When Isaac commutes to work, the amount of time it takes him to arrive is normally distributed with a mean of 44 minutes and a standard deviation of 5 minutes. Using the empirical rule, determine the interval that represents the middle 95% of his commute times.

[34,54]

Step-by-step explanation:

-The empirical rule states that the 95% of the sampled observations will fall within two standard deviations of the mean for a normally distributed population.

Where:

-Therefore. the middle 95% interval is calculated as:

Hence, the interval is [34,54]

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)

the answer is y = 11.54

hope this : )