Answer:
<em>The size of the sample 'n' = 2401</em>
Step-by-step explanation:
<u><em>Step:1</em></u>
Given that the margin of error = 2 % = 0.02
The margin of error is determined by
![M.E = \frac{Z_{0.05} \sqrt{p(1-p)} }{\sqrt{n} }](https://tex.z-dn.net/?f=M.E%20%3D%20%5Cfrac%7BZ_%7B0.05%7D%20%5Csqrt%7Bp%281-p%29%7D%20%7D%7B%5Csqrt%7Bn%7D%20%7D)
we know that the proportion
![\sqrt{p(1-p)} < \frac{1}{2}](https://tex.z-dn.net/?f=%5Csqrt%7Bp%281-p%29%7D%20%3C%20%5Cfrac%7B1%7D%7B2%7D)
<u><em>Step:2</em></u>
<em>The margin of error is determined by </em>
<em> </em>
<em></em>
![\sqrt{n} = \frac{1.96}{2 X 0.02}](https://tex.z-dn.net/?f=%5Csqrt%7Bn%7D%20%3D%20%20%5Cfrac%7B1.96%7D%7B2%20X%200.02%7D)
√n = 49
Squaring on both sides, we get
n = 49 × 49
n = 2401
<u>Final answer:-</u>
<em>The size of the sample 'n' = 2401 </em>
Answer:
x = 127
Step-by-step explanation:
The sum of the interior angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
Here n = 6, thus
sum = 180° × 4 = 720°
Sum the interior angles and equate to 720
x + 120 + 100 + 128 + 133 + 112 = 720, that is
x + 593 = 720 ( subtract 593 from both sides )
x = 127
Is there any other information?
Answer:
35
Step-by-step explanation:
x+8+243/2
x+251/2
x+251/2=4x+3
cross multiply
x+251=2(4x+3)
x+251=8x+6
x-8x=6-251
-7x=-245
x=-245/-7
x=35
The answer is B.
**
The triangles on the two ends are congruent. So, to find the prism area, it is enough to take the area of one of the triangles and multiply it by the prism depth, which is 20 units.
Use the Pythagorean theorem to find the height of the triangle. 5^2 - 3^2 = 4^2, so the height is 4. Multiply half times height times base: 1/2 x 4 x 3 = 6. Multiply that by the depth, 20. 6x20=120. The answer is in cubic units, or units^3