Answer:
increase
Step-by-step explanation:
- Given data is: 71, 67, 67, 17, 69, 84, 21, 87
- Arranging in ascending order we find: 17, 21, 67, 67, 69, 71, 84, 87
- 4th term = 67, 5th term = 69
- -> median = Sum of 4th and 5th term/2 = (67 + 69)/2 = 132/2 = 66
- Now, when one of the 67 is replaced by 71, the new data set in ascending order will be: 17, 21, 67, 69, 71, 71, 84, 87
- Here, 4th term = 69, 5th term = 71
- New median = (69 + 71)/2 = 140/2 = 70
- -> new median > initial median
CONCLUSION: Median will increase if the number 71 replaced one of the 67's in the set.
I cannot see your picture, but if the plane cutting the cylinder is indeed perpendicular to the cylinder's base, then the cross section must be square or rectangular. Going by the shape of most cylinders, I would guess that it is rectangular.
Answer:
4.24 hours
Step-by-step explanation:
Irina can paint 1/9 of a room in 1 hour since she can paint a room in 9 hours. 1/9x, where x is the number of hours she works and 1/9 of a room per hour is her speed, would be her part of the calculation.
Paulo can paint 1/8 of a room in 1 hour since he can paint an entire room in 8 hours. 1/8x, where x is the number of hours he works and 1/8 of a room per hour is his speed, would be his part of the equation.
1/9x + 1/8x = 1 (Irina's portion of the room plus Paulo's portion of the room equals one complete room) would be the equation.
Look for a denominator that has the same value as the numerator. Both 9 and 8 split evenly into 72 as the initial number. We multiply the top of 1/9 by 8 to convert the fraction and get 8/72x because 9*8 = 72. We multiply the top of 1/8 by 9 to convert the fraction and get 9/72x because 8*9 = 72. We have 8/72x+9/72x=1 currently.
17/72x=1
÷ both sides by 17/72:
17/72x ÷ 17/72 = 1÷17/72
∴ x=1/1 * 72/17
∴ x=72/17= 4.24
Answer:
True
Step-by-step explanation:
Formula
Tan(x) = opposite / adjacent
Givens
x = 42
adjacent = 14
opposite = ?
Solution
Tan(42) = opp/14 Find tan(42)
Tan(42) = 0.900404
0.900404 = opp/ 14 Multiply both sides by 14
14 * 0.900404 = opp/14 * 14 Simplify the left
12.6 rounded = opp
a = 12.6
1 foot = 12 inches
2 x 12 = 24 +3 = 27 inches
3 x 12 = 36 +5 = 41 inches
27*41 = 1107 square inches
1107 * 0.35 = $387.45
