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brilliants [131]
3 years ago
12

Simba Travel Agency arranges trips for climbing Mount Kilimanjaro. For each trip, they charge an initial fee of $100 in addition

to a constant fee for each vertical meter climbed. For instance, the price for climbing to the Shira Volcanic Cone, which is 3000 meters above the base of the mountain, is $400. Let F represent the fee (in dollars) of a trip where they climbed d vertical meters. Complete the equation for the relationship between the fee and vertical distance. F=
Mathematics
1 answer:
Naddika [18.5K]3 years ago
7 0

Answer:

F = 100 + 0.1d

Step-by-step explanation:

  • Initial charge is $100
  • Price for climbing 3000 m = 400

<u>Then equation to find a fee per vertical distance:</u>

  • 100+3000x = 400
  • 3000x = 300
  • x = 300/3000
  • x = $0.1 per/m

So the fee for climbing vertical distance is $0.1 per meter.

  • Vertical distance = d m
  • Total cost = F

<u>Then, required equation is:</u>

  • F = 100 + 0.1d

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Complete question :

70% of a certain species of tomato live after transplanting from pot to garden. Najib transplants 3 of these tomato plants. Assume that the plants live independently of each other. Let X = the number of tomato plants that live.

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You may round your answer to the nearest hundredth.

Answer:

0.44

Step-by-step explanation:

Given that :

P(live after transplanting) = 0.7

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P(x = x) = nCx * p^x * (1 - p)^(n-x)

P(x = 2) = 3C2 * 0.7^2 * 0.3^(3-2)

P(x = 2) = 3C2 * 0.7^2 * 0.3^1

P(x = 2) = 3 * 0.49 * 0.3

P(x = 2) = 0.441

= 0.44 ( nearest hundredth)

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3 years ago
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If α and β are the zeroes of the polynomial ax^2 + bx + c, find the value of α^2 + β^2
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Answer:

Step-by-step explanation:

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