-x + 8 = x - 10
8 - x = x - 10
8 = x - 10 + x
8 = 2x - 10
8 + 10 = 2x
18 = 2x
18/2 = x
9 = x
x = 9
Answer:
A) allows the population effect on log earnings of being married to depend on gender
Step-by-step explanation:
The regression equation of a dependent variable based on two or more independent variables is of the form:
Here,
<em>Y</em> = dependent variable
and 
= independent variables
= interaction term
= regression coefficients.
If there is a significant interaction effect present then this implies that the effect of one independent variable ( or ) on the dependent variable (<em>Y</em>) differs every time with different value of the other independent variable ( or ) .
The provided regression equation is:
= dependent variable
and 
= independent variables
In this case the interaction term is defined as follows:
The effect of being married on log earnings is dependent on different values of the variables , i.e. the gender of the 
person.
Thus, the correct option is (A).
Answer: P(odd) = 0.499
Step-by-step explanation:
Given:
Total number of people = 20
Number of men = 12
Number of women = 8
Number of jury to be selected = 6
For the jury to have an odd number of women. it must have either of the three.
1. 1 woman , 5 men
2. 3 women, 3 men
3. 5 women, 1 man
The total possible ways of selecting the 6 people jury is;
N = 20C6 = 20!/6!(20-6)!
N = 38760
The possible ways of selecting;
Case 1 : 1 woman, 5 men
N1 = 8C1 × 12C5
N1 = 8 × 792 = 6336
Case 2 : 3 women , 3 men
N2 = 8C3 × 12C3
N2 = 12320
Case 3 : 5 women, 1 man
N3 = 8C5 × 12C1
N3 = 672
P(Odd) = (N1+N2+N3)/N
P(odd) = (6336+12320+672)/38760
P(odd) = 19328/38760
P(odd) = 0.499
C. Corresponding Angles Postulate
