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3 years ago

Please help me guys I’m tired

Mathematics

1 answer:

liberstina [14]3 years ago

5 0

The slope is y=3x-7
a= y=3x-6 (or any number as long as the slope is same)
b = y=-1/3x -7

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Gre4nikov [31]

73 I believe I’m not sure

7 0

2 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

What is 6.1% in simplest fraction form?

timama [110]

Answer:

Find the GCD (or HCF) of numerator and denominator. GCD of 6 and 1 is 1.

6 ÷ 11 ÷ 1.

Reduced fraction: 61. Therefore, 6/1 simplified to lowest terms is 6/1.

5 0

3 years ago

Read 2 more answers

What does counterexample mean

Leno4ka [110]

an example that opposes or contradicts an idea or theory.

5 0

3 years ago

Which of the following describes a correct method for solving the equation below?

ladessa [460]

1: multiple both sides by 2
Ex:-7n+10=-32
2: subtract 10 from both sides
Ex: -7n=-42
3:divide both sides by -7 to get n alone
Ex: n=6
Answer is 6 and the process is elimination!

8 0

2 years ago