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damaskus [11]
3 years ago
14

What is the angle of rotation of the figure? A.0° B.90° C.120° D.180°

Mathematics
1 answer:
-BARSIC- [3]3 years ago
7 0

Answer:

B. 90

Step-by-step explanation:

angle of rotation = 360/4= 90

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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
5. Angie is mixing together yellow paint and blue paint to make 2 shades of green paint. She fills −4 of can A with yellow paint
trapecia [35]

Answer:

she can pour more paint in in can<u> </u><u>B</u>

Step-by-step explanation:

4 0
3 years ago
To convert centimeters to inches, we multiply the measurement in centimeters by 2.54. Identify the type of relation between cent
miskamm [114]
The relationship between centimeters and inches is linear. The equation in the relationship is:

y= 2.54x , with x as inches and y as centimeters.

The graph for this equation results to a straight line. This equation has a degree of one.
5 0
3 years ago
1/2+3/7= in simplest form
xxTIMURxx [149]

Answer:

1/14

Step-by-step explanation:

1/2+3/7=7/14-6/14=1/14

7 0
3 years ago
Please explain to me how to find the solution of 3n+8=20 Thank you
allsm [11]
First, you subtract 8 by both sides ( 8-8/ 20-8) so now your equation is 3n=12. Next, you multiply 3n by 3, and get 0, and 12 multiplied by 3 and the answer is 36! Hope this helped. 
7 0
3 years ago
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