3x + 1 = 6x - 4
-3x +4 -3x +4
5 = 3x
5/3 = x x is 5 divided by 3
Opposite sides must be parallel (arrows indicate this) and equal (set up and equation)
Answer:
t = 2
Step-by-step explanation:
Checking:
Answer:a=4
Step-by-step explanation:
Simplifying
4a + -5 + 2a + 9 = 28
Reorder the terms:
-5 + 9 + 4a + 2a = 28
Combine like terms: -5 + 9 = 4
4 + 4a + 2a = 28
Combine like terms: 4a + 2a = 6a
4 + 6a = 28
Solving
4 + 6a = 28
Solving for variable 'a'.
Move all terms containing a to the left, all other terms to the right.
Add '-4' to each side of the equation.
4 + -4 + 6a = 28 + -4
Combine like terms: 4 + -4 = 0
0 + 6a = 28 + -4
6a = 28 + -4
Combine like terms: 28 + -4 = 24
6a = 24
Divide each side by '6'.
a = 4
Simplifying
a = 4
Answer: 2.5%
Step-by-step explanation:
Mean score = 65
Standard deviation = 5
Score (x) = >75
Z-score = [(score - mean) ÷ standard deviation]
Z - score = [(75 - 65) ÷ 5]
Z - score = 10 ÷ 5 = 2
P(score higher than 75) = 100 - 95 = 5/2 = 2.5%
