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Katena32 [7]
2 years ago
8

I need the Area and Perimeter.​

Mathematics
2 answers:
Klio2033 [76]2 years ago
4 0

Answer: 36

Step-by-step explanation:3 sides of 12 12x3= 36

kotegsom [21]2 years ago
3 0

Answer:

48

Step-by-step explanation:

formula for triangle area : h * b /2 | 8*12/2 = 48

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The length of the shadow of an office building is 35 feet. At the same time of the day, Donovan Mitchell, who is 6.1 feet tall,
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175

Step-by-step explanation:

35 times 5 is 175

Hope This Helped

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He spent $15.51

Step-by-step explanation:

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5 0
2 years ago
Write an algebraic expression for “12 less than the quotient of 12 and a number z.”
algol13

\frac{12}{n}   - 12

4 0
3 years ago
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
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