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2 years ago

Please help me please !

Mathematics

1 answer:

NeX [460]2 years ago

7 0

Answer: B

Step-by-step explanation: I just graphed it. :)

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A pattern has 77 yellow triangles to every 33 green triangles. What is the ratios of green triangles to yellow triangles?

Anton [14]

For every 33 green triangles, we have 77 yellow triangles.
So using the original ratio 33:77 we can simplify this by dividing both sides by 11 so that we get the ratio 3:7 so for every 3 green triangles we have 7 yellow triangles.

6 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 50% of $68? Show all of your work. Use the percent proportion model shown below to set up the equation before you calcul

Natali5045456 [20]

Answer:

$34

Step-by-step explanation:

50% is half of 100%

(Because 50% x 2 = 100%)

Thus, half the money ($68) to find 50%.

So, 68÷2 = 34

Final answer is $34

50/100 x $68 =$34

Hope this helps!

6 0

2 years ago

Solve the following equation by using the distributive property: 5(x - 4) = 6

Pani-rosa [81]

You do 5 times x and 5 times 4 and you’d end up with equation that says 5x-4=6. The you add 4 to both sides of the equation to cancel out the 4. Your equation should now say 5x=10. You divide both sides by 5 and you have your answer x=2

8 0

3 years ago

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the expression 5n+2 can be used to find total cost in dollars of bowling where n is the number of games bowled 2 represents the

exis [7]

So justsubsitue 3 for n
5(3)+2
15+2
17
answer is 17

3 0

3 years ago

Read 2 more answers