Calculate the Mean Absolute Deviation of these data. Round answers to the nearest tenth (one decimal place).

Mathematics

1 answer:

daser333 [38]2 years ago

3 0

Answer: 3.6

Step-by-step explanation:

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For the Event to Kings Island the cost for an adult ticket is $20 and the cost for a student ticket is $10. The tickets are purc

Ann [662]

We have two formulas:
Adult tickets plus Student tickets = 550 tickets or A + S = 550
and
Adult tickets times $20 plus Student ticket times $10 = $7500 or
(A * 20) + (S * 10) = 7500

First let's get rid of one of the variables by re-balancing the simplest formula
A+S = 550
A+S-A = 550-A
S = 550-A

Now we can restate the second formula replacing "S" with it's equivalent "550-A"

(A * 20) + (S * 10) = 7500
(A * 20) + ((550-A) *10) = 7500
Then do the multiplication
20A + 5500 - 10A = 7500
and simplifiy
20A + 5500 - 5500 - 10A = 7500 - 5500
20A - 10A = 2000
10A = 2000
A = 200
S = 550 - 200 = 350

Now we should test the answers to be sure our work
is correct:
200 Adult tickets times $20 = $4000
350 Student tickets times $10 = $3500
$4000 + $3500 = 7500

8 0

3 years ago

Determine the maximum or minimum value of the following quadratic function. LaTeX: f\left(x\right)=-3\left(x+5\right)^2-1f ( x )

Genrish500 [490]

Answer:

Step-by-step explanation:

$y=-3(x^2+10x+25)-1\\ \\ y=-3x^2-30x-76\\ \\ dy=-6x-30\\ \\ d^2y=-6\\ \\ \text{Since the second derivative is always negative, when the first derivative is equal to zero the function will be at a global maximum.}\\ \\ dy=0=-6x-30\\ \\ x=-5\\ \\ f(-5)=-1\\ \\ \text{So the global maximum occurs at the point (-5,-1)$