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patriot [66]
3 years ago
15

The label on a bottle of film developer states that the temperature, t, of the contents must be kept between 68° and 77° Fahrenh

eit.
Mathematics
2 answers:
pantera1 [17]3 years ago
6 0
What’s the question
skad [1K]3 years ago
5 0
OK, so is this a question?
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Use matrices and elementary row to solve the following system:
LiRa [457]

I assume the first equation is supposed to be

5x-3y+2z=13

and not

5x-3x+2x=4x=13

As an augmented matrix, this system is given by

\left[\begin{array}{ccc|c}5&-3&2&13\\2&-1&-3&1\\4&-2&4&12\end{array}\right]

Multiply through row 3 by 1/2:

\left[\begin{array}{ccc|c}5&-3&2&13\\2&-1&-3&1\\2&-1&2&6\end{array}\right]

Add -1(row 2) to row 3:

\left[\begin{array}{ccc|c}5&-3&2&13\\2&-1&-3&1\\0&0&5&5\end{array}\right]

Multiply through row 3 by 1/5:

\left[\begin{array}{ccc|c}5&-3&2&13\\2&-1&-3&1\\0&0&1&1\end{array}\right]

Add -2(row 3) to row 1, and add 3(row 3) to row 2:

\left[\begin{array}{ccc|c}5&-3&0&11\\2&-1&0&4\\0&0&1&1\end{array}\right]

Add -3(row 2) to row 1:

\left[\begin{array}{ccc|c}-1&0&0&-1\\2&-1&0&4\\0&0&1&1\end{array}\right]

Multiply through row 1 by -1:

\left[\begin{array}{ccc|c}1&0&0&1\\2&-1&0&4\\0&0&1&1\end{array}\right]

Add -2(row 1) to row 2:

\left[\begin{array}{ccc|c}1&0&0&1\\0&-1&0&2\\0&0&1&1\end{array}\right]

Multipy through row 2 by -1:

\left[\begin{array}{ccc|c}1&0&0&1\\0&1&0&-2\\0&0&1&1\end{array}\right]

The solution to the system is then

\boxed{x=1,y=-2,z=1}

5 0
3 years ago
Estimate the difference by rounding each number to the nearest hundred worksheets
Gnom [1K]

just round it into the nearest hundreds

1234 into 1200


7 0
3 years ago
You are planning on applying to the Knirhsdaeh institute as a psychology counselor. They hire millions of psychologists around t
elena-14-01-66 [18.8K]

Answer:

The 98% of the confidence interval for the true average salary of Knirhsdaeh employees as a psychology counselor

(75.4206, 86.5794)

Step-by-step explanation:

<u><em>Step(i):-</em></u>

<em>Given that the mean of the sample = $81 k</em>

<em>Given that the size of the sample 'n' = 23</em>

<em>Given that the standard deviation for the salaries is $13 k</em>

<u><em>Step(ii):-</em></u>

<u><em>98% of the confidence interval for the true average salary of Knirhsdaeh employees is determined by</em></u>

<u><em /></u>(x^{-} - t_{0.02} \frac{S.D}{\sqrt{n} } , x^{-} + t_{0.02} \frac{S.D}{\sqrt{n} })<u><em /></u>

<u><em>Degrees of freedom = n-1 = 23-1 =22</em></u>

<u><em /></u>t_{0.02} = 2.5083<u><em /></u>

(81 - 2.0583 \frac{13}{\sqrt{23} } , 81 + 2.0583 \frac{13}{\sqrt{23} } )

( 81 - 5.57940 , 81 + 5.57940)

(75.4206, 86.5794)

<u><em>Final answer:-</em></u>

The 98% of the confidence interval for the true average salary of Knirhsdaeh employees as a psychology counselor

(75.4206, 86.5794)

7 0
3 years ago
In △ E F G , △EFG, G E ‾ ≅ F G ‾ GE ≅ FG and m ∠ F = 5 5 ∘ . m∠F=55 ∘ . Find m ∠ E . m∠E.
Bingel [31]

Answer: m∠E = 55°

Step-by-step explanation: If a triangle has two equal sides, it is called Isosceles. Another characteristics of this type of triangle is that the angles opposite the equal sides are also congruent.

Triangle ΔEFG has two sides with approximately the same length:

\overline{GE} ≈ \overline{FG}

So, it is an isosceles.

Therefore the opposite angles are m∠E and m∠F.

m∠E = m∠F

m∠E = 55°

Angle at vertex E is 55°.

5 0
2 years ago
Michael is 3 33 times as old as Brandon. 1 8 1818 years ago, Michael was 9 99 times as old as Brandon.
ASHA 777 [7]

soo are these real math questions? I mean like do your teachers actually ask you these kind of questions or you are making all this up? because they seem to have no answers for them at all



I hope this is a joke tbh

8 0
3 years ago
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