13x - 11y = -12
-13x -13x
___________
-11y = -13x - 12
___ ______
-11 -11
-13x -12
y = _______
-11
Using the hypergeometric distribution, there is a 0.1786 = 17.86% probability that Ryan beats Matt in a landslide by choosing 3 Paper cards in a row.
<h3>What is the hypergeometric distribution formula?</h3>
The formula is:
The parameters are:
- x is the number of successes.
- N is the size of the population.
- n is the size of the sample.
- k is the total number of desired outcomes.
For this problem, we have that Ryan will win if he takes 3 Paper cards from a set of 8(5 paper and 3 scissors), hence the parameters are given as follows:
N = 8, k = 5, n = 3, x = 3.
Hence the probability is given by:
0.1786 = 17.86% probability that Ryan beats Matt in a landslide by choosing 3 Paper cards in a row.
More can be learned about the hypergeometric distribution at brainly.com/question/24826394
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Answer:
Step-by-step explanation:
2x - 13 - 8x + 5 ≥ -7
-6x - 8 ≥ -7
-6x ≥ 1
x ≤ -1/6
We have 2 similar triangles here so the correcponding sides are in the same proportion.:-
6/10 = 9 / x
6x = 90
x = 15
The elephant casts a shadow 15 feet long/
Answer: 10.5 ft^2
Step-by-step explanation: