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solniwko [45]
3 years ago
7

4. Which relation is a function?

Mathematics
1 answer:
postnew [5]3 years ago
8 0

<u>Answer:</u>

The last option choice [(1,3), (2,6), (3,9), (4,12)

<u>Step-by-step explanation:</u>

The key idea to understand in a function/relation is that each input can only have one output. Inputs are your x-variables and outputs are your y-variables.

In the first relation, you see the two points (3,4) and (3,5). 3 is your input [since its x] , however, it gives you two outputs [y's], 4 and 5. So you can cross out the first option.

In the second relation, look at the points (3,4) and (3,3). Again, both have the same input 3, but different outputs, 4 and 3. So you can cross out the second option.

In the third relation, look at all of the points. They all share a common input, 1, but different outputs, 2, 3, 4, and 5. So you can cross out the third option too.

Lastly, look at the last relation. They all have different inputs but the key thing to look at here is that each input only has one corresponding output. Thus, this is the right answer.

I hope this helps!

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What is the expanded form of this?
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Answer:

The first one

Step-by-step explanation:

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2 years ago
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Justin took a quiz with five multiple choice (A-D) and five true/false questions. How many different ways can he answer the ques
ankoles [38]

Answer:

32,768 ways

Step-by-step explanation:

True/ false questions = 5 ; number of options = 2 (True or false)

Ways of answering = 2^5 = (2 * 2 * 2 * 2 * 2) = 32

Number of Multiple choice questions = 5

Number of options (A - D) = 4 options

Ways of answering = 4^5 = (4 * 4 * 4 * 4 * 4) = 1024

32 * 1024 = 32,768 ways

4 0
3 years ago
Type the missing number in this sequence: 1, 2, 4, 8, , 32
vodka [1.7K]

Answer:

1,2,4,8,"16",32

Step-by-step explanation:

we are times by 2 on each one

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3 years ago
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The following data summarizes results from 889 pedestrian deaths that were caused by accidents. If one of the pedestrian deaths
pickupchik [31]

Answer:

P(A or B) = 0.291 +0.159 -0.0562=0.3938

Step-by-step explanation:

Previous concepts

The total probability rule is "used to find the probability of an event, A, when you don’t know enough about A’s probabilities to calculate it directly. Instead, you take a related event, B, and use that to calculate the probability for A".

Solution to the problem

The data given:

                                                             Pedestrian

                                       Intoxicated                       Not intoxicated     Total          

Intoxicated                           50                                        91                    141

Not intoxicated                    209                                     539                 748

Total                                     259                                      630                889

The rows on this case are associated to the tyep of Driver.

Let's define the following events:

A =Pedestrian was intoxicated

B= Driver was intoxicated

And we can find the probabilities for the events A and B like this with the info given:

P(A) = \frac{50+209}{889}=0.291

P(B) = \frac{50+91}{889}=0.159

We can find also the probaility that pedestrian was intoxicated AND driver was ​intoxicated, like this:

P(A and B) = \frac{50}{889}=0.0562

Because the intersection for the events A and B is 50 and the grand total is 889.

Now we can use the total rule of probability given by this:

P(A or B) = P(A) +P(B) -P(A and B)

And since w ehave everything to replace we got:

P(A or B) = 0.291 +0.159 -0.0562=0.3938

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solution:

vector N points to the left and up so the components Nx and Ny are negative and positive respectively

then ,

Nx = - N sinθ and Ny = N cosθ

3 0
3 years ago
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