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.
Answer:
78.6
Step-by-step explanation:
Area of circle = Pi*r^2
r=5
for pi use calculator or pi=3.142
area =Pi*r2=(3.142)*5^2=(3.142)*25=78.55 = 78.6 (1 decimal place which is same with tenth)
Answer:
$160 hourly rate
Step-by-step explanation:
20 x 5 = 100
900 - 100 = 800
800 ÷ 5 = 160
To check: Multiply 160 by 5 and then add 100
45 yd. Area Is BH. the area of the base is 9. Times the height, 5, is 45
Answer:
Step-by-step explanation:
Another way to solve would be to distribute first:
22 = 2(x + 6)
22 = 2x + 12
Subtract 12:
22 - 12 = 2x - 12
10 = 2x
Divide by 2:
10 / 2 = 2x / 2
5 = x