Michael goes through the same traffic light each day on his way home from work. This year, the traffic light has been green 28 times, red 35 times, and yellow y times when he drives upto it. Michael uses the probability of traffic light being yellow to predict that 16 of the next 100 times he reaches the traffic light, it will be yellow. What is the value of y?

y = 12

Step-by-step explanation:

Given

Green = 28

Red = 35

Yellow = y

Prediction of yellow = 16 of 100

Required

Determine y

First, we need to calculate the probability of yellow.

Probability of yellow =

Probability = Yellow/Total

Where

Total = Yellow + Red + Green

Total = y + 35 + 28

Total = y + 63

So,

Probability = y/(y + 63)

Also, the prediction of yellow is 16 out of 100.

Represent this as probability.

Probability = 16/100

Equate both expressions to solve for y

y/(y + 63) = 16/100

y/(y + 63) = 0.16

Multiply both sides by (y + 63)

y = 0.16(y + 63(

y = 0.16y + 10.08

Collect like terms

y - 0.16y = 10.08

0.84y = 10.08

Solve for y

y = 10.08/0.84

y = 12

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step-by-step explanation:

“ a line segment that has the endpoints on the circle and passes through the midpoint is called the diameter. the diameter is twice the size of the radius. a line segment that has its endpoints on the circular border but does not pass through the midpoint is called a chord. a circle is the same as 360 small circle up the number 0 . i hope this .