Answer:
The mean of the sampling distribution of the sample proportions is 0.82 and the standard deviation is 0.0256.
Step-by-step explanation:
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean
and standard deviation
, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean
and standard deviation
.
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For proportions, the mean is
and the standard deviation is 
In this problem, we have that:
.
So


The mean of the sampling distribution of the sample proportions is 0.82 and the standard deviation is 0.0256.
Answer:
Step-by-step eNow examine the right triangle on the left in the figure.
x%2F10=sin%2850%29, in reference to the 50 degree angle, hypotenuse is that slanted segment of 10 units, and "x" is the opposite side from the 50 degree angle.
Answer:
(x-2)²+(y-4)²=4
Step-by-step explanation:
<h3>
Answer: $4.46</h3>
===================================================
Work Shown:
3 containers = 6.69 dollars
3/3 containers = 6.69/3 dollars .... divide both sides by 3
1 container = 2.23 dollars
2*(1 container) = 2*(2.23 dollars) ... multiply both sides by 2
2 containers = 4.46 dollars
A shortcut is to start with "3 containers = 6.69 dollars" and multiply both sides by 2/3
Each mention of "container" refers to a half-gallon container.
Answer:
2
Step-by-step explanation:
The term of degree 4 is the term with the exponent of 4
2x^4
The coefficient is the number out in front
2x^4 has a coefficient of 2