Answer:
Step-by-step explanation:
Simplifying
4x + 11 = k
Reorder the terms:
11 + 4x = k
Solving
11 + 4x = k
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-11' to each side of the equation.
11 + -11 + 4x = -11 + k
Combine like terms: 11 + -11 = 0
0 + 4x = -11 + k
4x = -11 + k
Divide each side by '4'.
x = -2.75 + 0.25k
Simplifying
x = -2.75 + 0.25k
Answer:
2
Step-by-step explanation:
Simplify the following:
(-(2 + 2/3))/(-(1 + 1/3))
(-(2 + 2/3))/(-(1 + 1/3)) = (-1)/(-1)×(2 + 2/3)/(1 + 1/3) = (2 + 2/3)/(1 + 1/3):
(2 + 2/3)/(1 + 1/3)
Put 1 + 1/3 over the common denominator 3. 1 + 1/3 = 3/3 + 1/3:
(2 + 2/3)/(3/3 + 1/3)
3/3 + 1/3 = (3 + 1)/3:
(2 + 2/3)/((3 + 1)/3)
3 + 1 = 4:
(2 + 2/3)/(4/3)
Put 2 + 2/3 over the common denominator 3. 2 + 2/3 = (3×2)/3 + 2/3:
((3×2)/3 + 2/3)/(4/3)
3×2 = 6:
(6/3 + 2/3)/(4/3)
6/3 + 2/3 = (6 + 2)/3:
((6 + 2)/3)/(4/3)
6 + 2 = 8:
(8/3)/(4/3)
Multiply the numerator by the reciprocal of the denominator, (8/3)/(4/3) = 8/3×3/4:
(8×3)/(3×4)
(8×3)/(3×4) = 3/3×8/4 = 8/4:
8/4
The gcd of 8 and 4 is 4, so 8/4 = (4×2)/(4×1) = 4/4×2 = 2:
Answer: 2
The answer to your question is 7/5
Answer:
nonproportional
Step-by-step explanation:
x + 3
------- is definitely nonproportional. The reason for this is that the graph (a
8 straight line) does not pass through the
origin; it's offset by 3/8 unit up from the
origin.
Answer:
Value of the test statistic, 
Step-by-step explanation:
Null hypothesis, 
Alternative hypothesis, 
Sample mean, 
Sample size, n = 110
Standard deviation, 
Significance level, 
The value of the test statistics is given by the formula:
