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.
Answer:
all work is pictured/shown
Answer:
+ or - square root of 5, and + or - i
Step-by-step explanation:
(x^2 + 5)(x^2 + 1)= 0
Set each set of parentheses equal to zero:
x^2 + 5 = 0; x^2 = -5, so x will equal plus or minus i times the square root of 5.
X^2 +1 = 0; x^2 = -1, so x will equal plus or minus i times the square root of one, which is just i
Answer:
5
(3a²b³c)³(2a⁴b²c²)³
= (3a⁶b⁹c³)(8a¹²b⁶c⁶)
= 24a¹⁸b¹⁵c⁹
14
⁴√(81a¹⁶b¹²c⁹)
= (⁴√81)(⁴√a¹⁶)(⁴√b¹²)(⁴√c⁹)

