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sp2606 [1]
3 years ago
9

4 roommates share the cost of $108 of the electric bill evenly. What is the fraction to represent the division and classify each

result by indicating the set or sets to which it belongs.
Mathematics
1 answer:
GrogVix [38]3 years ago
8 0
108/4 = 27 so $27 is what each roommate needs to pay for the electric bill
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The production department of Celltronics International wants to explore the relationship between the number of employees who ass
Flura [38]

Answer:

(a) Shown below

(b) There is a positive relation between the number of assemblers and production.

(c) The correlation coefficient is 0.9272.

Step-by-step explanation:

Let <em>X</em> = number of assemblers and <em>Y</em> = number of units produced in an hour.

(a)

Consider the scatter plot below.

(b)

Based on the scatter plot it can be concluded that there is a positive relationship between the variables <em>X</em> and <em>Y</em>, i.e. as the value of <em>X</em> increases <em>Y</em> also increases.

(c)

The formula to compute the correlation coefficient is:

r=\frac{n\sum XY-\sum X\sum Y}{\sqrt{[n\sum X^{2}-(\sum X)^{2}][n\sum Y^{2}-(\sum Y)^{2}]}} }

Compute the correlation coefficient between <em>X</em> and <em>Y</em> as follows:

r=\frac{n\sum XY-\sum X\sum Y}{\sqrt{[n\sum X^{2}-(\sum X)^{2}][n\sum Y^{2}-(\sum Y)^{2}]}} }=\frac{(5\times430)-(15\times120)}{\sqrt{[(5\times55)-15^{2}][(5\times3450)-120^{2}]}} =0.9272

Thus, the correlation coefficient is 0.9272.

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8 0
3 years ago
Read 2 more answers
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