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Amiraneli [1.4K]
3 years ago
15

While cleaning, Tim discovers eighteen decks of standard playing cards (each deck has 52-cards composed of 13 hearts, clubs, dia

monds, and spades). For this problem use the following value assignment Ace = 1, Jack = 11, Queen =12, and King = 13. a) Tim randomly selects 22 cards from one of the decks. If we let X denote the number of cards in Tim's hand that have a value greater than 5. Determine the distribution, parameter(s), and support of X. b) Determine the probability that Tim has 12 or 13 cards with a value above 5 in his hand. c) What is the expected number of cards in Tim's hand that will be at most 5? d) Tim decides to combine all eighteen decks into one pile and randomize the cards. Tim will randomly select 25 cards from the pile and will calculate a probability related to the number of those cards that are greater than 5? Is there a valid approximation that can be used to answer this question? If so, state the distribution, parameter(s) and support, along with the reason that the approximation is valid. If not, explain why not. e) If you stated that there is a valid approximation in part d) use this to find the probability that exactly 20 of the 25 selected cards have a value greater than 5. If not, use the exact distribution to compute this probability.
Mathematics
1 answer:
Sidana [21]3 years ago
6 0

Answer:

multiply all off that and get your andser

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The denominator of the second fraction can be factored as (a-2)(2a-7), then it becomes doable. You cancel the (2a-7) factors, and are left with:

\frac{3a^2}{a(a-2)} \implies \frac{3a}{a-2}

Do note that you have erased the fact that a≠0 and a≠7/2, so you should always mention that.


7 0
3 years ago
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A) If it takes 125 chinchillas to make a coat and he needs to make 10 coats, how many chinchillas must Barton have by the end of
IrinaK [193]
A) 125 * 10 = 1250 chinchillas in a year;
1250 * 2 = 2500 chinchillas in two years;

b) y = x + 433, where 433 = 933 - 500;

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7 0
3 years ago
Factor the quadratic expression in the equation y=2x^2+28x+96 and use the factors to find the zeros of the equation. Then, use t
gavmur [86]

Answer:

x=-7

Step-by-step explanation:

We have been given an equation y=2x^2+28x+96. We are asked to find the zeros of equation by factoring and then find the line of symmetry of the parabola.

Let us factor our given equation as:

2x^2+28x+96=0

Dividing both sides by 2:

x^2+14x+48=0

Splitting the middle term:

x^2+6x+8x+48=0

(x^2+6x)+(8x+48)=0

x(x+6)+8(x+6)=0

(x+8)(x+6)=0

Using zero product property:

(x+8)=0\text{ (or) }(x+6)=0

x+8=0\text{ (or) }x+6=0

x=-8\text{ (or) }x=-6

Therefore, the zeros of the given equation are x=-8\text{ (or) }x=-6.

We know that the line of symmetry of a parabola is equal to the x-coordinate of vertex of parabola.

We also know that x-coordinate of vertex of parabola is equal to the average of zeros. So x-coordinate of vertex of parabola would be:

\frac{-8+(-6)}{2}=\frac{-14}{2}=-7

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4 0
3 years ago
The Frill family and the Smith family go to the movies.
Sati [7]

Step-by-step explanation:

Let a be the price of 1 adult ticket.

Let c be the price of 1 child ticket.

given,

6a + 2c = 124

as equation 1,

and

3a + 5c = 100

as equation 2.

Now we will solve for a and c using elimination method of simultaneous equations.

Now we multiply equation 2 by 2 to eliminate a and solve for c.

3a \times 2 + 5c \times 2 = 100 \times 2 \\ 6a + 10c = 200

This new equation will be equation 3.

Now we will use equation 1 - equation 3 to eliminate a and solve for c.

(6a - 6a) + (2c - 10c) = 124 - 200 \\ 0 + ( - 8c) =  - 76 \\  - 8c =  - 76 \\ c =  - 76 \div  - 8 \\  = 9.5

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Therefore one adult ticket will cost $17.50 and one child ticket will cost $9.50.

7 0
3 years ago
Please help.<br> Is algebra.<br> PLEASE HELP NO LINKS OR FILES.<br> I don't want links.
alexandr1967 [171]

9514 1404 393

Answer:

  9n^4

Step-by-step explanation:

The divisor and quotient can be interchanged to find the divisor:

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Such division is carried out by first finding the quotient of the highest-degree terms:

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This value is used to multiply the denominator and subtract that product from the numerator to find the new numerator. The new numerator is zero, so the value that goes in Blank 1 is ...

  9n^4

_____

The attachment shows the long division.

7 0
3 years ago
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