Answer:
Since both terms are perfect squares, factor using the difference of squares formula,
a
^2
−
b
^2
=
(
a
+
b
)
(
a
−
b
)
where
a
=
y
and
b
=
6
(
y
+
6
)
(
y
−
6
)
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
Answer:
48
Step-by-step explanation:
66*2=132
180-132=48
Answer: width = 21, length = 47
<u>Step-by-step explanation:</u>
Length (L) = 2w + 5
width (w) = w
Perimeter (P) = 136
P = 2L + 2w
136 = 2(2w + 5) + 2w <em>substituted the given values above</em>
136 = 4w + 10 + 2w <em>distributed 2 on the right side</em>
136 = 6w + 10 <em>added like terms (4w and 2w)</em>
126 = 6w <em>subtracted 10 from both sides</em>
21 = w <em>divided both sides by 6</em>
Length (L) = 2w + 5
= 2(21) + 5
= 42 + 5
= 47