35% of 15% of x is equivalent to which of the following

A dog show has 6 small dogs, 12 medium-sized dogs, and 6 large dogs. What is the probability that a dog chosen at random is a sm

sineoko [7]

Answer:

6/24= 3/12 = 1/4= 25%

Step-by-step explanation:

add 6+6+12 = 24. 6 small dogs so 6/24 and simplify

4 0

3 years ago

Ava bought some pens for $ 2 each and some pencils for $ 1 each. She bought 3 more pens than pencils and spent a total of $ 12.

Rudiy27

Answer:

Step-by-step explanation:

price of 1 pen= $ 2

price of 1 pencil= $1

total money spent= $12

Let the number of pen be a and number of pencil be b.

2 a + b = 12 ----------------Equation 1

We have, she bought 3 more pens than pencils

a - b = 3 ------------------ Equation 2

Equation 1 +Equation 2,

2 a + b + a - b = 12 + 3

3a = 15

a = 5

Substituting in equation

5 - b = 3

b = 2

Number pencils Ava bought = 2

5 0

3 years ago

What is the mean of 4,4,2,1,4

bearhunter [10]

Answer:

3

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

A skier is trying to decide whether or not to buy a season ski pass. a daily pass cost $70. a season las costs $300. the skier w

Musya8 [376]

Answer:

hi, can you please answer mine too it's just a 1 question I really need the answer because I have to pass it later at 10 pm and it's already 9:01pm I hope you can help me:(

Step-by-step explanation:

about your question I'll just put it in the comment section:)

3 0

2 years ago

boyakko [2]

The missing part in the question;

and the payoff is $2.20 won for every dollar bet. (As the player’s probability of winning in this case is $\dfrac{1}{4}$ ........

Also:

For such a bet, the casino pays off as shown in the following table.

The table can be shown as:

Keno Payoffs in 10 Number bets

Number of matches Dollars won for each $1 bet

0 - 4 -1

5 1

6 17

7 179

8 1299

9 2599

10 24999

Answer:

Step-by-step explanation:

Given that:

Twenty numbers are selected at random by the casino from the set of numbers 1 through 80

A player can select from 1 to 15 numbers; a win occurs if some fraction of the player’s chosen subset matches any of the 20 numbers drawn by the house

Let assume X to represent the numbers of player chooses which are in the Casino-selected-set of 20.

Let assume the random variable X has a hypergeometric distribution with parameters N= 80 and m =20.

Then, the probability mass function of a hypergeometric distribution can be defined as:

$P(X=k)=\dfrac{(^m_k)(^{N-m}_{n-k})}{(^N_n)}, k =1,2,3 ... n$

Now; the probability that i out of n numbers chosen by the player among 20 can be expressed as:

$P(X=k)=\dfrac{(^{20}_k)(^{60}_{n-k})}{(^{80}_n)}, k =1,2,3 ... n$

Also; given that ; When the player selects 2 numbers, a payoff (of odds) of $12 won for every $1 bet is made when both numbers are among the 20

So; n= 2; k= 2

Then :

Probability P ( Both number in the set 20) $=\dfrac{(^{20}_2)(^{60}_{2-2})}{(^{80}_2)}$

Probability P ( Both number in the set 20) $= \dfrac{20*19}{80*79}$

Probability P ( Both number in the set 20) $=\dfrac{19}{316}$

Probability P ( Both number in the set 20) $=\dfrac{1}{16.63}$

Thus; the payoff odd for $=\dfrac{1}{16.63}$ is 16.63:1 ,as such fair payoff in this case is $16.63

Again;

Let assume X to represent the numbers of player chooses which are in the Casino-selected-set of 20.

Let assume the random variable X has a hypergeometric distribution with parameters N= 80 and m =20.

The probability mass function of the hypergeometric distribution can be defined as :

$P(X=k)=\dfrac{(^m_k)(^{N-m}_{n-k})}{(^N_n)}, k =1,2,3 ... n$

Now; the probability that i out of n numbers chosen by the player among 20 can be expressed as:

$P(n,k)=\dfrac{(^{20}_k)(^{60}_{n-k})}{(^{80}_n)}, k =1,2,3 ... n$

From the table able ; the expected payoff can be computed as shown in the attached diagram below. Thanks.

8 0

3 years ago