The length of a rectangle is
2 answers:
Answer:
The width is 8 meters and the length is 3(8)-2=22 meters. Hope this helps (owo)/ brainlist please.
Step-by-step explanation:
Let x= the width
then 3x-2= length (because the length is 2 meters less than 3 times the width)
P=2l+2w
60=2(lenght)+2(width)
60=2(3x-2)+2x
60=6x-4+2x Distribute
60=8x-4 Combine like terms
64=8x Divide both sides by 8
8=x
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Answer:
The 99% confidence interval for the mean diameter of pieces from this machine is between 0.93 and 1.07.
Step-by-step explanation:
Sample mean:
Sum of all values divided by the number of values. So
Sample standard deviation:
Square root of the sum of the differences between each value and the mean, divided by the 1 less than the sample size. So
Confidence interval:
We have the standard deviation for the sample, which means that the t-distribution is used 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 = 9 - 1 = 8
99% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 8 degrees of freedom(y-axis) and a confidence level of . So we have T = 3.355
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 1 - 0.07 = 0.93
The upper end of the interval is the sample mean added to M. So it is 1 + 0.07 = 1.07
The 99% confidence interval for the mean diameter of pieces from this machine is between 0.93 and 1.07.