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bija089 [108]
3 years ago
13

You are at a restaurant and the check comes to a total of $23. If you want to leave a 20% tip, how much total money should you p

ay, to the nearest cent?
Mathematics
1 answer:
Oxana [17]3 years ago
8 0

Answer:

$27.60

Step-by-step explanation:

23×1.2=27.60 is the answer

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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
In a recent student government​ election, the ratio of students who voted for the winner to all the students who voted was 0.55
Temka [501]
The ratio being 0.55 means 55% of students voted for the person who ended up winning. If there were 40 people who voted, just find 55% of 40.
This is done by 0.55 • 40, which equals 22.
So 22 students voted for the person who ended up winning.
3 0
3 years ago
Read 2 more answers
I need help please and thank you!!!
Komok [63]

Answer:

what do you want to find?

4 0
2 years ago
Read 2 more answers
What is the equation of the line that passes through the point (6,-5) and has a
lora16 [44]
Y=-3/2-5

hope this helps!!
5 0
3 years ago
Karen, Trey, and Dante have a total of 75 in their wallets. Karen has 5 more than Trey. Dante has 2 times what Karen has. How mu
Taya2010 [7]

Answer: Karen has 20, Trey has 15, Dante has 40

Step-by-step explanation:

Karen=x+5    Trey=x     Dante=2x+10

            x+x+5+2x+10=75

                 4x+15=75

                   4x=60

                     x=15

5 0
2 years ago
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