The assets (in billions of dollars) of the four wealthiest people in a particular country are 47, 30, 28, 18. Assume that samples of size n=2 are randomly selected with replacement from this population of four values. a. After identifying the 16 different possible samples and finding the mean of each sample, construct a table representing the sampling distribution of the sample mean. In the table, values of the sample mean that are the same have been combined.

The mean of a dataset is the average value of the dataset.

The dataset is given as:

47, 30, 28 and 18

From the above dataset, we can see that the data elements are 4

The sample size is given as:

n = 2

So, the number of different samples is:

The 16 samples are: {(47,47), (47,30), (47,28), (47,18),(30,47), (30,30), (30,28), (30,18),(28,47), (28,30), (28,28), (28,18),(18,47), (18,30), (18,28), (18,18)}

The mean values of the above samples are: {47, 38.5, 37.5 , 32.5 , 38.5 , 30 , 29 , 24 , 37.5 , 29 , 28 , 23 , 32.5 , 24 , 23 , 18}

Rearrange in ascending order

18, 23, 23, 24, 24, 28, 29,29, 30, 32.5, 32.5, 37.5, 37.5, 38.5, 38.5, 47

So, the table of the sample means is:

Mean             Frequency

18                       1

23                      2

24                      2

28                      1

29                      2

30                      1

32.5                   2

37.5                   2

38.5                   2

47                       1

Total                 16

Read more about sample mean at:

link

Step-by-step explanation:

The 16 possible permutations and their means are:

47, 47: μ = 47

47, 30: μ = 38.5

47, 28: μ = 37.5

47, 18: μ = 32.5

30, 47: μ = 38.5

30, 30: μ = 30

30, 28: μ = 29

30, 18: μ = 24

28, 47: μ = 37.5

28, 30: μ = 29

28, 28: μ = 28

28, 18: μ = 23

18, 47: μ = 32.5

18, 30: μ = 24

18, 28: μ = 23

18, 18: μ = 18

So the frequency distribution of the sample means is:

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions

answer: option a.

step-by-step explanation:

you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.

then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.

you can observe in the figure that the angles ∠opq   and the angle ∠orq   are opposite, therefore:

then, can be used to d to calculate the measure of ∠opq