Answer:
The mean and standard deviation of the number preferring the incumbent is mean = 330, standard deviation = 10.59.
Step-by-step explanation:
We are given that From previous polls, it is believed that 66% of likely voters prefer the incumbent.
A new poll of 500 likely voters will be conducted. In the new poll the proportion favoring the incumbent has not changed.
Let p = probability of voters preferring the incumbent = 66%
n = number of voters polled = 500
<u>So, the mean of the number preferring the incumbent is given by;</u>
Mean = =
= 330 voters
<u>And, standard deviation of the number preferring the incumbent is given by;</u>
Variance =
=
= 112.2
So, Standard deviation =
= = 10.59
Answer:
i don't know
Step-by-step explanation:
BCD should have to equal 24 degrees because angles ACB and BCD look Complimentary and a complimentary is 2 angles that equal 90 degrees when combined since ACB and BCD look like a 90 degree angle I would say that BCD is 24 degrees
Asuming that all the teams have the same skill levels the game will mostly be chance. The chance of winning will be 1/12 because they are 1 out of 12 teams.
The given polynomial expressed as partial fraction is 5x^3 + 9/x
<h3>Polynomial function and partial fractions</h3>
Polynomial function are function that have a leading degree of 3. Given the expression below;
f(x) = (5x^4+9)/x
Applying partial fraction
Since the part fraction means separating the fraction into two parts, hence;
f(x) = 5x^4/x + 9/x
Simplify
Since there is value of x at both numerator and denominator, it will cancel out to have
f(x) = 5x^3 + 9/x
From the result, we can see that p(x) = 5x^3 and k = 9
Hence the given polynomial expressed as partial fraction is 5x^3 + 9/x
Learn more on polynomial here: brainly.com/question/2833285
#SPJ1