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Amiraneli [1.4K]
2 years ago
15

A plumber charges $25 to come to a home, and $15 per hour for a repair. Which equation gives the total cost, y, for a repair tha

t lasts x hours?

Mathematics
1 answer:
pogonyaev2 years ago
5 0

Answer:

15x + 25 = y

Step-by-step explanation:

$25 is a fixed cost and will have to be paid if the plumber comes and $15 times the number of hours it takes to do the repair is the variable cost. 'x' in this case is the number of hours. So the equation will be 15x + 25 = y

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Every 4 seconds, a ski lift chair rises 14 feet. Describe the relationship between the height of the chair and the time.
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Write the quadratic equation given the following points.<br> (1,-2) (2,-4) (3,-4)
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A consumer products company found that 44​% of successful products also received favorable results from test market​ research, w
Korolek [52]

Answer:

  1. 0.80
  2. 0.289
  3. 0.20
  4. 0.711

Step-by-step explanation:

Given:

P(S\cap F)=0.44\\P(S\cap F^{c})=0.13\\P(S^{c}\cap F^{c}) = 0.32\\P(S^{c}\cap F) = 0.11

The rule of total probability states that:

P(A) = P(A\cap B) + P(A\cap B^{c})

Compute the individual probabilities as follows:

P(S) = P(S\cap F) + P(S\cap F^{c})\\=0.44+0.13\\0.57

P(S^{c}) = 1 - P(S)\\=1-0.57\\=0.43

P(F) = P(S\cap F) + P(S^{c}\cap F)\\=0.44+0.11\\=0.55

P(F^{c})=1-P(F)\\=1-0.55\\=0.45

Conditional probability of an event A given B is:

P(A|B)=\frac{P(A\cap B)}{P(B)}

  • Compute the value of P(S|F):

         P(S|F)=\frac{P(S\cap F)}{P(F)}\\=\frac{0.44}{0.55}\\=0.80

  • Compute the value of P(S|F^{c})

        P(S|F^{c})=\frac{P(S\cap F^{c})}{P(F^{c})}\\=\frac{0.13}{0.45}\\=0.289

  • Compute the value of P(S^{c}|F)

        P(S^{c}|F)=\frac{P(S^{c}\cap F)}{P(F}\\=\frac{0.11}{0.55}\\=0.20

  • Compute the value ofP(S^{c}|F^{c})

       P(S^{c}|F^{c})=\frac{P(S^{c}\cap F^{c})}{P(F^{c})}\\=\frac{0.32}{0.45}\\=0.711

3 0
3 years ago
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