Answer:
Choice C
Step-by-step explanation:
Notice that the equation y = 0.5 x + 5
is a linear equation so the points that are solutions of it must reside on a line. Option A does not show aligned points, so it cannot be a possible answer.
Option B: we look into the given points and notice that just the first one (1, 0) is NOT a solution to the equation because:
y = 0.5 (1) + 5 = 5.5 and not "0"
Option C: This is the correct answer, since all those points satisfy the equation
Point (2, 6) --> y = 0.5 (2) + 5 = 1 + 5 = 6
Point (4, 7) --> y = 0.5 (4) + 5 = 2 + 5 = 7
Point (6, 8) --> y = 0.5 (6) + 5 = 3 + 5 = 8
Answer: 0.20833
Step-by-step explanation:
This is a case of inverse probability.
We first determine the probability that an item is defective generally.
To do this we sum the possible options of having the item produced from the first machine and is defective or having the item produced by the second machine and is defective or having the item produced by the third machine and is defective.
Mathematically,this becomes :
(0.2 * 0.05) + (0.3 * 0.03) + (0.5 * 0.01)
0.01 + 0.009 + 0.005 = 0.024.
Probability an item is defective in general = 0.024
Probability a third machine produces a defective item = 0.5 * 0.01 = 0.005.
Hence, given that the item is defective, the probability that it was produced by the third machine becomes:
= (probability of the item being produced from the third machine and is defective) / (probability of the item being defective in general)
= 0.005/0.024
= 0.20833.
Answer:
a = 3, b = -1
Step-by-step explanation:
a = 5b + 8
a = -10b - 7
5b + 8 = -10b - 7
Add 10b from both sides;
15b + 8 = -7
Subtract 8 from both sides;
15b = -15
Divide both sides by 15;
b = -1
Lets substitute b;
a = 5b + 8
a = 5(-1) + 8
a = -5 + 8
a = 3
Answer:
0.79432823472
Step-by-step explanation:
