Answer:
The 95% confidence interval for the true average strain is between 23.94% and 28.06%.
Step-by-step explanation:
We have the standard deviation of the sample, so we use the t-distribution to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 13 - 1 = 12
95% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 12 degrees of freedom(y-axis) and a confidence level of
. So we have T = 2.18
The margin of error is:

In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 26 - 2.06 = 23.94
The upper end of the interval is the sample mean added to M. So it is 26 + 2.06 = 28.06
The 95% confidence interval for the true average strain is between 23.94% and 28.06%.
Answer:
42°
Step-by-step explanation:
all triangles have 180 degrees, you are given 48. the symbol above 48 tells you it is 90 degrees. ther fore you can use 180- 90 - 48= 42
Answer:
x > -17/2
Step-by-step explanation:
Step 1: Write inequality
-2x - 5 < 12
Step 2: Solve for <em>x</em>
<u>Add 5 to both sides:</u> -2x < 17
<u>Divide both sides by -2:</u> x > -17/2
Here, we can see that any number greater than -17/2 would work, so x could equal 01234718905731857013570 if we wanted it to, as long as it is greater than -8.5.
Answer:Specific, technological knowledge can be patented. The inventor thus obtains much of the
benefit of his invention. Our government also subsidizes basic research in many different fields.
Step-by-step explanation:Patent law is the branch of intellectual property law which specifically caters to new inventions.
Patents protect valuable scientific inventions but it has evolved in a way that it now also protects business practices , coding algorithm and other crucial inventions.
Did you mean :
f(x) = x² - 2x, find x = -3
f(-3) = (-3)² - 2(-3)
f(-3) = 9 + 6
f(-3) = 15