Data Set: 13, 1, 18, 20, 18 • Mean = Median = • Mode = • Range - • Outlier -

Mathematics

2 answers:

KengaRu [80]3 years ago

8 0

Answer:

mean=14

median=3

mode=20

range=19

brilliants [131]3 years ago

5 0

Answer:

mean=14

median=18

range=19

outlier=1

mode: 18

Step-by-step explanation:

1) to find the mean, add up all the numbers and divide by number of numbers:

13+1+18+20+18=70

70/5=14

mean=14

median: to find median arrange all numbers from least to greatest and cross of each one, alternating between sides until you get to one last number:

(an underline means crossed out)

1,13,18,18,20

median=18

mode is the most recurring number, in this data set the mode is 18

range(largest number-smallest number)

range:(20-1)

range: 19

outlier: (number tat doesnt belong)

outlier: 1

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Answer:

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2 years ago

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We are given that revenue of Tacos is given by the mathematical expression $-7x^{2}+32x+240$ .

(A) The constant term in this revenue function is 240 and it represents the revenue when price per Taco is $4. That is, 240 dollars is the revenue without making any incremental increase in the price.

(B) Let us factor the given revenue expression.

$-7x^{2}+32x+240=-7x^{2}+60x-28x+240\\-7x^{2}+32x+240=x(-7x+60)+4(-7x+60)\\-7x^{2}+32x+240=(-7x+60)(x+4)\\$

Therefore, correct option for part (B) is the third option.

(C) The factor (-7x+60) represents the number of Tacos sold per day after increasing the price x times. Factor (4+x) represents the new price after making x increments of 1 dollar.

(D) Writing the polynomial in factored form gives us the expression for new price as well as the expression for number of Tacos sold per day after making x increments of 1 dollar to the price.

(E) The table is attached.

Since revenue is maximum when price is 6 dollars. Therefore, optimal price is 6 dollars.