.In the Star Wars franchise, Yoda stands at only 66 centimeters tall. Suppose you want to see whether or not hobbits from the Lord Of The Rings are taller than Yoda, on average. From prior research you know that the distribution of hobbit heights are approximately Normally distributed. From a sample of 7 hobbits, you find their mean height ¯ x = 80cm with standard deviation s = 10.8cm. Does sample evidence suggest at the α = 0.01 level of significance that the average hobbit is taller than Yoda? Use steps A through F to test the appropriate hypotheses.

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

final total: 63

step-by-step explanation:

60 times sales tax

60 times 0.05

3

60 + 3

63

step-by-step explanation:

he has 140 chickens because he has 10 times more chickens than ducks and he has 14 ducks so 14*10=140