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3 years ago

Type the ordered pair that is the solution to these questions. 3x-y=13

Mathematics

1 answer:

Dvinal [7]3 years ago

3 0

Answer:

Here's 3 ordered pairs:

(0,-13)(1,-10)(2,-7)

Step-by-step explanation:

They should all be correct. It doesn't matter which one you choose.

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a school cafeteria is considering new menu options. the manager puts a comment box jn the cafeteria where students can anonymous

viktelen [127]

Answer:

No, it is not a representative sample

Step-by-step explanation:

The sampling technique used above is more of a random sampling than a representative sampling. Reason is that;

A representative sample is referred to as a group or set selected from a larger population that satisfactorily represent the population in study in accordance to whatever criteria is under study.

The criteria could be age, sex, class, etc.

Another reason why it can't be considered as a representative sample is that, using representative sampling makes sure that all relevant types of people are included in your sample and that the right mix of people are interviewed.

In the question above, anybody can submit his or choice and number of submissions is not limited.

8 0

3 years ago

A tattoo enthusiast website claims that :

KATRIN_1 [288]

Answer:

The probability that a person is a Millennial given that they have tattoos is 0.5069 (50.69%) or about 0.51 (51%).

Step-by-step explanation:

We have here a case where we need to use Bayes' Theorem and all conditional probabilities related. Roughly speaking, a conditional probability is a kind of probability where an event determines the occurrence of another event. Mathematically:

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

In the case of the Bayes' Theorem, we have also a conditional probability where one event is the sum of different probabilities.

We have a series of different probabilities that we have to distinguish one from the others:

The probability that a person has a tattoo assuming that is a Millennial is:

$\\ P(T|M) = 0.47$

The probability that a person has a tattoo assuming that is of Generation X is:

$\\ P(T|X) = 0.36$

The probability that a person has a tattoo assuming that is of Boomers is:

$\\ P(T|B) = 0.13$

The probability of being of Millennials is:

$\\ P(M) = 0.22$

The probability of being of Generation X is:

$\\ P(X) = 0.20$

The probability of being of Boomers is:

$\\ P(B) = 0.22$

Therefore, the probability of the event of having a tattoo P(T) is:

$\\ P(T) = P(T|M)*P(M) + P(T|X)*P(X) + P(T|B)*P(B)$

$\\ P(T) = 0.47*0.22 + 0.36*0.20 + 0.13*0.22$

$\\ P(T) = 0.204$

For non-independent events that happen at the same time, we can say that the probability of occurring simultaneously is:

$\\ P(M \cap T) = P(M|T)*P(T)$

$\\ P(T \cap M) = P(T|M)*P(M)$

But

$\\ P(M \cap T) = P(T \cap M)$

Then

$\\ P(M|T)*P(T) = P(T|M)*P(M)$

We are asked for the probability that a person is a Millennial given or assuming that they have tattoos or P(M | T). Solving the previous formula for the latter:

$\\ P(M|T)*P(T) = P(T|M)*P(M)$

$\\ P(M|T) = \frac{P(T|M)*P(M)}{P(T)}$

We have already know that

$\\ P(T|M) = 0.47\;P(M) = 0.22\;and\;P(T) = 0.204$ .

Therefore

$\\ P(M|T) = \frac{0.47*0.22}{0.204}$

$\\ P(M|T) = 0.50686 \approx 0.51$

Thus, the probability that a person is a Millennial given that they have tattoos is 0.5069 (50.69%) or about 0.51 (51%).

5 0

4 years ago

Is (2,2) a solution of the system

pashok25 [27]

Answer:

Hi, you don't provide us with the system here...

to figure out if 2,2 is a solution of the system, you have to plug the value of 2 in for both x and y in the system, and solve to see if it comes out or not...

If you provide the system I can definitely help you out more specifically!

3 0

3 years ago

Read 2 more answers

Below is a list of equations and expressions.

pogonyaev

B: 3 and 4 because they both do not have an = sign

6 0

2 years ago

Read 2 more answers

In the US Senate, there are 21 members on the Committee on Banking, Housing, and Urban Affairs. Nine of these 21 members are sel

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