Answer: -6x² + 15x + 5
Step-by-step explanation:
To solve this problem, you only need to substitute g(x)'s equation as the value of the x in f(x), then simplify.
Step 1: f(x) = -3(2x² - 5x - 1) + 2
Step 2: Apply the distributive property
-3(2x²) + -3(-5x) + -3(-1)
-6x² + 15x + 3
Step 3: Simplify
f(x) = -6x² + 15x + 3 + 2
f(x) = -6x² + 15x + 5
A, C and D are all irrelevant to the question.
The answer is B) The marginal distribution of political party.
Hope this helps!
Answer:
€113.87
Step-by-step explanation:
Amount = £85.40 * €4/£3 = €113.87.
Answer:
0.3844 = 38.44% probability that two independently surveyed voters would both be Democrats
Step-by-step explanation:
For each voter, there are only two possible outcomes. Either the voter is a Democrat, or he is not. The probability of the voter being a Democrat is independent of other voters. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
62% of the voters are Democrats
This means that
(a) What is the probability that two independently surveyed voters would both be Democrats?
This is P(X = 2) when n = 2. So
0.3844 = 38.44% probability that two independently surveyed voters would both be Democrats