Answer:
The odds would be in faver of the white marble.
Step-by-step explanation:
Hope that helps :)
Odd numbers take the form
, where
is an integer. When
, the last odd number would be 799. So we're adding

By reversing the order of terms, we have

and we can pair up terms in both sums at the same position to write

so that we are basically adding 400 copies of 800, and from there we can find the value of the sum right away:

###
We could also make use of the formulas,


We have

Answer:
mean= 90
Step-by-step explanation:
The mean is the terms added together, then divided by the number of terms (in this case, 8):

Done.
Answer:
0.67>2/3
Step-by-step explanation:
If you divide 2 by 3, you will end up with 0.6.
Now, you can compare the two numbers 0.6 and 0.67.
Answer:
π
Step-by-step explanation:
Solve for x on the interval [0, 2pi]
Given the equation
Sinx = cosx + 1
Square both sides of the equation
Sin²x = (cos x + 1)²
Sin²x = cos²x + 2cos x + 1
Since Sin²x = 1 - cos²x
1 - cos²x = cos²x + 2cos x + 1
Collect like terms
1-1-cos²x-cos²x-2cos x = 0
-2cos²x-2cos x = 0
-2cos²x = 2cos x
-cosx = 1
cos x = -1
x = arccos -1
x = 180 degrees
<em>Hence the value of x = π</em>