Maria and Don Papace are flying to Florida to explore the possibility of moving there. They will be traveling with their two teenage sons. The table below lists information they have researched on the round-trip airfares that are available for purchase on the dates they have chosen to travel. Use the table to determine the missing values a-g

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Step-by-step explanation:

From the table above :

Find the value of a-g

a) Σfrequency:

(4+2+3+12+7+2+4+20+5+7+2+12) = 80

b) 3 / 80 = 0.0375

C) 20 / 80 = 0.250

D) (4 + 2 + 3 +12 + 7) = 28

E) (59 + 7) = 66

F) (0.375 + 0.050) = 0.425

G) (0.850 + 0.150) = 1

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step-by-step explanation:

(b) 240

step-by-step explanation:

first, we use the pythagorean formula using the given side lengths to find x. then we use x to find the side lengths. then we add the side lengths to find the perimeter.

pythagorean theorem formula:

a^2 + b^2 = c^2

(x - 20)^2 + (x - 40)^2 = x^2

x^2 - 40x + 400 + x^2 - 80x + 1600 = x^2

x^2 -120x + 2000 = 0

(x - 100)(x - 20) = 0

x - 100 = 0 or x - 20 = 0

x = 100 or x = 20

we see that the solution x = 20 must be discarded because it will give a negative side length and a side length of 0. the only valid solution is x = 100.

perimeter = sum of the lengths of the sides

perimeter = x + x - 20 + x - 40

perimeter = 3x - 60

replace x with 100.

perimeter = 3(100) - 60

perimeter = 300 - 60

perimeter = 240