George Washington was 6 feet tall. Find the z-score for George Washington. Find the probability that a randomly selected individ

An even function can be reflected over the y-axis and still remain unchanged.
Example: y=x^2
On the other hand, an odd function can be reflected around the origin and also remains unchanged.
Example: y=x^3


A straightforward method to determine this is:

if f(x) is even, then f(-x)=f(x)
if f(x) is odd, then f(-x)=-f(x)


Hence, for an even function
substitute -x in for each and check for equivalence
make sure to fully expand the expressions
g(x)=(x-1)^2+1=x^2-2x+1+1=x^2-2x+2 is the original expression
g(x)=(x-1)^2+1
g(-x)=(-x-1)^2+1
g(-x)=(1)(x+1)^2+1
g(-x)=x^2+2x+1+1
g(-x)=x^2+2x+2
Not the same, as the original contains -2x
Therefore, it is not even
g(x)=2x^2+1
g(-x)=2(-x)^2+1
g(-x)=2x^2+1
It matches, hence it is even
g(x)=4x+2
g(-x)=4(-x)+2
g(-x)=-4x+2
Not equivalent, thus not even
g(x)=2x
g(-x)=2(-x)
g(-x)=-2x
Not equal, therefore not even



g(x)=2x²+1 is the confirmed even function.

Shane and Abha received a team badge for gathering at least 2000 cans for recycling.

This indicates that their collection must total a minimum of 2000 cans.

Abha managed to collect 178 more cans than Shane.

Let’s denote the number of cans Shane collected as S

So, Abha collected = S + 178

The inequality representing the number of cans collected by Shane can be expressed as:

=

A.) The likelihood of being over 25 years old and having a hemoglobin level exceeding 11 is calculated to be 19.58%. Considering the inquiry is focused on individuals older than 25, we will include all relevant data above this age.
In the age range of 25-35, there are 44 cases, and under 35 years, there are 40.
44 + 40 equals 84.
84 divided by 429 results in 0.1958 or 19.58%.

<span>B.) The chance of possessing a hemoglobin level above 11 stands at 35.66%. This is determined by taking the ratio of 153 individuals with hemoglobin levels above 11 to the total population of 429.
153 divided by 429 results in 0.356643 or 35.66%.

</span><span>C.) The occurrence of being over 25 and having a hemoglobin level above 11 is independent of one another since the data shows an inverse relationship; as age increases, the number of people possessing a hemoglobin level above 11 decreases, reflected by the figure of (A) 19.58%.</span>

I believe this is the solution because you cannot go below 600, yet you also cannot exceed 2400.