12. what is the probability that a point in the square below
is in the shaded region? write your answer as a
percent.

Step-by-step explanation:

we know that

The probability that a point in the square below  is in the shaded region, is equal to divide the area of the shaded region by the area of the square

step 1

Find the area of the shaded region

The area is equal to the area of the square minus the area of the circle

we have

---> length side of the square

----> the radius is half the diameter

assume

substitute

step 2

Find the area of the square

we have

---> length side of the square

substitute

step 3

Find the probability

Convert to percent form

see attached

step-by-step explanation:

given the function as;

write the equation replacing f(x) with y

form   and fill a table containing values of y with corresponding values of x

you can take a range for   values of x as -3≤x≤3

solving for x=-3

for x=-2

repeat the same procedure to get the values of y for the remaining ,x=-1 to x=3

plot the values of y against values   of x and obtain the following graph

a sample of water is taken and kept in a beaker in a freezer at a constant temperature of 0°c. if the system is at dynamic equilibrium, which of these statements is true?