Answer:
$4.2
Step-by-step explanation:
1. 12%=0.12
2. 0.12 of $35 = 0.12 × $35
3. = $4.2
<em>*To solve an inequality, it's the same as solving an equation; isolate the variable to one side.</em>
For this, all you need to do is divide both sides by -4. And since we are dividing by a <u>negative</u>, flip the inequality sign and your inequality is 
Now to graph this. Since x can be "equal to" 1/4 ( ≤ = less than or equal to), you will have a <u>closed circle on 1/4.</u> And since x can also be "less than" 1/4, <u>the arrow will be going to the left of 1/4.</u>
Answer:
Length
inches
Width
inches
Step-by-step explanation:
Let
= length of rectangle,
= width of rectangle
Given the area and the perimeter of the rectangle, we can write:

So:



Now, we can use substitution to find the value of
:



(Quadratic equation)
∴ 
We can use substitution again to find the value of 



∵ Length usually refers to the longer side of a rectangle, ∴ length
inches and width
inches.
Hope this helps :)
The z-score is -0.428
<h3>What is a z-score?</h3>
A z-score, also known as a standard score, provides information on how far a data point is from the mean. Technically speaking, however, it's a measurement of how many standard deviations a raw score is from or above the population mean.
You can plot a z-score on a normal distribution curve.
You must be aware of the mean and population standard deviation to use a z-score.
Z-scores allow results to be compared to a "normal" population.
According to the question,
x=500
μ=533
σ=77
z-score=(x-μ)/σ
On substituting the values,
z-score=(500-533)/77
= -0.428
Learn more about z-scores here:
brainly.com/question/25638875
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