Answer:
4
Step-by-step explanation:
ln e ^4
Natural log and e are opposites so they cancel and leave
4
Answer: (D) none of the these.
Step-by-step explanation:
- A multimodal distribution refers to a distribution with two or more modes.
If the shape of our data set is multimodal, the it will show two or more peaks which represents the number modes in the data.
Since it has no relation with mean or median of the data, there for the correct option will be "none of these".
If you call x the total value of the sales, the sale over 12,000 will be: g(x) = 12,000 - x.
And the commission is 4.1% of that = 0.041 * (12,000 - x) = 0.041 * g(x)
So, if f(x) = 0.041x, to calculate the commission you first have to calculate g(x) = 12,000 - x, and the f(g(x))=0.041[12,000 - x].
Which leads you to the solution for the commission as [f o g] (x) = f (g(x)) = 0.041 (12,000 - x).
Answer: [ f o g] (x)
Let x represent the number of type A table and y represent the number of type B tables.
Minimize: C = 265x + 100y
Subject to: x + y ≤ 40
25x + 13y ≥ 760
x ≥ 1, y ≥ 1
From, the graph the corner points are (20, 20), (39, 1), (30, 1)
For (20, 20): C = 265(20) + 100(20) = $7,300
For (39, 1): C = 265(39) + 100 = $10,435
For (30, 1): C = 265(30) + 100 = $8,050
Therefore, for minimum cost, 20 of type A and 20 of type B should be ordered.
The given system of equations is:
y = 4x − 3 ...(1)
2x + 7y = 41 ...(2)
Notice that the first equation is a solved equation for y. So, we can simply substitute 4x-3 for y in equation (2) to solve. This method is also knwon as substitution method by which we can plug in one equation into other equation.
So, if we will substitute y=4x-3 in equation (2) then we will get,
2x+7(4x-3)=41
Hence, third choice 2x + 7(4x − 3) = 41 is the correct answer.
