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snow_lady [41]
3 years ago
11

If 4 is the constant of proportionality is this equation correct? y = 4x + 2​

Mathematics
1 answer:
max2010maxim [7]3 years ago
6 0

Answer:

4 is not the constant. 2 is.

Step-by-step explanation:

In the following equation: y = 4x + 2

x and y are variables. x can be any given number, and y would be the resulting answer.

4 is not the constant, because the product it will produce varies on what x will be.

2 is a constant, because it will not change regardless what is put into x. It will continue to stay as 2.

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Do Audience Ratings Differ Based on the Genre of the Movie? The dataset HollywoodMovies includes a quantitative variable on the
Juli2301 [7.4K]

Answer:

Step-by-step explanation:

Hello!

(a) Which genre has the highest mean audience score? The lowest mean audience score?

1) Action \frac{}{X}_1= 58.63

2) Comedy \frac{}{X}_2= 59.11

3) Drama \frac{}{X} _3 = 72.10

4) Horror \frac{}{X}_4= 48.65

The lowest mean score is  \frac{}{X}_4= 48.65

The highest mean score is  \frac{}{X} _3 = 72.10

(b) Which genre has the highest median score? The lowest median score?

1) Action Me₁= 51.00

2) Comedy Me₂= 58.00

3) Drama Me₃= 72.00

4) Horror Me₄= 52.00

The Lowest median is Me₁= 51.00

The Highest median is Me₃= 72.00

(c) In which genre is the lowest score, and what is that score? In which genre is the highest score, and what is that score?

Lowest or minimum scores:

1) Action 32.00

2) Comedy 31.00

3) Drama 46.00

4) Horror 25.00

The genre with the lowest score is "Comedy"

Highest or maximum scores:

1) Action 93.00

2) Comedy 93.00

3) Drama 91.00

4) Horror 78.00

There are two genres with the highest score "Action" and "Comedy"

(d) Which genre has the largest number of movies in that category?

The number of movies for each category corresponds to the sample sizes:

1) Action n₁= 32

2) Comedy n₂= 27

3) Drama n₃= 21

4) Horror n₄= 17

The largest number of movies sampled was for the genre "Action"

(e) Calculate the difference in mean score between comedies and horror movies, and give notation with your answer, using i, for the mean comedy score and, for the mean horror score.

Comedy \frac{}{X}_C= 59.11

Horror \frac{}{X}_H= 48.65

\frac{}{X}_C -  \frac{}{X}_H= 59.11 - 48.65= 10.46

I hope this helps!

5 0
3 years ago
The system of equations is graphed on the coordinate plane.
ehidna [41]

Answer: The solution is (3, -2)

This means that x = 3 and y = -2 pair up together.

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

Explanation:

The solution is where the two lines cross. Note if we started at the origin (0,0) and moved to the right 3 units, and then down 2 units, we would arrive at the location (3, -2).

-----------------

As a way to check, we can plug x = 3 into each equation. We should get y = -2 as a result for each equation

y = (-5/3)x + 3

y = (-5/3)*3 + 3

y = -5+3

y = -2

The first equation is confirmed. Let's check the second equation

y = (1/3)x - 3

y = (1/3)*3 - 3

y = 1 - 3

y = -2

Both equations have the y value equal -2 when x = 3. Therefore, the overall solution is confirmed.

3 0
2 years ago
D(5, 7), E(4, 3), and F(8, 2) form the vertices of a triangle. What is m∠DEF? A. 30° B. 45° C. 60° D. 90°
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D hope this helps man
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For what values of them will the expression below be a perfect square? <br> 9x^2+30x+m
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I am so so so sorry I do not know the answer but I might later in the shool year
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Replace 27 out of 45 desks. What percent of the desks need to be replaced?
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I believe the answer is 40%. I hope this helps! 
8 0
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