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2 months ago

7

A classroom measures 12 meters long and 9 meters wide. When using a scale of 1 cm to 1.5 m to draw the room on your paper, the s

ize would be

1 answer:

babunello [11.8K]2 months ago

6 0

12m(cm/1.5m) by 9m(cm/1.5m)

8cm by 6cm

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Concur Technologies Inc is a large expense-management company located in Redmond Washington. The wall street Journal asked Concu

Zina [12379]

Answer:

Let's explore this step-by-step:

Greetings!

Here are the variables

X: daily cost of hotel rooms

Y: expenses for entertainment

Refer to the second attachment for the scatter plot.

The population regression equation can be expressed as E(Yi)= α + βXi

To find the y-intercept and the slope of the regression line, apply the following formulas:

a= Y[bar]-bX[bar] $b= \frac{sum XY-\frac{(sumX)(sumY)}{n} }{sumX^2-\frac{(sumX)^2}{n} }$

In this scenario, n= 9; ∑X= 945; ∑X²= 103325; ∑Y= 1134; ∑Y²= 148804; ∑XY= 123307

Calculating X[bar]= ∑X/n= 945/9= 105

Calculating Y[bar]= ∑Y/n= 1134/9= 126

Thus, it follows that a= 126 - 1.03*105= 17.49 $b= \frac{123307-\frac{945*1134}{9} }{103325-\frac{(945)^2}{9} }= 1.03$

The regression equation is then given by ^Y= 17.49 + 1.03Xi

Slope interpretation: For each unit increase in the daily hotel rate, the expected average spending on entertainment rises by $1.03.

Given that the room rate in Chicago is $128 (X), we can predict the entertainment expenditure (Y) using the estimated regression line:

^Y= 17.49 + 1.03Xi= 17.49 + 1.03*128= 149.33

The anticipated spending on entertainment for Chicago is $149.33

I trust this will assist you!

6 0

2 months ago

What is the relative frequency of the revenue earned by B&B Motors from sales of mini trucks compared to the total sales rev

Inessa [12570]

Answer: 0.46

Step-by-step explanation:

B&B Motors' mini trucks yield 0.59; all four companies combined yield 0.39; mini trucks yield 0.13. Hence, 0.59 - 0.13 equals 0.46.

3 0

2 months ago

Read 2 more answers

Suppose that the last four months of sales were 8, 10, 15, and 9 units, respectively. Suppose further that the last four forecas

Leona [12618]

Response:

MAD value comes out to be 3.

Detailed Breakdown:

The given sales forecasts for the last four months are 5, 6, 11, and 12 units.

To calculate the Mean Absolute Deviation (MAD) for these forecasts:

The average of the forecasts across four months is $\frac{5 + 6 + 11 + 12}{4} = 8.5$ .

Thus, the total of absolute differences between the forecast values and the average is = |5 - 8.5| + |6 - 8.5| + |11 - 8.5| + |12 - 8.5| = 3.5 + 2.5 + 2.5 + 3.5 = 12.

Hence, the MAD value will be = $\frac{12}{4} = 3$ (Final Answer)

4 0

2 months ago

The perimeter of a rectangle is 202. The length is 26 more than 4 times the width. Find the dimensions

Inessa [12570]

Answer:

$P = 2*(26+4y) + 4y$

Upon solving for y, we find:

$202= 52 +8y +4y$

$202= 52 +12 y$

By substitution, we have:

$150 = 12y$

Thus, we arrive at:

$y = \frac{150}{12}= 12.5$

And for x, we determine:

$x = 26 +4*12.5 = 76$

This gives us a length of 76 and a width of 12.5.

Step-by-step explanation:

We are dealing with a rectangle. The formula for the perimeter is:

$P= 2x+2y$

Here, x denotes the length and y the width. The following conditions can be established:

$x = 26 +4y$

Substituting these values yields:

$P = 2*(26+4y) + 4y$

When we solve for y, we find:

$202= 52 +8y +4y$

$202= 52 +12 y$

By substitution, we obtain:

$150 = 12y$

Thus, we conclude:

$y = \frac{150}{12}= 12.5$

The length is found to be 76, while the width measures 12.5.

6 0

2 months ago