21.67% of the students prefer walking to school.
Hope this helps.
If it does, please mark brainliest.
Answer:
<em>The probability that 10 or more students will live in campus housing is approximately 0.111%</em>
Step-by-step explanation:
<u>Binomial distribution formula:</u>
<em>If the probability of success is
, then the probability of
successes out of
trials will be:
</em>
26% of college students live in campus housing. So here, 
A random sample of 15 college students is selected. So, 
Now, "10 or more students" means 10 or 11 or 12 or 13 or 14 or 15 students. That means, 
Thus, the probability that 10 or more students will live in campus housing will be........
![[^1^5C_{10}(0.26)^1^0(1-0.26)^5]+[^1^5C_{11}(0.26)^1^1(1-0.26)^4]+[^1^5C_{12}(0.26)^1^2(1-0.26)^3]+[^1^5C_{13}(0.26)^1^3(1-0.26)^2]+[^1^5C_{14}(0.26)^1^4(1-0.26)^1]+[^1^5C_{15}(0.26)^1^5(1-0.26)^0]\\ \\ = 0.00094...+0.00015...+0.00001...+ 0.0000014...+ 0.000000071...+0.0000000016...\\ \\ =0.00111002... =0.111002...\% \approx 0.111\%](https://tex.z-dn.net/?f=%5B%5E1%5E5C_%7B10%7D%280.26%29%5E1%5E0%281-0.26%29%5E5%5D%2B%5B%5E1%5E5C_%7B11%7D%280.26%29%5E1%5E1%281-0.26%29%5E4%5D%2B%5B%5E1%5E5C_%7B12%7D%280.26%29%5E1%5E2%281-0.26%29%5E3%5D%2B%5B%5E1%5E5C_%7B13%7D%280.26%29%5E1%5E3%281-0.26%29%5E2%5D%2B%5B%5E1%5E5C_%7B14%7D%280.26%29%5E1%5E4%281-0.26%29%5E1%5D%2B%5B%5E1%5E5C_%7B15%7D%280.26%29%5E1%5E5%281-0.26%29%5E0%5D%5C%5C%20%5C%5C%20%3D%200.00094...%2B0.00015...%2B0.00001...%2B%200.0000014...%2B%200.000000071...%2B0.0000000016...%5C%5C%20%5C%5C%20%3D0.00111002...%20%3D0.111002...%5C%25%20%5Capprox%200.111%5C%25)
Answer:
Bruce's function:

Felicia's function:

<em>Bruce's tiles cover more area</em>
Step-by-step explanation:
<u>Functions
</u>
We need to compare the area covered by tile of both Bruce and Felicia. We are required to find the function y, the area covered by the number of tiles he used, x.
We know the tiles used by Bruce cover 1/4 of a square foot, this is written as:

To find the function for Felicia, we must use the data provided in the table
For example,
For x=9 tiles, y=1 sq ft
For x=18 tiles, y=2 sq ft
If we set

We can find the value of k


Thus

Testing the constructed function with x=18 and x=27


The function is complete and accurate.
Comparing both functions we see that Bruce's tiles cover more area because

The formula for volume is v=lwh