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Fudgin [204]
3 years ago
13

Find the value of x so that the function has the given value. f(x) = 6x – 9; f() = 51

Mathematics
1 answer:
bazaltina [42]3 years ago
7 0
The answer to this is 10

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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
Correct answer only need urgent help
Andreas93 [3]

Answer:

Step-by-step explanation:

Use the formule V=4/3 *Pi*R^3

where R =10

so V=4/3*Pi*10^3

v= 4000Pi/3 =4188.7902

8 0
2 years ago
Sekhar gives a quarter of his sweets to Renu and then gives 5 sweets to Raji. He has
Feliz [49]

Answer:

16 sweets

Step-by-step explanation:

Number of sweet that Sekhar had = x

Sweets given to Renu = (1/4) of x = \frac{1}{4}x

Sweets given to Raji = 5

Remaining sweets = 7

x = \frac{1}{4}x +5 + 7\\\\x -\frac{1}{4}x = 12\\\\\frac{4*x}{1*4}x-\frac{1}{4}x = 12\\\\\frac{4x}{4}-\frac{1}{4}x= 12\\\\\frac{3x}{4}=12\\\\x = 12*\frac{4}{3}\\\\x=4*4\\\\x=16

6 0
2 years ago
How to solve inequalities
sertanlavr [38]
Add or subtract numbers from both sides
4 0
3 years ago
Solve the inequality for w
kobusy [5.1K]

Answer:

w ≥ 23

Step-by-step explanation:

Add 3 to both sides of this inequality, obtaining:

w ≥ 23.  In other words, w must be 23 or larger.  Symbolically:  [23, infinity)

3 0
3 years ago
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