(dy/dx) has a very similar meaning to delta(y)/delta(x), that is, the ratio of change in Y to a correspondent change in a variable X. The neat thing though, is that for (dy/dx) this analysis is made for variations of X, that is, for delta(x)'s, that are arbitrarily close to 0 (but are NOT 0) and can, therefore, offer us a rate of change in Y in face of a change in X at ANY given point of analysis, instead of an average over a time period as is the case for delta(y)/delta(x).
Please see figure for answers
Answer: x^3 - 1 = (x - 1)(x^2 + x + 1)
Explanation:
This is a type of factorizing called the sum or difference of 2 cubes:
a^3 - b^3 = (a - b)(a^2 + ab + b^2)
The sum of the cubes is factored as:
a^3 + b^3 = (a + b)(a^2 - ab + b^2)
In this case, we have: x^3 - 1 so follow the rule above.
x^3 - 1 = (x - 1)(x^2 + x + 1)
Answer:
Step-by-step explanation:
Given that:
mean (μ) = 476 grams, standard deviation (σ) = 36 grams. P(z) = 19%
The z score shows by how many standard deviation the raw score is above or below the mean. It is given by the equation:
Since the 19% weigh more, therefore 81% (100% - 19%) weigh less.
From the normal distribution table, the z score that corresponds to a probability of 81%(0.81) = 0.87
We substitute z = 0.88 in the z score equation to find the raw score. Therefore:
x ≅ 507 grams
Therefore 19% of fruits weigh more than 507 grams
Answer:
A. divide only on the right side of the equation by 2.
Step-by-step explanation:
I took the test yesterday and I got it hope this helps.
