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den301095 [7]
3 years ago
5

The equation y = 11x describes the amount of money Louis earns, where x is the number of hours he works and y is the amount of m

oney he earns.
The table shows the amount of money Carl earns for different numbers of hours worked.
(a) How much money does Carl earn per hour? Show your work on how you found the constant of proportionality for both.
(b) Who earns more per hour? Justify your answer by comparing the two. Please use complete sentences.
(c) Draw a graph that represents Carl’s earnings over time in hours. Remember to label the axes with the real world quantities that x and y represent. Please use the graph that has been provided

Mathematics
1 answer:
inna [77]3 years ago
8 0

Answer:

Carl�s Earnings

Time (h) 3 5 8 10

Money earned

($) 45 75 120 150

---

Louis's rate is obviously 12 dollars per hour.

Step-by-step explanation:

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a) removing a vowel, not replacing it, and then removing another vowel

Step-by-step explanation:

This question is from the topic Probability. In Probability, a dependent event is one in which the outcome of one event alters or changes the outcome of another event. <u>A classic example of this is seen when sampling without replacement is done</u>. When sampling without replacement is done, the outcome of another event within the same set changes. When sampling with replacement is done, the outcome of the events are independent because every item in the population still has an equal chance of being chosen. However, in the case of sampling without replacement, once an item has been selected from a population, the outcome of every other event after it is altered based on the item that was initially chosen.

Let's assume that the bag has 26 tiles (one for each alphabet from a - z)

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If a vowel or consonant is removed & is replaced, we have:

Pr (choosing "a") = number of item ÷ population

Pr = 1 ÷ 26 = 1/26

Pr (choosing "y") = 1 ÷ 26 = 1/26

Doing this for over & over again, produces the same probability

However, if an item was selected without replacement, we have:

Pr (choosing "a") = 1 ÷ 26 = 1/26

Without replacement implies that if I choose tile letter "a", tile letter "a" will not be included in subsequent events, hence:

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Without replacement, population = 24

Pr (choosing "y") = 1 ÷ 24 = 1/24

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