For each of the following, describe the sample space, s.
a) a mother has a child; it is either a boy or a girl.
b) a cancer patient is treated with a new type of treatment; the response variable is the length of time the patient lives after the treatment.
c) an a.p. statistics student receives a grade at the end of the semester.
d) a basketball player shoots four free throws. the number of makes is recorded.
e) a basketball player shoots four free throws. the sequence of makes and misses is recorded.
f) toss a coin 4 times and record the results.

The sample space is the set of all possible entities that can exist in a particular situation. 

a){boy, girl}
b) {length of time the patient lives after the treatment.}
c) {grades}
d) {shot, missed, shot, missed}
e) S: shot; M missed {, SSSM, SSMM, SMMM, , MMMS, MMSS, MSSS, SMSS, SSMS, SMMS, MSSM, MSMS, SSMM, SMSM..}
f) H head, T tail {the sequence is like in e except that it is H instead of S and T instead of M}

88.4ft²

Step-by-step explanation:

oh lordy, why, why, nobody's garden is actually like this, and even if it was, you don't need to know the area, hold onto your hats:

So, we're going to assume that we can split the 10.4 evenly into the triangles and the trapezoid, so let's start with that:

10.4 ÷ 2 = 5.2 (if this is what get the whole thing wrong, I'm so sorry)

So, now we're going to do the triangle to the left of the trapezoid (remember that the formula for a triangle is base x height ÷ 2):

6 x 5.2 ÷ 2 = 15.6

So the area is 15.6ft

Now let's do the triangles under the trapezoid:

So the entire length of the under thing is 18 feet, and we take off 6 from the previous triangle, so:

18 - 6 = 12

and we're going to assume that both the triangles are equal:

12 ÷ 2 = 6

6 x 5.2 = 15.6 (at this point I realize that all the triangles are equal, welp, we just did that for nothing, anyways) now we need two of them

15.6 x 2 = 31.2

So the area of the triangles under the trapezoid is 31.2ft

Now, the trapezoid:

so we know that the top base is 4 feet, and we know that the bottom one is 12 from the triangles above us, (the formula for a trapezoid is (base + base)height ÷ 2) so:

4 + 12 = 16

16 x 5.2 = 83.2

83.2 ÷ 2 = 41.6

So the trapezoid is 41.6ft

Now we add all of our disgustingness together:

15.6 + 31.2 + 41.6 = 88.4

So, the area of the entire garden is 88.4ft²

hope this helps:)