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
It’s D.
Natural numbers are 1,2,3,4,5,etc...
Whole numbers are 0,1,2,3,4,5,etc...
Integers are -1,-2,-3,-4,-5,-6,etc...
Rational numbers are -8/12, 2/3, 0.468,etc...
Might be 134 because since angle 2 and 8 are lined up like that it is same side exterior angles which means they are supplementary from each other so they will equal 180. So I did 180-46 to get 134, I’m not sure if I’m correct
The answer is : (3x-1)(x+4)
Answer:
first one: 3 1/3 = 7/3 second: 2 3/4 = 11/4
third one: 3 1/3 + 2 3/4 = 10/3 + 11/4 = 40/12 + 44/12
there fore the answer is: 84/12 or 7
this may help you the first one question only.