Answer:
Step-by-step explanation:
Answer: 3,19 which is larger than the original
Step-by-step explanation: if you consider that the original average is 3 you can say that all 25 students have 3 siblings so the average is 3, if you add another students with 8 siblings and do some math (25*3+8)/26 its 3,19
<span>.09X+.08(7,000-X)=588
.09X+560-.08X=588
.01X=588-560
.01X=28
X=28/.01
X=2,800 AMOUNT INVESTED @ 9%.
7,000-2,800=4,200 AMOUNT INVESTED @ 8%
PROOF:
.09*2,800+.08*4,200=588
252+336=588
588=588</span>
Answer:
Area: 3.7 ft²
Ratio: 73.14 : 1
Step-by-step explanation:
Perimeter of an octagon = 8*side
Replacing with perimeter = 7 ft:
7 = 8*side
side = 7/8 ft = 0.875 ft
that is, each side of the model is 7/8 ft length.
Area of an octagon = 2*(1 + √2)*side²
Area of an octagon = 2*(1 + √2)*(7/8)²
Area of an octagon = 3.7 ft²
Perimeter of real gazebo = 8*8 = 64 ft
Then, the ratio of the perimeters (in feet) of the real gazebo floor to the model gazebo floor is 64:0.875. Multiplying each term by 8/7, we get 73.14:1
Determine the number of standard deviations that needs to be subtracted from or added to the mean in order to arrive to the values given.
(1) 45 = 61.2 - 21.4n ; n = 0.757
(2) 78 = 61.2 + 21.4n ; n = 0.785
(3) 62 = 61.2 + 21.4n ; n = 0.037
(4) 90 = 61.2 + 21.4n ; n = 1.346
(5) 31 = 61.2 - 21.4n ; n = 1.4
Therefore, the answer for 45 and 78 is approximately 1 (letter b), for 62 is zero (letter a), and for the last two numbers, more than 1 or two (letter c).