Answer:
m+7
Step-by-step explanation:
If she ran 7 minutes longer and m represents the amount of time she ran, then it would just be addition.
Let's say m=60 minutes. She would've ran for 67 minutes, which is also m+7.
solution:
Consider the curve: r(t) = t²i +(int)j + 1/t k
X= t² , y = int ,z = 1/t
Using, x = t², z = 1/t
X = (1/z)²
Xz²= 1
Using y = int, z= 1/t
Y = in│1/z│
Using x = t², y = int
Y = int
= in(√x)
Hence , the required surface are,
Xz² = 1
Y = in│1/z│
Y= in(√x)
The Answer is: 64 degrees
Answer:
Step-by-step explanation:
Hello!
X: number of absences per tutorial per student over the past 5 years(percentage)
X≈N(μ;σ²)
You have to construct a 90% to estimate the population mean of the percentage of absences per tutorial of the students over the past 5 years.
The formula for the CI is:
X[bar] ±
* 
⇒ The population standard deviation is unknown and since the distribution is approximate, I'll use the estimation of the standard deviation in place of the population parameter.
Number of Absences 13.9 16.4 12.3 13.2 8.4 4.4 10.3 8.8 4.8 10.9 15.9 9.7 4.5 11.5 5.7 10.8 9.7 8.2 10.3 12.2 10.6 16.2 15.2 1.7 11.7 11.9 10.0 12.4
X[bar]= 10.41
S= 3.71

[10.41±1.645*
]
[9.26; 11.56]
Using a confidence level of 90% you'd expect that the interval [9.26; 11.56]% contains the value of the population mean of the percentage of absences per tutorial of the students over the past 5 years.
I hope this helps!
Answer:
a

b

c

Step-by-step explanation:
From the question we are told that
The average number of passengers that arrive per minute is 
The average number of check that can be carried out in one minute is 
Generally the probability that a passenger will have to wait before being checked for weapons is mathematically represented as

=> 
=> 
Generally the number of passengers are waiting in line to enter the checkpoint is mathematically represented as

=> 
=> 
Generally the average time a passenger spend at the checkpoint is mathematically represented as

=> 
=> 