Answer:
f(n) = 6n + 12
Step-by-step explanation:
There is a common difference in consecutive number of seats, that is
42 - 36 = 36 - 30 = 30 - 24 = 24 - 18 = 6
This indicates the sequence is arithmetic with nth term
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 18 and d = 6 , then
f(n) = 18 + 6(n - 1) = 18 + 6n - 6 = 6n + 12
Answer:
Step-by-step explanation:
a = 3
b = 3
c = 1
Discriminate = sqrt(b^2 - 4ac)
Discriminate = sqrt(9 - 4*3*1)
Discriminate = sqrt(9 - 12)
Discriminate = sqrt(-3)
What negative value means that there are no real roots and the y intercept = 1. You should always graph this kind of question, which I am doing for you. I use Desmos which is a very handy program.
You should notice that the minimum is above the x axis. That means there are no real roots, just as the discriminate tells you.
The stronger the evidence is against the null hypothesis, the higher the divergence from it.
What do you mean by null hypothesis ?
A statistical hypothesis known as a null hypothesis asserts that no statistical significance can be found in a collection of provided observations. Using sample data, hypothesis testing is performed to judge a theory' veracity. It is sometimes referred to as just "the null," and its symbol is . To determine if a theory regarding markets, investing methods, or economies is correct or wrong, quantitative analysts employ the null hypothesis,
The null hypothesis states that the percentage of the population who works full time is 0.45.
As a result, 450 persons who are randomly selected from a population of 1000 work full-time.
A different hypothesis states that the ratio is higher than 0.45.
In the options provided, the proportion for the first option is 300/1000, or 0.3.
In the second choice, 500/1000 equals 0.5
Third alternative: 700/1000 = 0.7
Therefore, the stronger the evidence is against the null hypothesis, the higher the divergence from it.
To learn more about the null hypothesis from the given link.
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