Which equation represents this number sentence? The quotient of 7 and a number is 10 less than 3 times the number.
1 answer:
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The missing figure is attached down
Answer:
Container A is filling more quickly
Step-by-step explanation:
<em>Let us explain the linear relation</em>
The linear equation is y = m x + b, where
- m is the slope of the line which represents the rate of change (change in y/change in x)
- b is the y-intercept which means the initial amount of y (at x = 0)
<em>If a line represents the amount of water over time, then it represents the rate of filling of the water</em>
∵ There are two containers A and B that have the same size
∵ The two lines represent the amount of water over time in
containers A and B
∴ The slopes of the lines represent the rat of water in the tanks
→ That means the greater slope represents the greater rate
∵ The greater the slope, the steeper the line
∴ The container that represented by the steeper the line is filling quickly
→ The line represents container A is steeper more than the line
represents container B
∴ Container A is filling more quickly
Answer:
We have been given a unit circle which is cut at k different points to produce k different arcs. Now we can see firstly that the sum of lengths of all k arks is equal to the circumference:
Now consider the largest arc to have length \small l . And we represent all the other arcs to be some constant times this length.
we get :
where C(i) is a constant coefficient obviously between 0 and 1.
All that I want to say by using this step is that after we choose the largest length (or any length for that matter) the other fractions appear according to the above summation constraint. [This step may even be avoided depending on how much precaution you wanna take when deriving a relation.]
So since there is no bias, and \small l may come out to be any value from [0 , 2π] with equal probability, the expected value is then defined as just the average value of all the samples.
We already know the sum so it is easy to compute the average :