The times it takes runners to complete a certain marathon are normally distributed with a mean of 4.6 hours and a standard deviation of 1.1 hours.

What is the time for a runner with a z-score of −1.2 ?

Enter your answer, rounded to the nearest hundredth, in the box.

3.28 hours

Step-by-step explanation:

Since the times it takes runners to complete a certain marathon are normally distributed, we would apply the formula for normal distribution which is expressed as

z = (x - µ)/σ

Where

x = time for a runner.

µ = mean time

σ = standard deviation

From the information given,

µ = 4.6 hours

σ = 1.1 hours

The z-score is - 1.2

Therefore,

- 1.2 = (x - 4.6)/1.1

Cross multiplying by 1.1, it becomes

1.1 × - 1.2 = x - 4.6

- 1.32 = x - 4.6

x = - 1.32 + 4.6

x = 3.28 hours to the nearest hundredth

step-by-step explanation:

y = | -2(-2) |     →     y = | 4 |     →     y = 4       ⇒   (-2, 4)

y = | -2(-1) |     →     y = | 2 |     →       y =   2       ⇒   (-1, 2)    

y = | -2(0) |     →     y = | 0 |     →       y = 0         ⇒   (0, 0)

y = | -2(1) |   c →     y = | -2 |     →     y =   2         ⇒   (1, 2)    

y = | -2(2) |     →     y = | - 4 |     →     y =   4         ⇒   (2, 4)  

answer: sherk

step-by-step explanation:

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