Answer:
#2
Step-by-step explanation:
all you need to know is the calculusperciputation
 
        
                    
             
        
        
        
Answer:
The two equations that can be used to find each of their ages are  and
 and  .
 .
Step-by-step explanation:
We are given that Mrs. Lang is 4 times as old as her daughter Jill. The sum of their ages is 60 years.
Let the age of Mrs. Lang be 'x years' and the age of her daughter Jill be 'y years'.
Now, according to the question;
- The <u>first condition</u> states that Mrs. Lang is 4 times as old as her daughter Jill, that means;
                                       ----------------- [equation 1]
   ----------------- [equation 1]
- The <u>second condition</u> states that the sum of their ages is 60 years, that means;
                                   
 
                                  {using equation 1}
     {using equation 1}
                                   
                                     
 
                                    y = 12 years
Now, putting the value of y in equation 1 we get;
                                 
 
                                 = 48 years
 = 48 years
Hence, the age of Mrs. Lang is 48 years and her daughter Jill is 12 years old.
 
        
             
        
        
        
 Answer:
There are 43200 minutes in a 30-day month.
Step-by-step explanation:
We know that:
60 minutes = 1 hour
24 hours = 1 day
Thus to determine the minutes in a 30-day month, let us first determine the number of hours in the month.
    30
x  24
_______
   120
  60
_______
  720 hours
The 30-day month has a total of 720 hours.
So that the number of minutes that make up 720 hours can be determined by;
     720
  x   60
_______
    000
4320
_______
43200
Therefore, there are 43200 minutes in a 30-day month.
 
        
             
        
        
        
Answer: 7
Step-by-step explanation:
We found the factors and prime factorization of 28 and 35. The biggest common factor number is the GCF number. So the greatest common factor 28 and 35 is 7.
 Hope this helps :)
 
        
                    
             
        
        
        
Answer: 0.14
Step-by-step explanation:
Given: Mean : 
In minutes , Mean : 
The exponential distribution function with parameter  is given by :-
  is given by :-
 
 
The probability of waiting more than 30 seconds i.e. 0.5 minutes is given by the exponential function :-
![P(X\geq0.5)=1-P(X\leq0.5)\\\\=1-\int^{0.5}_{0}4e^{-4t}dt\\\\=1-[-e^{-4t}]^{0.5}_{0}\\\\=1-(1-e^{-2})=1-0.86=0.14](https://tex.z-dn.net/?f=P%28X%5Cgeq0.5%29%3D1-P%28X%5Cleq0.5%29%5C%5C%5C%5C%3D1-%5Cint%5E%7B0.5%7D_%7B0%7D4e%5E%7B-4t%7Ddt%5C%5C%5C%5C%3D1-%5B-e%5E%7B-4t%7D%5D%5E%7B0.5%7D_%7B0%7D%5C%5C%5C%5C%3D1-%281-e%5E%7B-2%7D%29%3D1-0.86%3D0.14)
Hence, the probability of waiting more than 30 seconds = 0.14