The scale factor 0.05 refers to length, so for area the scale factor is 0.05²=0.0025.
We then multiply: 220 ft²*0.0025=0.55 ft² (choice A)
Given:
Population proportion,
![\mu _{p}](https://tex.z-dn.net/?f=%5Cmu%20_%7Bp%7D)
= 57% = 0.57
Population standard deviation, σ = 3.5% = 0.035
Sample size, n = 40
Confidence level = 95%
The standard error is
![SE_{p} = \sqrt{ \frac{p(1-p)}{n} } = \sqrt{ \frac{0.57*0.43}{40} } =0.0783](https://tex.z-dn.net/?f=SE_%7Bp%7D%20%3D%20%20%5Csqrt%7B%20%5Cfrac%7Bp%281-p%29%7D%7Bn%7D%20%7D%20%3D%20%5Csqrt%7B%20%5Cfrac%7B0.57%2A0.43%7D%7B40%7D%20%7D%20%3D0.0783)
The confidence interval is
![\hat{p} \pm z^{*}SE_{p}](https://tex.z-dn.net/?f=%5Chat%7Bp%7D%20%5Cpm%20z%5E%7B%2A%7DSE_%7Bp%7D)
where
![\hat{p}](https://tex.z-dn.net/?f=%5Chat%7Bp%7D)
= sample proportion
z* = 1.96 at the 95% confidence lvvel
The sample proportion lies in the interval
(0.57-1.96*0.0783, 0.57+1.96*0.0783) = (0.4165, 0.7235)
Answer: Between 0.417 and 72.4), or between (41% and 72%)
<span>This problem is an
example of ratio and proportion. A ratio is a comparison between two different
things. You are given the time of about 26.1 seconds to fold 1
shirt. Also you are given 48 shirts. You are required to find the time
in seconds to fold 48 shirts. The solution of this problem is,</span>
<span>
26.1 seconds /1
shirt = time/ 48
shirts</span>
<span>time = (48 shirts)
(26.1 seconds /1 shirt)</span>
<span>time<u> = 1,252.8
seconds</u></span>
<u>The time
it takes to fold 48 shirts is 1,252.8 seconds.</u>
Answer:
200 kg
Step-by-step explanation:
If w is the amount of water added, then the concentration of the solution is ...
salt/solute = 100(0.30)/(100 +w) = 0.10
30 = 10 +0.10w . . . . . simplify
20 = 0.10w . . . . . . . . subtract 10
20/0.10 = w = 200 . . . . divide by 0.10
200 kg of water must be added to dilute the solution to 10%.
Answer:
Done below!
Step-by-step explanation:
(x - root)
(x - 2)(x - (-1))(x - (-5)) = (x - 2)(x + 1)(x + 5)
![(x^{2} +x-2x-2)(x+5)=(x^{2} -x-2)(x+5)=x^{3}+5x^{2}-x^{2} -5x-2x-10\\\\=x^{3}+4x^{2} -7x-10](https://tex.z-dn.net/?f=%28x%5E%7B2%7D%20%2Bx-2x-2%29%28x%2B5%29%3D%28x%5E%7B2%7D%20-x-2%29%28x%2B5%29%3Dx%5E%7B3%7D%2B5x%5E%7B2%7D-x%5E%7B2%7D%20%20%20-5x-2x-10%5C%5C%5C%5C%3Dx%5E%7B3%7D%2B4x%5E%7B2%7D%20-7x-10)