I was wondering why my previous post was deleted (I attached the same picture below).
I spent a long time drawing and labeling a diagram as well as writing out a detailed formulaic explanation.
Answer:
The mean is 77.8125
Step-by-step explanation:
The mean is the average of the numbers. It is very easy to calculate and get. All you have to do is add up all the numbers and divide it by how many numbers there are.
80 + 90 + 81 + 86 + 100 + 77 + 75 + 96 + 65 + 87 + 58 + 80 + 36 + 73 + 70 + 91 = 1245
Answer:
Check the explanation
Step-by-step explanation:
(a)Let p be the smallest prime divisor of (n!)^2+1 if p<=n then p|n! Hence p can not divide (n!)^2+1. Hence p>n
(b) (n!)^2=-1 mod p now by format theorem (n!)^(p-1)= 1 mod p ( as p doesn't divide (n!)^2)
Hence (-1)^(p-1)/2= 1 mod p hence [ as p-1/2 is an integer] and hence( p-1)/2 is even number hence p is of the form 4k+1
(C) now let p be the largest prime of the form 4k+1 consider x= (p!)^2+1 . Let q be the smallest prime dividing x . By the previous exercises q> p and q is also of the form 4k+1 hence contradiction. Hence P_1 is infinite
60 children tickets and 190 adult tickets were sold.
Step-by-step explanation:
Let the no. of adult tickets sold be 'a'
Let the no. of children tickets sold be 'c'
Total tickets sold = 250
Cost of 1 children ticket = $2.5
Cost of 1 adult ticket = $4
Total money collected= $910
Given that,
a + c = 250
a = 250 - c
4a + 2.5c = 910
Substitute a value
4(250 - c) + 2.5c = 910
1000 - 4c + 2.5c = 910
1000 - 1.5c = 910
-1. 5c = -90
1.5c = 90
c = 90/1.5
c = 60
a + c = 250
a + 60 = 250
a = 190
Answer:
<em>The car will worth $15815 after 5 years.</em>
Step-by-step explanation:
The formula is: 
, where P = Initial cost, A = Final cost, r = Rate of change in cost per year and t = Number of years.
Here, 
and 
As here the <u>value of the car depreciates every year, so we need to plug the value of 
as negative</u>. So, 
Now plugging the above values into the formula, we will get.....
<em>(Rounded to the nearest dollar)</em>
So, the car will worth $15815 after 5 years.
