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Lana71 [14]
3 years ago
9

Tamara was asked to write an example of a linear functional relationship. She wrote this example:

Mathematics
1 answer:
Llana [10]3 years ago
8 0

Answer:

Tamara's example is in fact an example that represents a linear functional relationship.

  • This is because the cost of baby-sitting is linearly related to the amount of hours the nany spend with the child: the more hours the nany spends with the child, the higher the cost of baby-sitting, and this relation is constant: for every extra hour the cost increases at a constant rate of $6.5.
  • If we want to represent the total cost of baby-sitting in a graph, taking the variable "y" as the total cost of baby-sitting and the variable "x" as the amount of hours the nany remains with the baby, y=5+6.5x (see the graph attached).
  • The relation is linear because the cost increases proportionally with the amount of hours ($6.5 per hour).
  • See table attached, were you can see the increses in total cost of baby sitting (y) when the amount of hours (x) increases.

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Andreyy89

Part (a)

The experimental or empirical probability is based on the results shown in the table. There are 13 instances of grey out of 50 spins total. Therefore, we end up with an experimental probability of 13/50. This converts to the decimal form 0.26

<h3>Answer:  0.26</h3>

===============================================

Part (b)

Since each slice is of equal size, this means theoretically each slice should have the same chance of being landed on. We have 3 grey slices out of 10 total. The probability of landing on a grey space is 3/10 = 0.3

<h3>Answer:  0.3</h3>

===============================================

Part (c)

<h3>Answer: Choice A) </h3>

As the number of spins increases, we expect the experimental and theoretical probabilities to become closer, though they might not be equal.

The theoretical probability is locked to 0.3 the whole time (only the experimental probability changes). This is according to the Law of Large Numbers.

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Step-by-step explanation:

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Step-by-step explanation:

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