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Stolb23 [73]
3 years ago
5

Y= x-v b Solve for x

Mathematics
1 answer:
Naily [24]3 years ago
3 0

Answer:

y+v = x

Step-by-step explanation:

just add v to the other side

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It takes 59 earth days to rotate and 88 earth days to fully orbit the sun
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rodikova [14]

8-5=3 : This means you add three each time

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4 0
3 years ago
Show that if X is a geometric random variable with parameter p, then
Lubov Fominskaja [6]

Answer:

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

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:"

P(X=x)=(1-p)^{x-1} p

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

X\sim Geo (1-p)

In order to find the expected value E(1/X) we need to find this sum:

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:

\int_{0}^b \frac{1}{1-r}dr=-ln(1-b)

And for the next step we have:

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

And with this we have the requiered proof.

And since b=1-p we have that:

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

4 0
3 years ago
The wavelength of red light in a spectrum is about 0.0000007 meters. Which
Nana76 [90]

Answer:

0.0000007

And if we count the number of zeros before the number 7, we can rewrite the number like this:

7x10^{-7}

We cansolve this problem also counting the number of positions that we need to move the decimal point to the right in order to obtain the first number (7)

And the best option would be:

B. 7 x 10-7

Step-by-step explanation:

For this case we have the following number given:

0.0000007

And if we count the number of zeros before the number 7, we can rewrite the number like this:

7x10^{-7}

We cansolve this problem also counting the number of positions that we need to move the decimal point to the right in order to obtain the first number (7)

And the best option would be:

B. 7 x 10-7

8 0
2 years ago
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