Dennis used 3/8 of a bucket of paint,and Jackson used 5/8 of an identical bucket. Who used more paint?
2 answers:
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Answer:
The first option is the correct one, the area of the shaded portion of the circle is
[/tex](5 \pi -11.6)ft^2[/tex]
Step-by-step explanation:
Let us first consider the triangle + the shadow.
The full area of the circle is the radius squared times pi, so
A=
Since , the area of the triangle + the shaded area is one fifth of the area of the whole circle, thus
If we want to know the area of the shaded part of the circle, we must subtract the area of the triangle from .
The area of the triangle is given by
Thus the area of the shaded portion of the circle is
Answer:
The probability that she wins exactly once before she loses her initial capital is 0.243.
Step-by-step explanation:
The gambler commences with $30, i.e. she played 3 games.
Let <em>X</em> = number of games won by the gambler.
The probability of winning a game is, <em>p</em> = 0.10.
The random variable <em>X</em> follows a Binomial distribution, with probability mass function:
Compute the probability of exactly one winning as follows:
Thus, the probability that she wins exactly once before she loses her initial capital is 0.243.