Answer:
Direct Variation
Step-by-step explanation:
The relationship between two variables such that y = kx if k is a nonzero number. Also, as one quantity increases, the second quantity increases or as one quantity decreases, the second quantity decreases. Therefore ac=5 is a direct variation
It will take 1/2 an hour because if 1/2 of a wall is painted with 1/4 of an hour, then we know if you want the other half, you have to add another 1/4 of an hour which is 2/4.
2/4 is equivalent to 1/2 so 1\2 of an hour is how long it will take.
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Answer:
15
Step-by-step explanation:
7-(-1) is 8
8 divided by 4 (x or “run” of slope) is two
Two times five (y/rise of slope) is ten
5 (from original point -1,5) plus 10 is 15
(7,15)
Step-by-step explanation:
We define 3 events
A = event that driver is above speed limit
B = event that driver is below limit
T = event that the gun detected him
At 95%
P(A) = 1-0.95 = 0.05
P(B) = 0.95
P(T|A) = 0.98
P(A|T) = 0.02
P(T|B) = 1-0.99 = 0.01
P(B|T) = 0.99
1. For answer a
P(TnA) = P(A) x P(T|A)
= 0.05 x 0.98
= 0.049 is the probability gun detected speeding and the driver was speeding
2. For answer b
P(TnB) = P(B) x P(T|B)
= 0.95x0.01
= 0.0095 is probability that gun deects speeding and driver was not speeding
3. For answer c
We solve this using bayes theorem
P(B|T) = P(B) x P(T|B) / (P(B)*P(T|B)) + (P(A) +P(T|A))
= 0.095x0.01 divided by (0.95x0.01)+(0.05*0.98)
= 0.0095 divided by 0.0585
= 0.16239
= 0.1624 to 4 decimal places.