The time required for a citizen to complete the 2010 u. s. census ""long"" form is normally distributed with a mean of 40 minutes and a standard deviation of 10 minutes. what is the third quartile (in minutes) for the time required to complete the form?

46.75 minutes

Step-by-step explanation:

Mean time (μ) = 40 minutes

Standard deviation (σ) = 10 minutes

The third quartile is at the 75th percentile of a normal distribution. According to a z-score table, the corresponding z-score for the 75th percentile is z=0.675.

The z-score for any given time, 'X', is:

The third quartile for the time required to complete the form is:

the answer would be 44.79

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step-by-step explanation:

1,407.5 hours

step-by-step explanation:

we first convert all the time to hours and then sum them up.

there are 24 hours in 1 day, in 58 days, there are 24 x 58 = 1,392 hours.

there are 60 minutes in 1 hour, thus, 30 minutes will be equivalent to 30 / 60 = 0.5 hours.

therefore, the number of hours it will take mercury to complete a full rotation is 1,392 + 15 + 0.5 = 1,407.5 hours