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3 years ago

Got a question here please answer it btw look at the photo for question.

Mathematics

1 answer:

____ [38]3 years ago

6 0

Answer:

<em>Marcus should choose the second option</em>

Step-by-step explanation:

Marcus can choose between the following two options:

A $1,500 monthly salary plus a 5.5% commission of sales, or

A $2,000 monthly salary plus a 3% commission of sales

Marcus expects about $8,000 in sales per month. He wants to know which salary option to choose, obviously to get the most money out of it.

Analyzing the first option:

5.5% of $8,000 = 5.5 * $8,000 / 100 = $440

Plus the fixed salary: $1,500 + $440 = $1,940

Analyzing the second option:

3% of $8,000 = 3 * $8,000 / 100 = $240

Plus the fixed salary: $2,000 + $240 = $2,240

Marcus should choose the second option

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In a simple regression analysis (where y is a dependent and x an independent variable), if the y-intercept is positive, then it

Rom4ik [11]

Answer:

$m=\frac{S_{xy}}{S_{xx}}$

Where:

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}$

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}$

$\bar x= \frac{\sum x_i}{n}$

$\bar y= \frac{\sum y_i}{n}$

And we can find the intercept using this:

$b=\bar y -m \bar x$

On this case the correct answer would be:

E. none of the above

Since the intercept has no association between the increase/decrease of the dependent variable respect to the independent variable

Step-by-step explanation:

Assuming the following options:

A. there is a positive correlation between X and Y

B. there is a negative correlation between X and Y

C. if X is increased, Y must also increase

D. if Y is increased, X must also increase

E. none of the above

If we want a model $y = mx +b$ where m represent the lope and b the intercept

$m=\frac{S_{xy}}{S_{xx}}$

Where:

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}$

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}$

$\bar x= \frac{\sum x_i}{n}$

$\bar y= \frac{\sum y_i}{n}$

And we can find the intercept using this:

$b=\bar y -m \bar x$

On this case the correct answer would be:

E. none of the above

Since the intercept has no association between the increase/decrease of the dependent variable respect to the independent variable

3 0

2 years ago

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sertanlavr [38]

A and E.

x= (1+ root-71)/6 and x= (1-root-71)/6

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3 years ago

1 1/3+2 2/3 mixed number

OleMash [197]

$1\dfrac{1}{3}+2\dfrac{2}{3}=1+\dfrac{1}{3}+2+\dfrac{2}{3}=(1+2)+\left(\dfrac{1}{3}+\dfrac{2}{3}\right)=3+\dfrac{1+2}{3}\\\\=3+\dfrac{3}{3}=3+1=4$

4 0

3 years ago

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A gas stove that normally sells for $749 is on sale at a 30% discount. What is the sale price of the gas stove

Virty [35]

The answer is 224.7 you got to turn 30% into decimal which is 0.30
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3 years ago

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Two fair dice are rolled 3 times and the sum of the numbers that come up is recorded. Find the probability of these events. a. T

alexandr402 [8]

Answer:

Step-by-step explanation:

Given that two fair dice are rolled 3 times and the sum of the numbers that come up is recorded.

a) The sum is 4 on each of the three rolls.

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Prob for getting same sum 4 in 3 rolls = $(\frac{1}{12} )^3$

(since each trial is independent)

b) Prob sum =4 in exactly 2 rolls

= $3C2 (1/12)^2 (11/12)$ = $\frac{33}{12^3}$

5 0

2 years ago