Answer:
The probability that the all three votes are Democrats
P(X=3) = 0.1038
Step-by-step explanation:
<u><em>Step(i):-</em></u>
Given that the all voters are democrats
The probability that the all voters are democrats
p = 47% =0.47
q = 1-p =1-0.47 = 0.53
<u><em>Step(ii):-</em></u>
Let 'X' be the random variable in binomial distribution
![P(X=r) = n_{C_{r} } p^{r} q^{n-r}](https://tex.z-dn.net/?f=P%28X%3Dr%29%20%3D%20n_%7BC_%7Br%7D%20%7D%20p%5E%7Br%7D%20q%5E%7Bn-r%7D)
The probability that the all three votes are Democrats
P(X=3) = 0.1038
n=3 and r=3
![P(X=3) = 3_{C_{3} } (0.47)^{3} (0.53)^{3-3}](https://tex.z-dn.net/?f=P%28X%3D3%29%20%3D%203_%7BC_%7B3%7D%20%7D%20%280.47%29%5E%7B3%7D%20%280.53%29%5E%7B3-3%7D)
![P(X=3) = 1 (0.47)^{3}](https://tex.z-dn.net/?f=P%28X%3D3%29%20%3D%201%20%280.47%29%5E%7B3%7D)
P(X=3) = 0.1038
<u>Final answer:-</u>
The probability that the all three votes are Democrats
P(X=3) = 0.1038
<u></u>
Answer:
Yes, this is a parallelogram
Step-by-step explanation:
712/34 divide it then you have your answer :)
Answer: a reflection across the x-axis
In getting the scale factor, use the formula:
Scale factor = big / small
Scale factor = 8 / 2
Scale factor = 4 units