Graph a line that contains (-6,1) and has the slope of 5
1 answer:
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Answer:
The rule for given sequence is: a_n = -27+16n
And the 100th term is: 1573
Step-by-step explanation:
Given sequence is:
-11, 5, 21, 37, 53, ...
Here
First of all, we have to find if this is an arithmetic sequence
For that purpose, the common difference has to be found. Common difference, denoted by d, is the difference between consecutive terms of an arithmetic sequence
So,
As the common difference is same, the sequence is an arithmetic sequence
General rule for arithmetic sequence is:
Putting values
For 100th term,
Putting n=100
Hence,
The rule for given sequence is: a_n = -27+16n
And the 100th term is: 1573
Answer:
0.7493 or 74.93%
Step-by-step explanation:
We are given;
Population mean; μ = 100
Population standard deviation; σ = 12
Sample mean 1; x1¯ = 90
Sample mean 2; x2¯ = 120
Z-score formula of the data given is;
z = (x¯ - μ)/σ
z1 = (90 - 100)/12
z1 = -0.83
z2 = (120 - 100)/12
z2 = 1.67
Since we wan to Find the probability that a randomly selected bill is between $90 to $120.
Thus;
P(90 < x¯ < 120) = P(−0.83 < Z < 1.67)
Probability will be gotten from online probability with 2 z-scores calculator to get;
P = 0.7493
