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jim began a 219-mile bicycle trip to build up stamina for a triathlon
competition. unfortunately, his bicycle chain broke, so he finished the
trip walking. the whole trip took 8 hours. if jim walks at a rate of 4
miles per hour and rides at 38 miles per hour, find the amount of time
he spent on the bicycle.

The total is 219 miles.

He rides at 38 mph and walks at 4 mph for 8 hours. If he rides for h hours, he walks for 8-h hours.

Set them equal to each other:

219=38h+4(8-h)

Solve and you should get 5.5 hours on the bicycle and 2.5 hours walking.

d. 24+-0.114

step-by-step explanation:

the question requires us to calculate the approximate 95% confidence interval for the mean number of ounces of ketchup per bottle in the sample given the following statistics;

sample mean = 24

standard deviation, σ = 0.4

sample size , n = 49

the confidence interval for a population mean is calculated using the formula;

sample mean ± z-score*(σ/sqrt(n))

the z-score associated with a 95% confidence interval, from the standard normal tables, is;

1.96

substituting these values into the formula;

24 ± 1.96*(0.4/7)

= 24 ± 0.112

from the alternatives given, choice d is closest to the above expression;