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4 years ago

11

A secant and a tangent meet at a 90° angle outside the circle. What must be the difference between the measures of the intercept

ed arcs?

2 answers:

____ [38]4 years ago

8 0

Answer: the answer is c 180

docker41 [41]4 years ago

8 0

Answer:answer is 180

Step-by-step explanation:

Just took the test

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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

3 years ago

Suppose that e and f are two events and that upper p left parenthesis upper e right parenthesis p(e) equals = 0.5 0.5 and upper

Fofino [41]

I believe it is 0.10?

5 0

3 years ago

Which graph represents a function

Oduvanchick [21]

Answer:

A

Step-by-step explanation:

Linear as said in it's name is a function that creates (visualy) a straight line.

FROM all the graphs A shows a straight line therefore, the answer.

8 0

3 years ago

Can you please help me? Thanks!!!!

ss7ja [257]

The answer is 25 degrees.

This is how you solve the equation, first you must know that the straight like ABC=180, DBC is 130, so the remaining amount is 50 degrees, BE is a bisector of ABD which means it splits ABD right down the middle. So ABE+EBD=50 degrees, 25+25=50 since both sides MUST be equal in order for BE to be a bisector of ABD.

If you have any more questions feel free to ask them here on Brainly.com, please make sure to give my answer a rate, like, and vote brainliest if I've helped you out, it helps me a lot too!

4 0

3 years ago

A rectangle is 3 inches long and 2x inches wide. The value of the perimeter (in inches) is equal to the value of the area (in sq

Sergio [31]

The perimeter of the rectangle is equal to the doubled sum of the sides, and the area is equal to the product of the sides. So we have the following equation

3 x 2x = 2(3 + 2x)
6x = 6 + 4x
2x = 6
x = 3

8 0

3 years ago