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2 years ago

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if the perimeter of a regular pentagon is represented by the expression 25c+15.what is the length of each side of the pentagon?

1 answer:

katrin [286]2 years ago

7 0

Answer:

Find the length of one side of the pentagon. Explanation: A regular pentagon must have five equivalent sides and five equivalent interior angles. Regular pentagons can be divided up into five equivalent interior triangles, where the base of the triangle is a side length and the height of the triangle is the apothem.

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For each given p, let ???? have a binomial distribution with parameters p and ????. Suppose that ???? is itself binomially distr

pshichka [43]

Answer:

See the proof below.

Step-by-step explanation:

Assuming this complete question: "For each given p, let Z have a binomial distribution with parameters p and N. Suppose that N is itself binomially distributed with parameters q and M. Formulate Z as a random sum and show that Z has a binomial distribution with parameters pq and M."

Solution to the problem

For this case we can assume that we have N independent variables $X_i$ with the following distribution:

$X_i Bin (1,p) = Be(p)$ bernoulli on this case with probability of success p, and all the N variables are independent distributed. We can define the random variable Z like this:

$Z = \sum_{i=1}^N X_i$

From the info given we know that $N \sim Bin (M,q)$

We need to proof that $Z \sim Bin (M, pq)$ by the definition of binomial random variable then we need to show that:

$E(Z) = Mpq$

$Var (Z) = Mpq(1-pq)$

The deduction is based on the definition of independent random variables, we can do this:

$E(Z) = E(N) E(X) = Mq (p)= Mpq$

And for the variance of Z we can do this:

$Var(Z)_ = E(N) Var(X) + Var (N) [E(X)]^2$

$Var(Z) =Mpq [p(1-p)] + Mq(1-q) p^2$

And if we take common factor $Mpq$ we got:

$Var(Z) =Mpq [(1-p) + (1-q)p]= Mpq[1-p +p-pq]= Mpq[1-pq]$

And as we can see then we can conclude that $Z \sim Bin (M, pq)$

8 0

3 years ago

PLS HELP MEEEEEEEEE pls i make brain

Degger [83]

Answer:

1) 0.75

2) y = $\frac{3}{4}$ x - 3

3) (4, 0); (0, -3)

Step-by-step explanation:

Convert to slope-intercept form (y = mx + b) by solving:

y = $\frac{3}{4}$ x - 3

m is the slope, so $\frac{3}{4}$ or you can write as 0.75.

To find the x and y intercepts, set the y value to zero and solve (x-intercept), and b is the y-intercept.

3 0

2 years ago

Read 2 more answers

Select all of the expressions that are

Gwar [14]

|6| is equal to 6

|-6| is equal to 6

-|6| is NOT equal to 6

-|-6| is NOT equal to 6

|0 - 6| is equal to 6

|-2| · |3| is equal to 6

Hope this helps! (❁´◡`❁)

5 0

3 years ago

Read 2 more answers

Please help. pictrue shownn

goblinko [34]

The answer choice A is correct

4 0

3 years ago

Read 2 more answers

You are dealt one card from a 52 card deck. Then the card is replaced in the deck, the deck is shuffled, and you draw again. Fin

AlladinOne [14]

Answer:

3/52

Step-by-step explanation:

The picture card are j,q k and there are 4 of each so there are 12 picture cards

P( picture card) = picture card/ total

12/52 = 3/13

Then replace the card

There are 13 clubs

P( club) = club/ total

13/52 = 1/4

P(picture,replace,club) = 3/13*1/4 = 3/52

7 0

3 years ago