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umka21 [38]
3 years ago
11

Kyle works at a donut​ factory, where a​ 10-oz cup of coffee costs 95cents¢​, a​ 14-oz cup costs​ $1.15, and a​ 20-oz cup costs​

$1.50. During one busy​ period, Kyle served 35 cups of​ coffee, using 544 ounces of​ coffee, while collecting a total of ​$43.60 How many cups of each size did Kyle​ fill
Mathematics
1 answer:
Hitman42 [59]3 years ago
7 0
Let s, m, L represent the number of small, medium, and Large cups of coffee Kyle filled.
  s +m +L = 35 . . . . . . . . . . . . . . . served 35 cups
  10s +14m +20L = 544 . . . . . . . . using 544 ounces of coffee
  .95s +1.15m +1.50L = 43.60 . . . while collecting $43.60

Solving these 3 linear equations in 3 unknowns by your favorite method, you find
  Kyle filled 6 small cups (10 oz)
  Kyle filled 16 medium cups (14 oz)
  Kyle filled 13 Large cups (20 oz)

_____
Elimination is a reasonable way to start. Subtract 10 times the first equation from the second, and 0.95 times the first equation from the third. Then you have
  4m +10L = 194
  .2m +.55L = 10.35
Now, you can subtract .05 times the first of these equation from the last to get
  .05L = .65
  L = 13
Back-substituting gets you the values of the other variables.
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3 years ago
You deposit $365
777dan777 [17]
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5 0
3 years ago
According to an​ airline, flights on a certain route are on time 80 ​% of the time. suppose 10 flights are randomly selected and
natulia [17]
<span>(a) This is a binomial experiment since there are only two possible results for each data point: a flight is either on time (p = 80% = 0.8) or late (q = 1 - p = 1 - 0.8 = 0.2).
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P(r out of n) = (nCr)(p^r)(q^(n-r)), where n = 10 flights, r = the number of flights that arrive on time:
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​(c) Fewer than 7 flights are on time means that we must add up the probabilities for P(0/10) up to P(6/10).
Following the same formula (this can be done using a summation on a calculator, or using Excel, to make things faster):
P(0/10) + P(1/10) + ... + P(6/10) = 0.1209
This means that there is a 0.1209 chance that less than 7 flights will be on time.
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1 - 0.1209 = 0.8791.
So there is a 0.8791 chance that at least 7 flights arrive on time.
(e) For this, we must add up P(5/10) + P(6/10) + P(7/10), which gives us
0.0264 + 0.0881 + 0.2013 = 0.3158, so the probability that between 5 to 7 flights arrive on time is 0.3158.
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6 0
3 years ago
If the perimeter of a square garden is 84 feet, what is the area of the garden?
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I need help plz! It’s pre cal
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Please show a picture so that I can help you

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