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aksik [14]
2 years ago
9

You pick cards one at a time without replacement from an ordinary deck of 52 playing cards. what is the minimum number of cards

you must pick in order to guarantee that you get a pair?a. a pair (for example, two kings or two 5s). b. three of a kind (for example, three 7s).
Mathematics
1 answer:
pishuonlain [190]2 years ago
5 0

Answer:

a) 2

b) 3

Step-by-step explanation:

supposing you got lucky or the deck wasn't shuffled, the first 2 cards could very well be a pair (or the first 3 a three of a kind)

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Determine which of the following terms is a function​
Elanso [62]

Answer:

C

Step-by-step explanation:

C is most likely, depending on the math your working on.

7 0
3 years ago
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Which conclusions are valid given that ABCD is a parallelogram? Select True or False for each statement.
Burka [1]

it is true not false true

4 0
2 years ago
F(x) = lnx/x
My name is Ann [436]
f(x) = \frac{lnx}{x}

(a) f'(x) = \frac{d}{dx}[\frac{lnx}{x}]
Using the quotient rule:
f'(x) = \frac{\frac{1}{x} \cdot x - lnx}{x^{2}}
f'(x) = \frac{1 - lnx}{x^{2}}

For maximum, f'(x) = 0;
\frac{1 - lnx}{x} = 0
lnx = 1, x = e

(b) <em>Deduce:
</em>e^{x} \geq x^{e}, x > 0
<em>
Soln:</em> Since x = e is the greatest value, then f(e) ≥ f(x) > f(0)
\frac{ln(e)}{e} \geq \frac{lnx}{x}
\frac{1}{e} \geq \frac{lnx}{x}, since ln(e) is simply equal to 1

Now, since x > 0, then we don't have to worry about flipping the signs when multiplying by x.
\frac{x}{e} \geq lnx
x \geq elnx
x \geq ln(x^{e})

Taking the exponential to both sides will cancel with the natural logarithmic function in the right hand side to produce:
e^{x} \geq e^{ln(x^{e}})
e^{x} \geq x^{e}, as required.
3 0
3 years ago
Find the remaining trigonometric functions of θ based on the given information.csc θ = 257 and cos θ &lt; 0
katrin [286]
Cos(<span>θ) < 0, so we know it would be in Quadrant 2 or 3
then csc(</span>θ) = 257, but csc(θ) = \frac{1}{sin(θ)} = 257
==> sin(<span>θ) = \frac{1}{257}
it is positive, so now we can determine that is in Quadrant 2

sin(</span>θ) = opp./hyp both of opp and hyp are positive but adj suppose to negative because that way it leads the cos(<span>θ) < 0
</span>cos(<span>θ) = adj/hyp
</span>Pythereom to find the adj: 257^{2} -  1^{2}  = adj ==\ \textgreater \  adj  \sqrt{ 257^{2} -   1^{2} } ==\ \textgreater \  adj = 16 \sqrt{258}

cosθ = \frac{16 \sqrt{258} }{257} &#10;
tanθ = \frac{1}{16 \sqrt{258} }
cos<span>θ = </span>16 \sqrt{258}
6 0
3 years ago
If you have 9/10 of a pound of granola how many 1/5 pound bags can you fill ?
Lostsunrise [7]

Answer:

4

Step-by-step explanation:

1/5 is the same as 2/10. How many 2's can you put in 9? You can put 4.5 2's in a 9. However, filling half a bag does not fill the entire bag, so the answer would be 4. You can fill 4 full 1/5 pound bags with 9/10 pounds of granola.

3 0
3 years ago
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