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

a function could be identified in 3 ways either on a chart,graph, or ordered pairs. first a function is that each point has its own. the rule is that there can be many x's to one y but there can not be 2 x's at different y's. so on a graph when you put a straight line through the y's there should be one dot only to be a function.

step-by-step explanation:

step-by-step explanation:

use pothagarean therom

a^2+b^2=c^2 so first ac

acm is a right triangle because c= 90°

and am (the hypotenuse or c) =16+9 =25

but there is not enough info we need another angle or side length