Here's the info for f(x): We are going to find the slope of the line and then write the equation for the line using one of the given points. The coordinate points we are given are (0, 0) and (2, 4). Using the slope formula:
gives us a slope equation of:
and the slope is 2. Using the point (0, 0) to write the equation of the line for f(x) looks like this in the slope-intercept form of the equation:
where m is the sloppe of 2 that we found and
and
are the coordinates of one of the points. It doesn't matter which one you choose; you will get the same answer whether you use (0, 0) or (2, 4): y-0=2(x-0) Distributing that 2 into the parenthesis and simplifying gives you the equation of y = 2x, or in our function notation, f(x) = 2x. Since f(x) is the first part of g(x), so far for g(x) we have that g(x) = 2x + k. Now we will do the same thing for g(x) that we did for f(x) as far as writing its equation down; we don't need to find the slope cuz the slope of g(x) is the function f(x). The equation for g(x), using the point (0, 2) (again, you could have used either point; I just picked (0, 2) cuz the other one has a decimal in it!): y - 2 = 2(x - 0). Distributing that 2 into the parenthesis gives you this: y - 2 = 2x - 0; y = 2x + 2. So 2 is your k value!
Answer:
The probability that no more than '2' customers will arrive in minute = 1.5412
Step-by-step explanation:
Explanation:-
Mean of the Poisson distribution 'λ' = 2 per minute
P(X=x) = e⁻ˣ λˣ/x!
The probability that no more than '2' customers will arrive in minute
P(x≤ 2) = P(x=0) +P(x=1)+P(x=2)
= e⁻² (2)°/0! + e⁻²(2)¹/1!+e⁻² (2)²/2!
= 1 + 0.2706 + 0.2706
= 1.5412
The probability that no more than '2' customers will arrive in minute = 1.5412
The five-number summary of the box plot consists of the following values:
1) minimum
2) 1st quartile
3) median
4) 3rd quartile
5) maximum
The data between the first and third quartiles is: <span>b. 50% of the data is between the first and third quartiles </span>
20% of her paycheck goes to rent. 4850 x .20 is equal to 970
For solve equation by <span>graphing, it need to come equation at the form, that it's simple to build a graph for left part of equation, and another graph for right part. The intersection of thats two graphs is the solution.
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