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vekshin1
3 years ago
5

The topic is about operations on functions: composition and transformation

Mathematics
1 answer:
telo118 [61]3 years ago
5 0

Answer:

5, 1, 5, 1.

Step-by-step explanation:

take it one step at a time.

for the first one f(g(1))

first do whats inside of the parenthesis.

> g(1), go to g(x) graph, go to x= 1 and your y-value is your new value (3)

> your new equation is now f(3)

→ go to f(x) graph, go to x= 3, your y-value is 5. Your final answer is 5.

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Solve for v<br> 5v-13=67
borishaifa [10]

Answer:

16

Step-by-step explanation:

Add 13 both sides

That would give you 5v=80

Divide 80 by 5. So v would equal 16

8 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
An investor has an account with stock from two different companies. Last year, his stock in Company A was worth $6600 and his st
Nonamiya [84]

Answer:

4.9%

Step-by-step explanation:

6600 * 107/100 = 66*107 = 7062.

3500 * 101/100 = 35x101 = 3535

7062+3535=10597. Original worth: 10100

10597-10100 = 497

497/10100 = 0.0492079208, or 4.92%, rounds to 4.9%

7 0
2 years ago
Wut is the answer of 4-1/3x=8 step by step​
Crazy boy [7]

Answer:

\frac{4-1}{3x}=8/3x\\ 4-1=24x\\24x=3/24\\x=\frac{1}{8}

Step-by-step explanation:

7 0
3 years ago
Assume that lines that appear to be tangent are tangent. O is the center of the circle. Find the value of x. (Figures are not dr
mars1129 [50]
The correct answer is c
4 0
3 years ago
Read 2 more answers
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