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2 years ago

What kind of relationship does the following scatter plot show?

Mathematics

1 answer:

Marina CMI [18]2 years ago

5 0

Answer:

B. Positive relationship, linear

General Formulas and Concepts:

<u>Statistics</u>

Trends

Positive Correlation - data is increasing
Negative Correlation - data is decreasing
No Correlation - data is scattered

Step-by-step explanation:

According to the given graph, we see that our data is increasing. Therefore, there will be a positive relationship in the graph.

∴ Answers C and D are eliminated.

We also see that we can draw a best line of fit in the graph. Since we can approximate this data using a linear line, our answer choice would be B.

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Drake produced 52 songs last year. If each new album has 15 songs on it, how many of his songs were not released on an album?

Andreyy89

Answer:

Step-by-step explanation:

If each album has 15 songs, 15 * 3 = 45 so 52 - 45 = 7. Therefore, Drake produced 7 songs not in an album.

7 0

2 years ago

15.25 ÷244= I need help solving this

tester [92]

When you divide these you get
15.25/244=0.0625

8 0

3 years ago

Resolve into partial fractions<br><br>

lisabon 2012 [21]

Answer:

See below

Step-by-step explanation:

$\frac{11 + x}{(2 - x)(x - 3)} = \frac{A}{2 - x} + \frac{B}{x - 3} \\ \\ \therefore \: \frac{11 + x}{(2 - x)(x - 3)} = \frac{A(x - 3) +B(2 - x) }{(2 - x)(x - 3)} \\ \\ \therefore \: 11 + x = Ax - 3A + 2B - Bx \\ \\ \therefore \: 11 + x = - 3A + 2B + Ax - Bx\\ \\ \therefore \: 11 + x = - 3A + 2B + (A - B)x \\ \\ equating \: the \: like \: terms \: on \: both \: sides \\ A - B = 1 \\ \therefore \: A = B + 1.....(1) \\ \\ - 3A + 2B = 11....(2) \\ from \: eq \: (1) \: and \: (2) \\ - 3(B + 1) + + 2B = 11 \\ \\ - 3B - 3 + 2B = 11 \\ \\ - B = 11 + 3 \\ \\ B = - 14 \\ A = - 14 + 1 = - 13 \\ \\ \frac{11 + x}{(2 - x)(x - 3)} = \frac{ - 13}{2 - x} + \frac{ - 14}{x - 3} \\ \\ \frac{11 + x}{(2 - x)(x - 3)} = - \frac{ 13}{2 - x} - \frac{ 14}{x - 3}$

$\frac{12x + 11}{x^2 +x - 6}$

$=\frac{12x + 11}{x^2 +3x-2x - 6}$

$=\frac{12x + 11}{x(x +3) -2(x +3)}$

$\therefore \frac{12x + 11}{x^2 +x - 6}=\frac{12x + 11}{(x +3) (x - 2)}$

$\therefore \frac{12x + 11}{x^2 +x - 6}=\frac{A}{(x +3)}+\frac{B}{(x - 2)}$

$\therefore \frac{12x + 11}{x^2 +x - 6}=\frac{A(x-2)+B(x+3)}{(x-2)(x+3)}$

$\therefore 12x + 11 = A(x-2)+B(x+3)$

$\therefore 12x + 11 = Ax-2A+Bx+3B$

$\therefore 12x + 11 = Ax+Bx-2A+3B$

$\therefore 12x + 11 = (A+B) x-2A+3B$

Equating like terms on both sides:

$A + B = 12\implies A = 12-B... (1)$

$- 2A + 3B = 11... (2)$

Solving equations (1) & (2), we find:

A = 5, B = 7

$\therefore \frac{12x + 11}{x^2 +x - 6}=\frac{5}{(x +3)}+\frac{7}{(x - 2)}$

3 0

3 years ago

5x + 4(4x + 11) = 170 pearson realize

Jobisdone [24]

x=6

if you multiply 4 by whats inside the parenthesis you get 5x+16x+44=170

next combine like terms and get 21x+44=170

next subtract 44 from itself and 170 to get 21×=126

finally divide 21 from both sides and you get x=6

hope this helps!

4 0

3 years ago

Read 2 more answers

A city’s population is increasing at a rate of 5% each year. Which type of model describes this situation?

Basile [38]

Answer:

Exponential

Step-by-step explanation:

Ir's exponential because linear would mean it is increasing by a specific number every year, in which this case does not. Quadratic would mean a vertex form would need to be used, and with the information given , that could not happen.

8 0

3 years ago