Answer:
Lets take the hypothesis
<em>zα/2 </em>
<em>- zα/2 </em>
Step-by-step explanation:
<em>α/2 = 0.10/2 = 0.05
</em>
<em>z(0.05) = 3.92
</em>
<em>-z(0.05) = -3.92
</em>
Decimal: 0.72
Fraction: 18/25
Your answer is 163⁄<span>200 i thinks because if this is adding yeah</span>
Answer:
D
Step-by-step explanation:
Triangle BDC is a right triangle (If you dont understand I can explain in depth). Since it's a right triangle, we can use the pythagorean theorem to find the length of BD. The pythagorean theorem states that the length of the smaller legs squared = the longest side squared. So we can set up the equation 
+
=
where x is the length of the missing side (BD). If we were to solve for x, (I think you should know how to do this but if not I can explain), you get 12
Answer:
2.29 ft of side length and 1.14 height
Step-by-step explanation:
a) Volume V = x2h, where x is side of square base and h is hite.
Then surface area S = x2 + 4xh because box is open.
b) From V = x2h = 6 we have h = 6/x2.
Substitude in formula for surface area: S = x2 + 4x·6/x2, S = x2 + 24/x.
We get S as function of one variable x. To get minimum we have to find derivative S' = 2x - 24/x2 = 0, from here 2x3 - 24 = 0, x3 = 12, x = (12)1/3 ≅ 2.29 ft.
Then h = 6/(12)2/3 = (12)1/3/2 ≅ 1.14 ft.
To prove that we have minimum let get second derivative: S'' = 2 + 48/x3, S''(121/3) = 2 + 48/12 = 6 > 0.
And because by second derivative test we have minimum: Smin = (12)2/3 + 4(12)1/3(12)1/3/2 = 3(12)2/3 ≅ 15.72 ft2
