Probablity=desiredoutcomes/totalpossibleoutcomes
total possible outcomes=1+2+4+3=10
desired outcomes=4 blue
probablity=4/10=2/5=40%
Answer:
The mean of the sampling distribution of x is 0.5 and the standard deviation is 0.083.
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 the population, we have that:
Mean = 0.5
Standard deviaiton = 0.289
Sample of 12
By the Central Limit Theorem
Mean = 0.5
Standard deviation 
The mean of the sampling distribution of x is 0.5 and the standard deviation is 0.083.
Double angle formulae involve trigonometric functions of double angles and in order to get its value you must consider the following:
-derive the double angle formula from additional formula
-write the formula for the angle in alternative form
-use the formula to write trigonometric expressions in different forms
-use the formula in the solution of trigonometric equations
And the answer would be 4sin(theta)cos(theta)cos(2theta)
Step-by-step explanation:
<u>Initial value is the y-intercept:</u>
<u>Rate of change is the difference in the charge amount per year:</u>
- m = (1350 - 1200) / (8 - 5) = 150 / 3 = 50
<u>The equation would be:</u>
