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bezimeni [28]
3 years ago
9

Sandy is helping her uncle at this coffee shop. She observes that, when ordering coffee, 13 of customers select chocolate flavor

ing. To simulate the behavior of the next 5 customers, she lets the number 1 represent someone ordering chocolate, and she lets the numbers 2 or 3 represent someone ordering a different flavor. She writes the numbers 1, 2, and 3 on cards and mixes them up. Sandy then picks one card, records the result, and puts the card back. She does this process four more times to represent 5 customers and to complete 1 trial of the experiment. She repeats this experiment for a total of 10 trials. The results are recorded in the table. 12323 13123 22222 23111 11322 31112 23331 11231 32332 13111 Using this simulation, what is the probability that 3 or more of the next 5 customers will order chocolate? Enter your answer, as a fraction in simplified form, in the box.
Mathematics
1 answer:
Sophie [7]3 years ago
3 0
19/50 people will probably order chocolate
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Two triangles can be formed with the given information. Use the Law of Sines to solve the triangles.
EastWind [94]

Answer:

The Law of Sines applies to any triangle and works as follows:

a/sinA = b/sinB = c/sinC

We are attempting to solve for every angle and every side of the triangle. With the given information, A = 61°, a = 17, b = 19, we can solve for the unknown angle that is B.

a/sinA = b/sinB

17/sin61 = 19/sinB

sinB = (19/17)(sin61)

sinB = 0.9774

sin-1(sinB) = sin-1(0.9774)

B = 77.8°

With angle B we can solve for angle C and then side c.

A + B + C = 180°

C = 180° - A - B

C = 180° - 61° - 77.8°

C = 41.2°

a/sinA = c/sinC

17/sin61 = c/sin41.2

c = 17(sin41.2/sin61)

c = 12.8

The first solved triangle is:

A = 61°, a = 17, B = 77.8°, b = 19, C = 41.2°, c = 12.8

However, when we solved for angle B initially, that was not the only possible answer because of the fact that sinB = sin(180-B).

The other angle is simply 180°-77.8° = 102.2°. Therefore, angle B can also be 102.2° which will give us different values for c and C.

C = 180° - A - B

C = 180° - 61° - 102.2°

C = 16.8°

a/sinA = c/sinC

17/sin61 = c/sin16.8

c = 17(sin16.8/sin61)

c = 5.6

The complete second triangle has the following dimensions:

A = 61°, a = 17, B = 102.2°, b = 19, C = 16.8°, c = 5.6

The answer you are looking for is the first option given in the question:

B = 77.8°, C = 41.2°, c = 12.8; B = 102.2°, C = 16.8°, c = 5.6

Step-by-step explanation:

8 0
3 years ago
The points (0, 3), (4, 0), (9, 0), (0, 11), and (14, 0) are plotted on the graph. On a coordinate plane, points (0, 3), (4, 0),
Advocard [28]

Answer:

can you take a picture it might make it easier for me

3 0
3 years ago
Read 2 more answers
What is the mode?<br> What is the median?<br> What is the range?
Marina CMI [18]

<h2>ANSWER : </h2>

<h2><<< In this case, the mode is 9 seconds. The median is the middle number in a list of numbers ordered from smallest to largest. so 10 is the median of this set of results. The range is the difference between the lowest value and the highest value, so the range here is 15 - 9 = 6. </h2>

8 0
3 years ago
The sum of two numbers is 52. The smaller number is 18 less than the larger number. What are the numbers?
ch4aika [34]

x + y = 52

x = y - 18

Adding,

2x + y = 52 + y - 18

2x = 34

x = 17

y = x + 18 = 35

Check: x+y = 17+35 = 52, good

Answer: 17 and 35

7 0
3 years ago
Help me plz cant work it out
svetoff [14.1K]

Answer: 27.80

Step-by-step explanation:

(3/5) x 14 = 8.4

That's 4 of the 2 kilogram tubs and 1 of the 1 kilogram tub (gives 9 kilograms)

4 x 6.15 = 24.60

1 x 3.20 = 3.20

24.60 + 3.20 = 27.80

7 0
3 years ago
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