Probability is defined as the ratio of the successful
events over total events. In this case an event is described as the color of
block.
The total number of blocks present in the bag is:
total blocks = 36 + 48 + 22 + 19
total blocks = 125
So calculating for each theoretical probability:
P (green) = 48 / 125 = 0.384
P (not yellow) = P (red or green or purple)
P (not yellow) = (125 – 22) / 125 = 0.824
P (yellow or not green) = P (yellow or red or purple)
P (yellow or not green) = (125 – 48) / 125 = 0.616
Answer: Check out the filled out chart below.
Row 1: 1/4, 1/4, -4
Row 2: -2, -2, 1/2
Row 3: 3, 3, -1/3
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Explanation:
Parallel lines have equal slopes. So if the original line has slope 1/4, then any parallel line will also have slope 1/4. The only thing different is the y intercept.
Perpendicular slopes multiply to -1 assuming neither line is vertical. For row 1, the perpendicular slope is -4 which multiplies with the original slope 1/4 to get -1.
Put another way, the perpendicular slope is the negative reciprocal of the original slope. For row 2, the perpendicular slope is 1/2 because we flip the fraction and the sign for the original slope -2 = -2/1
Answer:
b
Step-by-step explanation: B
Answer:
Solve the equation for x.
The simplified system is the arbitrary solution of the original system of equations.
Y=x+14
y=18−x2
Reorder 18
and −x2.
y=−x2+18
Y=x+14
Solve the equation for Y.
Y=−2y+50
x=36−2y
Reorder 36
and −2y.
x=−2y+36
Y=−2y+50
Step-by-step explanation:
6-3a+10b^2-2a-4b^2-3
-5a+6b^2+3