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%.
By rewriting the weights in decimal form and applying them to the correspondent percentages, we will see that the final grade is 92.8%.
<h3>
What is Jore's final math grade?</h3>
The final grade will be given by:
G = a₁*x₁ + a₂*x₂ + ...
Where the values "a" are the weights, and the values "x" are the averages of Jeorge.
We know that the weights are:
- 30% on Quizzes.
- 10% on homework
- 40% on unit test.
- 20% on the final exam.
Then we can write the weights in decimal form:
a₁ = 0.3
a₂ = 0.1
a₃ = 0.4
a₄ = 0.2
And the scores are:
- 92% on quizzes.
- 98% on homework
- 91% on unit tests
- 95% on final exam.
So the final math grade will be:
G = 0.3*92 + 0.1*98 + 0.4*91 + 0.2*95 = 92.8%
If you want to learn more about percentages, you can read:
brainly.com/question/843074
Answer:
y = 3x
Step-by-step explanation:
(1,3) (2,6)
The first step is to find the rate of change ( or slope)
m = (y2-y1)/(x2-x1)
m = (6-3)/(2-1)
m = 3/1
m = 3
Then we need to use the point slope form of the equation of a line
y-y1 = m(x-x1)
y-3 = 3(x-1)
Distribute the 3
y-3 = 3x-3
Add 3 to each side
y-3+3 = 3x-3+3
y = 3x
Answer:
Step-by-step explanation:
1 ring has a radius of 3 feet
1 ring has a circumfrence of 2*pi*r = 2 * 3.14 * 5 = 10*Pi
5 rings would have a length of 50 * pi length = 50*3.14 = 157 feet
That's a lot of Brillo pads.
Answer:
a
Step-by-step explanation:
