The value of x is
-4x + 8 = 42
-4x = 42 -8
-4x = 34
x = -8,5
Can you take a picture please?
Answer:
Step-by-step explanation:
Parallel lines. A & B are corresponding angles and corresponding angles are equal.
∠A = ∠B
8x - 8 = 5x + 25
Add 8 to both sides
8x - 8 + 8 = 5x + 25 + 8
8x = 5x + 33
Subtract 5x from both sides
8x - 5x = 5x +33 - 5x
3x = 33
Divide both sides by 3
3x/3 = 33/3
x = 11
∠B = 5x + 25 = 5*11 + 25 = 55 +25 = 80
∠B = 80°
Let A represents the event that DVD has a video effect.
So,
P(A) = 1.5 %
Let B represents the event that DVD has a audio defect.
So,
P(B) = 0.8 %
A ∩ B represents that DVD has both audio and video defect.
So,
P(A∩B) = 0.4%
Part a)
A ∪ B represents that DVD has a video or audio defect.
P(A∪B) = P(A)+P(B)-P(A∩B) = 1.5 + 0.8 - 0.4 = 1.9%
Thus the probability that the DVD purchased by the customer has a video or audio defect is 1.9%.
Part b)
The complement of P(A∩B) will represent the probability that the DVD does not have video or audio defect.
So, the probability that DVD purchased by customer does not have video or audio defect is 1 - 0.4 = 0.96%