For a recent season in college football, the total number of rushing yards for that season is recorded for each running back. the mean number of rushing yards for the running backs that season is 790 yards. one running back had 1,637 rushing yards for the season, which is 2.42 standard deviations above the mean number of rushing yards. what is the standard deviation of the number of rushing yards for the running backs that season?
(a) 250 yards
(b) 300 yards
(c) 350 yards
(d) 400 yards
(e) 450 yards

The standard deviation of the number of rushing yards for the running backs that season is 350.

Step-by-step explanation:

Consider the provided information.

The mean number of rushing yards for the running backs that season is 790 yards. One running back had 1,637 rushing yards for the season, which is 2.42 standard deviations above the mean number of rushing yards.

Here it is given that mean is 790 and 1637 is 2.42 standard deviations above the mean.

Use the formula:

Here z is 2.42 and μ is 790, substitute the respective values as shown.

Hence, the standard deviation of the number of rushing yards for the running backs that season is 350.

the system of inequity is

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

the solid line passing through the points (0,4) and (4,0).

the related equation of solid line is .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

the related equation of dashed line is

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be . the required inequality is

similarly, check the second related equation.

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is