Step-by-step explanation:
With each draw, the probability of selecting a green marble is 2/3 and the probability of selecting a yellow marble is 1/3.
To pick two of the the same color, they can either pick green twice or yellow twice.
P = (2/3)(2/3) + (1/3)(1/3)
P = 5/9
To pick two different colors, they can either pick green first then yellow, or yellow first then green.
P = (2/3)(1/3) + (1/3)(2/3)
P = 4/9
Expected value for Derek is:
D = (5/9)(-1) + (4/9)(1)
D = -1/9
The expected value for Mia is:
M = (5/9)(1) + (4/9)(-1)
M = 1/9
Given:
The equations are
To find:
Which function is changing more quickly.
Solution:
The slope intercept form of a line is
Where m is slope and b is y-intercept.
On comparing with the slope intercept form, we get
On comparing with the slope intercept form, we get
Since, 
, it means the absolute rate of change of second function is greater than the first function.
Therefore, the second function is changing more quickly.
Answer:
600
Step-by-step explanation:
Divide 8000 by 40 then multiply by 3
Answer:
2
Step-by-step explanation:
18/32 = 1/2
Answer:
<h2><em><u>
m = 20</u></em></h2><h2><em><u>
a = 48</u></em></h2><h2><em><u>
These are the answers.</u></em></h2>
Step-by-step explanation:
1. m/-8 = -2.5
*-8 = *-8
m = -2.5*-8
m = 2.5*8
<em><u>m = 20</u></em>
2. 7/8a = 42
*8 *8
7a = 336
/7 /7
a = 336/7
<em><u>a = 48</u></em>
<em><u></u></em>
Hope this helped,
Kavitha
