A. define the variables : a = abby's miles, j = james' miles
b. a = j + 4......j = a - 4
c. a + j = 28
a = j + 4
d. (j + 4) + j = 28
2j + 4 = 28
2j = 28 - 4
2j = 24
j = 24/2
j = 12
a = j + 4
a = 12 + 4
a = 16
e. check..
a + j = 28
16 + 12 = 28
28 = 28 (correct)
solution is : abby's miles (a) = 16
james' miles (j) = 12
Answer:
Population is;
Option A - All women in the country
Sample is Option C;The 1,004 women selected
Step-by-step explanation:
We are told that 1004 women in a country were asked whether they favor or oppose the use of "federal tax dollars to fund medical research using stem cells obtained from human embryos.
This 1004 women is just a sample among the entire women in the country.
Thus, the population is all women in the country while the sample is 1004 Women
(x+5,y-6) is the coordinate notation.
Answer: y = 1/2x - 7
<u>Data</u>
Point = (-4, -9)
slope = m = 1/2
<u>Process</u>
To solve this problem, use the formula slope- y-coordinate, substitute the values and simplify.
<u>Equation</u>
y - y1 = m (x - x1)
x1 = -4
y1 = -9
<u>Substitution</u>
y + 9 = 1/2 (x + 4)
<u>Simplification</u>
y + 9 = 1/2x + 4/2
y = 1/2x + 2 - 9
<u>Answer</u>
y = 1/2x - 7
= (1 - tan^2 (x)) / (1 + tan^2 (x))
= (1 - (-4/3)^2) / (1 + (-4/3)^2)
= (1 - (16/9)) / (1 + (16/9))
= (9 - 16) / (9 + 16) [By multiplying numerator and denominator with 9]
= (-7) / (25)
= -7/25