See attachment for reply and answer.
12^4 which is equal to 12 times itself 4 times
Answer:
Probability that the piece will be filled with fudge is 4/15 = 0.2667
Step-by-step explanation:
In the question, a box of chocolate contains 15 identical looking pieces. These chocolate pieces are filled in the following way: There are
3 caramel
2 cherry cream
2 coconut
4 chocolate whip
4 fudge
So this makes 3+2+2+4+4= 15
As the total number of chocolate pieces are 15
Let E be the event that the chocolate piece is filled with fudge
As we know Probability of an event is
P(E) = number of favorable outcomes / number of possible outcomes
Here the favorable is the number of pieces filled with fudge and number of possible outcomes are 15 as there are 15 types of chocolate pieces. So the probability that the piece selected will be filled with fudge is:
P(E) = 4/15 = 0.2667
Problem 44
The term "bisect" means "cut in half".
Since BD bisects angle ABC, this means the smaller angles ABD and DBC are congruent.
angle ABD = angle DBC
x+15 = 4x-45
15+45 = 4x-x
60 = 3x
3x = 60
x = 60/3
x = 20
<h3>Answer: x = 20</h3>
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Problem 45
We use the same idea as the previous problem
angle ABD = angle DBC
2x+35 = 5x-22
35+22 = 5x-2x
57 = 3x
3x = 57
x = 57/3
x = 19
<h3>Answer: x = 19</h3>
