Answer:
-40
Step-by-step explanation:
h(x) = -7(6) +2
-42+2 = -40
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
<span>Example: x − 2 = 4</span>
When we put 6 in place of x we get:
6 − 2 = 4
which is true
So x = 6 is a solution.
Answer:
In a 24 pack of soda, 1/8 would be 3 cans (24/8 = 3). 1/12 would be 2 cans (24/12=2).
So 3/8 is 9 cans of soda and 5/12 is 10 cans of soda, so they are not equivalent because the number of soda cans is not the same.
Answer:
21x^2-2x+1
Step-by-step explanation:
The area of shaded region= The area of the floor - area of the identical islands
The area of shaded region=(5x+1)^2-2*(2x)(x+3)=25x^2+1+10x-4x^2-12x=21x^2-2x+1