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Lunna [17]
1 year ago
6

In a popular online role playing game, players can create detailed designs for theircharacter's "costumes," or appearance. Juan

sets up a website where players can buyand sell these costumes online. Information about the number of people who visitedthe website and the number of costumes purchased in a single day is listed below.31 visitors purchased no costume.26 visitors purchased exactly one costume.2 visitors purchased more than one costume.

Mathematics
1 answer:
Virty [35]1 year ago
4 0
P\approx0.90

1) The first thing we need to do is to find the total number of visitors. This is going to be our Sample Space

31+26+2=31+28=59 Visitors altogether

2) The next thing to do is to find the favorable event. Note that we can see that 26 people purchased only one costume.

3) The final and last step is to find the probability, so we can write out the following:

P=\frac{26}{59}=0.8965\approx0.90

Thus, this is the answer: 0.90

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Mike took clothes to the cleaners three times last month.​ First, brought 4 shirts and of slacks and paid ​$11.45. Then brought
GenaCL600 [577]

Complete Question:

Mike took clothes to the cleaners three times last month.​ First, brought 4 shirts and 1 pair of slacks and paid ​$11.45. Then brought ​7 shirts, 2 pairs of​ slacks, and 2 sports and paid ​$35.39. ​Finally, brought 5 shirts and 2 sports and paid ​$21.43 . How much was charged for each​ shirt, each pair of​ slacks, and each sports​ coat?

Answer:

The charges

For each Shirt = $1.49

For each pair of slacks = $5.49

For each sports coat = $6.99

Step-by-step explanation:

Let Shirt = a

Let pair of slacks = b

Let sports coat = c

First, brought 4 shirts and 1 pair of slacks and paid ​$11.45

= 4a + b = 11.45 ..........Equation 1

b = 11.45 - 4a

Then brought ​7 shirts, 2 pairs of​ slacks, and 2 sports and paid ​$35.39

= 7a + 2b + 2c = 35.39.........Equation 2

5 shirts and 2 sports and paid ​$21.43

5a + 2c = 21.43............Equation 3

Hence:

4a + b = 11.45 ..........Equation 1

7a + 2b + 2c = 35.39.........Equation 2

Using elimination method

Multiply Equation 2 by the coefficient of b = 1 in Equation 1

Multiply Equation 1 by the coefficient of b = 2 in Equation 2

8a + 2b = 22.9 .......Equation 4

7a + 2b + 2c = 35.39.........Equation 2

Subtracting Equation 2 from Equation 4

= a - 2c = -12.49 ........Equation 5

a = -12.49 + 2c

Subtituting -12.49 + 2c for a in Equation 3

5a + 2c = 21.43............Equation 3

5(-12.49 + 2c) + 2c = 21.43

= -62.45 + 10c + 2c = 21.43

Collecting like terms

10c + 2c = 21.43 + 62.45

12c = 83.88

c = 83.88/12

c = 6.99

5a + 2c = 21.43............Equation 3

Substituting 6.99 for c in Equation 3

5a + 2(6.99) = 21.43

5a + 13.98 = 21.43

5a = 21.43 - 13.98

5a = 7.45

a = 7.45/5

a = 1.49

4a + b = 11.45 ..........Equation 1

Substituting 1.49 for a in Equation 1

4(1.49) + b = 11.45

b = 11.45 - 4(1.49)

b = 11.45 - 5.96

b = 5.49

Therefore, since the charges

For each shirt = a

The charges for each Shirt = $1.49

For each pair of slacks = b

The charges for each pair of slacks = $5.49

For each sports coat = c

The charges for each sports coat = $6.99

3 0
3 years ago
I thought it was the second one
lawyer [7]

the second one y=(2/3)x

4 0
3 years ago
Read 2 more answers
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Veronika [31]
The answers to the first two systems of equations

3 0
2 years ago
What is the equation of the line, in standard form, that passes through (4, -3) and is parallel to the line whose equation is 4
Dmitry_Shevchenko [17]
   
<span>The equation is:   4x + y + a = 0

Point (4, -3)  </span>⇒  x = 4  and  y = - 3<span>

</span>⇒ 4 · 4 - 3 + a = 0
<span>
16 - 3 +a = 0

13 + a = 0

a = -13

</span>Ansver:   equation is:   4x + y - 13 = <span>0     OR     4x + y = 13
</span>


5 0
3 years ago
Read 2 more answers
The registration period for the race is under way, and as the word is getting out, the number of participants registering is gro
Olin [163]

y = a(1 + r)ˣ

a = 15  "<em>initial" means what you started with on the first day</em>

r = 6   <em>the rate it increased is the slope ((\frac{21 - 15}{2 - 1})</em>

y = 15(1 + 6)ˣ

Answer: y = 15(7)ˣ

3 0
3 years ago
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