The mean weight of the packages Joan shipped was 2.5 pounds. If Joan mailed four packages and three of them had weights of 1.8,
2 answers:
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Answer:
Consider the complete question is,
'The odds in favor of frank McKinney winning a hot dog eating contest are 2:9,
- Determine the probability that Frank will win the contest,
- Determine the probability that Frank will not win the contest'
Solution :
We know that,
Odds in favor : the ratio of the number of ways that an outcome can occur compared to how many ways it cannot occur.
We have,
So, total outcomes = 2 + 9 = 11,
Thus, the probability that Frank will win the contest =
And,
The probability that Frank will win the contest =
<h3>Answer: -2w^2 + 25w = 25 or -2w^2 + 25w - 25 = 0</h3>
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Explanation:
Refer to the diagram below. The width is w. We have two opposite and parallel sides equal to this. The other two parallel congruent sides are L = 25-2w meters long. We start with the total amount of fencing, and then subtract off the two width values, so 25-w-w = 25-2w.
The area of the rectangle is
Area = length*width
Area = L*W
Area = (25-2w)*w
Area = 25w - 2w^2
Area = -2w^2 + 25w
Set this equal to the desired area (25 square meters) to get
-2w^2 + 25w = 25
and we can subtract 25 from both sides to get everything on one side
-2w^2 + 25w - 25 = 0
side note: The two approximate solutions of this equation are w = 1.0961 and w = 11.4039 (use the quadratic formula or a graphing calculator to find this)