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Nitella [24]
3 years ago
14

At the Boston Marathon there were 20,000 runners who finished the race. Each runner ran a distance of 26 miles. If you add toget

her the total number of miles for all runners combined, how many times around the globe would the marathon runners have gone. Consider the circumference of the earth to be 2.5×104 2 . 5 × 10 4 miles.
Mathematics
1 answer:
andre [41]3 years ago
4 0

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:

D=Nd=(20,000)(26)=5.2\cdot 10^5 mi

We know that the circumference of the Earth is

c=2.5\cdot 10^4 mi

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:

n=\frac{D}{c}

And substituting the values, we find:

n=\frac{5.2\cdot 10^5}{2.5\cdot 10^4}=20.8

So, the runners have  gone 20.8 times around the globe all together.

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According to the manufacturer of the candy Skittles, 20% of the candy produced are red. If we take a random sample of 100 bags o
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Probability that the proportion in our sample of red candies will be less than 20% is 0.5 .

Step-by-step explanation:

We are given that 20% of the candy produced are red. A random sample of 100 bags of Skittles is taken.

The distribution we can use here is;

               \frac{\hat p - p}{\sqrt{\frac{\hat p (1- \hat p)}{n} } } ~ N(0,1)

where, p = 0.20 and n = 100

Let \hat p = proportion of red candies in our sample

So, P(\hat p < 0.20) = P(\frac{\hat p - p}{\sqrt{\frac{\hat p (1- \hat p)}{n} } } < \frac{0.20 - 0.20}{\sqrt{\frac{0.2 (1- 0.2)}{100} } } ) = P(Z < 0) = 0.5

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Answer:

x-intercept (s):

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x2 - 2x - 8 = 0

(x-4) * (x + 2) = 0

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y-intercept:

For this case x = 0

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vertex:

We derive the equation:

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We evaluate the function for x = 1

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The vertex is:

(1, -9)

axis of symmetry of the function:

x = 1

Step-by-step explanation:

hope it helps

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3 years ago
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