A. The average yearly salary of a lawyer is $24 thousand less than twice that of an architect.

Write a rule that would allow you to test whether (x,y) is on line ℓ.

lawyer [12517]

Response:

We define a line L.

In a two-dimensional space, a line can be expressed as follows:

y = a*x + b

where 'a' denotes the slope and 'b' represents the y-intercept.

To determine the slope for a line passing through points (x1, y1) and (x2, y2), the formula is:

a = (y2 - y1)/(x2 - x1).

Using one of these points will help to find the value of 'b'.

Once we have the line's equation:

y = a*x + b

we can substitute in a specific point (x, y)

to verify if the equation holds true. If it does, that point lies on the line L.

6 0

1 month ago

Consider the following equation. cos x = x3 (a) Prove that the equation has at least one real root. f(x) = cos x − x3 is continu

Zina [12379]

Answer:

b. 0.86, 0.87

Step-by-step explanation:

a. Refer to the attached solution for part a

4 0

2 months ago

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

A psychological study found that men who were distance runners lived, on average, five years longer than those who were not dist

Inessa [12570]

Answer: C

Step-by-step explanation:

8 0

1 month ago

Two thirds of a straight angle

PIT_PIT [12445]

Answer:

Two thirds of a straight angle is 120°

Explanation:

First, we define a straight angle:

A straight angle measures 180°

Now, we need to find two thirds of that straight angle

To compute the fraction, multiply the straight angle's measurement by $\frac{2}{3}$

Thus:

$\frac{2}{3}$ of a straight angle = $\frac{2}{3} * 180 = 120$ degrees

Hope this helps:)

4 0

1 month ago