A weight-loss franchise home office wanted to compare the results of two centers. Of 200 randomly selected participants from center A, 123 lost at least 10 pounds. Of 150 randomly selected participants from center B, 109 lost at least 10 pounds. Construct an 80% confidence interval for the difference between the proportions of participants at center A and participants at center B who lost at least 10 pounds. Which of the following would be the correct (generic) interpretation for this interval?

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37/3

step-by-step explanation:

step 1: simplify both sides of the equation.

7x+8(x+

1

4

)=3(6x−9)−8

7x+(8)(x)+(8)(

1

4

)=(3)(6x)+(3)(−9)+−8(distribute)

7x+8x+2=18x+−27+−8

(7x+8x)+(2)=(18x)+(−27+−8)(combine like terms)

15x+2=18x+−35

15x+2=18x−35

tep 2: subtract 18x from both sides.

15x+2−18x=18x−35−18x

−3x+2=−35

step 3: subtract 2 from both sides.

−3x+2−2=−35−2

−3x=−37

step 4: divide both sides by -3.

−3x

−3

=

−37

−3

x=

37

3

49%

step-by-step explanation:

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