The recursive formula of the geometric sequence is given by option D; an = (1) × (5)^(n - 1) for n ≥ 1
<h3>How to determine recursive formula of a geometric sequence?</h3>
Given: 1, 5, 25, 125, 625, ...
= 5
an = a × r^(n - 1)
= 1 × 5^(n - 1)
an = (1) × (5)^(n - 1) for n ≥ 1
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Answer:
Step-by-step explanation:
x is the cherries eaten
Answer:
9.34%
Step-by-step explanation:
p = 4%, or 0.04
n = Sample size = 667
u = Expected value = n * p = 667 * 0.04 = 26.68
SD = Standard deviation = 
= 5.06
Now, the question is if the manager is correct, what is the probability that the proportion of flops in a sample of 667 released films would be greater than 5%?
This statement implies that the p-vlaue of Z when X = 5% * 667 = 33.35
Since,
Z = (X - u) / SD
We have;
Z = (33.35 - 26.68) / 5.06
Z = 1.32
From the Z-table, the p-value of 1.32 is 0.9066
1 - 0.9066 = 0.0934, or 9.34%
Therefore, the probability that the proportion of flops in a sample of 667 released films would be greater than 5% is 9.34%.
Answer:
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The amount of interest is $252. The equations or represent the relation relationship between p, (r), (t) and (i).
Step-by-step explanation:
The formula of simple interest is
Where, principal amount (p), rate of interest (r), period of investment in years (t), and interest earned (i).
The principal amount is $1,400, interest rate of 6% and the time period of 3 years.
The amount of interest is
Therefore the amount of interest is $252.
The equations or represent the relation relationship between p, (r), (t) and (i).
