Imagine we had a sample of 15 couples and we wanted to predict which of the couples are likely to still be together in 1 year’s time. in an attempt to do this, we filmed each couple having a 5-minute discussion about a recent ‘difficult issue’ that had arisen in their relationship (e. g., how the household chores should be divided). we then coded the video footage and gave each couple a rating out of 20 on three predictors of relationship longevity: (1) listening to each other; (2) level of compromise; and (3) signs of contempt. the outcome was whether they were together a year later (score = 1) or not (score = 0). how could we analyse these data?

(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

answer: the answer is one

step-by-step explanation:

pemdas, in this situation there is no parenthesis or exponents so you go to multiplication, 1x1=1, then division 1/1= 1 then addition 1+1=2 then subtraction 2-1=1

it is 570

step-by-step explanation:

3

step-by-step explanation: