Answer:
99.7% data lies between 13 to 43
Step-by-step explanation:
Mean:
Standard deviation :
68% of data lies between to
95% of the data lies between to
99.7% data lies between to
We are supposed to find 99.7 of the data will lie between which values
99.7% data lies between to
99.7% data lies between 13 to 43
Hence 99.7% data lies between 13 to 43
∧ -1
X = 1/2 X
Answer = 1/2 x
We'd need to figure out the side of the bigger pentagon, which is going to be messy, but we can do it!
The area of a pentagon equation is messy, and we need to solve for the side given the area, which would be sqrt((4*area)/((5(5+2sqrt(5)))^(1/2)) or sqrt((4*8)/((5(5+2sqrt(5)))^(1/2)) . We get this from the pentagon equation, multiplying both sides by 4 dividing (5(5+2sqrt(5)))^(1/2)) from both sides, then square rooting that to get the side length
Plugging it in, we get 2 and some more, and we multiply that by 2 to get the bigger side length. Plugging that into the area equation, we get a=32 and 32-8=24
Is there multiple choice answers of so if would make it a little easier to help you