Determine whether the random variable is discrete or continuous. In each case, state the possible values of the random variable. (a) The number of free dash throw attempts before the first shot is made. (b) The amount of rain in City Upper B during April.

a. Discrete

b.Continuous

Step-by-step explanation:

a. A discrete random variable has a countable number of possible values.

-The probability of each value of a discrete random variable is between 0 and 1, and the sum of all the probabilities is equal to 1.

-The number of free dash throw attempts are countable. Hence, a Discrete Random Variable.

b. -A continuous random variable is a random variable where the data can take infinitely many values.

-A continuous random variable is a random variable is qualitative in nature.

-The amount of rainfall will take different values in different April months. Hence Continuous Random Variable.

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4