Answer:
6x^3+6y^3+10
Step-by-step explanation:
Answer: You have a better chance if you do not replace the red marble.
Step-by-step explanation:
The bag has:
5 red marbles
8 blue marbles
4 yellow marbles
3 green marbles
A total of 5 + 8 + 4 + 3 = 20
You want to draw a red marble and then a blue marble.
The probability of drawing a red marble in your first attempt is the number of red marbles divided the total number of marbles:
P1 = 5/20
now you want to draw a blue marble.
If you replace the red marble, you have 20 marbles again in the bag, then the probability of drawing a blue marble is:
P2 = 8/20
The joint probability is P = P1*P2 = (5/20)*(8/20) = 0.1
If you do not replace the red marble, you have 19 total marbles in the bag, then the probability of taking a blue marble is:
P2 = 8/19
The joint probability is:
P = P1*P2 = (5/20)*(8/19) = 0.105
The probability is slightly bigger if you do not replace the red marble.
Answer:
Alicia is 18years
Quentin is 14years
Rosalyn is 16years
Step-by-step explanation:
Let the age of Alicia be x
Let the age of Quentin be y
Let the age of Rosalyn be z
If the sum of the siblings’ ages, in years, is 48 then;
x+y+z = 48.... 1
If Rosalyn is two years older than Quentin then;
z =y+2 ..... 2
Also if Quentin is four years younger than Alicia then;
y = x-4 ... 3
From 3:
x = y+4 ... 4
Substitute 2 and 4 into 1 to have:
y+4+y+y+2 = 48
3y + 6= 48
3y = 48-6
3y= 42
y = 14
Since x= y+4
x = 14+4
x = 18
Since z = y+2
z = 14+2
z = 16year
This means that;
Alicia is 18years
Quentin is 14years
Rosalyn is 16years
Answer:
22, 19, 16 and - 5
Step-by-step explanation:
To evaluate any term from the n th term formula substitute the terms position value for n
given 
= 25 - 3n, then
(a)
= 25 - (3 × 1) = 25 - 3 = 22
= 25 - (3 × 2) = 25 - 6 = 19
= 25 - (3 × 3) = 25 - 9 = 16
(b)
= 25 - (3 × 10) = 25 - 30 = - 5
