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.
Peter reflecting trapezoid ABCD across the y-axis would not change the degree measurement of angle A
The degree measurement of angle A is 115 degrees
<h3>How to determine the degree measurement of angle A?</h3>
From the question, we have:
A = 115 degrees
B = 65 degrees
The transformation is a reflection across the y-axis
Reflection is a rigid transformation; and it does not change the angle measure or side lengths.
After the transformation; we have:
A = 115 degrees
B = 65 degrees
Hence, the degree measurement of angle A is 115 degrees
Read more about transformation at:
brainly.com/question/4289712
Answer:9
Step-by-step explanation: Problem. Evaluate the expression log2
1
8 without using a calculator.
Solution. We know that 1
8 = 2−3
. Therefore, log2
1
8 = −3.
Problem 6
Problem. Write the exponential equations as logarithmic equations.
(a) 272/3 = 9.
(b) 163/4 = 8.
Solution. (a) The base is 27 and the exponent (logarithm) is 2/3. So the logarithmic
equation is
log27 9 =
2
3
.
(b) The base is 16 and the exponent (logarithm) is 3/4. So the logarithmic equation
is
log16 8 =
3
4
.
Problem 9
Problem. Sketch the graph of the function y = 2x by hand
<span>As the given parent function is
f(x) = x^2
then updated one would be with teh k
f(x) = a(x-h)^2 + k
K allows us to shifts up the value
so
k=7 would shifts the graphs up 7 units.</span>
Answer:
angle c is 13 as it said in the question
Step-by-step explanation: