A local flower shop is selling $1 raffle tickets and is donating all proceeds to the children's hospital. They sold 5,500 tickets and plan to give away 20 flower arrangements valued at $70 and 20 gift certificates valued at $25. Find the expected value of purchasing a raffle ticket.Round to the nearest cent. Do not round until the final calculation.

Answers

Answer 1

Answer:

The expected value of purchasing a raffle ticket is -0.647.

What is the Expected Value of a Probability & Statistical Analysis?

The expected value is derived in probability analysis by the multiplication of each of the potential possibilities by the likelihood that each result will occur and then adding all of those values together.

Using the formula below, we can calculate the expected value as follows:

$\mathbf{ E(X)= \sum^(n)_(i=1)X_i P(X_i)}$

However, the probability (Pr) of each event can be categorized as follows:

Pr (to win a flower arrangement ) $\mathbf{=(20)/(5500)}$

Pr (to gift a certificate) $\mathbf{=(20)/(5500)}$

Pr (no win) ) $\mathbf{=(5500 - 20 - 20)/(5500)=(5460)/(5500)}$

Thus;

$\mathbf{E(X) = 70((20)/(5500) * 25 (((20)/(5500) )- 1((5460)/(5500) )}$

$\mathbf{E(X) =-0.647}$

Learn more about finding the expected value of a probability here:

brainly.com/question/9931880

Answer 2

Answer:

Answer: The expected value of purchasing a raffle ticket would be $0.3449.

Step-by-step explanation:

Since we have given that

Number of tickets = 5500

Number of flower arrangements = 20

Number of gift certificates = 20

So, Probability that wining $70 at flower arrangement = $(20)/(5500)=(1)/(275)$

Probability that wining $25 at gift certificates = $(20)/(5500)=(1)/(275)$

So, Expected value of purchasing a raffle ticket would be

$70* (1)/(275)+25* (1)/(275)\n\n=0.254+0.0909\n=\$0.3449$

Hence, the expected value of purchasing a raffle ticket would be $0.3449.

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Find the area of a square with side a when a=2 in, a=12 in, and a=0.8 in. Are the area of a square and the length of its side directly proportional quantities? Why or why not?

Answers

Answer:

4 inches²

144 inches²

0.64 inches²

Yes, the area of a square and the length of its side directly proportional quantities.

Step-by-step explanation:

In this question, we have to find the area of square by changing the lengths of a side. Given lengths are: 2, 12, 0.8. I will evaluate the area of each side and try to find out the relation between area and length of side.

First, we start with the smallest length (a=0.8 inches)

Area of a square is calculated by taking the square of single side (since both sides are equal).

Area of square = a²

Area of square = 0.8²

Area of square = 0.64 inches²

Area of square with smallest side length (a=0.8 inches) = 0.64 inches²

Secondly, we start with the 2nd highest length (a=2 inches)

Area of square = a²

Area of square = 2²

Area of square = 4 inches²

Area of square with second largest side length (a=2 inches) = 4 inches²

Thirdly, we start with the highest length (a=12 inches)

Area of square = a²

Area of square = 12²

Area of square = 144 inches²

Area of square with highest side length (a=12 inches) =144 inches²

As we can see, with the increase in the length of a side, area of square is also increasing. Therefore, yes the area of a square and the length of its side are directly proportional quantities as the area increases or decreases when the length of the side increases or decreases.

Answer:

They are directly proportional quantities.

Step-by-step explanation:

DEFINITION

Two quantities are said to be directly proportional if an increase in one quantity lead to an increase in the other quantity.

Area of a Square = $Length^2$

Area of a Square of Length 2 inch = $2^2=4 \:square \:inch$

Area of a Square of Length 12 inch = $12^2=144 \:square \:inch$

Area of a Square of Length 0.8 inch = $0.8^2=0.64 \:square \:inch$

Arranging the sides and corresponding area in ascending order:

(0.8, 2, 12) = (0.64, 4, 144)

We notice that as the length increases, the area also increases.

Therefore, the area of a square and the length of its side are directly proportional quantities.

What is 0.625 rounded to the nearest tenth

Answers

Answer:

0.6

Step-by-step explanation:

.6 is in the tenth place and it does not need to be rounded up but the number in the hundreths place is not above 4

A × 60=120 what does the a represent

Answers

In math, the word unknown is also called to the missing term of a number sentence. This missing term is a missing piece that has to be solved.
Let us have A x 60 = 120, since A has no numerical value, it is considered as the missing term. How can we get the value of the missing term? first, study the number sentence. Find out the rule, then apply it.
The value of A on the equation above is 2. Here's how:
A x 60 = 120
A=120÷60
A=2
The value A is 2, therefore the missing term is 2.

Are you serious? this is so easy. You can figure it out yourself

What Is the solution set for 6x - 2 = 5x +3

Answers

Answer:

x = 5

Step-by-step explanation:

6x - 2 = 5x + 3 add 2 to both sides

6x - 2 + 2 = 5x + 3 + 2

6x = 5x + 5 subtract 5x from both sides

6x - 5x = 5x - 5x + 5

x = 5

A train moved at a speed of 90 miles per hour for 2hours and then slowed down to 72 miles per hour.A) Find the total number of miles the train traveled.
B) Calculate the average speed of the train.

Answers

does the train go 72mph for 2 hours as well? if so the answer would be 324 because you have to add 90 twice scene it goes at that speed for 2 hours thats 180. assuming the train goes 72 mph for 2 hours it would be 144. then add 180 and 144 and you get 324 merry christmas and a happy newyear to you and your family

On a scale model of a building, 1 4 inch represents 3 8 foot. What length on the model represents 1 foot? 3 32 in. 2 3 in. 1 1 1 in. 10 2 3 in.