Which package has the lowest cost per ounce of rice ( 12, 18, 7)

Which counting rule would you use to determine total seating arrangements for a group of 8 people at a table with 6 chairs? Sele

Stolb23 [73]

To determine the number of possible arrangements for 6 out of 8, we should use combinations. That is
ₐC₆ = 8!/(6!2!)

Answer: b. Combination

5 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

Ms.Rosenbaum buys 5 crates of apples at the market .Each crate cost $12.50 .She also buys one crate of pears for $18.75 .What is

Inga [223]

Ok so she wants but 5 crates of apples. And each crate cost 12.50 so you would multi 12.50 times 5, which is 62.05. She so wants to buy one crate of pears. One crate of pairs is 18.75. Since she is only buying one you don't need to multiply it but anything. But now you have to figure out the cost of the apples and pears together. So just add 62.05 and 18.75 together which is 80.80

6 0

3 years ago

Which statements are correct? Check all that apply.

Vadim26 [7]

Answer:

Arc FE is a minor arc.

Step-by-step explanation:

i cant really explain

4 0

2 years ago

What is the volume of the right rectangular prism below?

Vesnalui [34]

Answer:

Volume of right rectangular prism = 3.75 in³

Step-by-step explanation:

Given:

First side of rectangular prism = 2 inches

Second side of rectangular prism = 1 $\frac{1}{2}$ = 1.5 inches

Third side of rectangular prism = 1 $\frac{1}{4}$ = 1.25 inches

Find:

Volume of right rectangular prism:

Computation:

$Volume\ of\ right\ rectangular\ prism=lbh\\\\Volume\ of\ right\ rectangular\ prism=(2)(1.5)(1.25)\\\\ Volume\ of\ right\ rectangular\ prism= 3.75 in^3$

7 0

2 years ago