Answer:
The answer is 1 and 4
Step-by-step explanation:
.25 x 4y = Y
36 divided by 4 = 9
Completed question:
An initial time study resulted in an average observed time of 2.2 minutes per cycle, and a standard deviation of .3 minutes per cycle. The performance rating was 1.20. What sample size, including the 20 observations in the initial study, would be necessary to have a confidence of 95.44 percent that the observed time was within 4 percent of the true value?
Answer:
47
Step-by-step explanation:
When doing a statistic study, a sample of the total amount must be taken. This sample must be done randomly, and, to be successful, the sample size (n) must be determined, by:
Where Z(α/2) is the value of the standard normal variable associated with the confidence, S is the standard deviation, and E is the precision. The confidence indicates if the study would have the same result if it would be done several times. For a confidence of 95.44, Z(α/2) = 2.
The standard deviation indicates how much of the products deviate from the ideal value, and the precision indicates how much the result can deviate from the ideal. So, if it may vary 4% of the true value (2.2), thus E = 0.04*2.2 = 0.088.
n = [(2*0.3)/0.088]²
n = 46.48
n = 47 observations.
The answer is 1.7 x 10 to the power of 9
hope this helps
Answer:
2/10
Step-by-step explanation:
smart 'v'
Answer:
x = i, mult 2; x = -i, mult 2
Step-by-step explanation:
First let's make a substitution to make this easier to factor.
Let u² = x⁴ and
u = x²
Now we can rewrite the polynomial as
u² +2u + 1 = 0
This factors easily into
(u + 1)(u + 1) = 0
By the Zero Product Property, either
u + 1 = 0 or u + 1 = 0
Putting back the x²:
x² + 1 = 0 or x² + 1 = 0
For the first one, even though they are the same:
x² = -1 so
x = ±√-1
Since that is not "allowed", we make the replacement of -1 = i²:
x = ±√i² so
x = ±i
For the second one, we need not repeat the whole process, but we find 2 more identical roots:
x = ±i
That means that the factors are
(x + i)(x - i)(x + i)(x - i) = 0
x = i, multiplicity 2 and
x = -i, multiplicity 2