Answer:
g(x) = -2x - 5
2x becomes -2x as a reflection across the y-axis
add on -5 to shift the function 5 units down
<span>6x+7=6
Subtract both sides by 7
</span>6x+7-7=6-7
6x=-1
Divide both sides by 6 to isolate x
6x/6=-1/6
x=-1/6
Minor arc AD is 360° -124° -78° = 158°. Then angle ABD is
(158° -78°)/2 = 40°
The appropriate selection is
C) 40°
Answer:
The probability that a product is defective is 0.2733.
Step-by-step explanation:
A product consists of 3 parts. If any one of the part is defective the whole product is considered as defective.
The probability of the 3 parts being defective are:
P (Part 1 is defective) = 0.05
P (part 2 is defective) = 0.10 P (part 3 is defective) = 0.15
Compute the probability that a product is defective as follows:
P (Defective product) = 1 - P (non-defective product)
= 1 - P (None of the 3 parts are defective)
= 1 - P (Part 1 not defective) × P (Part 2 not defective) × P (Part 1 not defective)
![=1-[(1-0.05)\times(1-0.10)\times (1-0.15)]\\=1-[0.95\times0.90\times0.85]\\=1-0.72675\\=0.27325\\\approx0.2733](https://tex.z-dn.net/?f=%3D1-%5B%281-0.05%29%5Ctimes%281-0.10%29%5Ctimes%20%281-0.15%29%5D%5C%5C%3D1-%5B0.95%5Ctimes0.90%5Ctimes0.85%5D%5C%5C%3D1-0.72675%5C%5C%3D0.27325%5C%5C%5Capprox0.2733)
Thus, the probability that a product is defective is 0.2733.
Answer:
x = y - 6
Step-by-step explanation:
y = x + 6 (Given)
y - 6 = x (Subtracted 6 on both sides)