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3 years ago

What does r equal in 9r = 27

Mathematics

2 answers:

stepladder [879]3 years ago

8 0

Answer:

Step-by-step explanation:

9r= 27

9r÷9= 27÷9

r= 3

Therefore r equals 3

Strike441 [17]3 years ago

4 0

Answer:

r = 3

Step-by-step explanation:

To find r you would take the equation 9r=27, and divide each side of the equation by 9, leaving you with r = 3.

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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

4 years ago

What is the general form of the equation for the given circle centered at O(0, 0)? The center is (0,0) the point on the circle i

FromTheMoon [43]

Hello,

Radius= √((4-0)²+(5-0)²)=√41
Equation of the circle : x²+y²=41

4 0

3 years ago

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Please help, due today

patriot [66]

Answer:

I am a little late but here is the answer

The graph of a non-proportional linear relationship is a straight line that does not pass through the origin.

Non-proportional linear relationships can be expressed in the form y = m x + b

With increase in proportion of one quantity, the proportion of the other quantity decreases and with decrease in proportion of one quantity , the proportion of the other quantity increases .

Step-by-step explanation:

From Graph :

The graph of a non-proportional linear relationship is a straight line that does not pass through the origin.

From Equation :

Non-proportional linear relationships can be expressed in the form y = m x + b, where , m is the slope of the line, and b represents the y-intercept.

From Table:

With increase in proportion of one quantity, the proportion of the other quantity decreases and with decrease in proportion of one quantity , the proportion of the other quantity increases .

4 0

3 years ago

If tan0=3/4 find sin0

krok68 [10]

Answer:

H2=02+A2

H2=9+16

=25

Step-by-step explanation:

sino =0/H

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3 years ago

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PSYCHO15rus [73]

Answer:

6.8

Step-by-step explanation:

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17/5=3.4

Now we apply the number 3.4 to find the length of PQ using the same side on the similar shape

2*3.4=6.8

Hope this helps and I’m sorry to ask but I would love a Brainliest

8 0

3 years ago

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