None of the above. The correct answer would be 3.
Answer:
(-4, 5)
Step-by-step explanation:
The problem is a system of equations where you have two variables and can use the method of eliminate (eliminating one of the variables) to solve. In this case, you will need to multiply one of the fractions by a factor to eliminate a variable. It seems easiest to multiply the first equation by a factor of -5:
-5(x - 3y) = -24 (distribute) -5x + 15y = 120
Add the equations:
-5x + 15y = 120
<u>+5x + 8y = -5</u>
23y = 115 (divide by 23)
y = 5
Solve for 'x': x - 3(5) = -24 or x - 15 = 24 (add 15) x = -4
Ordered pair: (-4, 5)
Answer:2.41 s
Step-by-step explanation:
Given
Stairwell is at a height of 
and Height from where he starts 
Total height boy needs to cover is
using
where 
(3, 1)
substitute each ordered pair into the left side of the equation and if equal to the right side then it is a solution
(4, 1 )
(4 + 6) × 1 = 10 × 1 = 10 ≠ 9 ← not a solution
(2, 1 )
(2 + 6 ) × 1 = 8 × 1 = 8 ≠ 9 ← not a solution
(3, 1 )
(3 + 6 ) × 1 = 9 × 1 = 9 ← hence a solution
(12, 2 )
(12 + 6 ) × 2 = 18 × 2 = 36 ≠ 9 ← not a solution
Answer:
54.80 MPa to 55.92 MPa
Step-by-step explanation:
Sample mean fracture strength (x) = 55.36 MPa
Sample standard deviation (s) = 3.99 MPa
Sample size (n) = 196.
The upper and lower bounds for a 95% confidence interval are given by:
The upper and lower bounds of the confidence interval are;
The 95% confidence interval for true average fracture strength is 54.80 MPa to 55.92 MPa
