](https://tex.z-dn.net/?f=%5Cfrac%7B10000-1159%7D%7B10000%7D%20%5C%5C%5C%5C%3D0.8841)
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
![= \frac{|B| - |AandB| }{|U|}\\\\= \frac{751-316 }{10000}\\\\= 0.0435](https://tex.z-dn.net/?f=%3D%20%5Cfrac%7B%7CB%7C%20-%20%7CAandB%7C%20%7D%7B%7CU%7C%7D%5C%5C%5C%5C%3D%20%20%5Cfrac%7B751-316%20%7D%7B10000%7D%5C%5C%5C%5C%3D%200.0435)
Answer:
y/x = 2.5
Step-by-step explanation:
y ∝ x
change ∝ to = by adding constant k or c
y = kx
Divide both sides by x
y/x = k, also k = y/x
Input the values
k = (7 1/2)/3. Change 7 1/2 to improper fraction to give 15/2
k = (15/2)/3
k =
÷ 3
Change the division sign to multiplication which will change 3 to its inverse(1/3)
k =
× ![\frac{1}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3%7D)
k = ![\frac{15}{6}](https://tex.z-dn.net/?f=%5Cfrac%7B15%7D%7B6%7D)
Divide the numerator and denominator by 3 to get 5/2
k = 5/2
From y/x = k,input k into the eqn
y/x = 5/2
y/x = 2.5
Answer:
-6r+6
Step-by-step explanation:
Given data
We are given the expression
8-(6r+2)
let us expand it by opening the bracket
=8-6r-2
collect like terms
=8-2-6r
=6-6r
rearrange
=-6r+6
Hence option A is correct
I think the answer is 43.2 degrees
46, 16 is a little less than 1/2 of 34, so and 46 is a little less than 1/2 of 100.