Answer:B
Step-by-step explanation:
<span>image A′B′C′D′ is 5 times bigger than pre-image ABCD
scale factor = 5</span>
Answer:
-32
Step-by-step explanation:
f(x) = 2x + 6
f(-19) = 2*(-19) + 6
= -38 + 6
= -32
Answer: 140
Step-by-step explanation:
Angles 3 and 4 have equivalent degree values. Set them equal to each other: x + 30 = 2x - 80
Solve for x: add 80 to both sides
x + 110 = 2x
Then subtract x from both sides
110 = x. This is x, not the final answer. The question asks for the measure of angle 3.
To get the measure of angle 3, plug in 110 for x.
Instead of x + 30, calculate 110 + 30.
So, angle 3 is 140 degrees.
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!
