z-score of a company is 5.
What is z- test?
A z-test is a statistical test used to determine whether two population means are different when the variances are known and the sample size is large.
The annual salaries of all employees at a financial company are normally distributed with a mean of $34,000 and a standard deviation of $4,000.
Now, using z- score
z= (x-
)/
z= 54000- 34000/ 4000
z= 20000/4000
z=5.
Hence, z-score of a company is 5.
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A) What's the volume of this fish tank? Show all work and express your answer as a mixed number in its most simplified form!
By definition we have that the volume of a rectangular prism is given by:
V = (w) * (l) * (h)
Where,
w: width
l: long
h: height
We then have to replace the values:
V = (7) * (5.5) * (2.5)
V = 96.25 in ^ 3
Equivalently:
V = 96 1/4 in ^ 3
B) Could this fish tank hold 100 in³ of water? Answer yes or no, then explain why in one or more sentences.
No, this fish tank could not hold 100 in³ of water.
This is because the prism volume (part A) is less than 100 in ^ 3.
In other words;
96 1/4 in ^ 3 <100 in ^ 3
For this case we have by definition, that the equation of a line in the slope-intersection form is given by:

Where:
m: It is the slope of the line
b: It is the cut point with the "y" axis
We have, according to the data provided, that the line is of the form:

That means that the slope is -1.
ANswer:

Answer:
(0, -1)
Step-by-step explanation:
There are multiple ways of solving this however- since both equations are already in Y-Intercept form, we will use the "Equal Values Method"
First, since both equations are equal to Y, we can set them equal to each other and solve for X

To start, you must eliminate the fraction using a "fraction buster" multiply EVERYTHING by 4 then simplify.

Since we still have a fraction, we shall do it one more time. This time we multiply by 3

Now, solve how you normally would.
9x = 6x
-6x
3x = 0
X = 0
Now, since we know what X would equal in the solution, we are able to plug in X as 0 in one of our equations. We can choose the first one!

Now solve which would lead to y = -1
You have your solution as
(X,Y)
(0,-1)
Hope this helps!
The slope equals 1/2 (rise over run)