Using the hypergeometric distribution, it is found that there is a 0.0232 = 2.32% probability of getting exactly two winning numbers with one ticket.

<h3>What is the hypergeometric distribution formula?</h3>

The formula is:

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}$

$C_{n,x} = \frac{n!}{x!(n-x)!}$

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, the parameters are given as follows:

N =A + B = 54, k = 4, n = 4.

The probability of getting exactly two winning numbers with one ticket is P(X = 2), hence:

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}$

$P(X = 2) = h(2,54,4,4) = \frac{C_{4,2}C_{50,2}}{C_{54,4}} = 0.0232$

There is a 0.0232 = 2.32% probability of getting exactly two winning numbers with one ticket.

More can be learned about the hypergeometric distribution at brainly.com/question/24826394

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You have a credit card that has a balance of $3,589.90 and a credit limit of $5,000. How much is the balance over the acceptable

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3089.9 Hope it helps

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4 years ago

Help me find like terms, (multiple choice).

vichka [17]

Answer:

Like terms:

$\frac{1}{2}x^{2}$

1.25x²

-8x²

Step-by-step explanation:

Like terms are terms that have the same variable to the same exponent. In this case, the only like terms are those with the variable 'x' to the exponent of '2', or x². This would include the terms:

$\frac{1}{2}x^{2}$

1.25x²

-8x²

The term 5yx², also includes x², however, it also includes the variable 'y' which makes it 'unlike' the other terms.

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4 years ago

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Help with practice problem

fenix001 [56]

Answer:

y = 2x - 6

Step-by-step explanation:

For parallel lines, the mx (the slope) stays the same but the y-int changes.

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3 years ago