Minimum: 37
maximum: 208
range: maximum - minimum = 208 - 37 = 171
mean: (37 + 43 + 54 + 83 + 102 + 117 + 160 + 208)/8 = 100.5
median: middle number (83 + 102)/2 = 92.5
I think the teacher would probably pick two boys and one girl
Base case: if <em>n</em> = 1, then
1² - 1 = 0
which is even.
Induction hypothesis: assume the statement is true for <em>n</em> = <em>k</em>, namely that <em>k</em> ² - <em>k</em> is even. This means that <em>k</em> ² - <em>k</em> = 2<em>m</em> for some integer <em>m</em>.
Induction step: show that the assumption implies (<em>k</em> + 1)² - (<em>k</em> + 1) is also even. We have
(<em>k</em> + 1)² - (<em>k</em> + 1) = <em>k</em> ² + 2<em>k</em> + 1 - <em>k</em> - 1
… = (<em>k</em> ² - <em>k</em>) + 2<em>k</em>
… = 2<em>m</em> + 2<em>k</em>
… = 2 (<em>m</em> + <em>k</em>)
which is clearly even. QED
Answer:
pic1=56-28x
pic2=3cd+12c
pic3=s−t
pic4= the last answer
pic5= the third answer
Step-by-step explanation:
i did the math so just trust me
Answer:
x= 0
Step-by-step explanation:
Let's first simplify the equation to make the PEMDAS process easier.
8x-10=3x-10+7x
8x-10=10x-10
Now lets start the subtracting and dividing process.
8x=10x
0=2x
0=x
