Answer:
5/156
Step-by-step explanation:
First, how many pieces?
1 red+ 5 green + 7 yellow = 13 pieces
We draw a piece
The probability it is green
P(green) = number of green/ total
= 5/13
Now there are only 12 pieces left
Probability the second piece drawn is red
P(red with 1 piece removed) = number of red/ total left
= 1/12
P(green, then red) = P(green) * P(red with 1 piece removed)
= 5/13 *1/12
=5/156
The extreme values of the function f(x) = x - 4sqrt(x) occur at the values of x for which f'(x) = 0
f'(x) = 1 - 2/sqrt(x) = 0
sqrt(x) - 2 = 0
sqrt(x) = 2
x = 4
To check for minimum or maximum,
f''(x) = 1/(sqrt(x))^3 = 1/(sqrt(4))^3 = 1/(2^3) = 1/8 => the point is a minimum.
Therefore, the minimum value = f(4) = 4 - 4sqrt(4) = 4 - 4(2) = 4 - 8 = -4 and occurs at x = 4.
1. Given
2. AD is parallel to BC
3. ∠3 ≅ ∠2
4. transitive property of congruence
5. Definition of bisect
Answer:
Not a subspace
Step-by-step explanation:
(4,0,0) and (0,4,0) are vectors in R3 with zero or one entries being nonzero, but their sum, (4,4,0) has two nonzero entries.
Answer:
Slope-Intercept form: y=x+3
Step-by-step explanation:
The Slope-Intercept form is y=mx+b
You first have to find the slope. You can use the graph and count or you can use the table and use the slope formula 
. You then have to find (b) which is the y-intercept. You can find this easily using the graph or the table.
