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iren [92.7K]
3 years ago
8

Deviation is the difference between any value and the mean of the set.

Mathematics
1 answer:
faust18 [17]3 years ago
7 0
The answer to this question is true. Based on my knowledge and research, the deviation is, in fact, the difference between any value and the mean of the entire set.
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Which is a simplified form of the expression 6(2t – 3) + 3(t + 5)?
faust18 [17]

Answer:

it's option D.

Step-by-step explanation:

see attachment in case u need steps

8 0
3 years ago
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-3(-x+4)=5+3(x+1) please help​
Lostsunrise [7]

Answer:

No solution.

Step-by-step explanation:

Step 1: Write equation

-3(-x + 4) = 5 + 3(x + 1)

Step 2: Solve for <em>x</em>

  1. Distribute: 3x - 12 = 5 + 3x + 3
  2. Combine like terms: 3x - 12 = 3x + 8
  3. Subtract 3x on both sides: -12 ≠ 8

Here, we see that <em>x</em> has to equal no solution. No value of <em>x</em> would make the equation true.

3 0
4 years ago
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A $250,000 home loan is used to purchase a house. The loan is for 30 years and has a 5.4% APR. Use the amortization formula to d
wlad13 [49]
\bf ~~~~~~~~~~~~ \textit{Amortized Loan Value}&#10;\\\\&#10;pymt=P\left[ \cfrac{\frac{r}{n}}{1-\left( 1+ \frac{r}{n}\right)^{-nt}} \right]&#10;\\\\\\&#10;~~~~~~&#10;\begin{cases}&#10;P=&#10;\begin{array}{llll}&#10;\textit{original amount deposited}\\&#10;\end{array}\to &250000\\&#10;pymt=\textit{periodic payments}\\&#10;r=rate\to 5.4\%\to \frac{5.4}{100}\to &0.054\\&#10;n=&#10;\begin{array}{llll}&#10;\textit{times it compounds per year}\\&#10;\textit{since the payments are}\\&#10;\textit{monthly, then twelve}&#10;\end{array}\to &12\\&#10;t=years\to &30&#10;\end{cases}&#10;

\bf pymt=250000\left[ \cfrac{\frac{0.054}{12}}{1-\left( 1+ \frac{0.054}{12}\right)^{-12\cdot 30}} \right]&#10;\\\\\\&#10;pymt=250000\left[ \cfrac{0.0045}{1-\left( 1.0045\right)^{-360}} \right]&#10;\\\\\\&#10;pymt\approx 250000\left[ \cfrac{0.0045}{0.80138080852472389274} \right]
8 0
3 years ago
Give that each figure shown below is a trapezoid. Find the missing values.
Lyrx [107]

Answer:

EF=22

C=70°

B=110°

Step-by-step explanation:

Trapezoids have to have a total of 360° and there are complementary angles.

6 0
3 years ago
Please show your work and explain it.
Maru [420]

Answer:

f(x)=\dfrac{x+2}{2(x-2)}

Step-by-step explanation:

Remember when you divide fractions, you need to get the reciprocal of the divisor and multiply. So your first simplification would be:

\dfrac{x^2+4x+4}{x^2-6x+8}\div\dfrac{6x+12}{3x-12}\\\\=\dfrac{x^2+4x+4}{x^2-6x+8}\times\dfrac{3x-12}{6x+12}\\\\=\dfrac{(x^2+4x+4)(3x-12)}{(x^2-6x+8)(6x+12)}

Next we factor what we can so we can further simplify the rest of the equation:

=\dfrac{(x^2+4x+4)(3x-12)}{(x^2-6x+8)(6x+12)}\\\\=\dfrac{(x+2)(x+2)(3x-12)}{(x^2-6x+8)(6(x+2))}\\\\

We can now cancel out (x+2)

=\dfrac{(x+2)(3x-12)}{(x^2-6x+8)(6)}

Next we factor out even more:

=\dfrac{(x+2)(3)(x-4)}{(x-2)(x-4)(6)}

We cancel out x-4 and reduce the 3 and 6 into simpler terms:

=\dfrac{(x+2)(1)}{(x-2)(2)}

And we can now simplify it to:

=\dfrac{x+2}{2(x-2)}

6 0
3 years ago
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