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
.
- 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
- In the other cases, Ayo wins £1.40, with
probability.
Hence, his expected profit for a single game is:
For 216 games, the expected value is:
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
A negative balance of money could represent debt or money owed.
Recall that
sin(<em>a</em> + <em>b</em>) = sin(<em>a</em>) cos(<em>b</em>) + cos(<em>a</em>) sin(<em>b</em>)
sin(<em>a</em> - <em>b</em>) = sin(<em>a</em>) cos(<em>b</em>) - cos(<em>a</em>) sin(<em>b</em>)
Adding these together gives
sin(<em>a</em> + <em>b</em>) + sin(<em>a</em> - <em>b</em>) = 2 sin(<em>a</em>) cos(<em>b</em>)
To get 14 cos(39<em>x</em>) sin(19<em>x</em>) on the right side, multiply both sides by 7 and replace <em>a</em> = 19<em>x</em> and <em>b</em> = 39<em>x</em> :
7 (sin(19<em>x</em> + 39<em>x</em>) + sin(19<em>x</em> - 39<em>x</em>)) = 14 cos(39<em>x</em>) sin(19<em>x</em>)
7 (sin(58<em>x</em>) + sin(-20<em>x</em>)) = 14 cos(39<em>x</em>) sin(19<em>x</em>)
7 (sin(58<em>x</em>) - sin(20<em>x</em>)) = 14 cos(39<em>x</em>) sin(19<em>x</em>)
Can you please complete your question
Answer:
Area = 1.54
Step-by-step explanation:
Area = π
π = 3.14
diameter = 1.4
radius (half of diameter) = 0.7
Area = 3.14 x 
Area = 3.14 x 0.49
Area = 1.5386
round to the nearest hundredth:
1.5386 = 1.54
