Solve the following equation for a. Be sure to take into account whether a letter is
1 answer:
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Answer:
The experimental probability of rolling an odd number is 60%, which is 10% more than the theoretical probability.
Step-by-step explanation:
The complete question is:
Type the correct answer in each box. Use numerals instead of words. If necessary, use/ for the fraction bar(s).
A special 8-sided die is marked with the numbers 1 to 8. It is rolled 20 times with these outcomes.
3, 4, 5, 2, 7, 1, 3, 7, 2, 6, 2, 1, 7, 3, 6, 1, 8, 3, 5, 6
The experimental probability of rolling an odd number is _%, which is _% more than the theoretical probability.
Solution:
The possible outcomes of rolling an 8-sided die are:
S = {1, 2, 3, 4, 5, 6, 7, 8}
The odd numbers are:
Odd = {1, 3, 5, 7} = 4 outcomes
The theoretical probability of rolling an odd number is:
Now from the given 20 outcomes the odd values are:
Odd = {3, 5, 7, 1, 3, 7, 1, 7, 3, 1, 3, 5} = 12 outcomes
Compute the experimental probability of rolling an odd number as follows:
Thus, the experimental probability of rolling an odd number is 60%, which is 10% more than the theoretical probability.
Answer:
Step-by-step explanation:
Equilateral triangles have 3 congruent sides, so all 3 sides have the same length. Therefore, we know that . We are given the lengths of all 3 sides in terms of
, but we only need to set two of them equal to each other to solve for
. Let's use
and
to solve for
. We know that
,
, and
. Therefore, we can write the following equation to solve for
(Substitute given values into equation)
Solving for , we get:
(Subtract
from both sides of the equation to isolate constants)
(Simplify)
(Subtract
from both sides of the equation to isolate
)
(Simplify)
(Divide both sides of the equation by
to get rid of
's coefficient)
(Simplify)
Therefore, , and
. Hope this helps!