Answer:
The z-score for an income of $2,100 is 1.
Step-by-step explanation:
If X 
N (µ, σ²), then 
, is a standard normal variate with mean, E (Z) = 0 and Var (Z) = 1. That is, Z N (0, 1).
The distribution of these z-variate is known as the standard normal distribution.
Given:
µ = $2,000
σ = $100
<em>x</em> = $2,100
Compute the <em>z</em>-score for the raw score <em>x</em> = 2100 as follows:
Thus, the z-score for an income of $2,100 is 1.
Answer:
Option: D is correct.
Step-by-step explanation:
since we are given a inequality as:
Clearly from the graph of the following inequality we could see that the origin is included in the shaded region and the shaded area is below the line.
Also it could be seen that if we put the origin points i.e. (0,0) in the inequality than 0<2 and the condition is true and hence origin is included in the shaded area.
Hence, option D is true.
To solve this problem, we need to get the variable x alone on one side of the equation. To begin, we are going to use the distributive property twice on the left side of the equation to expand the multiplication and get rid of the parentheses.
4(x-1) - 2(3x + 5) = -3x -1
4x - 4 -6x - 10 = -3x - 1
Next, we should combine like terms on the left side of the equation. This means we should add/subtract the variable terms and the constant terms in order to simplify this equation further.
-2x - 14 = -3x - 1
Then, we have to add 3x to both sides of the equation to get the variable terms all on the left side of the equation.
x - 14 = -1
After that, we should add 14 to both sides of the equation to get the variable x alone one the left side of the equation.
x = 13
Therefore, the answer is 13.
Hope this helps!
Hey there, Delilah
What's it like in New York city?
I'm a thousand miles away
But, girl, tonight you look so pretty
Yes, you do
Time square can't shine as bright as you
I swear, it's true
Hey there, Delilah
Don't you worry about the distance
I'm right there if you get lonely
Give this song another listen
Close your eyes
Listen to my voice, it's my disguise
I'm by your side
Oh, it's what you do to me
Oh, it's what you do to me
Oh, it's what you do to me
Oh, it's what you do to me
What you do to me
Hey there, Delilah
I know times are gettin' hard
But just believe me, girl
Someday I'll pay the bills with this guitar
We'll have it good
We'll have the life we knew we would
My word is good
Hey there, Delilah
I've got so much left to say
If every simple song I wrote to you
Would take your breath away
I'd write it all
Even more in love with me you'd fall
We'd have it all
Oh, it's what you do to me
Oh, it's what you do to me
Oh, it's what you do to me
Oh, it's what you do to me
A thousand miles seems pretty far
But they've got planes and trains and cars
I'd walk to you if I had no other way
Our friends would all make fun of us
And we'll just laugh along because we know
That none of them have felt this way
Delilah, I can promise you
That by the time we get through
The world will never ever be the same
And you're to blame
Hey there, Delilah
You be good, and don't you miss me
Two more years and you'll be done with school
And I'll be makin' history like I do
You'll know it's all because of you
We can do whatever we want to
Hey there, Delilah, here's to you
This ones for you
Oh, it's what you do to me
Oh, it's what you do to me
Oh, it's what you do to me
Oh, it's what you do to me
What you do to me
Oh, whoa, whoa
Oh whoa, oh
Oh, oh
