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ozzi
4 years ago
13

The Boston marathon is a very competitive race. To qualify for the Boston marathon, male runners must have completed a marathon

in less than 3 hours and 5 minutes within the last year. Other marathons, such as the Chicago marathon, have no qualifying times. Anyone is able to run this race, even without completing a different marathon earlier in the year. Consider the groups of runners of each race: Boston marathon runners and Chicago marathon runners. Which group's finishing times for the marathon would most likely have the larger standard deviation?
Mathematics
1 answer:
lilavasa [31]4 years ago
4 0

Answer:

Chicago marathon runners

Step-by-step explanation:

Due to the strict qualifying time, the runners of the Boston marathon are going to very prepared, and quite close in their times. Since they are going to be close, the standard deviation is expected to be small.

Otherwise, in the Chicago marathon, anyone can run. This means that along with the professional runners, who are going to be very prepared, other unprepared runners will compete, and they are going to take a long time to complete the race, adding variation to the finishing times. The standard deviation is the square root of the variance, so since the variance for the Chicago marathon will be higher, the standard deviation also will

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A rectangular field is to be enclosed by a fence and divided
Phantasy [73]

Answer:

80000 square meters

Step-by-step explanation:

perimeter + dividing fence = 800

let a = length

let b = width

let c = length of dividing fence

perimeter = 2*a + 2*b

let's say...

c is the same as the length

2a + 2b + c = 800

2a + 2b + a = 800

3a + 2b = 800

area = length*width

area = a*b

area / b = a

3*(area/b) + 2b = 800

3*(area/b) = 800 - 2b

area/b = (800 - 2b)

area = (800 - 2b)*b

To make the area large, we make the right hand side large.

800b - 2b^2

If you put in terms of x, y it looks like a downward opening parabola, so the max area is at the vertex. Half way between the roots.

y = -2x^2 + 800x

y = -x^2 + 400x

0 = x*(-x + 400)

roots are x= 0 and x = 400

vertex is at x, aka b = 200

area at b=200 is (800 - 400)*200 = 80000

and a is area/b... 80000/400 = 200

5 0
3 years ago
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Paha777 [63]

Answer:

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8 0
4 years ago
Read 2 more answers
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Colt1911 [192]
Do a proportion.
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6 0
3 years ago
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tatyana61 [14]

Answer:

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In geography, 'Elevation' is measured in relation to sea level, so sea level would be zero.

Thus, Chicago is 600 feet above sea level and Seely, California is 200 feet below sea level.

If there were nothing but flat land all the way from Seely to the ocean, sea water would come in and cover Seely. Fortunately for the people in Seely. California's coastal mountain range is between the town and the ocean, so that does not happen.

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The slope represents the how fast the bird is climbing and the Y intercept represents where the bird started to climb
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