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Montano1993 [528]
2 years ago
10

2х - Зу = 32 x + 4у = -20 solve the system of equations

Mathematics
1 answer:
ANTONII [103]2 years ago
5 0
Answer: x=68/11 and y=-72/11


Steps:

2(x+4y=-20)

2x+8y=-40

2x - 3y = 32
- 2x + 8y = -40

-11y=72

y=-72/11


x + 4(-72/11) = -20

x - 288/11 = -20

x=68/11
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Here's the solution,

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Tim has two spinners , spinnerA and spinner B. Each spinner can only land on red or blue . The probability that spinner A will l
Ganezh [65]

Answer:

52

Step-by-step explanation:

<u>Spinner A</u>

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  • Probability of blue = 0.5

<u>Spinner B</u>

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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)

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3 years ago
Need help on this quickly! i have 2 more questions like this that i will post if it lets me.
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Answer:

x=5 , y=12

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