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3 years ago

Find the slope and the Y-intercept of the graph of y-6=3/8x

Mathematics

2 answers:

balandron [24]3 years ago

8 0

Answer:

Slope =3/8

y-intercept is:(0,6)

Step-by-step explanation:

Mice21 [21]3 years ago

3 0

Answer:

first, we should make sure the form is y = mx + b.

y = 3/8x + 6

therefore, the slope is 3/8, and the y-intercept is 6.

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mezya [45]

Answer:

6 min

Step-by-step explanation:

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2 years ago

2. f(8) if f(x) = x + 11

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2 years ago

He bought four violas for 40$ each. Later he bought one whistle for 100$. After that, he returned one viola. Write the total cha

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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: