Please assist me with the missing answers. Scores on the final exam in Ms. Meyer's statistics class follow a normal distribution, with a mean of 82 and a standard deviation of 5. 1. Ron, who took Ms Meyer's class, scored 88 on the final. Ron's z-score is + ___ 2. This means that Ron's final score is A. 1.2 points above the mean B. 1.2 standard deviation above the mean C. 1.2 points below the mean D 1.2 standard deviation below the mean

Ron's z-score is +1.2.

B. 1.2 standard deviation above the mean .

Step-by-step explanation:

Let X deontes the scores of the final exam

Given : Ms. Meyer's statistics class follow a normal distribution with Mean =  82

standard deviation =5.1

Formula :

Ron scored 88 on the final.

So, put x=88

Ron's z-score is +1.2.

Also, 88= 86+(1.2 x 5.1) = Mean +1.2 x (standard deviation)

i.e.  This means that Ron's final score is 1.2 standard deviation above the mean .

step-by-step explanation:

we are given a graph for system of inequalities.

in order to write the system of inequalities for the given graph, we need to find the inequality for each of the line separately.

let us find the slope of dotted line first.

taking two coordinates on the graph.

let us say (0,0) and (3,1).

let us find the slope of the line now.

slope of the dotted line would be =.

y-intercept of dotted line is y=0 only.

plugging slope m= and b=0 in slope-intercept form y=mx+b, we get

.

the line is shaded up of that dotted line.

therefore, for shading up we would take greater than inequality symbol > .

and because it's a dotted line we would take only > symbol in place of = sign in above equation of line.

therefore, inequality for dotted line would be

let us take two points (3,1) and (0,4) on the solid line.

slope of the solid line would be =.

for the solid line we have y-intercept b= 4.

plugging slope m= -1 and b=4 in slope-intercept form y=mx+b, we get

y = -1x + 4.

the line is shaded down of that solid line.

therefore, for shading down we would take less than inequality symbol < .

and because it's a solid line we would take ≤ symbol in place of = sign in above equation of line.

therefore, inequality for solid line would be