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BaLLatris [955]
2 years ago
14

In 2000, 900 students played soccer. In 2001, 180 additional students played. How many students must play soccer in 2002 for the

percent of increase from 2001 to 2002 to be the same as it was from 2000 to 2001?
Mathematics
1 answer:
Cloud [144]2 years ago
7 0

Answer:

The answer to your question is:  1296

Step-by-step explanation:

Data

2000   --------- 900 students

2001   ---------- 180

2002  ----------   ?

                               900 students ---------------- 100%

                               180 students  ----------------   x

                                x = (180 x 100) / 900

                                x = 20%

                               1080 students -------------  100 %

                               x                       -------------     20%

                               x = (20 x 1080) / 100

                              x = 216

                             

Total number of students = 1080 + 216 = 1296

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Answer:

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3 years ago
Show that if X is a geometric random variable with parameter p, then
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Answer:

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Step-by-step explanation:

The geometric distribution represents "the number of failures before you get a success in a series of Bernoulli trials. This discrete probability distribution is represented by the probability density function:"

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Let X the random variable that measures the number os trials until the first success, we know that X follows this distribution:

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E(X)=\sum_{k=1}^{\infty} \frac{p(1-p)^{k-1}}{k}

Lets consider the following series:

\sum_{k=1}^{\infty} b^{k-1}

And let's assume that this series is a power series with b a number between (0,1). If we apply integration of this series we have this:

\int_{0}^b \sum_{k=1}^{\infty} r^{k-1}=\sum_{k=1}^{\infty} \int_{0}^b r^{k-1} dt=\sum_{k=1}^{\infty} \frac{b^k}{k}   (a)

On the last step we assume that 0\leq r\leq b and \sum_{k=1}^{\infty} r^{k-1}=\frac{1}{1-r}, then the integral on the left part of equation (a) would be 1. And we have:

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\sum_{k=1}^{\infty} \frac{p(1-p)^{k-1}}{k}=-\frac{p ln p}{1-p}

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8 0
3 years ago
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Terrance claims that for the input coordinates (x, y), a rotation of 180° clockwise about the origin, followed by a reflection o
vodka [1.7K]

Answer:

Terrance is incorect.

Correct output coordinates (-y,-x)

Step-by-step explanation:

Let (x,y) be the input coordinates.

First translation is a rotation of 180° clockwise about the origin. This translation has a rule

(x,y)\rightarrow (-x,-y)

Second translation is a reflection over the line y = x. The general rule for the reflection across the line y=x has the rule

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When a sequence of two translations are applied to the initial input coordinates, then

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8 0
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astraxan [27]

I don't really get what the "35,000 feet university sea level" part is saying, but without it, the answer would be:

3.5 x 550 = 1,925

The plane traveled 1,925 miles.

And with it, the answer would be:

3.5 x 550 = 1,925

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1,925 + 6.6 = 1,931.6

The plane traveled 1,931.6 miles.

Hope this helped a little at least.

8 0
3 years ago
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