Anationwide test taken by high school sophomores and juniors has three sections, each scored on a scale of 20 to 80. in a recent year, the national mean score for the writing section was 51.2. based on this information, complete the folloiwng staements about the distribution of the scores on the writing section for the recent year.
1. according to chebyshev's theorem, at least % fo the scores lie within 2.5 standard deviations of the mean, 51.2.
2. suppose that the distribution is bell shaped. if approximately 99.7% of the scores lie between 23.6 and 78.8, then the approximate value of the standard deviation for the distribution, according to the empirical rule, is

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the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is

ok so what's the question?

step-by-step explanation: