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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<u>Answer:</u>
D. Urvi multiplied with the reciprocal of the dividend instead of the reciprocal of the divisor.
<u>Step-by-step explanation:</u>
We are given that Urvi solved a fraction division problem using the rule “multiply by the reciprocal.”
The "multiply by the reciprocal” states that you take the reciprocal of the divisor (denominator) and multiply with the dividend (as it is).
But here we can see from the calculations made by Urvi that she took the reciprocal of the dividend and not the divisor.
Therefore, the correct answer option is D. Urvi multiplied with the reciprocal of the dividend instead of the reciprocal of the divisor.
6 potted plants can be arranged 720 different ways.
Let d = # of dimes
Let q = # of quarters
equation #1: number of coins
d + q = 1234
equation #2: value of coins
0.10d + 0.25q = 290.05
Solve #1 for d:
d=1234-q
Sub #1 into #2 and solve for q:
0.10d + 0.25q = 290.05
0.10(1234-q) + 0.25q = 290.05
123.4 - 0.10q + 0.25q = 290.05
0.15q = 166.65
q = 1111
Now go back to d=1234-q and sub in 1111 for q to find d:
d = 1234 - 1111
d = 123
1111 quarters and 123 dimes.
