Answer:
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Step-by-step explanation:
Answer:

Step-by-step explanation:
<h3>Factorize the Expressions</h3>


<h3>Factor out the Common Factors</h3>

<h3>Multiply the Common Factors</h3>

The Factored expressions are

And

Answer:
a) x = 2
b) x = 4
Step-by-step explanation:
a = (b₁ + b₂)/2 * h
----------------------------
a)
48 = (10 + x)/2 * 8
Divide both sides by 8
6 = (10 + x)/2
multiply both sides by 2
12 = 10 + x
Subtract 10 from both sides
2 = x
x = 2
---------------------------------
b)
18 = (7 + 2)/2 * x
18 = 4.5 * x
divide both sides by 4.5
4 = x
x = 4
Answer:
5/32
Step-by-step explanation:
If a coin if flipped five times with four heads, then it has exactly one tail. The number of way to arrange four heads and one tail are as follows:
T H H H H
H T H H H
H H T H H
H H H T H
H H H H T
Essentially, there are five way because there are five "positions" where the tail could be.
Then, you need to find the total amount of possibilities for flipping a coin five times. Every time you flip it, there are two possibilities- heads and tails. Therefore, for five flips, the total amount of possibilities is
2x2x2x2x2 = 32
You know that
probability= # of desired outcome
----------------------------------
# of total outcomes
So the probablity is 5/32.