Answer: 183
Step-by-step explanation:
Given : A pilot sample of 50 voters found that 33 of them intended to vote in the election.
i.e. ![\hat{p}=\dfrac{33}{50}=0.66](https://tex.z-dn.net/?f=%5Chat%7Bp%7D%3D%5Cdfrac%7B33%7D%7B50%7D%3D0.66)
and the voters sampled = 50
Significance level : ![\alpha=1-0.99=0.01](https://tex.z-dn.net/?f=%5Calpha%3D1-0.99%3D0.01)
Critical value : ![z_{\alpha/2}=2.576](https://tex.z-dn.net/?f=z_%7B%5Calpha%2F2%7D%3D2.576)
Margin of error:E = 0.08
The formula to find the sample size is given by :-
![n=\hat{p}(1-\hat{p})(\dfrac{z_{\alpha/2}}{E})^2\\\\\Rightarrow\ n=0.66(1-0.66)(\dfrac{2.576}{0.08})^2\\\\=232.666896\approx233](https://tex.z-dn.net/?f=n%3D%5Chat%7Bp%7D%281-%5Chat%7Bp%7D%29%28%5Cdfrac%7Bz_%7B%5Calpha%2F2%7D%7D%7BE%7D%29%5E2%5C%5C%5C%5C%5CRightarrow%5C%20n%3D0.66%281-0.66%29%28%5Cdfrac%7B2.576%7D%7B0.08%7D%29%5E2%5C%5C%5C%5C%3D232.666896%5Capprox233)
Then, the additional voters need to be sample = ![233-50=183](https://tex.z-dn.net/?f=233-50%3D183)
Hence, the region should sample 183 additional voters.
First you must add/subtract all like terms. For example, 2y4 and 6y4 can be simplified. Once you have all your variables combined, you will get your answer.
Answer:
DATTEBAYOOO
It's just a pic of Naruto Uzumaki, BELEIVE IT
Step-by-step explanation:
Step-by-step explanation:
When Delta(b^2-4ac) is greater than 0, the quadratic equation has two distinct real solutions, when it is equal to 0, the quadratic equation has one real solution, when it is negative, it has no real solutions.
For this case, the first thing we must do is add all the masses.
We have then:
M = (41,918) + (41,918) + (24.83) + (24.83)
M = 133,496
We now write the answer in scientific notation:
M = 1.33496 * 10 ^ 2 grams
Answer:
The total mass of the four objects is:
M = 1.33496 * 10 ^ 2 grams