Carpetland salespersons average $8000 per week in sales. Steve Contois, the firm's vice president, proposes a compensation plan with new selling incentives. Steve hopes that the results of a trial selling period will enable him to conclude that the compensation plan increases the average sales per salesperson. a. Develop the appropriate null and alternative hypotheses.

Answers

Answer 1

Answer:

Null hypothesis: The average sales per salesperson of Carpetland is $8000 per week

Alternate hypothesis: The average sali per salesperson of Carpetland is greater than $8000 per week

Step-by-step explanation:

The null hypothesis is a statement deduced from a population parameter which is subject to testing

The alternate hypothesis is a statement that negates the alternate hypothesis which is accepted if the null hypothesis is tested to be false

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Find the equation for the line that passes through the point (−2,5), and that is perpendicular to the line with the equation x=−4.

Answers

The equation of the line perpendicular to x = -4 that passes through the point (-2,5) is y = 5 .

In the question ,

it is given that

the required line is perpendicular to x = -4

the slope of x = -4

x + 4 = 0

0.y = x + 4

slope = 1/0

so the slope of the perpendicular line $=$ 0 .

the equation of the perpendicular line passing through (-2,5) and slope as 0 is

(y - 5) $=$ 0*(x + 2)

y -5 = 0

y = 5

Therefore , The equation of the line perpendicular to x = -4 that passes through the point (-2,5) is y =5 .

Learn more about Equation of Line here

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I will really appreciate the help because i’m stuck and need this as soon as possible This problem uses the notion that to find the closest distance from a point to a line we need the perpendicular line joining them. The idea is that the plane is heading in some direction, if we treat the takeoff point as the origin (0,0), we can make an equation of a line to the destination. Then we need to take the slope of that line, find its negative reciprocal to build a perpendicular slope, and then use that new perpendicular slope and the point where the mountain is to make a NEW line. Then we find the intersection of these two lines, a system of equations, (preferably by an algebraic process like substitution or elimination) to find the time at which the plane will be closest to the mountain on its path toward its destination.

the problem:

You're flying from Joint Base Lewis-McChord (JBLM) to an undisclosed location 245 km south and 237 km east. Mt. Rainier is located approximately 56 km east and 40 km south of JBLM. If you are flying at a constant speed of 800km / hr how long after you depart JBLM will you be the closest to Mt. Rainier?

______minutes