Madison leaves her house and bikes north at a constant speed of 10 miles per hour. If her dad leaves the same house two hours la
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Answer:
the runners have gone 20.8 times around the globe all together
Step-by-step explanation:
At the Bostom Marathon, we have a total of
N = 20,000 runners
We know that each runner ran a distance of
d = 26 miles
Therefore, the total distance travelled by all runners combined is:
We know that the circumference of the Earth is
Here we want to find how many times around the globe would the marathon runners have gone. This can be found by calculating the following ratio:
And substituting the values, we find:
So, the runners have gone 20.8 times around the globe all together.
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.
