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2 years ago

6

Fast Pax Annual Salaries (Thousands of Dollars) Analysts determined that the $255,000 salary is an outlier. The box-and-whisker

plot for the remaining data is shown. Describe the shape of the graph and the most appropriate measure of center. What would you tell a friend about Fast Pax now?

2 answers:

SIZIF [17.4K]2 years ago

7 0

The data appears slightly skewed, so the median is probably the most appropriate measure.
You have a good chance of making between $16,000 and $23,000 because that is the range for the middle 50% of employees.

Tamiku [17]2 years ago

5 0

Answer:

The data is skewed, so the mean is not a good measure of the data.

A median of $20,000 is probably a better indicator of the salary you would earn.

75% of all employees make less than $25,000 annually.

on edge

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A flat circular plate has the shape of the region x squared plus y squared less than or equals 1x2+y2≤1. the plate, including t

vredina [299]

You're looking for the extreme values of $x^2+3y^2+13x$ subject to the constraint $x^2+y^2\le1$ .

The target function has partial derivatives (set equal to 0)

$\dfrac{\partial(x^2+3y^2+13x)}{\partial x}=2x+13=0\implies x=-\dfrac{13}2$

$\dfrac{\partial(x^2+3y^2+13x)}{\partial y}=6y=0\implies y=0$

so there is only one critical point at $\left(-\dfrac{13}2,0\right)$ . But this point does not fall in the region $x^2+y^2\le1$ . There are no extreme values in the region of interest, so we check the boundary.

Parameterize the boundary of $x^2+y^2\le1$ by

$x=\cos u$

$y=\sin u$

with $0\le u$ . Then $t(x,y)$ can be considered a function of $u$ alone:

$t(x,y)=t(\cos u,\sin u)=T(u)$

$T(u)=\cos^2u+3\sin^2u+13\cos u$

$T(u)=3+13\cos u-2\cos^2u$

$T(u)$ has critical points where $T'(u)=0$ :

$T'(u)=-13\sin u+4\sin u\cos u=\sin u(4\cos u-13)=0$

$(1)\quad\sin u=0\implies u=0,u=\pi$

$(2)\quad4\cos u-13=0\implies\cos u=\dfrac{13}4$

but $|\cos u|\le1$ for all $u$ , so this case yields nothing important.

At these critical points, we have temperatures of

$T(0)=14$

$T(\pi)=-12$

so the plate is hottest at (1, 0) with a temperature of 14 (degrees?) and coldest at (-1, 0) with a temp of -12.

4 0

2 years ago

An entrepreneur estimates his total profit (total revenue minus total cost) for his proposed company as p(x) = x3 − 4x2 + 5x − 2

RideAnS [48]

Answer:

Year in which the entrepreneur break even is 4

Step-by-step explanation:

We are given:

p(x) = x^3-4x^2+5x-20

We would find the value of x

Solving:

x^3-4x^2+5x-20 = 0

(x^3-4x^2)+(5x-20) = 0

x^2(x-4)+5(x-4) = 0

(x-4)(x^2+5)=0

=> x-4 = 0 and x^2+5 =0

x = 4 and x^2 = -5

x = 4 and x = ±√-5 or ±√5 i (not real solutions)

So, x = 4

So, year in which the entrepreneur break even is 4

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2 years ago

30 POINTS!!! Jade decided to rent movies for a movie marathon over the weekend. The function g(x) represents the amount of money

Airida [17]

Answer:

B. No the input is not feasible

because you cannot rent 6,5 movies :p

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2 years ago

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If x = 3 is a zero of the polynomial function f(x) = 2x3 + x2 − 25x + 12, which of the following is another zero of f(x)? ASAP

olasank [31]

If x = 3 is a solution, (x - 3) is a factor of f(x).
2x³ + x² - 25x + 12 ÷ (x - 3) [by long division] = 2x² + 7x - 4
so f(x) = (x - 3)(2x² + 7x - 4)
f(x) = (x - 3)(2x - 1)(x + 4)
so 'zeros', or more correctly solutions, are: x = 3, x = 1/2 and x = -4.
[by setting each of the factors equal to 0 and solving for x].

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2 years ago

In the equation 18/2 = 9, nine is the:

SVETLANKA909090 [29]

Answer:

Quotient.

Step-by-step explanation:

You get a quotient by dividing something. It is the end result, the solution.

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2 years ago

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