Answer:
To answer this question, conversation or equivalent rate is needed. How much Australian dollar is in U.S dollar? Due to exchange rate fluctuations, this rate should be provided in the question.
Answer: 0.1854
Step-by-step explanation:
Given : Suppose that a particular candidate for public office is in fact favored by 48% of all registered voters in the district.
Let 
be the sample proportion of voters in the district favored a particular candidate for public office .
A polling organization will take a random sample of n=500 voters .
Then, the probability that p will be greater than 0.5, causing the polling organization to incorrectly predict the result of the upcoming election :
![P(\hat{p}>0.5)=P(\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}>\dfrac{0.5-0.48}{\sqrt{\dfrac{0.48(0.52)}{500}}})\\\\=P(z>0.8951)\ \ [\because\ z=(\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}]\\\\=1-P(z\leq0.8951)\ \ [\because\ P(Z>z)=1-P(Z\leq z)]\\\\ = 1-0.8146=0.1854](https://tex.z-dn.net/?f=P%28%5Chat%7Bp%7D%3E0.5%29%3DP%28%5Cdfrac%7B%5Chat%7Bp%7D-p%7D%7B%5Csqrt%7B%5Cdfrac%7Bp%281-p%29%7D%7Bn%7D%7D%7D%3E%5Cdfrac%7B0.5-0.48%7D%7B%5Csqrt%7B%5Cdfrac%7B0.48%280.52%29%7D%7B500%7D%7D%7D%29%5C%5C%5C%5C%3DP%28z%3E0.8951%29%5C%20%5C%20%5B%5Cbecause%5C%20z%3D%28%5Cdfrac%7B%5Chat%7Bp%7D-p%7D%7B%5Csqrt%7B%5Cdfrac%7Bp%281-p%29%7D%7Bn%7D%7D%7D%5D%5C%5C%5C%5C%3D1-P%28z%5Cleq0.8951%29%5C%20%5C%20%5B%5Cbecause%5C%20P%28Z%3Ez%29%3D1-P%28Z%5Cleq%20z%29%5D%5C%5C%5C%5C%20%3D%201-0.8146%3D0.1854)
∴ Required probability = 0.1854
Answer:
ALL REAL NUMBERS actually
Step-by-step explanation:
Any exponential function like this, is ALWAYS R.
-- A rectangle has 4 sides.
-- Each side has the same length as the side directly across from it.
-- So there are two sides that are both the width of the rectangle,
and another two sides that are both the length of the rectangle.
-- In this particular rectangle, when you add up all four sides,
the sum is 32 feet.
-- The width of the rectangle is 9 feet. So there are two sides that are
both 9 feet. When you add those up, you have 18 feet.
-- The REST of the 32 feet belongs to the other two sides.
That much is (32 - 18) = 14 feet. That's what the other two
sides add up to when you add them.
-- The other two sides are equal. So each of them is half of 14 = 7 feet .
This rectangle, or the description of it, is slightly weird.
The length of the rectangle is shorter than the width.
But that's OK. Two sides are 9 feet, and two sides are 7 feet, and
when you add them all up, you get 32 feet, so our solution is correct.
Let them call the sides anything they want to.
Answer:
19. (-∞,-5)U(-5,2)U(2,∞)
20. (-∞,-6)U(-6,4)U(4,∞)
21. (-∞,10)U(-10,3)U(3,7)U(7,∞)
Step-by-step explanation:
To summarize these three equations, ignore the numerators for every three equations listed, flip the + and - for each side to get the x values. You have to put the values from smallest to largest in order to state the domain. You need this sign -> U for the answers.
