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3 years ago

Which value from the set {1/2, 2/3, 4/3, 5/2} is a value of x that will the equation 3/4 ÷ × = 9/8 true?

Mathematics

1 answer:

Vitek1552 [10]3 years ago

6 0

Answer:

2/3

Step-by-step explanation:

To find out what x is in this case, divide 3/4 by 9/8.

3/4 / 9/8

Dividing by a fraction is the same as multiplying it's inverse.

3/4 * 8/9

Cross cancellation (3 & 9 (GCF: 3); 4 & 8 (GCF: 4)

1/1 * 2/3

We can remove the 1/1.

2/3

2/3 is the value of x that will make 3/4 ÷ x = 9/8 true.

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7/24

Step-by-step explanation:

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A manager wishes to determine the relationship between the number of miles traveled (in hundreds of miles) by her sales repres

kati45 [8]

Answer:

$y=3.53 x +37.92$

And for 0 miles if we use the model we got:

$y(0)= 3.53*0 +37.92 = 37.92$

But for this case. No is not reasonable for a representative to travel o miles and have a positive amount of sales.

Step-by-step explanation:

For this case we assume the following data:

Miles traveled (X): 2,3,10,7,8,15,3,1,11

Sales (Y): 31,33,78,62,65,61,48,55,120

We want to found a linear model like this one : $y = mx+b$ . Where:

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

Where:

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

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

With these we can find the sums:

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}=582-\frac{60^2}{9}=182$

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}=4329-\frac{60*553}{9}=642.33$

And the slope would be:

$m=\frac{642.33}{182}=3.529$

Nowe we can find the means for x and y like this:

$\bar x= \frac{\sum x_i}{n}=\frac{60}{9}=6.667$

$\bar y= \frac{\sum y_i}{n}=\frac{553}{9}=61.444$

And we can find the intercept using this:

$b=\bar y -m \bar x=61.444-(3.529*6.667)=37.917$

So the line would be given by:

$y=3.53 x +37.92$

And for 0 miles if we use the model we got:

$y(0)= 3.53*0 +37.92 = 37.92$

But for this case. No is not reasonable for a representative to travel o miles and have a positive amount of sales.

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Answer:

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Step-by-step explanation:

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