The sequence is arithmetic because the terms have a common difference.
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All the possible values of b will be ±22 and ±10. Thus, there are 4 possibilities such that x2 + bx + 21 factors.
We have been the equation as
x2 + bx + 21
Now all the possible factors of 21 are ±1, ±3, ±7 and ±21
We can write the linear factors as (x+)(x+) or (x-)(x-) as the coefficient of x2 is 1 .
The possible linear factors are :
(x + 1)(x + 21) = x2 + 22x + 21
(x + 3)(x + 7) = x2 + 10x +21
(x – 1)(x – 21) = x2 – 22x + 20
(x – 3)(x – 7) = x2 – 10x + 20
Hence all the possible values of b will be ±22 and ±10. There are 4 possibilities.
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Answer:
0.0043 is the probability that the sample of 20 bottles have a mean below 19.90 fl oz.
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 20 fl oz
Standard Deviation, σ = 0.17 fl oz
We are given that the distribution of amount of soft drink poured is a bell shaped distribution that is a normal distribution.
Sample size, n = 20
Formula:
a) P(Sample of 20 bottles have a mean below 19.90 fl oz)
P(x < 19.90)
Calculation the value from standard normal z table, we have,
0.0043 is the probability that the sample of 20 bottles have a mean below 19.90 fl oz.
Answer:
31.6
Step-by-step explanation:
26+18=44
90-44
The initial investment = $250
<span>annual simple interest rate of 3% = 0.03
</span>
Let the number of years = n
the annual increase = 0.03 * 250
At the beginning of year 1 ⇒ n = 1 ⇒⇒⇒ A(1) = 250 + 0 * 250 * 0.03 = 250
At the beginning of year 2 ⇒ n = 2 ⇒⇒⇒ A(2) = 250 + 1 * 250 * 0.03
At the beginning of year 3 ⇒ n = 3 ⇒⇒⇒ A(2) = 250 + 2 * 250 * 0.03
and so on .......
∴ <span>The formula that can be used to find the account’s balance at the beginning of year n is:
</span>
A(n) = 250 + (n-1)(0.03 • 250)
<span>At the beginning of year 14 ⇒ n = 14 ⇒ substitute with n at A(n)</span>
∴ A(14) = 250 + (14-1)(0.03*250) = 347.5
So, the correct option is <span>D.A(n) = 250 + (n – 1)(0.03 • 250); $347.50
</span>