Answer:
11.42 boxes
Step-by-step explanation:
For the first box bought, there is a 100% chance of getting a unique toy (since you still don't have any). E₁ = 1.
After that, there is a 4 in 5 chance of getting a unique toy from the next box, the expected number of boxes required is:
For the next unique toy, there is now a 3 in 5 chance of getting it:
Following that logic, there is a 2 in 5 chance of getting the 4th unique toy:
Finally, there is a 1 in 5 chance to get the last unique toy:
The expected number of boxes to obtain a full set is:
Answer:
y − 3 = 2(x − 1)
Step-by-step explanation:
The point-slope form of the equation of a line with slope m through point (h, k) is ...
y -k = m(x -h)
You have m=2, h=1, k=3, so the equation is ...
y -3 = 2(x -1)
Answer:
3 1/3
Step-by-step explanation:
2 + (-2/3)² ÷ 1/3
2 + 4/9 ÷ 1/3
2 + 4/9 × 3/1
2 + 12/9 = 2 + 4/3 = 2 + 1 1/3
= 3 1/3
Answer:
1. x = 2
2. x = 6
3. x = 6
4. x = 1
Step-by-step explanation: i think thats it
Answer:
y = 1.1x +4.46
y = 129.86 for x = 114
Step-by-step explanation:
The two-point form of the the equation for a line is useful for this.
y = (y2 -y1)/(x2 -x1)(x -x1) +y1
y = (7.98 -2.7)/(3.2 -(-1.6))(x -(-1.6)) + 2.7
y = 5.28/4.8(x +1.6) + 2.7
y = 1.1x +1.76 +2.7
y = 1.1x +4.46
__
When x=114, the value of y is ...
y = 1.1(114) +4.46
y = 129.86
