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Setler [38]
3 years ago
15

HELP How many pieces 3/7 of a foot each can I make out of 7/2 feet of rope?

Mathematics
1 answer:
AVprozaik [17]3 years ago
4 0
Your answer is (8 1/6) hope it helps and have a great day!

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Ayo runs a fairground game.In each turn, a player rolls a fair dice numbered 1 - 6 and spins a fair spinner numbered 1 - 12.It c
aksik [14]

Using the definition of expected value, it is found that Ayo can be expected to make a profit of £55.8.

The <em>expected value</em> is given by the <u>sum of each outcome multiplied by it's respective probability.</u>

In this problem:

  • The player wins $6, that is, Ayo loses £6, if he rolls a 6 and spins a 1, hence the probability is \frac{1}{6} \times \frac{1}{12} = \frac{1}{72}.
  • The player wins $3, that is, Ayo loses £3, if he rolls a 3 on at least one of the spinner or the dice, hence, considering three cases(both and either the spinner of the dice), the probability is \frac{1}{6} \times \frac{1}{12} + \frac{1}{6} \times \frac{11}{12} + \frac{5}{6} \times \frac{1}{12} = \frac{1 + 11 + 5}{72} = \frac{17}{72}
  • In the other cases, Ayo wins £1.40, with 1 - \frac{18}{72} = \frac{54}{72} probability.

Hence, his expected profit for a single game is:

E(X) = -6\frac{1}{72} - 3\frac{17}{72} + 1.4\frac{54}{72} = \frac{-6 - 3(17) + 54(1.4)}{72} = 0.2583

For 216 games, the expected value is:

E = 216(0.2583) = 55.8

Ayo can be expected to make a profit of £55.8.

To learn more about expected value, you can take a look at brainly.com/question/24855677

6 0
2 years ago
A chemical company makes two brands of antifreeze. The first brand is 55 % pure antifreeze, and the second brand is 80 % pure an
Likurg_2 [28]

We have 55% and 80% antifreeze.  We need 90 gallons of 75%.  

F - 55% and E - 80%

A) F + E = 90

B) .55 F + .80 E = 67.50 (which is .75 * 90)  Multiplying A) by -.55

A) -.55 F -.55 E = -49.50 (which is -.55 * 90) then adding A) & B)

.25 E = 18

E = 72 gallons of 80% and

F = 18 gallons of 55%

********* DOUBLE CHECK ******************

72 * .80 = 57.60  and 18 * .55 = 9.90

57.60 + 9.90 = 67.50 gallons of antifreeze and we have 90 total gallons

(67.50 / 90) * 100 = 75% correct!

Source: 1728.com/mixture.htm


3 0
3 years ago
What is the simpler form of (6 + m^2) (6 -m^2)​
PtichkaEL [24]

Answer:

=36-m^4

Step-by-step explanation:

8 0
2 years ago
What should be completed first when simplifying 2(x - 3) + 6(4x + 1)?
Over [174]

Answer:

parantheses

Step-by-step explanation:

6 0
3 years ago
I need help with number 5
Tju [1.3M]

Answer:

B. BD = 9

Step-by-step explanation:

Simply set the 2 equations equal to each other (both are congruent due to perpendicular bisector):

6x + 3 = 3x = 6

3x + 3 = 6

3x = 3

x = 1

Then substitute 1 for <em>x</em> in BD

6(1) + 3

6 + 3

BD = 9

7 0
3 years ago
Read 2 more answers
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