Answer:
+ 1) is an even number.
Take any n ∈ N, then n is either even or odd.
• Suppose n is even ⇒ n = 2m for some m ⇒ n(n + 1) = 2m(n + 1) ⇒ n(n + 1) is even.
• Suppose n is odd ⇒ n+ 1 is even ⇒ n+ 1 = 2m for some m ⇒ n(n+ 1) = 2nm ⇒ n(n+ 1)
is even. QED
2. The sum of the first n natural num
Step-by-step explanation:
a>50A is greater than 50
a<50a<50
a≥50A is greater than or equal to 50
a≤50
Answer:
1040
Step-by-step explanation:
Circumference of the Circle: 439.82
Add that to the length of the rectangle time two: 439.82+(300x2)
That will give you the perimeter around the entire track:
439.82+(300x2)
439.82+600
1039.82
Rounded that is: 1040
<em>Hope this Helps :)</em>
Answer:
x=2
Step-by-step explanation:
x+2=4
x=2
This would not be binomial; the probabilities are not independent, since the balls are drawn without replacement.
Answer:
The number of gift wrap rolls for solid colors sold was 270 and the number of gift wrap rolls for sprint patterns sold was 210
Step-by-step explanation:
Let
x ---> the number of gift wrap rolls for solid colors sold
y ---> the number of gift wrap rolls for sprint patterns sold
we know that
---->
----> equation A
----> equation B
Solve the system by substitution
substitute equation A in equation B
solve for y
<em>Find the value of x</em>
----> 
therefore
The number of gift wrap rolls for solid colors sold was 270 and the number of gift wrap rolls for sprint patterns sold was 210
