To start out, notice that you want the percent of voters that chose candidate A,
not the percent of the class that chose candidate A.
Your fraction should be "number that chose candidate A" out of "number of voters," which is the same thing as saying: "number that chose candidate A" divided by "number of voters"1) The numerator of the fraction should be the number of votes for candidate A, which is 11.
2) The denominator of the fraction should be the number of voters. You're told that "t<span>here were 11 votes for Candidate A and 15 votes for Candidate B," so there are:
</span>
![11 + 15 \: total \: votes](https://tex.z-dn.net/?f=11%20%2B%2015%20%5C%3A%20total%20%5C%3A%20votes)
3) Finally put parts 1 and 2 together into a fraction and multiply by 100 to get your percent. That is your final answer:
![\frac{11}{11+15} \times 100](https://tex.z-dn.net/?f=%20%5Cfrac%7B11%7D%7B11%2B15%7D%20%20%5Ctimes%20100)
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Answer: Top right choice, ![\frac{11}{11+15} \times 100](https://tex.z-dn.net/?f=%20%5Cfrac%7B11%7D%7B11%2B15%7D%20%5Ctimes%20100)
<span>
</span>
Answer:
x=6
Step-by-step explanation:
Answer:
87380
Step-by-step explanation:
The sum to n terms of a geometric sequence is
= ![\frac{a(r^n-1)}{r-1}](https://tex.z-dn.net/?f=%5Cfrac%7Ba%28r%5En-1%29%7D%7Br-1%7D)
where a is the first term and r the common ratio
r =
= 4 and a = 4, hence
=
=
= 87380
Answer:
0, 10
Step-by-step explanation:
The given function is:
![g(y) = \frac{y-5}{y^2-3y+15}](https://tex.z-dn.net/?f=g%28y%29%20%3D%20%5Cfrac%7By-5%7D%7By%5E2-3y%2B15%7D)
According to the quotient rule:
![d(\frac{f(y)}{h(y)}) = \frac{f(y)*h'(y)-h(y)*f'(y)}{h^2(y)}](https://tex.z-dn.net/?f=d%28%5Cfrac%7Bf%28y%29%7D%7Bh%28y%29%7D%29%20%20%3D%20%5Cfrac%7Bf%28y%29%2Ah%27%28y%29-h%28y%29%2Af%27%28y%29%7D%7Bh%5E2%28y%29%7D)
Applying the quotient rule:
![g(y) = \frac{y-5}{y^2-3y+15}\\g'(y)=\frac{(y-5)*(2y-3)-(y^2-3y+15)*(1)}{(y^2-3y+15)^2}](https://tex.z-dn.net/?f=g%28y%29%20%3D%20%5Cfrac%7By-5%7D%7By%5E2-3y%2B15%7D%5C%5Cg%27%28y%29%3D%5Cfrac%7B%28y-5%29%2A%282y-3%29-%28y%5E2-3y%2B15%29%2A%281%29%7D%7B%28y%5E2-3y%2B15%29%5E2%7D)
The values for which g'(y) are zero are the critical points:
![g'(y)=0=\frac{(y-5)*(2y-3)-(y^2-3y+15)*(1)}{(y^2-3y+15)^2}\\(y-5)*(2y-3)-(y^2-3y+15)=0\\2y^2-3y-10y+15-y^2+3y-15\\y^2-10y=0\\y=\frac{10\pm \sqrt 100}{2}\\y_1=\frac{10-10}{2}= 0\\y_2=\frac{10+10}{2}=10](https://tex.z-dn.net/?f=g%27%28y%29%3D0%3D%5Cfrac%7B%28y-5%29%2A%282y-3%29-%28y%5E2-3y%2B15%29%2A%281%29%7D%7B%28y%5E2-3y%2B15%29%5E2%7D%5C%5C%28y-5%29%2A%282y-3%29-%28y%5E2-3y%2B15%29%3D0%5C%5C2y%5E2-3y-10y%2B15-y%5E2%2B3y-15%5C%5Cy%5E2-10y%3D0%5C%5Cy%3D%5Cfrac%7B10%5Cpm%20%5Csqrt%20100%7D%7B2%7D%5C%5Cy_1%3D%5Cfrac%7B10-10%7D%7B2%7D%3D%200%5C%5Cy_2%3D%5Cfrac%7B10%2B10%7D%7B2%7D%3D10)
The critical values are y = 0 and y = 10.