The answer is 27.3375%.
To calculate this, a multiplication rule is used. The multiplication rule calculates the probability that both of two events will occur. In this method, the possibilities of each event are multiplied.
So, we have three events occurring simultaneously:
1. set contains female singer: 45% = 0.45
2. set contains female singer: 45% = 0.45
3. set contains female singer: 45% = 0.45
Also, it should be taken into consideration that there are three set combinations:
female-female-male,
female-male-female,
male-female-female
So, the probability for one set of the song is:
0.45 × 0.45 × 0.45 = 0.091125
Therefore, the probability is multiple ways to achieve this pattern of songs):
3 × 0.091125 = 0.273375 = <span>27.3375%.</span>
Answer:
probability=events over the sample space
Answer:
B) Undefined
Step-by-step explanation:
Vertical lines do not have a horizontal change; the line goes straight up and down. In other words, the change in the x values between any points on the graph is always 0, which would make the denominator of the slope 0. Since anything divided by 0 is undefined, the slope of a vertical line is <u>undefined</u>.
Source: https://www.brightstorm.com/math/algebra/linear-equations-and-their-graphs/finding-the-slope-of-a-line-from-a-graph-problem-3/
Answer: see below
<u>Step-by-step explanation:</u>
C(x) = 39 when 0 < x ≤ 1.0
C(x) = 63 when 1.0 < x ≤ 2.0
C(x) = 87 when 2.0 < x ≤ 3.0
C(x) = 111 when 3.0 < x ≤ 4.0
C(x) = 135 when 4.0 < x ≤ 5.0
C(x) = 159 when 5.0 < x ≤ 6.0
Based on the information I provided above, the answers are:
a) x= 0.6, C(x) = 1.0
x = 1.0, C(x) = 39
x = 1.1, C(x) = 63
x = 2.5, C(x) = 87
x = 3.0, C(x) = 87
x = 4.8, C(x) = 135
x = 5.0, C(x) = 135
x = 5.3, C(x) = 159
b) If C(x) = 87, then 2.0 < x ≤ 3.0
c) Domain (all possible x-values): 0 < x ≤ 6.0
d) Range (all possible y-values): {39, 63, 87, 111, 135, 159}
