Is (1, 2) a solution to this system of equations? 10x + 4y = 18 x + 9y = 19

1/8÷2= as mixed # if possible

nikdorinn [45]

There is no mix number, it is 1/16.

4 0

2 years ago

Read 2 more answers

Teri bought 360 rubber band 2 make a bracelet

Varvara68 [4.7K]

Teri used 130 red bands on the 1st bracelet

Step-by-step explanation:

Teri bought 360 rubber band to make a bracelet

15% of the bands were white and the rest were red
After using 140 bands to make her 1st bracelet , 20% of the remaining bands were white

We need to find how many red bands did Teri use on the 1st bracelet

∵ Teri bought 360 rubber bands

∵ 15% of the bands were white

- Find the number of white bands by multiplying 155 by 360

∴ The number of the white bands = 15% × 360

∵ 155 = 15 ÷ 100 = 0.15

∴ The number of the white bands = 0.15 × 360 = 54

∵ She used 140 bands to make the first bracelet

∴ The remaining band = 360 - 140 = 220

∵ 20% of the remaining bands were white

- Find the number remaining white bands by multiplying 20% by 220

∴ The number of remaining white bands = 20% × 220

∵ 20% = 20 ÷ 100 = 0.2

∴ The number of remaining white bands = 0.2 × 220 = 44

- Subtract 44 from 54 to find the number of white bands used

in the 1st bracelet

∴ The number of white bands in the 1st bracelet = 54 - 44 = 10

∵ The number of bands in the 1st bracelet is 140

∵ 10 of them were white

∴ The number of red bands in the 1st bracelet = 140 - 10 = 130

Teri used 130 red bands on the 1st bracelet

Learn more:

You can learn more about the word problems in brainly.com/question/10557938

#LearnwithBrainly

4 0

3 years ago

During second period Jeff completed a grammar worksheet , of the 76 question , Jeff got 25% right , how many questions did Jeff

lana [24]

I believe the answer is 19

7 0

3 years ago

In a right triangle, the acute angles measure 2x + 50 and 3x degrees. What is the measure of the smallest angle of the triangle?

andrezito [222]

Since this is a right triangle the two acute angles must sum to 90 degrees because a triangle's angles must sum to 180 degrees.

2x+50+3x=90

5x+50=90

5x=40

x=8

So the smallest angle is 3x=3*8=24°

4 0

2 years ago

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