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

answer

a,b, and d

explanation

a reflection angle is more than

but less than;

an angle that measures

is a reflex angle.(true)

an angle that measures less than

is acute.(true)

provided we are considering angles greater or equal to zero.

an acute angle lies in the range.

an obtuse angle is less than 180° but more than 90°

an angle that measures 300° is obtuse (false)

an angle that measures 65° is an acute angle.(true)

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