Tai has a bag of different-colored balloons. Without looking in the bag, she selects a balloon, records its color, and puts it b
ack in the bag. All balloons are equally likely to be chosen. She performs 50 trials.
Number of times a red balloon was chosen 15
Number of times a yellow balloon was chosen18
Number of times a green balloon was chosen9
Number of times a pink balloon was chosen8
Based on the data Tai collected, what is the estimated probability, in simplest form, of choosing a yellow balloon from the bag?
A. 9/50
B. 18/100
C. 9/25
D. 50/18
Number of times a red balloon was chosen 15
Number of times a yellow balloon was chosen18
Number of times a green balloon was chosen9
Number of times a pink balloon was chosen8
Based on the data Tai collected, what is the estimated probability, in simplest form, of choosing a yellow balloon from the bag?
A. 9/50
B. 18/100
C. 9/25
D. 50/18
1 answer:
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Answer:
The product of the slopes of lines is -1.
i.e. m₁ × m₂ = -1
Thus, the lines are perpendicular.
Step-by-step explanation:
The slope-intercept form of the line equation
where
- m is the slope
- b is the y-intercept
Given the lines
y = 2/3 x -3 --- Line 1
y = -3/2x +2 --- Line 2
<u>The slope of line 1</u>
y = 2/3 x -3 --- Line 1
By comparing with the slope-intercept form of the line equation
The slope of line 1 is: m₁ = 2/3
<u>The slope of line 2</u>
y = -3/2x +2 --- Line 2
By comparing with the slope-intercept y = mx+b form of the line equation
The slope of line 2 is: m₂ = -3/2
We know that when two lines are perpendicular, the product of their slopes is -1.
Let us check the product of two slopes m₁ and m₂
m₁ × m₂ = (2/3)(-3/2 )
m₁ × m₂ = -1
Thus, the product of the slopes of lines is -1.
i.e. m₁ × m₂ = -1
Thus, the lines are perpendicular.