Suppose that each of the four experiments in problem 4.4/31 is to be performed n = 9 times, and the nine resulting distances averaged. estimate the probability p x (2 4) ≤ ≤ for each of (a), (b), (c), and (d). [note: use the central limit theorem, and the fact that, for (c), the mean and variance are µ = 3 and σ 2 = 1.5, respectively.]

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below:

idk lol xd

step-by-step explanation:

ez do it yourself lazy

this answer is !

the answer is:

the correct option:

b.

to solve the problem, we need to remember how to operate to simplify exponential expressions using the logarithms.

we are given the equation:

then, using placing logarith with base 7 on both sides of the equation, we have:

so, rounding the obtained result to two decimal places (nearest hundreth), we have:

hence, we have that the correct option:

b.

have a nice day!