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finlep [7]
3 years ago
13

(MC)

Mathematics
1 answer:
Juli2301 [7.4K]3 years ago
6 0

Answer:

Square root 112 Units.

Step-by-step explanation:

See the image attached for the work.

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Which of these polygons is not formed by the cross-section created when a plane intersects a cube? Select all that are possible.
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Circle

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There are no curves in a cube to make a circular cross section, and there aren't enough edges to make an octagon (just visualize)

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Martha is 25 years old, owns her car, but walks to work. Her collision
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Write the answer as an algebraic expression, then evaluate using the given values:
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Answer:

40+1

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243.875 to nearest tenth, hundredth, ten and hundred
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If the number you are rounding is followed by 5, 6, 7, 8, or 9, round the number up (+1).


If the number you are rounding is followed by 0, 1, 2, 3, or 4, round the number down (no change).

243.8\underline{7}5\approx243.9\\\\243.87\underline{5}\approx243.88\\\\2\underline{4}3.875\approx200
7 0
3 years ago
A game popular in Nevada gambling casinos is Keno, which is played as follows: Twenty numbers are selected at random by the casi
boyakko [2]

The missing part in the question;

and the payoff is $2.20 won for every dollar bet. (As the player’s probability of winning in this case is \dfrac{1}{4}........

Also:

For such a bet, the casino pays off as shown in the following table.

The table can be shown as:

Keno Payoffs in 10 Number bets

Number of matches        Dollars won for each $1 bet

0  -   4                                        -1

5                                                  1

6                                                  17

7                                                  179

8                                                 1299

9                                                 2599

10                                               24999

Answer:

Step-by-step explanation:

Given that:

Twenty numbers are selected at random by the casino from the set of numbers 1 through 80

A player can select from 1 to 15 numbers; a win occurs if some fraction of the player’s chosen subset matches any of the 20 numbers drawn by the house

Let assume X to represent the numbers of player chooses which are in the Casino-selected-set of 20.

Let assume the random variable X has a hypergeometric distribution with parameters  N= 80 and m =20.

Then, the probability mass function of a hypergeometric distribution can be defined as:

P(X=k)=\dfrac{(^m_k)(^{N-m}_{n-k})}{(^N_n)}, k =1,2,3 ... n

Now; the probability that i out of  n numbers chosen by the player among 20  can be expressed as:

P(X=k)=\dfrac{(^{20}_k)(^{60}_{n-k})}{(^{80}_n)}, k =1,2,3 ... n

Also; given that ; When the player selects 2 numbers, a payoff (of odds) of $12 won for every $1 bet is made when both numbers are among the 20

So; n= 2; k= 2

Then :

Probability P ( Both number in the set 20)  =\dfrac{(^{20}_2)(^{60}_{2-2})}{(^{80}_2)}

Probability P ( Both number in the set 20) = \dfrac{20*19}{80*79}

Probability P ( Both number in the set 20) =\dfrac{19}{316}

Probability P ( Both number in the set 20) =\dfrac{1}{16.63}

Thus; the payoff odd for =\dfrac{1}{16.63} is 16.63:1 ,as such fair payoff in this case is $16.63

Again;

Let assume X to represent the numbers of player chooses which are in the Casino-selected-set of 20.

Let assume the random variable X has a hypergeometric distribution with parameters  N= 80 and m =20.

The probability mass function of the hypergeometric distribution can be defined as :

P(X=k)=\dfrac{(^m_k)(^{N-m}_{n-k})}{(^N_n)}, k =1,2,3 ... n

Now; the probability that i out of  n numbers chosen by the player among 20  can be expressed as:

P(n,k)=\dfrac{(^{20}_k)(^{60}_{n-k})}{(^{80}_n)}, k =1,2,3 ... n

From the table able ; the expected payoff can be computed as shown in the attached diagram below. Thanks.

8 0
3 years ago
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