According to the euclidean triangle theorem
9 = z² / 13
z² = 9 x 13 = 117
z = 3 √13
Kevin painted
of the wall.
Solution:
Fraction of the wall painted by Elena = 
Fraction of the wall painted by Matthew = 
Fraction of the wall painted by Kevin = ?
Full wall can be taken as 1.
<u>To find the wall painted by Kevin:</u>
Rest of the wall = Full wall – painted by Elena – Painted by Matthew


To make the denominator same, multiply the numerator and denominator of the first term by 9.



Rest of the wall = 
Hence the kevin painted
of the wall.
You just need to multiply 9 1/2 by 11 3/4. simplify these into decimals: 9.5 and 11.75
Then do 9.5*11.75=111.625
Answer:
The 99% confidence interval for the mean commute time of all commuters in Washington D.C. area is (22.35, 33.59).
Step-by-step explanation:
The (1 - <em>α</em>) % confidence interval for population mean (<em>μ</em>) is:

Here the population standard deviation (σ) is not provided. So the confidence interval would be computed using the <em>t</em>-distribution.
The (1 - <em>α</em>) % confidence interval for population mean (<em>μ</em>) using the <em>t</em>-distribution is:

Given:

*Use the <em>t</em>-table for the critical value.
Compute the 99% confidence interval as follows:

Thus, the 99% confidence interval for the mean commute time of all commuters in Washington D.C. area is (22.35, 33.59).
Answer:
10m/s
Step-by-step explanation:
The answer should be 10m/s. Hope it helps!