Answer:
900 sample size
Step-by-step explanation:
To determine the sample size for a proportion, the margin of error formula is used to determine this:
Where p is the proportion, E is the margin of error, n is the sample size, q = 1 - p, 
is the z score.
Since the proportion is not known, the sample size needed to guarantee the confidence interval and error is at p = 0.5 and q = 1 - p = 1 - 0.5 = 0.5
E = 5% = 0.05, = 3. Hence:
Answer: 
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Work Shown:
Focus entirely on triangle ABD (or on triangle BCD; both are identical)
The two legs of this triangle are AB = 8 and AD = 8. The hypotenuse is unknown, so we'll say BD = x.
Apply the pythagorean theorem.
So that's why the diagonal BD is exactly 
units long
Side note: 
37 over 100, because 37 can't go into 100
Answer:
2.5
Step-by-step explanation:
Add up the 5s of the left side first and you will get 25. Then you add up the 5s on the otherside and you will get 10. Subtract the 10 from the 25 to get 15. Finally, divide 15 by 6 to get the weight of each triangle, 2.5
1: 5 x 5 = 25
2: 5 x 2 = 10
3: 25 - 10 = 15
4: 15/6 = 2.5
The weight of each triangle is 2.5
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