The pathway is 8.46 yards.
<h3>How to find the length of the pathway?</h3>
To find the length of the pathway, it is required to find how long is the diagonal line from one corner of the herb garden to the opposite corner. As shown in the image attached.
The general formula for this is:
- d = a√2 or diagonal = side√2
Let's apply this formula:
- d= 6 √2
- d= 6 x 1.41
- d= 8.46 yards
Learn more about yards in: brainly.com/question/14516546
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:
-37
Step-by-step explanation:
Simplifying
74 + 2x = 0
Solving
74 + 2x = 0
Move all terms containing x to the left, all other terms to the right.
Add '-74' to each side of the equation.
74 + -74 + 2x = 0 + -74
Combine like terms: 74 + -74 = 0
0 + 2x = 0 + -74
2x = 0 + -74
Combine like terms: 0 + -74 = -74
2x = -74
Divide each side by '2'.
x = -37
Simplifying
x = -37
