The English phrase of the obtained equation is 12 times z subtracted by 3. The obtained equation after solving is 12z -23
<h3>What exactly is simplification?</h3>
Simplifying means making something easier to do or comprehend, as well as making something less difficult.
Given data;
z be the unknown number
Given conditions;
1. The difference between a number and −23.
2.−23 is equal to the product of the number and 13.
The mathematical form of the given phrase is;
⇒ z - (-23) = z × 13
⇒z+23 = 13z
⇒12z -23
The English phrase of the obtained equation is 12 times z subtracted by 3.
Hence the simplification of the given expressions is 12z -23.
To learn more about the simplification, refer to:
brainly.com/question/23509407
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Answer:
a. The sampling distribution will be approximately normal.
d. The mean of the sampling distribution will be close to 52%
g. The standard deviation of the sampling distribution will be 0.0408
Step-by-step explanation:
For this problem the sample size is large enough (n>30), and then the sampling distribution
would be approximately normal. The mean of the sampling distributions is given by 
The expected value for the sampling distribution would be 0.52 since 
And for the standard deviation we know that is given by:

So the correct answers on this case are:
a. The sampling distribution will be approximately normal.
d. The mean of the sampling distribution will be close to 52%
g. The standard deviation of the sampling distribution will be 0.0408
A function cannot be a function if any x is repeating. The x in A has the number 1 repeating. The x is C has 2 repeating the x in D has 1 repeating.
Therefore, our answer would be (B)
Answer:
The original dimensions of the piece of metal are
Length: 36 inches
Width: 21 inches
Step-by-step explanation:
Let
x ----> the original length pf the piece of metal
y ----> the original width pf the piece of metal
we know that
----> equation A
The volume of the box is equal to

we have



substitute in the formula of volume
----> equation B
substitute equation A in equation B

solve for y


Solve the quadratic equation by graphing
using a graphing tool
The solution is y=21
Find the value of x

therefore
The original dimensions of the piece of metal are
Length: 36 inches
Width: 21 inches