A sample of 100 items has a population standard deviation LaTeX: \:\sigma\:\:σof 5.1 and a sample mean of 21.6. What is the value of the point estimate for the population mean?

The point estimate of population mean is 21.6.

Step-by-step explanation:

A point estimate is a numerical value that is used to estimate the value of the parameter under study.

The point estimate is calculated using the sample values.

For example, sample () is the point estimate of population mean (μ), sample standard deviation (s) is the point estimate of population standard deviation (σ), sample proportion () is the point estimate of population proportion (p).

It is provided that the sample mean of 100 items is,

Then the point estimate of population mean is:

Thus, the point estimate of population mean is 21.6.

37/3

step-by-step explanation:

step 1: simplify both sides of the equation.

7x+8(x+

1

4

)=3(6x−9)−8

7x+(8)(x)+(8)(

1

4

)=(3)(6x)+(3)(−9)+−8(distribute)

7x+8x+2=18x+−27+−8

(7x+8x)+(2)=(18x)+(−27+−8)(combine like terms)

15x+2=18x+−35

15x+2=18x−35

tep 2: subtract 18x from both sides.

15x+2−18x=18x−35−18x

−3x+2=−35

step 3: subtract 2 from both sides.

−3x+2−2=−35−2

−3x=−37

step 4: divide both sides by -3.

−3x

−3

=

−37

−3

x=

37

3

answer: 1 + 1 = 11

step-by-step explanation: