Answer:
The expected payout of the game is $230.46.
Step-by-step explanation:
The given table is
Payout Amount : $160 $4400 $145000
Probability : 0.146 0.024 0.0007
We need to find the expected payout of the game.
The formula for expected payout is

where, n is amount and P(x) is probability of that event. The value of n is negative for loss.
Using the above formula we get



Therefore the expected payout of the game is $230.46.
<u>Answer:</u>
1 cm : 10.5 km
<u>Step-by-step explanation:</u>
We are given that two towns are 31.5 km in real and are 3 cm apart on a map and we are to find the scale of the map.
For this, we can use the ratio method.



Therefore, the scale of the map would be 1 cm : 10.5 km.
Hey there!
<u>Find </u><u>f(</u><u>-</u><u>3</u><u>)</u><u> </u><u>:</u>
f(-3) = 8 ✅
f(x) = -x + 5
<em>></em><em>></em><em> </em><em>Substitute </em><em>-</em><em>3</em><em> </em><em>for </em><em>x </em><em>in </em><em>f(</em><em>x)</em><em> </em><em>:</em><em> </em>
f(-3) = -(-3) + 5
f(-3) = 3 + 5
f(-3) = 8
Therefore, your answer is f(-3) = 8
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