Let the sisters have dollars in the amounts of a,b,c.
<span>After the youngest splits half of hers with the others, they have </span>
<span>a/2, b+a/4, c+a/4 </span>
<span>After the middle gives each of the others 4, they have </span>
<span>a/2 + 4, b+a/4 - 8, c+a/4 + 4 </span>
<span>After the eldest splits half of hers with the others, they have </span>
<span>a/2 + 4 + (c+a/4 + 4)/4, b+a/4 - 8 + (c+a/4 + 4)/4, (c+a/4 + 4)/2 </span>
<span>Now they all have 16. </span>
<span>a/2 + 4 + (c+a/4 + 4)/4 = 16 </span>
<span>b+a/4 - 8 + (c+a/4 + 4)/4 = 16 </span>
<span>(c+a/4 + 4)/2 = 16 </span>
<span>substituting in the last expression, we have </span>
<span>a/2 + 4 + 8 = 16 </span>
<span>b + a/4 - 8 + 8 = 16 </span>
<span>c/2 + a/8 + 2 = 16 </span>
<span>a = 8 </span>
<span>b = 14 </span>
<span>c = 26</span>
F(3) = 2(3)+6
f(3)= 6+6
f(3)=12
Hope this helps!
Answer:
2x+3
Step-by-step explanation:
2(x+4)-5
2x+8-5 8-5=3
2x+3
Answer:
Standard deviation of the students = 0.408
The students would you have to poll to be 95% confident of the outcome within /- 2% of the vote
= 0.408 X 1600
= 652.8
Step-by-step explanation:
<u><em>Step(i):</em></u>-
Given sample size 'n' = 1600
95% confidence interval of the margin error is determined by
![M.E = \frac{Z_{0.05} S.D}{\sqrt{n} }](https://tex.z-dn.net/?f=M.E%20%3D%20%5Cfrac%7BZ_%7B0.05%7D%20S.D%7D%7B%5Csqrt%7Bn%7D%20%7D)
Level of significance = 0.05
Z₀.₀₅ = 1.96
Given Margin of error = 2% = 0.02
![M.E = \frac{Z_{0.05} S.D}{\sqrt{n} }](https://tex.z-dn.net/?f=M.E%20%3D%20%5Cfrac%7BZ_%7B0.05%7D%20S.D%7D%7B%5Csqrt%7Bn%7D%20%7D)
![0.02 = \frac{1.96 X S.D}{\sqrt{1600} }](https://tex.z-dn.net/?f=0.02%20%3D%20%5Cfrac%7B1.96%20X%20S.D%7D%7B%5Csqrt%7B1600%7D%20%7D)
0.02 X √1600 = 1.96 X S.D
![S.D = \frac{0.02X\sqrt{1600} }{1.96} = 0.408](https://tex.z-dn.net/?f=S.D%20%3D%20%5Cfrac%7B0.02X%5Csqrt%7B1600%7D%20%7D%7B1.96%7D%20%3D%200.408)
Standard deviation of the students = 0.408
The students would you have to poll to be 95% confident of the outcome within /- 2% of the vote
= 0.408 X 1600
= 652.8