Answer:
750%
Step-by-step explanation:
We know that 100% of 5 is 5,
200% of 5 is 10,
300% of 5 is 15,
400% of 5 is 20,
500% of 5 is 25,
600% of 5 is 30,
700% of 5 is 35,
800% of 5 is 40.
So 37 1/2 percent of 5 must be between 700 and 800 percent of 5. We also know that 2.5 is 50% of 5, and 35 + 2.5 = 37.5. So 37 1/2 is 750% of 5
To get the z-value of the scores of the four students, we are going to use the formula for standard score or z-score. It is score minus the mean score, then divided by standard deviation.
z= Score (X)-Mean / SD
To find the z-value of each score, we have to use a Z table. Using the z-score, we are to look first at the y-axis of the table which will highlight the first two digits of the z-score. Then, the x-axis for the second decimal place of the z-score.
You can use this as reference for the z-table: http://www.stat.ufl.edu/~athienit/Tables/Ztable.pdf
Mean= 500SD= 100Scores= 560, 450, 640, 530
For the student who scored 560,z= X-Mean / SDz= 560-500 / 100z= 60 / 100z= 0.6
The score is 0.6 standard deviation above the mean. The z-value is 0.7257 or 72.57%.
For the student who scored 450,z= X-Mean / SDz= 450-500 / 100z= -50 / 100z= -0.5
The score is -0.5 standard deviation above the mean. The z-value is 0.3085 or 30.85%.
For the student who scored 640,z= X-Mean / SDz= 640-500 / 100z= 140 / 100z= 1.4
The score is 1.4 standard deviation above the mean. The z-value is 0.9192 or 91.92%.
For the student who scored 530,z= X-Mean / SDz= 530-500 / 100z= 30 / 100z= 0.3
The score is 0.3 standard deviation above the mean. The z-value is 0.6179 or 61.79%.
If three dozens took 15 minutes that five minutes a dozen and with six dozens it would be 30 minutes
Let the cosecutive numbers be like this :
2n + 1 , 2n + 2 , 2n + 3 , 2n + 4 , 2n + 5
Odd , Even , Odd , Even , Odd
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So we have :
(2n+1)+(2n+3)+(2n+5)=(2n+2)+(2n+4) + 39
6n + 9 = 4n + 6 + 39
6n + 9 = 4n + 45
Subtract both sides 9
6n + 9 - 9 = 4n + 45 - 9
6n + 0 = 4n + 36
6n = 4n + 36
Subtract both sides 4n
6n - 4n = 4n - 4n + 36
2n = 0 + 36
2n = 36
Divide both sides by 2
2n ÷ 2 = 36 ÷ 2
<em>n</em><em> </em><em>=</em><em> </em><em>1</em><em>8</em><em> </em>
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So the numbers are :
2(18)+1 , 2(18)+2 , 2(18)+3 , 2(18)+4 , 2(18)+5
36 + 1 , 36 + 2 , 36 + 3 , 36 + 4 , 36 + 5
37 , 38 , 39 , 40 , 41
As u can see the Odd numbers are :
37 , 39 , 41
And we're done ...
Roughly, the perimeter of the room, including the sitting area, would be 65.909 ft squared. The perimeter of the semicircle would be approximately 13.909 ft. Then, add it to the 24 (12 x 2) and 28 (14 x 2), and you get 65.909 ft squared. As for the area, it would 168 (12 x 14) + pi (3.1415...) x 6 squared (radius squared - radius is half of the diameter) divided by two (since it's a semicircle). So then, your answer would be about <span>224.54 square feet.</span>
