Answer:
Y=2x+0.5
Step-by-step explanation:
The gradient is 2/1=2x
The y-intercept looks to be around 0.5
Answer:
12 and 36
Step-by-step explanation:
x+3x=48
4x=48
divide by 4
x=12
48-12=36
Answer:
Theoretical probabilities are the long-run relative frequencies based on an experiment.
Step-by-step explanation:
Relative frequency or experimental probability is calculated from the number of times an event happens, divided by the total number of trials in an actual experiment.
With theoretical probability, you don't experiment. Instead, you use what you know about the situation to determine the probability of an event occurring.
Experimental probability approaches theoretical probability when the number of trials is extremely large.
Therefore, theoretical probabilities are the long-run relative frequencies based on an experiment.
Answer:
I can't really see the question
Step-by-step explanation:
Answer:
0 ≤ an ≤ bn
The series ∑₁°° bn converges
The series ∑₁°° an converges by comparison to ∑₁°° bn.
0 ≤ an ≤ bn
The series ∑₁°° bn diverges
The comparison test is inconclusive for our choice of bn.
Step-by-step explanation:
an = 1 / (n² + n + 3) and bn = 1 / n²
The numerators are the same, and the denominator of an is greater than the denominator of bn. So 0 ≤ an ≤ bn.
bn is a p series with p > 1, so it converges.
Since the larger function converges, the smaller function also converges.
an = (3n − 1) / (6n² + 2n + 1) and bn = 1 / (2n)
If we rewrite bn as bn = (3n − 1) / (6n² − 2n), we can tell that when the numerators are equal, the denominator of an is greater than the denominator of bn. So 0 ≤ an ≤ bn.
bn is a p series with p = 1, so it diverges.
The larger function diverges. We cannot conclude whether the smaller function converges or diverges.
