Jacob’s daily tips this work week were $99, $78, $58, $91, $90, and $68. Is Jacob correct in thinking that the median best represents how much money he makes in daily tips?

a. No, Jacob is not correct. The mean amount he makes is $82.67 in a day.
b. Yes, Jacob is correct. The mean amount he makes is $81.67 in a day.
c. No, Jacob is not correct. The median amount he makes is $86.00 in a day.
d. Yes, Jacob is correct. The median amount he makes is $84.00 in a day.

Option d: Yes, Jacob is correct. The median amount he makes is $84.00 in a day.

Explanation:

It is given that Jacob's daily tips for week are $99, $78, $58, $91, $90, and $68.

We need to determine the median of how much money he makes in daily tips.

Thus, to determine the median, first let us arrange the tips in ascending order.

Ascending order: $58, $68, $78, $90, $91 and $99

Since, the group is an even number of terms, let us add the two middle terms and divide by 2.

Median =

Thus, the median is 84.

Hence, The median amount Jacob makes is $84.00 in a day.

Thus, Option d is the correct answer.

(0,-3) see attached graph

step-by-step explanation:

a. to solve the system, graph the two equations.

x = y+3 becomes y=x-3 has m=1/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move up 1 unit and 1 unit to the right. plot a point and connect.

y=-4x+3 has m =-4/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move down four units and to the right 1 unit. plot a point and connect.

the solution is the point (x,y) where the two lines intersect. by the graph below it is (0,-3).

b. to solve by substitution, substitute y = -4x-3 into x= y+3

x= (-4x-3) +3

x=-4x

5x=0

x=0

now substitute x = 0 back in to find y.

y= -4(0)-3

y=0-3

y=-3

solution is (0,-3)

c. use elimination by adding the equations together.

x-y=3

4x+y=-3

5x=0

x=0

then substitute into one equation to find y.

y=-4(0)-3

y=-3

120 seems like the most sensible answer.

step-by-step explanation:

if there is only one topping on all caramel apples and there's 120 of them. then all apples should/will be covered in sprinkles. make sense?