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son4ous [18]
3 years ago
8

A section of a railway has a slope of approximately 0.47. In this section, a vertical change of 1 unit corresponds to a horizont

al change of what length? Round your answer to the nearest hundredth.
Mathematics
1 answer:
ioda3 years ago
7 0

Step-by-step explanation:

A slope of 0.47 means that, for every 100 feet of horizontal change, the vertical rise = 47 feet

We can use a proportion here

0.47 / 1 = 1 / x

Cross-multiply

0.47x = 1*1

0.47x = 1

Divide both sides by 0.47

x = about 2.13 units

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Find 0% of 132: 0
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Suppose that the value of a stock varies each day from $10.82 to $25.17 with a uniform distribution. Find the third quartile, i.
Zarrin [17]

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Let a be the stock value such that P(x<a) =75% or 0.75

\Rightarrow\ \int ^{a}_{10.82}f(x)\ dx=0.75\\\\\Rightarrow\ \int ^{a}_{10.82}\dfrac{100}{1435}\ dx=0.75\\\\\Rightarrow\dfrac{100}{1435}[x]^{a}_{10.82}=0.75\\\\\Rightarrow \dfrac{100}{1435}(a-10.82)=0.75\\\\\Rightarrow a-10.82=0.75\times\dfrac{1435}{100}\\\\\Rightarrow a-10.82=10.7625\\\\\Rightarrow a= 10.7625+10.82= $$21.5825\approx $$21.58

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