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erastovalidia [21]
3 years ago
6

Andy is always looking for ways to make money fast. Lately, he has been trying to make money by gambling. Here is the game he is

considering playing: The game costs $2 to play. He draws a card from a deck. If he gets a number card (2-10), he wins nothing. For any face card ( jack, queen or king), he wins $3. For any ace, he wins $5, and he wins an extra $20 if he draws the ace of clubs.
Create a probability model and find Andy's expected profit per game.
Mathematics
1 answer:
Lorico [155]3 years ago
7 0

Answer:

Option B.

Step-by-step explanation:

Cost of game = $5.00

If they draw a face card, they win $10.00 (i.e. they get their $5.00 back and get an extra $5.00).

Winning amount = $5

Number of face cards = 12

Probability of getting a face card =

If they draw an ace, they win $20.00 (i.e. they get their $5.00 back and get an extra $15.00).

Winning amount = $15

Number of ace = 4

Probability of getting an ace  =

Any other draw they lose their money.

Number of other card (Exclude ace and face cards) = 52-4-12=36

Probability of getting other cards  =

The expected money value playing this game is

E(x) = 5 × P(face cards) + 15 × P(Ace) - 5 × P(Other cards)

The expected money value playing this game is -$1.15

Therefore, the correct option is B.

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Please help this is due in 20 mins, I will give brainliest
eduard

Answer:

L = 5\sqrt{10}

Step-by-step explanation:

use Pythagorean Theorem:

L² + (5\sqrt{2})² = (10\sqrt{3})²

L² + 25(2) = 100(3)

L² + 50 = 300

L² = 250

L = \sqrt{250} = \sqrt{25} · \sqrt{10} = 5\sqrt{10}

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2 years ago
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What is the irrational number between 5.5and5.2
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Answer:
<span>The irrational number between 5.5 and 5.2 is square root of 30. </span>
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What is 5⅜ - 3⁸/⁹ ?​
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1 35/72

Step-by-step explanation:

7 0
3 years ago
The office manager of a small office ordered 140 packs of printer paper based on average daily use, she knows that the paper wil
Mandarinka [93]

slope intercept form is y=mx+b

So slope intercept form is The office manager of a small office ordered 140 packs of printer paper based on average daily use, she knows that the paper will last about 80 days

(A) Lets make a table

X axis represents the Number of days paper used

y axis represents the packs of printer paper used

x            y

days      packs of printer paper used

0            0               (0 days , 0 packs used)

80          140           (in 80 days , 140 packs paper used)

The graph is attached below

(B) To find Equation of a line we use points (0,0)  and (80,140)

slope = \frac{y_2-y_1}{x_2-x_1} = \frac{140-0}{80-0} = \frac{7}{4}

y intecept is (0,0)

so b= 4

Slope intercept form of a line i y=mx + b

m is the slope and b is the y intercept

So slope intercept form of line becomes

y= \frac{7}{4} x

Standard form is Ax + By =C

y= \frac{7}{4} x

Multiply both sides by 4

4y = 7x

Now subtract 7x on both sides

-7x + 4y =0 is the standard form

(c) To find packs of printer paper  the manager expect to have after 30 days, Plug in 30 for x  and find out y

y= \frac{7}{4} x

y= \frac{7}{4}(30)= 52.5

Total 140 packs of printer paper

52.5 packs of paper used

Packs of paper remaining after 30 days = 140- 52.5= 87.5


8 0
2 years ago
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