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Eva8 [605]
2 years ago
15

In a single line of people waiting to purchase tickets for a movie, there are currently 10 people behind Shandra. If 3 of the pe

ople who are currently in line ahead of Shandra purchase tickets and leave the line, and no one else leaves the line, there will be 8 people ahead of Shandra in line. How many people are in the line currently?A. 21B. 22C. 23D. 24E. 25
Mathematics
1 answer:
german2 years ago
8 0

Answer:

the Answer is b

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A ferry traveled \dfrac16 6 1 ​ start fraction, 1, divided by, 6, end fraction of the distance between two ports in \dfrac37 7 3
Ugo [173]

Answer:

<em>The ferry can travel \frac{7}{18} of the distance between the two ports in one hour.</em>

Step-by-step explanation:

A ferry traveled \frac{1}{6} of the distance between two ports in \frac{3}{7} hour.

Suppose, the ferry traveled x of the distance between the two ports in one hour.

So, the <u>equation according to the ratio of "distance" to "time"</u> will be.......

\frac{\frac{1}{6}}{\frac{3}{7}} =\frac{x}{1} \\ \\ x=\frac{1}{6}\times \frac{7}{3}= \frac{7}{18}

Thus, the ferry can travel \frac{7}{18} of the distance between the two ports in one hour.

5 0
2 years ago
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In seven years, Huang will be two times as old as he was last year. How old is he now?
kodGreya [7K]

He's 9 years old.  :-)

In seven years, he'll be 16, and 16 is two times older than 8 - the age he was last year.

5 0
2 years ago
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Bill, George, and Ross, in order, roll a die. The first one to roll an even number wins and the game is ended. What is the proba
hram777 [196]

Answer:0.5714\frac{1}{15}

Step-by-step explanation:

Given that Bill, George, and Ross, in order, roll a die.

The first one to roll an even number wins and the game is ended.

Since Bill starts the game he can win by throwing even number or lose by throwing odd number

P(win) = 0.5, otherwise, the die will go to George.  For Bill to win, both George and Ross should throw an odd number so that Bill again gets the chance with game non ending.

Thus we have Prob of Bill winning =P of Bill winning in I throw +P of Bill winning in his II chance of throw +....infinitely

To get back the dice once he loses probability

= p both throws odd = 0.5(0.5) = 0.25

Thus Prob for Bill winning

= 0.5+0.25(0.5)^2+0.25(0.5)^3(0.25)+...

This is an infinite geometric series with I term 0.5 and common ratio 0.125<1

Sum = \frac{a}{1-r} =\frac{0.5}{1-0.125} =0.5714

4 0
2 years ago
**60 PTS**
IgorC [24]
A. It is an experiment as the sales director is applying treatment ( the training ) to a group and recording the results.

B. I would have 250 sales representatives from each region take the training and 250 from each region to not take it so i can be able to see if it affects both regions differently. The representatives from each region would be chosen at random and the length of their training would be the same for all.

C. now you would only be able to have 200 people from each region train. this would lower the percentage of the impact the training had on the amount of sales ( if any) . For example, if the original 250 trained people in a region increased the sales in that region by 20 percent and 50 of those people ended up not actually training, the sales would have only increased by 16 percent.

D. correlational research is best to establish causality. for example, the amount of training the representatives got may affect how much they are able to sell. also the number of representatives trained may affect the amount sold
3 0
2 years ago
The product of a binomial and a trinomial is x 3 + 3 x 2 − x + 2 x 2 + 6 x − 2. Which expression is equivalent to this product a
Mazyrski [523]
X3+5x2+5×-2 is the correct answer.
4 0
2 years ago
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