Answer:
x = 48
Step-by-step explanation:
multiply both sides of the equation by 4 to eliminate the fraction
x - 8 = 40 ( add 8 to both sides )
x = 48
The probability that you will wait for at most 5 seconds is 6.7%
<h3>How to determine the probability?</h3>
The given parameters are:
Green = 40
Yellow = 5
Red = 30
When you spend a maximum of 5 seconds, it means that you get to the traffic light at the yellow cycle.
The probability is then calculated as:
P(Yellow) = 5/(40 + 5 + 30)
Evaluate
P(Yellow) = 6.7%
Hence, the probability that you will wait for at most 5 seconds is 6.7%
Read more about probability at:
brainly.com/question/15246027
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P(<100) = P((new or change) & <100) = P(new & <100) + P(change & <100)
... = P(<100 | new)*P(new) + P(<100 | change)*P(change)
... = 0.90*0.70 + 0.20*0.30
... = 0.63 + 0.06 = 0.69 . . . . probability of completing a transaction in < 100 ms
Answer:
129 points
Step-by-step explanation:
Let L and C represent the scores of Luke and Caleb, respectively.
L = 2C -15 . . . . . Luke scored 15 less than twice the number Caleb did
L +C = 201 . . . . . they scored 201 points altogether
Add twice the second equation to the first:
2(L +C) + (L) = 2(201) + (2C -15)
3L +2C = 387 +2C . . . . simplify
3L = 387 . . . . . . . . . . . . .subtract 2C
L = 387/3 = 129 . . . . . . .divide by 3
Luke scored 129 points.
