There would be 1,320 different ways, just multiply all the possible front runners 12 second runners 11 and third runners 10, 12x11x10=1,320
For each coin, there are <u>2 outcomes</u>, heads (H) or tails (T), so for the <u>3 coins</u>, the number of outcomes are:
2 x 2 x 2 = <u>8 outcomes:</u>
HHH / HHT / HTH / THH / TTT / TTH / THT / HTT
Out of all these outcomes, there are <u>3 ways</u>, we get exactly 2 Heads:
HHT / HTH / THH
So, the probability of exactly 2 coins landing on Heads is 3/8, or 0.375
The first space is for the slope, which would be 2. The second is for the y-intercept, which is 110.
So if you fill those in, it would be N=2M+110
The area of rectangle ABCD can be expressed in simplified form as: 8y^2 - 10y.
<h3>How to Calculate the Area of a Rectangle?</h3>
The area of a rectangle is calculated using:
Area = (length)(height).
We are given the following:
Length of rectangle ABCD = side DC = 4y - 5
Height of rectangle ABCD = side AD = 2y
The area of rectangle ABCD = (length)(height) = (4y - 5)(2y).
Expand the expression
The area of rectangle ABCD = 2y(4y) - 2y(5) [distributive property of multiplication]
The area of rectangle ABCD = 8y^2 - 10y
Thus, the area of rectangle ABCD can be expressed in simplified form as: 8y^2 - 10y.
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