Step-by-step explanation:
In the recursive formula an = an−1 + 5
Suppose if a_5 is the nth term then previous term is a_4
To get the previous term we need to subtract 1 from the n
So a_n is the nth term
is the previous term
Here 5 represents the common difference between two terms
So value of previous term is represented by
Answer :
Answer:
0.3 galloons of water.
Step-by-step explanation:
We know that 1/5 galloons of water fills 2/3 of the bin.
So, we can write the following fraction:
We want to find how many galloons will fill the entire bin or 1 whole bin. So, we can write the following proportion:
To find our answer, we need to solve for x.
So, let's cross-multiply. This yields:
Multiply both sides by 3:
The left side simplifies. Multiply on the right:
Now, multiply both sides by 1/2:
Simplify the left. Multiply on the right:
So, 3/10 of 0.3 of a gallon of water will fill the entire bin.
And we're done!
Answer:
B. Yes, because P(X ≥ 68) ≤ .05
Step-by-step explanation:
The probability of a score X occuring is said to be unusually high if the probability of a score of X or larger is lower than 5%.
For each student, there are only two possible outcomes. Either they think that the court shows too much concern for criminals, or they do not think this. So we use the binomial probability distribution to solve this problem.
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.
In this problem we have that:
Three out of four students said that courts show too much concern for criminals. This means that
Would 68 be considered an unusually high number of students who feel that courts are partial to criminals?
We have to find .
So
is lower than 0.05, so this is an unusually high number.
So the correct answer is:
B. Yes, because P(X ≥ 68) ≤ .05