15/x = 20/100
15*100 = 20*x
1500 = 20x
1500/20 = 20x/20
75 = x
15/75 = 20/100
the expected number of couples who met online is 75
Answer:
First Quartile Q1 = 9.9525
Step-by-step explanation:
For a standard normal distribution,
First quartile Q1 = μ - 0.675 σ
From the question mean μ = 10.56
Standard deviation σ = 0.9
Plugging these values into the first quartile equation, we have;
Q1 = 10.56 -0.675(0.9)
Q1 = 10.56 - 0.6075
Q1 = 9.9525
The number of combinations of the 8 candidates taken 4 at a time is:
A, C and E all work in the equations. In order for them to work, you must use the ordered pair in each of the three situations. Below is the work for all of the correct answers.
Ordered Pair A : (1, -1)
y < x + 1
-1 < 1 + 1
-1 < 1 (TRUE)
y < 4
-1 < 4 (TRUE)
x < 6
1 < 6 (TRUE)
Ordered Pair C : (4, 2)
y < x + 1
2 < 4 + 1
2 < 5 (TRUE)
y < 4
2 < 4 (TRUE)
x < 6
5 < 6 (TRUE)
Ordered Pair E : (4, -2)
y < x + 1
-2 < 4 + 1
-2 < 5 (TRUE)
y < 4
-2 < 4 (TRUE)
x < 6
4 < 6 (TRUE)
