32 : 64 = 12 : 24
or
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1 answer:
The histogram of a probability distribution is right-skewed and each bar has the same width and the same height.
<h3>What is a histogram?</h3>It is defined as the numerical data representation in the graph with the help of a bar without space. The histogram gives an idea about the data's approximate distribution.
We have:
The player receives one ticket from the game for every 10 points scored. So,
Number of tickets received T = (1/10)X
From the table attached, we can plot a graph or probability histogram using the number of tickets on the horizontal axis and the probability on the vertical axis.
Right-skewed is the probability distribution. Each bar has the same width and the same height, which symbolizes the likelihood. The highest likelihood is 0.32, which is represented by the right-hand highest bar. The rightmost bar represents the lowest value of 0.07.
Thus, the histogram of a probability distribution is right-skewed and each bar has the same width and the same height.
Learn more about the histogram here:
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Answer:
18 square units
Step-by-step explanation:
When one side is vertical or horizontal, it is convenient to find the height from the opposite vertex to that side. It is generally an integer number of grid squares.
Here, the height is 4 -(-2) = 6. The base length is 1 -(-5) = 6. That means the area is ...
A = 1/2bh
A = 1/2(6)(6) = 18 . . . . square units
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<em>Alternate solution</em>
If you want to go at this the hard way, you can find the length of LK and the distance of J to that line.
The length of LK is ...
d = √((x2 -x1)^2 +(y2 -y1)^2) = √((4 -(-2))^2 +(3 -(-5))^2) = √(36 +64) = 10
The distance to line LK can be found by writing the equation of the line LK in general form:
4x -3y -7 = 0
Then the distance formula for point (x, y) is ...
d = |4x -3y -7|/√(4^2 +3^2)
d = |4(-2) -3(1) -7|/5 = |-8 -3 -7|/5 = 3.6
Using the area formula with these dimensions gives ...
A = 1/2bh = 1/2(10)(3.6) = 18 . . . . square units
