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Leviafan [203]
1 year ago
7

What is the dependent variable in y=x+12

Mathematics
1 answer:
erma4kov [3.2K]1 year ago
8 0

The independent variable is x

y is dependent on the value of x

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Y’all someone help pls 5x-3=21-x
attashe74 [19]
5x-3=21-x
6x=24
X=4

You simply have to isolate the variable and then divide by 6 so that x is completely alone.
7 0
3 years ago
Read 2 more answers
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
About plants:
melisa1 [442]
<h2><em><u>plants are </u></em><em><u>very helpful</u></em><em><u> because we get </u></em><em><u>ox</u></em><em><u>ygen</u></em><em><u> from plants to inhale and </u></em><em><u>Excel</u></em><em><u> carbon dioxide which is unsuitable for a good</u></em><em><u> environment</u></em><em><u> </u></em><em><u>plants inhale carbon dioxide and consumed at and XL oxygen which we inhale carbon dioxide is a major reason for global warming</u></em><em><u> and plants are very helpful in our life because if there are no plants = no life</u></em><em><u> because no</u></em><em><u> oxygen</u></em></h2>

6 0
3 years ago
Ben rolls a wheel with a diameter of 1 meter through one complete revolution from point M to point P. About how far did Ben roll
yaroslaw [1]

Answer:

c

Step-by-step explanation:

i think c but not sure

6 0
3 years ago
Plz help i need this soon​
wlad13 [49]

Answer:

b= (m)(-150)

Step-by-step explanation:

1800-1350 = 450

450/3 = 150

b= m*-150

7 0
3 years ago
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