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.

intensity of the vector is v= √37 ≈ 6.08 units and make angle ∡α ≈ 9.46° with east direction

step-by-step explanation:

required vector is consists of the two componentsvx= 2+4=6 units   and vy= 1 unit and vx ⊥ vywe will use pythagorian theorem to find intensity of the vector vv∧2 = vx∧2 + vy∧2 => v = √vx∧2 + vy∧2 = √6∧2 + 1∧2 = √36+1 = √37 ≈ 6.08 unitsthe angle ∡α between vector and east direction we wil find with tanαtanα = 1/6 => α = arc tanα = arc 1/6 => α ≈ 9.46°

hope this

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