Answer:
Answer is the first choice.
Step-by-step explanation:
A logarithmic graph is the opposite of an exponential growth graph, so the first option is the only one that fits. Just took the test and the first choice is correct.
4x + y = -1
y = -4x -1
slope of the parallel line
m = -4
General equation of the parallel line
y = -4x + c
if this passes through (5,0)
0 = (-4*5) + c
c = 20
so the equation is
y = -4x + 20
I graphed the formula in the problem in Desmos and the highest point in the graph was (4.5,474) and we need the y value for the height so, the anwser will be 474 feet into the a r was the highest point.
A. If the slopes of two lines are negative then the reciprocals, of the lines are perpendicular.
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.