What is the range of the data in this stem-and-leaf plot? 2 14 19 32.5 Stem and leaf plot. Vertical line separates each stem fro
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The expected value of the winnings from the game is $4
<h3>How to determine the expected value?</h3>The payout probability distribution is given as:
Payout ($) 2 4 6 8 10
Probability 0.5 0.2 0.15 0.1 0.05
The expected value is then calculated as:
This gives
E(x) = 2 * 0.5 + 4 * 0.2 + 6 * 0.15 + 8 * 0.1 + 10 * 0.05
Evaluate the expression
E(x) = 4
Hence, the expected value of the winnings from the game is $4
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If two similar triangles have sides in the ratio a : b, then their areas are in the ratio a² : b².
We have the ratio:
Area of the smaler triangle = x
Area of the larger triangle = 567 cm²
Therefore we have the equation: