<h3>
Answer: 3^15</h3>
Work Shown:
3^12 * 27
3^12 * 3^3
3^(12+3)
3^15
I used the rule a^b*a^c = a^(b+c) on the third step.
1) 23
2) 3
3) 6x+5 (I am not sure what they ask for)
4) -12+x
5) -56x + 16
6) -90+80x
7) -18x+45y-27
8) 6x+24y-42
9) 2/3w+x-1
10) -1.2wy +3y
Answer:
a) 0.1587
b) 0.0475
c) 0.7938
Step-by-step explanation:
Let's start defining our random variable.
X : ''Thickness (in mm) of ancient prehistoric Native American pot shards discovered in a Hopi village''
X is modeled as a normal random variable.
X ~ N(μ,σ)
Where μ is the mean and σ is the standard deviation.
To calculate all the probabilities, we are going to normalize the random variable X.
We are going to call to the standard normal distribution ''Z''.
[(X - μ) / σ] ≅ Z
We normalize by subtracting the mean to X and then dividing by standard deviation.
We can find the values of probabilities for Z in a standard normal distribution table.
We are going to call Φ(A) to the normal standard cumulative distribution evaluated in a value ''A''
a)

Φ(-1) = 0.1587
b)


1 - Φ(1.666) = 1 - 0.9525 = 0.0475
c)

Φ(1.666) - Φ(-1) = 0.9525 - 0.1587 = 0.7938
Answer:
2.5 right?
Warning: Answer may be wrong. I don`t know, it`s 11 A.M so please forgive me.
X shortest piece
X+6 middle piece
X+8 longest piece
Add them
3x+14=56
3x=42
X=42/3=14