If m 4 = (3x + 7) , and m 5 = (9x 43) , find m UPS.

Which of the following ordered pairs could not be included in this set if its a function? (-4,2) (3,6) (4,3) (?,?)

Debora [2.8K]

Given:

The set of ordered pair (-4,2), (3,6), (4,3), (?,?).

To find:

The ordered pairs that could not be included in this set if its a function.

Solution:

We know that, a relation or a set of ordered pairs is a function if there exist a unique output (y-value) for each input (x-value).

If (-4,-3) point is included in the given set of ordered pair, then we have $y=-3,2$ for $x=-4$ .

Since there are more than one output value at $x=-4$ , therefore the given set of ordered pairs will not be a functions after including the point (-4,-3).

If points (1,2), (3,6) and (-3,6) are included in the given set of ordered pair, then there exist a unique output for each input.

So, the given set of ordered pairs will be a functions after including the points (1,2), (3,6) and (-3,6).

Therefore, the correct option is A.

8 0

3 years ago

Please please answer this for me, its super urgent and important !!! please.

skad [1K]

Answer: Choice B
Events are not mutually exclusive
The probability of applicant meeting GPA requirement or they volunteer is 65%

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Explanation:

For two events to be "mutually exclusive", it means that they cannot happen at the same time. An example is pulling a black diamond card. In a deck of cards, diamonds are red.

So the question is: "Is it possible to volunteer and meet the GPA requirements at the same time?"
The answer is "Yes, because 250 applicants have done so"

This means that the two events "volunteer" and "meet GPA requirements" are not mutually exclusive. This boils things down between choice A or choice B

Now onto calculating the probability
Let,
A = applicant volunteers
B = applicant meets GPA requirements

P(A) = 600/2000 = 0.300
P(B) = 950/2000 = 0.475
P(A and B) = 250/2000 = 0.125

Using those values, we can say....
P(A or B) = P(A) + P(B) - P(A and B)
P(A or B) = 0.300 + 0.475 - 0.125
P(A or B) = 0.65
P(A or B) = 65% which is part of the answer

We got 65% so that points to choice B as the final answer

Note: another way to find P(A or B) is to note how 250 meet both requirements so 950-250 = 700 meet the GPA hurdle only, 600-250 = 350 volunteer only, so 700+350+250 = 1300 either meet one requirement or both out of 2000. So 1300/2000 = 0.65 = 65%

8 0

3 years ago

What is the end behavior of h (x) = StartFraction negative 5 x Superscript 4 Baseline + 13 x Over x cubed EndFraction As x appro

baherus [9]

Answer:

d on edge 2020

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

How are (3x)^2 and 3x^2 different?

Lostsunrise [7]

Answer:

In (3x)^2, you are squaring both the 3 and the x:

9x^2

in 3x^2, you are squaring just the x:

3x^2

3 0

3 years ago

Read 2 more answers

135 UB students were surveyed and asked how many hours a week they spent studying. The results are in the table below?

lesya692 [45]

Answer:

B) 11/27 ; c.) 5/27; D.) 17/27; E.) 3/13 ; F) 5/9

Step-by-step explanation:

- - - - - <5hrs - - (5 - 10hrs) - - (>10 hrs) - - Total

Male (M) 25 - - - - -- 25 - - - - - 20 - - - - 70

Female (F) 20 - - - - - - 30 - - - - - 15 - - - - 65

Total - - - 45 - - - - - - 55 - - - - - 35 - - - - 135

Probability = (required outcome / Total possible outcomes)

B) probability that a student studied(5 - 10 hours)

P(5 to 10 hours) = n(5 - 10 hours) / n(total) = 55/135 = 11/27

C) Find the probability that a student is a male and spends less than 5 hours studying

P(male and < 5 hours) = n(male ∩> 5 hours) / n(total) = 25/135 = 5/27

D) Find the probability that a student is a female or spends more than 10 hours studying.

P(female) + P(> 10hours) - P(Female ∩ > 10 hours) = 65/135 + 35/135 - 15/135 = 85/135 = 17/27

E.) Find the probability that a student spends more than 10 hours studying given that the student is a female?

n(Female ∩ > 10 hours) / n(Female)

15/65 = 3/13

F) Find the probability that a student is a male given that he spends less than 5 hours studying

n(male ∩ < 5hrs) / n(< 5 hours) = 25/ 45 = 5/9

5 0

3 years ago