Answer:
Step-by-step explanation:
Given
-- number of toss
--- outcomes of head
<em>See comment</em>
Required
Empirical probability of head
This is calculated as:
Answer:
C, E
Step-by-step explanation:
Here, we want to change the equation of a circle from general form to standard form. This is done by making the leading coefficients 1, completing the squares, and then rewriting the equation in standard form.
The leading coefficients of the given equation are 2, so we first want to divide by 2. This gives ...
x² +y² -4x -6y +8 = 0
Subtracting 8 puts us in better position to complete the squares.
x² +y² -4x -6y = -8
Now, we can add the squares of half the coefficients of the linear terms.
(x² -4x +4) +(y² -6x +9) = -8 +13 . . . . . . matches C
And we can simplify this to the standard form equation:
(x -2)² +(y -3)² = 5 . . . . . matches E
Answer:
13 = u
Step-by-step explanation:
Please include the instructions. I'm assuming you are to "solve for u."
Dividing both sides by 2, we get:
3u + 7 = -2(3 - 2u), or 3u + 7 = -6 + 4u. Combine like terms.
Then 13 = u
Answer:
C. 19
Step-by-step explanation:
Since VZ = ZY, VW = WX therefore we can apply the midpoint theorem where a midpoint line is half of the base line.
Thus:
Then multiply both sides by 2 to get rid of the denominator and solve for x.
Since we want to find the midpoint line or WZ, substitute x = 8 in 3x-5
Therefore, ZW = 19