A scooter tracked 30 feet in 2 seconds at a constant speed what is the speed of the scooter in feet per second
1 answer:
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1) Mean: 6.5
2) Standard deviation: 3.2
Step-by-step explanation:
1)
A uniform random distribution is the distribution of a variable that can assume n different values, and each of these values is equally likely to occur.
This means that the probability of occurring of each of these values is the same:
For a uniform random distribution, the mean of the distribution is simply equal to the median value of the distribution, which is exactly at the center of the distribution itself. It can be calculated as
where
a is the lowest value of the distribution
b is the highest value of the distribution
Here the distribution consists of all values ranging from 1 to 12, so:
a = 1
b = 12
Therefore the mean value is
2)
For a uniform random distribution, it can be dimostrated that the variance of the distribution is
For the distribution in this problem, we have:
a = 1
b = 12
Therefore the variance is
The standard deviation is the square root of the variance, therefore for this distribution it is:
Learn more about mean and standard deviation:
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The y-coordinate of c is -4 if the Point c partitions line segment AB in the ratio of 1:3.
<h3>What is a straight line?</h3>A straight line is a combination of endless points joined on both sides of the point.
We have two points:
A(-4, -7), and B(12, 5)
Let's assume A(x1, y1) and B(x2, y2)
The ratio is 1:3 = m:n
Let's assume the y-coordinate is a
From the section formula:
a = -4
Thus, the y-coordinate of c is -4 if the Point c partitions line segment AB in the ratio of 1:3.
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