Denelle draws one card from a standard deck of 52 cards. Determine the probability of drawing either a two or a queen.

1 answer:

4 0

There are four queens in a deck of cards, so the probability of drawing a queen is 4/52. There is also a 4/52 chance of drawing a two. Because you can draw either a two or Queen, you add the probability of each.

4/52 + 4/52 = 8/52

8/52 can be simplified to 2/13

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3 years ago

Evaluate the expression:<br><br> x^2+2x−xy when x = 250 and y = −120

NikAS [45]

Answer:

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Step-by-step explanation:

Substituting 250 for x and -120 for y, we get:

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3 years ago

Determine the nth term for each of the following sequences: 2,5,8,11,14,..

Tanya [424]

To determine the nth term, we must create a function.

f(n) = 1st term + common difference (n - 1)

n = term you are looking for
1st term = 1st number in the sequence
common difference = the difference between two consecutive numbers in the sequence.

based on the above sequence, the 1st term is 2, its common difference is 3.

f(n) = 2 + 3(n-1)

Assuming we are looking for the 5th term
f(5) = 2 + 3(5-1)
= 2 + 3(4)
= 2 + 12
f(5) = 14 as you can see in the above sequence 14 is the 5th term.

For any other value of the nth term, simply substitute n by the number of the term and solve the equation.

8 0

3 years ago

Solve the initial-value problem<br><br> y' = x^4 - \frac{1}{x}y, y(1) = 1.

natta225 [31]

The ODE is linear:

$y'=x^4-\dfrac yx$