Answer:
Step-by-step explanation:
<u>Solution 1:</u>
Notice the 
coordinate of both points are equal, meaning both points are on a vertical line. The distance between two points on a vertical line is the absolute difference of their y-coordinates. The absolute difference between 
and 
is 
.
<u>Solution 2:</u>
The distance between two points 
and 
is:
Plugging in given values, we have:
.
Answer:
a) Эx ∈ R ⊇ x³ = 2
b) ∀x ∈ R, x² ≥ 0
c) Эx ∈ R ⊇ x³ = x
d) ∀x ∈ R, x ≤ x²
Step-by-step explanation:
Given the data in the question;
let us first go through some symbols and their possible meanings;
Э ⇒ there exists
∀ ⇒ for all
∈ ⇒ belongs to or set membership or element of the set
⊇ ⇒ such that
now;
a) There is a number whose cube is equal to 2
let x represent the number; so
Эx ∈ R ⊇ x³ = 2
b) The square of every number is at least 0
x² ≥ 0, ∀x ∈ R
∀x ∈ R, x² ≥ 0
c) There is a number that is equal to its square
Эx ∈ R ⊇ x³ = x
d) Every number is less than or equal to its square.
x ≤ x², ∀x ∈ R
∀x ∈ R, x ≤ x²
Answer: 0.6274
Step-by-step explanation:
Given: The proportion of patients experience injection-site reactions with the current needle : p=0.11
Sample size : n= 4
Let x be a binomial random variable that represents the people get an injection-site reaction.
Binomial probability formula: 
The required probability : P(x=0)
Hence, the probability that none of the 4 people get an injection-site reaction = 0.6274
Answer:
x=5
Step-by-step explanation:
So i got this by first distributing.
Distribute:
-2x-12+3=-11x+4x+16
Combine Like Terms:
-2x-9=-7x+16
Isolate the x's to one side:
5x=25
Divide:
x=5
I believe it is
y(x) = e^8e^4t
