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AysviL [449]
3 years ago
9

In a certain card game you draw one card off a standard deck of 52 cards. If you draw a spade you get paid $12, if you draw a re

d Ace you get paid $20, and if you draw a red Queen you get paid $38. If you draw anything else, you get paid nothing. What should this game cost if it is to be a fair game? Use fractions in your work and then calculate the answer as a decimal rounded to 4 decimal places.
Mathematics
1 answer:
Mariulka [41]3 years ago
4 0

Step-by-step explanation:

In a standard deck of 52 cards, there are 2 red aces, 2 red Queens, and 13 spades.  That leaves 35 cards for everything else.

For the game to be fair, the cost must equal the expected value.  The expected value is the sum of each outcome times its probability.

C = (12) (13/52) + (20) (2/52) + (38) (2/52) + (0) (35/52)

C = 68/13

C ≈ 5.2308

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a wildlife photographer spent 5 minutes taking pictures of a bison at a park. when the bison then decided she didn't want her ph
ZanzabumX [31]

The percent of time the photographer spent negotiating with the bison greater than the time he spent taking pictures is 500%

<h3>Percentage</h3>

  • Time spent taking pictures = 5 minutes
  • Time spent negotiating = 30 minutes

Percentage of time negotiating greater than taking pictures = (difference in time) / time to take pictures × 100

= (30 - 5) / 5 × 100

= 25/5 × 100

= 5 × 100

= 500%

Learn more about percentage:

brainly.com/question/843074

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4 0
2 years ago
Subtract and simplify: 4y/y^2-10y+21-1/y-3
Eva8 [605]
OK...... your answer would be

- 10y^2 - 26y + 1/y
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3 0
3 years ago
clark made a model of his house. his house is 30 1/2 feet long. the dimensions of the model were 1/25 the dimensions of clarks a
balandron [24]

Answer:

1.22 feet, or 1  11/50 ft

Step-by-step explanation:

Find 1/25 th of 30 1/2 feet:

 1        61 ft

----- * ---------- = 1.22 feet, or 1  11/50 ft

25      2

The length of the model is  1.22 feet, or 1  11/50 ft

7 0
3 years ago
Standard form of a point that goes through-2,4 and the slope is -1/7
lesantik [10]

<u>Answer:</u>

Standard form of a line passing through (-2, 4) and having slope of  -1/7 is x + 7y = 26

<u>Solution:</u>

Given that we need to determine standard form of a line that goes through (-2 , 4) and slope of the line is -1/7

Standard form of line passing through point ( a , b ) and having slope m is given by

(y – b) = m ( x – a)   --------(1)

In our case given point is ( -2 , 4 ) and slope is -1/7 that means

a = -2 , b = 4 , m = -(1/7)

On substituting given value of a , b and m is equation (1) we get

(y-4)=\left(-\frac{1}{7}\right)(x-(-2))

=>(y-4)=\left(-\frac{1}{7}\right)(x+2)

=> 7( y - 4 ) = -x – 2

=> 7y + x = -2 + 28

=> x + 7y = 26  

Hence standard form of a line passing through (-2,4) and having slope of –(1/7) is x + 7y = 26

8 0
3 years ago
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