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:
$40,068
Step-by-step explanation:
37,800 x 0.06 = 2,268
37,800 + 2,268 = 40,068
Answer:
No Solution
Step-by-step explanation:
If two lines have the same slope and different y-intercepts, that means there is no solution. If the y-intercept and the slope are the same, it will have infinite solutions... So because these have the same slope, but different y-intercepts, they won't have any solution.
Answer:
length, width, and height are (b+2), (b-2), (b+3)
Step-by-step explanation:
Doing what the problem statement tells you to do, you get ...
(b^3 +3b^2) -(4b +12)
= b^2(b +3) -4(b +3) . . . factor each pair of terms
= (b^2 -4)(b +3) . . . write as a product
= (b -2)(b +2)(b +3) . . . use the factoring of the difference of squares
The three factors are (b-2) , (b+2) , and (b+3). We have no clue as to how to associate those with length, width, and height. We just know these are the dimensions of the box.
It is given that the circumference of the circle is 19.5 inches. Let the diameter is d inches .
And the formula of circumference is
Substituting the value of C, we will get
When the diameter increased by 3, then the circumference is
And the circumference , when diameter is increased by 3 is 29 inches .
