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2 years ago

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Analysts determined that the $255,000 salary is an outlier. The box-and-whisker plot for the remaining data is shown. Describe t

he shape of the graph and the most appropriate measure of center. What would you tell a friend about Fast Pax now?

2 answers:

bekas [8.4K]2 years ago

8 0

Answer:

edge 2020

Step-by-step explanation:

The data appears slightly skewed, so the median is probably the most appropriate measure.

My friend has a good chance of making between $16,000 and $23,000 because that is the range for the middle 50% of employees.

Oksanka [162]2 years ago

6 0

Answer:

The data appears slightly skewed, so the median is probably the most appropriate measure.

My friend has a good chance of making between $16,000 and $23,000 because that is the range for the middle 50% of employees.

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A company produces remote-controlled helicopters. The company’s profit, in thousands of dollars, as a function of the number of

muminat

Answer:

When 6 helicopters are produced weekly, the company's profit is <u>14 thousand dollars.</u>

Step-by-step explanation:

As per the given statement:

The company profit (in thousands of dollars), as a function of the number of helicopters produced per week can be modeled by a function.

The function that models the scenario is:

$f(h) = -2(h-4)^2 +22$ ......[1]

where

f(h) represents the company's profit

h represents the number of helicopters produced per week.

It is also given that when 1 helicopter is produced per week, the company’s profit is 4 thousand dollars.

Maximum profit for company 22 thousand dollars, occurs when 4 helicopters are produced per week

⇒ $f(1) = 4$ and $f(4) = 22$

we have to find when 6 helicopters are produced weekly, the company profit is;

⇒ h = 6 helicopters

Substitute this value in [1] to solve for f(6);

$f(6) = -2(6-4)^2 +22$

= $-2(2)^2 +22 = -2 \times 4 + 22 = -8 + 22 = 14$

Therefore, the company profit is, 14 thousand dollars.

4 0

2 years ago

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Solve the recurrence relation: hn = 5hn−1 − 6hn−2 − 4hn−3 + 8hn−4 with initial values h0 = 0, h1 = 1, h2 = 1, and h3 = 2 using (

musickatia [10]

(a) Suppose $h_n=r^n$ is a solution for this recurrence, with $r\neq0$ . Then

$r^n=5r^{n-1}-6r^{n-2}-4r^{n-3}+8r^{n-4}$
$\implies1=\dfrac5r-\dfrac6{r^2}-\dfrac4{r^3}+\dfrac8{r^4}$
$\implies r^4-5r^3+6r^2+4r-8=0$
$\implies (r-2)^3(r+1)=0\implies r=2,r=-1$

So we expect a general solution of the form

$h_n=c_1(-1)^n+(c_2+c_3n+c_4n^2)2^n$

With $h_0=0,h_1=1,h_2=1,h_3=2$ , we get four equations in four unknowns:

$\begin{cases}c_1+c_2=0\\-c_1+2c_2+2c_3+2c_4=1\\c_1+4c_2+8c_3+16c_4=1\\-c_1+8c_2+24c_3+72c_4=2\end{cases}\implies c_1=-\dfrac8{27},c_2=\dfrac8{27},c_3=\dfrac7{72},c_4=-\dfrac1{24}$

So the particular solution to the recurrence is

$h_n=-\dfrac8{27}(-1)^n+\left(\dfrac8{27}+\dfrac{7n}{72}-\dfrac{n^2}{24}\right)2^n$

(b) Let $G(x)=\displaystyle\sum_{n\ge0}h_nx^n$ be the generating function for $h_n$ . Multiply both sides of the recurrence by $x^n$ and sum over all $n\ge4$ .

$\displaystyle\sum_{n\ge4}h_nx^n=5\sum_{n\ge4}h_{n-1}x^n-6\sum_{n\ge4}h_{n-2}x^n-4\sum_{n\ge4}h_{n-3}x^n+8\sum_{n\ge4}h_{n-4}x^n$
$\displaystyle\sum_{n\ge4}h_nx^n=5x\sum_{n\ge3}h_nx^n-6x^2\sum_{n\ge2}h_nx^n-4x^3\sum_{n\ge1}h_nx^n+8x^4\sum_{n\ge0}h_nx^n$
$G(x)-h_0-h_1x-h_2x^2-h_3x^3=5x(G(x)-h_0-h_1x-h_2x^2)-6x^2(G(x)-h_0-h_1x)-4x^3(G(x)-h_0)+8x^4G(x)$
$G(x)-x-x^2-2x^3=5x(G(x)-x-x^2)-6x^2(G(x)-x)-4x^3G(x)+8x^4G(x)$
$(1-5x+6x^2+4x^3-8x^4)G(x)=x-4x^2+3x^3$
$G(x)=\dfrac{x-4x^2+3x^3}{1-5x+6x^2+4x^3-8x^4}$
$G(x)=\dfrac{17}{108}\dfrac1{1-2x}+\dfrac29\dfrac1{(1-2x)^2}-\dfrac1{12}\dfrac1{(1-2x)^3}-\dfrac8{27}\dfrac1{1+x}$

From here you would write each term as a power series (easy enough, since they're all geometric or derived from a geometric series), combine the series into one, and the solution to the recurrence will be the coefficient of $x^n$ , ideally matching the solution found in part (a).

3 0

2 years ago

What integer represents a rise in temperature of 19°?

nataly862011 [7]

You would write +19 to indicate an increase of 19

The opposite of that would be -19, read out as negative 19.

7 0

2 years ago

Point Q is the centroid of △ABC. QE = _____

pychu [463]

That’s the answer to your question.

7 0

2 years ago

Which statement describes 4/7 x 3/5?

Nataly [62]

Answer:

0.34285714285 i think

Step-by-step explanation:

6 0

2 years ago

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