Answer:
5) C
6) A
7) C
Step by step explanation:
Probabilities of choosing each color:
White: 1/6
Green: 1/3
Pink: 1/8
Yellow: 3/8
Find a common denominator
1/6, 1/3, 1/8, 3/8
24
4/24 , 8/24 , 3/24 , 9/24
3/24, (pink) has the highest chance of being picked because it's numerator is the highest of all the options.
C
6)
[tex]\frac{11}{2}x -2(3x - \frac{1}{8} )[/tex]
Multiply 2 by the values inside the parenthesis
[tex]\frac{11}{2}x\ -6x\ +\ \frac{1}{4}[/tex]
Convert 11/2x into a mixed number
[tex]5\ \frac{1}{2} x-6x\ +\ \frac{1}{4}[/tex]
Subtract the x's
[tex]-\frac{1}{2} x + \frac{1}{4}[/tex]
The answer to question #6 is A
7)
-2z ≥ 0
Use a few examples to represent z
z = -1 z = 0 z = 1
-2(-1) -2(0) -2(1)
2 0 -2
The value of -2z must be greater than zero, so z equaling any positive number is not an option.
The two option that did work for the value of z were (z = -1) and (z = 0),
so the inequality that represents this is (z ≤ 0)
C
Hope this helps :)
