Option B is the answer
Step-by-step explanation:
Assuming it is a geometric series
A geometric series will converge if -1< r < 1 written as |r| < 1 .That is if the common ratio is between -1 and 1 like 1/2...For example : 1/2 + 1/4 + 1/8 + ...
if the common ratio, r is greater than 1 or less than -1, the terms of the series become larger and larger in magnitude. The sum of the terms also gets larger and larger, and the series has no sum. The series diverges. For example : 4+ 40+ 400+ 4000 +... The common ration here is 10 and the series diverges. That implies that option C and D are out
For example :
If is r is equal to 1 , that is |r|=1 , all of the terms of the series are the same. For example , 2+2+2+2+... The series diverges.
And the first term doesn't affect the convergence of the series..that implies that option A is out
A series converges if and only if the absolute value of the common ratio is less than one: |r|<1
Answer:
12 oranges
Step-by-step explanation:
Judi : Amazing
2 : 3
Total oranges shared = 20
- 5 units = 20
1 unit = 20 ÷ 5 = 4 oranges
Therefore,
Number of oranges Amazing have = 4 × 3 = 12 oranges
<h2>
Hello!</h2>
The answer is:
The range of the given function, f(c) is
<h2>
Why?</h2>
To solve the problem we need to remember that a function is a relationship between an input usually called "x" (domain) and an output, usually called "y" and it's also the range of the function.
We are given a relationship (a function) between the ferryboat trips "c" and the number of cars transported per day.
Also, we know that there are not more than 5000 cars transported by the ferryboat, so, let's make this value our input, in order to find the output (range) of the given function.
So, if
Evaluating, we have:
Hence, the range of the function knowing that there are not more than 5000 cars transported by the ferryboat (daily) the range is all the numbers that are less or equal to 250.
Have a nice day!
Answer:
Step-by-step explanation:
Answer:
Fail to reject H₀
Step-by-step explanation:
To reject the null hypothesis, the P-value must be less than 0.05.
Since the P-value is 0.15 which is greater than 0.05, we would fail to reject the null hypothesis as there is no sufficient evidence against the null hypothesis.
Thus, the conclusion would be to fail to reject H₀.
