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Musya8 [376]
3 years ago
14

Roger is x centimeters tall and Olivia is y centimeters tall. Their oldest sister, Isabella, is 25 centimeters shorter than the

double of the sum of Roger and Olivia’s height. Write an expression for Isabella’s height
Mathematics
1 answer:
Evgen [1.6K]3 years ago
8 0

Answer: 2(x+y)-25

Step-by-step explanation:

First, we need to show the sum of Roger and Olivia's heights. If Roger is x and Olivia is y, the sum is <em>x+y</em>

Next, we need to double that. To double something we multiply it by 2. Since we need double the expression we found above, we put it in parentheses. So the doubled sum is shown as <em>2(x+y)</em>

Finally, we need to show that Isabella is 25 centimeters shorter than the doubled sum. To do that, subtract 25.

The final expression for Isabella's height is 2(x+y)-25

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Answer:

Option 3 is right

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How many digits are in the number 345?
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Answer:

Hi

Step-by-step explanation:

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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
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How to change 9.15 to a fraction
bagirrra123 [75]
The 1 is in the tenths place and the 5 is in the hundredths place, so we know that the denominator will be 100.
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9 \frac{15}{100}

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Now, to get the fully simplified mixed number, divide the numerator and denominator both by the GCF.

9 \frac{15:5}{100:5}  \\  \\ 9 \frac{3}{20}

To convert the mixed number into an improper fraction, multiply the whole number by the denominator and add it to the numerator, keeping the denominator. This will be your final answer.

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3 0
3 years ago
Help please urgent hmwk
Galina-37 [17]

ab^2 = be^2 + ae^2  pythagorean theorem  e is the point below b

6.5^2 = 6^2 + ae^2

42.25 = 36 +ae^2

6.25 = ae^2

2.5 = ae

23 = ae +ef +fd                                 f is the point below c

23 = 2.5 + 9 +fd

fd = 11.5

tan D = opp/adj

tan D= cf /fd

tan  D = 6/11.5

D = tan^-1 (6/11.5)

D =27.5528

D = 27.6 degrees


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2 years ago
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