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3 years ago

If XYZ is dilated by a scale factor of 3 about point Y, which of the following is true about A’ Y’?

Mathematics

1 answer:

Pepsi [2]3 years ago

7 0

Answer:

c) A’Y’ passes through the center of dilation

Step-by-step explanation:

Dilation is a type of transformation that can be used to resize the dimensions of a given figure. It does not affect the shape of the given figure, but retains its initial shape.

In the given question, dilating XYZ by a scale factor of 3 implies multiplying each side of the triangle XYZ by 3 about Y. This transformation would yield triangle X'Y'Z' and A'Y'.

Since the transformation is about point Y, A'Y' would pass through the center of dilation.

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According to a survey, 60 % of the residents of a city oppose a downtown casino. Of these 60 % about 8 out of 10 strongly opp

katrin [286]

Answer:

(a) 0.48

(b) 0.20

(c) it is not unusual for a radomly selected resident to oppose the casino and strongly oppose the casino.

Step-by-step explanation:

(a) Find the probability that a randomly selected resident opposes the casino and strongly opposes the casino.

The probability that a radomly selected resident opposes the casino and strongly opposes the cassino is the product of the two probabilities, that a resident opposes the casino and that it strongly opposes the casino (once it is in the first group) as it is shown below.

Use this notation:

Probability that a radomly selected resident opposes the casino: P(A)

Probability that a resident who opposes the casino strongly opposes it: P(B/A), because it is the probability of event B given the event A

i) Determine the probability that a radomly selected resident opposes the casino, P(A)

Probability = number of favorable outcomes / number of possible outcomes

P(A) is given as 60%, which in decimal form is 0.60

ii) Next, determine,the probability that a resident who opposes the casino strongly opposes it, P(B/A):

It is given as 8 out of 10 ⇒ P(B/A) = 8/10

iii) You want the probability of both events, which is the joint probability or intersection: P(A∩B).

So, you can use the definition of conditional probability:

P(B/A) = P(A∩B) / P(A)

iv) From which you can solve for P(A∩B)

P(A∩B) = P(B/A)×P(A) = (8/10)×(0.60) = 0.48

(b) Find the probability that a randomly selected resident who opposes the casino does not strongly oppose the casino.

In this case, you just want the complement of the probability that a radomly selected resident who opposes the casino does strongly oppose the casino, which is 1 - P(B/A) = 1 - 8/10 = 1 - 0.8 = 0.2.

(c) Would it be unusual for a randomly selected resident to oppose the casino and strongly oppose the casino?

You are being asked about the joint probability (PA∩B), which you found in the part (a) and it is 0.48.

That is almost 0.50 or half of the population, so you conclude it is not unusual for a radomly selected resident to oppose the casino and strongly oppose the casino.

8 0

3 years ago

If the experiment is consisting of rolling a fair die once, find:

Lerok [7]

question one

1, 2, 3, 4, 5, 6

question two

3/6 or 1/2

question three

3/6 or 1/2

question four

2/6 or 1/3

question five

4/6 or 2/3

you use the list from question one, and count how many fit the criteria and put that number over the total ( which is 6 in this case )

7 0

3 years ago

Which of the following functions is not linear?

Molodets [167]

Hi there! The answer is A.
Graph A. is not linear because it contains x^2 and therefore is a quadratic function.

5 0

4 years ago

Read 2 more answers

F(x)=2x² + 12, what is f(3) 3 12 18 30

Natali [406]

The answer to the question

8 0

3 years ago

Please help i think the answer is c but im not sure

katrin2010 [14]

Answer:

It's C

Step-by-step explanation:

Because the angle measurements are the same on rectangles and they have the same side lengths but the one on the right is a smaller rectangle which its only half the side of the bigger one.

7 0

3 years ago