High School

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Viewer's Age Group Ratings:

| Age Group | Excellent | Good | Average | Poor | Marginal Total |
|-----------|-----------|------|---------|------|----------------|
| 16-25 | 52 | 42 | 12 | 7 | 113 |
| 26-35 | 33 | 50 | 9 | 5 | 97 |
| 36-45 | 58 | 12 | 28 | 34 | 132 |
| 46-55 | 25 | 17 | 22 | 12 | 76 |
| Marginal Total | 168 | 121 | 71 | 58 | 418 |

Note: A rating of good or excellent means the audience liked the movie, while a rating of poor means the audience disliked the movie.

A movie producer conducted a survey after a preview screening of her new movie to find out how the film would be received by viewers from different age groups. The table shows the numbers of viewers in different age groups who rated the film excellent, good, average, and poor.

Out of the total respondents, calculate the percentage of respondents from the 46-55 age group who rated the film excellent. Write your answer to two decimal places.

Answer :

The equation -3p + (1/8) = (- 1/4) holds true for p = 0.125.

Write your answer up to two decimal places ?

The equation is as follows:

-3p + ( 1/8 ) = ( - 1/4 )

The denominators of the two terms are different on the left-hand side of the equation.

The LCM of 1 and 8 is therefore 8.

Therefore,

- 3p × ( 8 / 8 ) + ( 1 / 8 ) × ( 1 / 1 ) = ( - 1 /4 )

- 24p / 8 + 1 / 8 = - 1 / 4

( - 24p + 1 ) / 8 = - 1 / 4

Add 8 to both sides of the equation now.

We get,

[ ( - 24p + 1 ) / 8 ]

× 8 = ( - 1 / 4 ) × 8

- 24p + 1 = - 8 / 4

- 24p + 1 = - 2

Add 1 to each side of the equation, then

- 24p + 1 - 1 = - 2 - 1

-24p = - 3

Subtract 24 from each side of the equation now.

- 24p / 24 = - 3 / 24

- p = ( - 1 / 8 )

On each side of the equation, multiply by -1.

( - p ) × ( - 1 ) = ( - 1 / 8 ) × ( - 1 ) ( - 1 )

p = 1 / 8

p = 0.125

The equation will be true for p = 0.125.

To learn more about fraction refer

https://brainly.com/question/28450647

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