Julio is running a 13.1 mile race there are water stops every 2.75 miles along the route from the beginning of the race. What is
2 answers:
Answer:
Distance between last water stop and the end point is 2.1 miles.
Step-by-step explanation:
Julio is running a race = 13.1 miles
Distance at which water stops are located = 2.75 miles
Number of water stops between the starting point and end point =
= 4.764
That means initial 4 water stops are at equal distance of 2.75 miles while distance between last water spot and finishing point is less.
Distance from starting point and last water stop = 4×2.75 = 11 miles
Therefore, distance between last water stop and end point = 13.1 - 11
= 2.1 miles
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Answer:
μ = 5.068 oz
Step-by-step explanation:
Normal distribution formula to use the table attached
Z = (x - μ)/σ
where μ is mean, σ is standard deviation, Z is on x-axis and x is a desired point.
98% of 6-oz. cups will not overflow means that the area below the curve is equal to 0.49; note that the curve is symmetrical respect zero, so, 98% of the cases relied between the interval (μ - some value) and (μ + some value)].
From table attached, area = 0.49 when Z = 2.33. From data, σ = 0.4 oz and x = 6 oz (maximum capacity of the cup). Isolating x from the formula gives
Z = (x - μ)/σ
2.33 = (6 - μ)/0.4
μ = 6 - 2.33*0.4
μ = 5.068
This means that with a mean of 5 oz and a standard deviation of 0.4 oz, the machine will discharge a maximum of 6 oz in the 98% of the cases.
