Answer:
(a) yes
(b) 1/36
(c) 1/36
(d) 1/18
Step-by-step explanation:
(a) yes they are independent as the outcome of one does not affect the outcome of the other.
(b) As the dice are fair, each possible number (1 through 6) has the same probability of being rolled.
P(1 on green die) = 1/6
P(2 on red die) = 1/6
Therefore, P(1 on green die) AND P(2 on red die) = 1/6 × 1/6 = 1/36
(c) Again, as the dice are fair, each possible number (1 through 6) has the same probability of being rolled.
P(2 on green die) = 1/6
P(1 on red die) = 1/6
Therefore, P(2 on green die) AND P(1 on red die) = 1/6 × 1/6 = 1/36
(d) p[(1 on green die and 2 on red die) OR (2 on green die and 1 on red die)
= 1/36 + 1/36
= 2/36
= 1/18
Answer:
x=11, y=2
Step-by-step explanation:
We can set 1 equal to x-5y and then solve for x. and y.
x = 5y+1
y = x-1/5
We can use this information and plug back in the values for 3y-x or x-5y.
We can set -3 = 3y-x or 1 = x-5y.
To solve for x using -3 = 3y-x we can swap the values of x and y which would make it -3 = 3(x-1/5)-5(x-1/5)+1.
We can do a bit of algebra which would get us x = 11.
Knowing that y = x-1/5 we can plug in 11 for x. y = 11-1/5.
y=2
x=11, y=2
Answer:
B. (100)(5)=500 C.(130)(5)=650 D.130/100= 650/500 E. There are 650 7th graders this year
Step-by-step explanation:
Just took it on Egde
2x + x - 1 x
= ------------------ * ---------
x(x - 1) 8
3x - 1
= --------------
8x - 8
Answer:
x = 15
Step-by-step explanation:
-x = -15
x = -1 × (-15)
<u>x</u><u> </u><u>=</u><u> </u><u>1</u><u>5</u>
