Answer:
B
Step-by-step explanation:
(happy to help)
Using linear functions, it is found that the two planes will be at the same altitude in 7 minutes.
<h3>What is a linear function?
</h3>
A linear function is modeled by:
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0.
For the first plane:
- Initial altitude of 1000 meters, hence
.
- Ascending t a rate of 400 meters per minute, hence
.
Hence, the equation is:
![y_1(x) = 400x + 1000](https://tex.z-dn.net/?f=y_1%28x%29%20%3D%20400x%20%2B%201000)
For the second plane:
- Initial altitude of 5900 meters, hence
.
- Descending t a rate of 300 meters per minute, hence
.
Hence, the equation is:
![y_2(x) = -300x + 5900](https://tex.z-dn.net/?f=y_2%28x%29%20%3D%20-300x%20%2B%205900)
They will be at the same altitude at the value of x for which:
![y_1(x) = y_2(x)](https://tex.z-dn.net/?f=y_1%28x%29%20%3D%20y_2%28x%29)
Hence:
![400x + 1000 = -300x + 5900](https://tex.z-dn.net/?f=400x%20%2B%201000%20%3D%20-300x%20%2B%205900)
![700x = 4900](https://tex.z-dn.net/?f=700x%20%3D%204900)
![x = \frac{4900}{700}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B4900%7D%7B700%7D)
![x = 7](https://tex.z-dn.net/?f=x%20%3D%207)
The two planes will be at the same altitude in 7 minutes.
To learn more about linear functions, you can take a look at brainly.com/question/25823744
10 men can survive for 24 days with 15 cans of ration
so , 1 man can survive for 1 day with 15/(10*24) cans of ration
so, 8 men can survive for 36 days with (15*8*36)/240 = 18 cans of raion
Answer:
Below is the R code for the bootstrapping in exponential distribution. The result is attached below.
####################################
rm(list=ls(all=TRUE))
set.seed(12345)
N=c(10,100,500)
Rate=0.2
B=1000
MN=SE=rep()
for(i in 1:length(N))
{
n=N[i]
X=rexp(n,rate=Rate)
EST=1/mean(X)
ESTh=rep()
for(j in 1:B)
{
Xh=rexp(n,rate=EST)
ESTh[j]=1/mean(Xh)
}
MN[i]=mean(ESTh)
SE[i]=sd(ESTh)
}
cbind(N,Rate,MN,SE)
Step-by-step explanation:
█ Explanation <span>█
Solve for n.
</span>✦
![n+ \frac{1}{2} = \frac{7}{4}](https://tex.z-dn.net/?f=n%2B%20%5Cfrac%7B1%7D%7B2%7D%20%3D%20%5Cfrac%7B7%7D%7B4%7D%20)
✦ Subtract
![\frac{1}{2}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B2%7D%20)
from both sides.
✦
![n+ \frac{1}{2} - \frac{1}{2} = \frac{7}{4} - \frac{1}{2}](https://tex.z-dn.net/?f=n%2B%20%5Cfrac%7B1%7D%7B2%7D%20-%20%5Cfrac%7B1%7D%7B2%7D%20%3D%20%5Cfrac%7B7%7D%7B4%7D%20-%20%5Cfrac%7B1%7D%7B2%7D%20)
✦
Answer: ![\frac{5}{4}](https://tex.z-dn.net/?f=%20%5Cfrac%7B5%7D%7B4%7D%20)
<span>Hope that helps! ★ If you have further questions about this question or need more help, feel free to comment below or leave me a PM. -UnicornFudge aka Nadia </span>