The theoretical probability is the probability you'd expect before performing the experiment. So, assuming the die is fair, every outcome has the same probability. Since there are 6 numbers on the die, every number appears, theoretically, with probability 1/6.
The experimental probability is the probability you estimate after performing the experiment. You divide the number of cases a certain outcome happened, and divide by the total number of trials.
In this case, you performed 50 rolls, and the die landed on six 12 times. This means that the experimental probability is 12/50, or 6/25.
If line segment EF is 28 and F is halfway through the line, then segment EF will be half of 28. So segment EF=14
Answer:
the answer should be 50
Step-by-step explanation:
Answer:
72 in^3
Step-by-step explanation:
Volume: lwh
V = 6 · 3 · 4
V = 18 · 4
V = 72 in^3
Answer:
x = 3/2 + sqrt(17)/2 or x = 3/2 - sqrt(17)/2
Step-by-step explanation:
Solve for x over the real numbers:
x/x - 1 = x - 3 - 2/x
x/x - 1 = 0:
0 = x - 3 - 2/x
0 = x - 3 - 2/x is equivalent to x - 3 - 2/x = 0:
x - 3 - 2/x = 0
Bring x - 3 - 2/x together using the common denominator x:
(x^2 - 3 x - 2)/x = 0
Multiply both sides by x:
x^2 - 3 x - 2 = 0
Add 2 to both sides:
x^2 - 3 x = 2
Add 9/4 to both sides:
x^2 - 3 x + 9/4 = 17/4
Write the left hand side as a square:
(x - 3/2)^2 = 17/4
Take the square root of both sides:
x - 3/2 = sqrt(17)/2 or x - 3/2 = -sqrt(17)/2
Add 3/2 to both sides:
x = 3/2 + sqrt(17)/2 or x - 3/2 = -sqrt(17)/2
Add 3/2 to both sides:
Answer: x = 3/2 + sqrt(17)/2 or x = 3/2 - sqrt(17)/2
