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eimsori [14]
3 years ago
8

Which expressions are completely factored? Select each correct answer. 32y10−24=8(4y10−3)

Mathematics
1 answer:
I am Lyosha [343]3 years ago
4 0
The Answers Fam Are............ <span>32y10−24=8(4y10−3)...........,</span><span>16y5+12y3=4y3(4y2+3)</span>
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Relationships between means, standard deviations, X values,and z-scores
Vlada [557]

Answer:

a) The average salary of firefighters in Portugal is $583.

b) The standard deviation of the salary of firefighters in Portugal is $319.8

Step-by-step explanation:

We are given the following in the question:

a) Standard Deviation, σ = $145.80

We are given that the distribution of salary of professor is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

A salary of $510.10 has a z-score of -0.50.

Putting values, we get,

-0.50 = \displaystyle\frac{510.10-\mu}{145.80}\\\\\mu = 0.50(145.80) + 510.10\\\Rightarrow \mu = 583

Thus, the average salary of firefighters in Portugal is $583.

b) Mean, μ = $2,132

We are given that the distribution of salary of computer programmers is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

The salary of $2,291.90 has a z-score of +0.50

Putting values, we get,

0.50 = \displaystyle\frac{2291.90-2132}{\sigma}\\\\\sigma= \frac{2291.90-2132}{0.50}\\\\\sigma = 319.8

Thus, the standard deviation of the salary of firefighters in Portugal is $319.8

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Simplify completely quantity 12 x plus 36 over quantity x squared minus 4 x minus 21 and find the restrictions on the variable..
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To simplify the expression stated, it is better to write it in the numerical form. The statement is:

<span>quantity 12 x plus 36 over quantity x squared minus 4 x minus 21

The numerical form is:

12x+36 / (x</span>²-4x-21)

Simplifying,
12x+36 / (x<span>²-4x-21)
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We can cancel the x+3 term, leaving only:
12/(x-<span>7)</span>
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The two-way frequency table below shows data on twins in a patient's family history and pregnancies with twins
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