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?
Answers
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.
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3y x 3y
Or
9y
What is (3y) times (3y)?
5
4
129
6
7
Answers
Answer:
Step-by-step explanation:
Expression : 9x - 5
To fill the table using the expression, you have to replace each value with x and solve the expression.
The answer is attached to the picture.
Answer:
Step-by-step explanation:
To fill the table using the expression
you have to replace each value with x and solve the expression
Answers
Answer:
1190
Step-by-step explanation:
Here, you need to add the squares of the measurements.
20² + 10² + 13² + 11² + 20² =
= 400 + 100 + 169 + 121 + 400
= 1190
Answers
Answer:
1. Y
2. N
3. N
4. N
Step-by-step explanation:
Let's use the second equation, since it seems to be easier to use.
To check if an ordered pair is a solution, plug it in to the equation.
1. --> Y
2. --> N
3. --> N
4. --> N
Edit : The 4th equation doesn't work for the first equation, whereas the first one still does.
Answer:
(-2,-6)
Step-by-step explanation:
-9x +2y = 6
5x - 3y = 8
1) Make one of the coefficients the same - y.
-9x +2y = 6 * 3
5x - 3y = 8 * 3
-27x +6y = 18
10x - 6y = 16
2) Add the new equations.
(-27x +6y = 18) + (10x - 6y = 16)
(-27x +6y) + (10x - 6y) = 18 + 16
-17x = 34
3) Divide to find the value of x
-17x = 34
x = 34/-17
x = -2
4) Substitute x into either equation to find the value of y.
-9(-2) +2y = 6
18 +2y = 6
2y = -12
y = -12/2
y = -6
5(-2) - 3y = 8
-10 - 3y = 8
-3y = 18
y = 18/-3
y = -6
Your answer is (-2,-6).
Answers
Answers
Answer:
Step-by-step explanation:
I. If discriminant >0 then the quadratic equation has the roots x1 and x2 and
a) x1 and x2 are real numbers
b) x1≠x2
II. If discriminant =0 , then x1=x2 and is a real number
III. If discriminant < 0 the equation has complex roots , x1=a+bi ,
x2=a-bi , where i=V-1
Answer: B. There are 2 real roots.
Step-by-step explanation:
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