Marjin-O'Heara is investigating the color of the new jersey for a basketball team. The firm collected survey data from 400 fans after a game at the stadium and asked them to rate the color from 0 to 10 (where 0 is strongly disliked and 10 is strongly liked). The data showed that the new color scored a sample average of 6.5. The sample standard deviation of the survey data was 0.4. Based upon the findings, Marjin-O'Heara recommended that CoSport put the new jerseys into production. In your assignment, you've been called in to analyze the data and evaluate the company's finding.

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

the answer is:

the lateral area is equal to

to find the lateral area of the square pyramid, first we need to find the perimeter of the base, and then, find the lateral area using the following formulas:

where,

s, is the base length

slant height, is the height of a the side of the pyramid

we are given:

now, calculating the perimeter of the base, we have:

then, calculating the lateral area:

hence, we have that the lateral area is equal to

have a nice day!