Pls help this question

Inside the box of every cereal box contains a surprise gift. The store manager assures employees that 22 of the 45 boxes on the

kherson [118]

Answer:

0.2333 = 23.33% probability that both of them have the secret decoder ring

Step-by-step explanation:

The cereals are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x successes is given by the following formula:

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

In which:

x is the number of successes.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

In this question:

45 boxes, which means that $N = 45$

22 have the secret decoder ring, which means that $k = 22$

Two boxes, which means that $n = 2$

What is the probability that both of them have the secret decoder ring?

This is P(X = 2). So

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

$P(X = 2) = h(2,45,2,22) = \frac{C_{22,2}*C_{23,0}}{C_{45,2}} = 0.2333$

0.2333 = 23.33% probability that both of them have the secret decoder ring

8 0

3 years ago

Which expression can you substitute

valina [46]

Answer:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Point Form:(30/19,2/19)

Equation Form: x=30/19, y=2/19

7 0

3 years ago

45 liters of helium at $.42 per liter

earnstyle [38]

Answer:

The answer is 45 liters = $1890

Step-by-step explanation:

As 1 liter of helium = $42

So multiply 45 liters with $42

Equals $ 1890 for 45 liters of heluim

7 0

3 years ago

Jeff's mother gave him money. he used an equal amount of money each day. at the end of the 7th day, he was left with 1/4 of how

skelet666 [1.2K]

Jeff received 280$ from his mother

Such questions are the simplest as it needs you to just write the conditions accordingly which then simplifies and provides you the answer.

This question can be solved using two tricks which are shown below:-

Trick 1 :

1 – 1/4 = 3/4 (used for the 1st 7 days)

1/4 – 410 (used for 8th and 9th days)

(3/4)/7 ——- (1/4 – 10)/2

(3/4) x (2/7) = 3/14 ——- (1/4 – 10)

1/4 – 3/14 = (7 – 6)/28 = 1/28 ——- 10

28/28 ——- 10 x 28 =$ 280

Trick 2 :

7 days ——- 3/4

1 day ——- 3/28

2 days ——- 6/28

6/28 ——- (1/4 – 10) = 7/28 – 410

1/28 ——- 10

28/28 ——- 10 x 28 = $280

Thus Jeff received 280$ from his mother.

Learn more about simple math here :

brainly.com/question/23678

#SPJ4

4 0

2 years ago

David has kept track of his family’s grocery bills for the past 10 weeks, as shown in the table.

matrenka [14]

The preferred choice would be a line graph (drawn in the figure attached) for displaying the data.

Why a line graph is the preferred option here?

For displaying the data of David's family's grocery bills for the past 10 weeks, a line graph is the most preferable choice since it would display the data's trend for us. This is similar to how we would notice times when there were huge costs.

Another reason for choosing a line graph is that it is very easy to comprehend. It is simple to observe how the data are related and how they have changed.

What is a line graph?

An individual data point is connected by a line in a line graph, sometimes referred to as a line plot or a line chart. A line graph shows numerical values over a predetermined period of time.

Learn more about a line graph here:

brainly.com/question/11844514

#SPJ1

8 0

2 years ago