answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
beks73 [17]
2 years ago
14

A game between two equally skilled players is ended before a winner is declared. Player A needs 3 more points to win, and player

B needs 2 more points to win. How should the stakes be divided between the two players? Blaise Pascal used the Arithmetical Triangle to solve this problem. In the division of the stakes, what is the ratio of player A's winnings to Player B's winnings?
Mathematics
1 answer:
alisha [4.7K]2 years ago
8 0

Answer: player A = 11/16 and player B = 5/16

Step-by-step explanation:

If a coin was to be tossed to determine the winner possible outcomes using arithmetical triangle.

Player A needs 2 points = 11

Player B needs 3 points = 5

Total outcome of tossing a coin = 16

Player A = 11/16 = 0.6875

Player B = 5/16 = 0. 3125

Or

Using the fifth roll of the pascal triangle (2+3) outcome

( 1, 4, 6, 4, 1 )

Addition of the first 3 represent Player A chances of winning = ( 1+ 4 + 6 ) = 11

And the last two = ( 1 + 4 ) = 5 represents the chances of team B winning

Total number of outcome = ( 1 + 4 + 6 + 4 + 1 ) = 16

You might be interested in
Danny Henry made a waffle on his six-inch-diameter circular griddle using batter containing a half a cup of flour. Using the sam
Mekhanik [1.2K]

Answer:

He'll need 288 cups to make a waffle on his 24 foot diameter circular griddle.

Step-by-step explanation:

In order to find out how much batter Danny needs we first need to compute the area of the first pans, since it is a circular pan their area is given by A = 2*pi*r. So we have:

Area of the first pan = 2*pi*(6/2) = 18.84 square inches

Area of the second pan = 2*pi*(24/2) = 75.36 square foots

We now need to convert these values to be in the same unit, we'll convert from square foots to square inches:

Area of the second pan = 75.36 * (12)^2 = 10851.84 square inches

We can now use a proportion knowing that the batter and the thickness of the waffles are the same. If 0.5 cup of flour can make a waffle on 18.84 square inches then x cup of flour can make a waffle on 10851.85 square inches. Writing this in a mathematical form, we have:

0.5/x = 18.84/10851.84

18.84x = 0.5*10851.85

x = 10851.85*0.5/18.84 =288 cups

7 0
2 years ago
Stephen says that the numbers 38 and 40 are relatively prime. explain why he is incorrect in making this statement
bonufazy [111]

When you say that two numbers are relatively prime, it means that both numbers do not have a common factor except 1. Stephen is incorrect because 38 and 40 are both multiples of 2.

I hope I answered your question. Thank you <span>J</span>

5 0
2 years ago
Read 2 more answers
Xenia has 100,000,000 people. Of this population, 25,000,000 residents are below age 16, and 10.000,000 have given up looking fo
Goryan [66]

Answer: 45000

Step-by-step explanation:

5 0
2 years ago
An airplane's fuel tank is being filled with fuel at the rate of 150 gallons per minute. Which graph best represents y, the numb
beks73 [17]

Answer:

D

Step-by-step explanation:

Because 150 times 4 = 600.

3 0
2 years ago
Read 2 more answers
Jorge and Jillian have cell phones with different service providers. Jorge pays $50 a text month and $1 per text message sent. J
barxatty [35]

Answer:

When they send 25 texts each, their bills will be equal

Step-by-step explanation:

Let the number of text messages that makes their bill equal be x

Jorge will have a bill of = 50 + x(1) = 50 + x

Jillian will have a bill of = 72 + 0.12(x) = 72 + 0.12x

Since their bills will now be equal, we equate both

50 + x = 72 + 0.12x

72-50 = x-0.12x

22 = 0.88x

x = 22/0.88

x = 25 texts

4 0
2 years ago
Other questions:
  • Marissa buys a licorice candy rope to share with some friends. The rope is 30 and two thirds inches long. She begins to cut the
    12·1 answer
  • In an athletics team, tall members are three times more likely to win a medal than short members. this year the team has won 60
    7·1 answer
  • The graph below could be the graph of which exponential function?
    9·2 answers
  • Ben participated in a race. During the first half of the race, he walked 3 miles and ran at a rate of 5 miles per hour for x hou
    9·2 answers
  • The formula for the volume of a sphere is mc012-1.jpg. What is the formula solved for r? mc012-2.jpg mc012-3.jpg mc012-4.jpg mc0
    7·2 answers
  • −15x+4≤109 OR −6x+70&gt;−2
    15·2 answers
  • A stick 2 m long is placed vertically at point B. The top of the stick is in line with the top of a tree as seen from point A, w
    6·1 answer
  • A scuba diver is 33 feet below sea level, while a hiker is 64 feet above sea level directly overhead on the cliffs overlooking t
    14·2 answers
  • On a coordinate plane, 2 rectangles are shown. Rectangle P Q R S has points (1, 1), (1, 5), (3, 5), (1, 5). Rectangle P double-p
    12·2 answers
  • Problem number 26 of the Rhind Papyrus says: Find a quantity such that when it is added to StartFraction 1 Over 4 EndFraction of
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!