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andrew-mc [135]
3 years ago
13

Use the graph to find the limit (if it exists). If the limit does not exist, explain why.

Mathematics
1 answer:
Mandarinka [93]3 years ago
6 0

Answer:

  the limit does not exist

Step-by-step explanation:

As x approaches π/2 from below, tan(x) approaches +∞. A x approaches π/2 from above, tan(x) approaches -∞. These two limits are not the same, so the limit is said not to exist.

___

For a limit to exist, it must be the same regardless of the direction of approach.

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PLSSSS HELPPPP 30 POINTSSSS
Vlad [161]

Answer:

35.4%

Step-by-step explanation:

(100/80) x 27.6

basically 1 of 80 is 1.25 and multiply 1.25 times the money jaylon spent sorry i am really bad at explaining only good at solving

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18. QS bisects ZPQR. If mZPQS = 3x and
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The answer is b because
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3 years ago
1. What are the possible total amounts of money you could win if you scratch off two disks?
slega [8]

Complete Question:

An instant lottery game card consists of six disks labeled A, B, C, D, E,F. The game is played by purchasing a game card and scratching off two disks. Each of five of the disks hides $., and one of the disks hides $.. The total of the amounts on the two disks that are scratched off is paid to the person who purchased the card.

1. What are the possible total amounts of money you could win if you scratch off two disks?

2. If you pick two disks at random:

a. How likely is it that you win $2.00?

b. How likely is it that you win $11.00?

3. Based on Exercise 2, how much should you expect to win on average per game if you played this game a large

number of times?

4. To play the game, you must purchase a game card. The price of the card is set so that the game is fair. What do you

think is meant by a fair game in the context of playing this instant lottery game?

5. How much should you be willing to pay for a game card if the game is to be a fair one? Explain.

Answer:  

 1. $2 or $11    

 2a. 2÷3

 2b. 1÷3kjhdj

 3  $5

 

Step-by-step explanation:

First Question :

What are the possible total amounts of money you could win if you scratch off two disks?

Explained solution :

If you uncovered two $. disks, the total is $.

If uncovered one $. disk and you also uncovered the $. disk, the total is $..

Second Question:

2. If you pick two disks at random:

a. How likely is it that you win $2.00?

b. How likely is it that you win $11.00?

Explained Answer:

If you pick two disks at random:

a. How likely is it that you win $.?

( $.)=÷=÷


b. How likely is it that you win $.?

( $.)=÷=÷

These is one of the many ways  to determine the probabilities of getting $. and $..

List the possible pairs of scratched disks in a sample space, , keeping in mind that two different disks need to be scratched, and the order of choosing them does not matter. For example, you could use the notation that indicates disk and disk were chosen, in either order. = {,,,,,,,,,,,,,,}

There are different ways of choosing two disks without replacement and without regard to order from the six possible disks.

Identify the winning amount for each choice under the outcome in . Suppose that disks – hide $., and disk hides $..

The possible ways of selection and the winning amounts for each is shown on the table below(i.e. the uploaded image)

Since each of the outcomes in is equally likely, the probability of winning $. is the number of ways of winning $., namely, , out of the total number of possible outcomes, . ( $.)=÷=÷.

Similarly, ( $.)=÷=÷.

In the case where its difficult to list out the possible way of selecting each disk we can apply this method :

Recall that counting when sampling was done without replacement and without regard to order involved combinations.

The number of ways of choosing two disks without replacement and without regard to order is <em /><em>C</em>=()÷= . (n<em></em> denotes the number of combinations of items taken at a time without replacement and without regard to order. i.e the number of way of selecting from n items taken these items k at a time without replacement )

To win $., two disks need to be chosen from the five $. disks. The number of ways of doing that is <em />=()÷=

So, the probability of winning $. is ÷=.&#10;

To win $., one disk needs to be chosen from the five $. disks, and the $. disk needs to be chosen. The number of ways of doing that is (<em />)(<em />)  

(<em />) = 5

 (<em />) = 1

(<em />)(<em />)   = 5×1 = 5

So, the probability of winning $. is ÷=÷

No 3

 Based on Exercise 2, how much should you expect to win on average per game if you played this game a large number of times?

()(÷)+()(÷)=. The expected winning amount per play is $..

No 4

To play the game, you must purchase a game card. The price of the card is set so that the game is fair. What do you think is meant by a fair game in the context of playing this instant lottery game?

A fair game in this context means that the cost to play the game should be equal to the expected winnings

No 5

How much should you be willing to pay for a game card if the game is to be a fair one? Explain.

In the context of this instant lottery game, the game is fair if the player is willing to pay $. (the expected winning per play) to purchase each game card.

4 0
2 years ago
Geometry: fill in the blanks (ASAP!! It’s urgent)
stepladder [879]

5. m∠C = 95°

6. m∠C = 70°

7. The other acute angle in the right triangle = 70°

8. m∠C = 70°

9. m∠C = 60° [equilateral triangle]

10. Measure of the exterior angle at ∠C = 110°

11. m∠B = 70°

12. m∠Z = 70°

<h3>What are Triangles?</h3>

A triangle is a 3-sided polygon with three sides and three angles. The sum of all its interior angles is 180 degrees. Some special triangles are:

  • Isosceles triangle: has 2 equal base angles.
  • Equilateral triangle: has three equal angles, each measuring 60 degrees.
  • Right Triangle: Has one of its angles as 90 degrees, while the other two are acute angles.

5. m∠C = 180 - 50 - 35 [triangle sum theorem]

m∠C = 95°

6. m∠C = 180 - 25 - 85 [triangle sum theorem]

m∠C = 70°

7. The other acute angle in the right triangle = 180 - 90 - 25 [triangle sum theorem]

The other acute angle = 70°

8.  m∠C = 180 - 55 - 55 [isosceles triangle]

m∠C = 70°

9. m∠C = 60° [equilateral triangle]

10. Measure of the exterior angle at ∠C = 50 + 60

Measure of the exterior angle at ∠C = 110°

11. m∠B = 115 - 45

m∠B = 70°

12. m∠Z = 180 - 35 - 75

m∠Z = 70°

Learn more about triangles on:

brainly.com/question/25215131

#SPJ1

8 0
2 years ago
The Smith family went to eat at Buffalo Wild Wings. The bill was $43.86. They gave the server a 20% tip. How much did they pay a
Marysya12 [62]
<h2>Answer:</h2>

$52.63

<h2>Step-by-step explanation:</h2>

To find 20% of $43.86 we multiply $43.86 by 0.2

$43.86 • 0.2 = $8.772

Now add $43.86 and $8.772 to find out how much the family paid altogether.

$43.86 + $8.772 = $52.632

In money the smallest place value is cents so we have to round to the hundredths place.

Doing this we get the grand answer of:

$52.63

3 0
2 years ago
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