A regular hexagon has a perimeter of 60 in. What is the hexagon's area?
1 answer:
Divide the perimeter by 5 since it is regular. 60/5 = 12. Split the hexagon into a triangle and a rectangle. Find the area of each and add them together. Area of the rectangle is 12*12 = 144. To find the area of the triangle, you need to find an angle measure= y, hypotenuse = c, and a leg = a or b. An easy way to find an angle measure is to cut down the altitude and find the angle next to the base and altitude which would be 90° due to the fact that the triangle is regular also. With the regular triangle split in half, you have two right angle which form both 90-45-45 triangles. Use this formula, 
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to find the area of the triangle which equals to 50.91. Add (((144+50.91 = 194.91))) I hope I got this right if not, i'm sorry lol.
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675 people will have score between 85 and 120
Step-by-step explanation:
Given
Mean = 100
SD = 15
If we have to find percentage of score between two values we have to find the z-score for both values and then area under the curve for both values
z-score is given by:
for a value x:
So,
For 85:
Now we have to find the area under the curve for both values of z-score. z-score tables are used for this purpose.
So,
For z1 : 0.1587
For z2: 0.9082
The area between z11 and z2:
So the probability of score between 85 and 120 is 0.7495
As the sample is of 900 people, the people with scores between 85 and 120 will be:
900*0.7495 = 674.55 people
Rounding off to nearest whole number
675 people will have score between 85 and 120
Keywords: Probability, SD
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