162 is not a perfect square therefore you have to find the largest perfect square that can go into 162 which would be 81.
Solution :
a). The point estimate of proportion of college graduates among women who work at home,
= 0.3281
99.5% confidence interval
Answer:
(1, 2 )
Step-by-step explanation:
Given the 2 equations
- 2x - y = - 4 → (1)
x + 2y = 5 → (2)
Multiplying (2) by 2 and adding result to (1) will eliminate x- term
2x + 4y = 10 → (3)
Add (1) and (3) term by term to eliminate x
0 + 3y = 6
3y = 6 ( divide both sides by 3 )
y = 2
Substitute y = 2 into either of the 2 equations and solve for x
Substituting into (2)
x + 2(2) = 5
x + 4 = 5 ( subtract 4 from both sides )
x = 1
solution is (1, 2 )
Answer:y=-3x+7
Step-by-step explanation:y+5=-3(x-4)
=>y+5=-3x+12
=>y=-3x+12-5
•°•y=-3x+7.
Answer:
35 feet
Step-by-step explanation:
We'll begin by calculating the resultant for you and your friend.
For you:
R² = 12² + 9²
R² = 144 + 81
R² = 225
Take the square root of both side
R = √225
R = 15 feet
For your friend:
R² = 16² + 12²
R² = 256 + 144
R² = 400
Take the square root of both side
R = √400
R = 20 feet
Finally, we shall determine the distance between you and your friend.
The distance between you and your friend is obtained by adding your resultant and that of your friend together i.e
You resultant = 15 feet
Your friend's resultant = 20 feet
Distance between you and your friend = 15 + 20 = 35 feet.
Therefore, you threw the baseball 35 feet away from your friend.
