Answer:
a
The probability that the selected joint was judged to be defective by neither of the two inspectors is 
b
The probability that the selected joint was judged to be defective by inspector B but not by inspector A is 
Step-by-step explanation:
From the question we are told that
The sample size is 
The number of outcome for inspector A is 
The number of outcome for inspector B is 
The number of joints judged defective by both inspector is 
The the probability that the selected joint was judged to be defective by neither of the two inspectors is mathematically represented as

Now

substituting values

So


the probability that the selected joint was judged to be defective by inspector B but not by inspector A is mathematically represented as

Now

substituting values

So


Answer:
an =6n
Step-by-step explanation:
6, 12, 18, 24
Take the 2nd number minus the first number, 3rd minus the second, etc
12-6 =6
18-12 = 6
24-18 =6
The common difference is 6
The formula for an arithmetic sequence is
an =a1+d(n-1)
where a1 is the first term
d is the common difference
n is the term number
an = 6+6(n-1)
Distributing
= 6+6n-6
= 6n
Polygon A,B,C,D,E and polygon L,M,N.O.K
Answer:
- 
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope (gradient) and c the y- intercept )
Given
2y = - 3x - 8 ( divide all terms by 2 )
y = -
x - 4 ← in slope- intercept form
with gradient = - 
Answer:
16.25$
Step-by-step explanation:
4.25 times 3 = 12.75
vase- 3.50
12.75 + 3.50 = 16.25$
with 3.25$ left.