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TEA [102]
2 years ago
7

Is the following relation a function? Yes No

Mathematics
1 answer:
svetlana [45]2 years ago
3 0

Answer:

Yes

Step-by-step explanation:

Because each value of x gives one and only one value of y

conversely, if each value of x gives more than one value for y, then it is not a function.

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Find the probability of being dealt a full house. (Round your answer to six decimal places.)?
vesna_86 [32]

I'm assuming a 5-card hand being dealt from a standard 52-card deck, and that there are no wild cards.

A full house is made up of a 3-of-a-kind and a 2-pair, both of different values since a 5-of-a-kind is impossible without wild cards.

Suppose we fix both card values, say aces and 2s. We get a full house if we are dealt 2 aces and 3 2s, or 3 aces and 2 2s.

The number of ways of drawing 2 aces and 3 2s is

\dbinom42\dbinom43=24

and the number of ways of drawing 3 aces and 2 2s is the same,

\dbinom43\dbinom42=24

so that for any two card values involved, there are 2*24 = 48 ways of getting a full house.

Now, count how many ways there are of doing this for any two choices of card value. Of 13 possible values, we are picking 2, so the total number of ways of getting a full house for any 2 values is

2\dbinom{13}2\dbinom42\dbinom43=3744

The total number of hands that can be drawn is

\dbinom{52}5=2,598,960

Then the probability of getting a full house is

\dfrac{2\binom{13}2\binom42\binom43}{\binom{52}5}=\dfrac6{4165}\approx\boxed{0.001441}

4 0
3 years ago
The diameter of a circle is:
Ann [662]

Answer:

The distance from an edge of a circle to another edge

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Find the value of 5.8 ÷ 1.2. Round your answer to the nearest hundredth. A. 5.24 B. 4.83 C. 6.96 D. 4.6
Sedaia [141]

5.8/1.2 = 58/12 = 4.83333333

rounded to the nearest hundredth

4.83

8 0
3 years ago
Read 2 more answers
Rhombus with diagonal lengths 9 ft and 4 ft. ( what's the area ? )
Alexeev081 [22]

Answer:

18

Step-by-step explanation:

4 0
3 years ago
Plz help!
GuDViN [60]

Answer:

5x - y = 27

Step-by-step explanation:

Slope is the direction of line and it is calculated as,

Slope = \frac{y-y_{1}}{x-x_{1}}


where (x₁, y₁) is any two points on the line.

Here, we have given that

Slope = 5  and (x₁, y₁) = (5, -2)

∴  5 = \frac{y-(-2)}{x-5}


⇒ 5(x - 5) = y + 2

⇒ 5x - 25 = y + 2

⇒ 5x - y = 27

Hence, the equation of a line is: 5x - y = 27

5 0
3 years ago
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