Answer:
a) P(A) = 0.09
b) P(A') = 0.91
c) P(B|A) = 0.4
d) P(B/A') = 0.05
e) P(A ∩ B) = 0.036
f) P(A ∩ B') = 0.054
g) P(B) = 0.0815
Step-by-step explanation:
Let A mean batch is made from two different lots and B mean batch requires additional processing
It is given in the question that
P(A) = 0.09
P(B|A) = 0.4
P(B|A') = 0.05
a) P(A) = 0.09 (given)
b) P(A') = 1-0.09 = 0.91
c) P(B|A) = 0.4 (given)
d) P(B|A') = 0.05 (given)
e) P(A ∩ B) = P(B|A) × P(A) = 0.4 × 0.09 = 0.036
f) P(A ∩ B') = P(A) - P(A ∩ B) = 0.09 - 0.036 = 0.054
g) P(B) = P(A ∩ B) + P(A' ∩ B)
P(B) = P(B|A) P(A) + P(B|A') P(A') = 0.4 × 0.09 + 0.05 × 0.91 = 0.0815
QED!
Note: It seems the first term of your sequence is 7 instead of 2. So, I am assuming you meant the sequence such as;
7, 12, 17, 22, 27
Answer:
The expression for the nth term of the givens sequence is:
Step-by-step explanation:
Given the sequence
7, 12, 17, 22, 27
Here, the first element of the sequence is:
An arithmetic sequence has a constant difference 'd' and is defined by
computing the differences of all the adjacent terms
The difference between all the adjacent terms is the same and equal to
so substituting d = 5 and in the nth term to determine the expression
Therefore, the expression for the nth term of the givens sequence is:
The changed pentagon maps back onto itself only one time, when the value of α is 360°. A polygon must be regular to map back onto itself more than once. In a regular polygon, all of the sides are equal and all of the angles are equal.
Step-by-step explanation:
The shaded region in gray appears to be above the dashed line. So that means the inequality sign is > (greater than sign)
The line goes through the y intercept of (0,3). The slope is -5 indicating we move down 5, over to the right 1.
The boundary line is dashed to exclude the boundary from the solution set
The final answer is choice C
Answer:
6x+9y+10
Step-by-step explanation:
just combine like terms
