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Ilia_Sergeevich [38]
3 years ago
13

Evaluate the expression for the given values. (5 x - 4 y) 2 given x = 1 and y = -1.

Mathematics
1 answer:
Reika [66]3 years ago
3 0

((5 \times 1) - (4 \times  - 1)  =  \\ 5 - ( - 4) =  \\ 5 + 4 =  \\ 9

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An ensemble of 100 identical particles is sent through a Stern-Gerlach apparatus and the z-component of spin is measured. 46 yie
Elodia [21]

Answer:

The standard deviation is 0.4984 \hbar

Step-by-step explanation:

In order to find standard deviation, The equation is given as

\sigma=\sqrt{\frac{1}{n} \sum_{i=1}^{100} (\mu-x_i)^2

Here μ is the mean which is calculated as follows

                                       \mu=\frac{\sum_{i=1}^{100} x_i}{n}\\\mu=\frac{46\times \frac{\hbar}{2}+54\times \frac{-\hbar}{2}}{100}\\\mu=\frac{-4 \hbar}{100}\\\mu=-0.04 \hbar

Now the standard deviation is given as

                      \sigma=\sqrt{\frac{1}{100} \sum_{i=1}^{100} (-0.04 \hbar-x_i)^2}\\\sigma=\sqrt{\frac{1}{100} [[46 \times(-0.04 \hbar-0.5 \hbar)^2]+[54 \times(-0.04 \hbar+0.5 \hbar)^2]}]\\\sigma=\sqrt{\frac{1}{100} [[46 \times(-0.54 \hbar)^2]+[54 \times(0.46 \hbar)^2]}]\\\sigma=\sqrt{\frac{1}{100} [[46 \times(0.2916 \hbar)]+[54 \times(0.2116 \hbar)]}]\\\sigma=\sqrt{\frac{1}{100} [13.4136 \hbar+11.4264 \hbar}]\\\sigma=\sqrt{\frac{24.84 \hbar}{100}}\\\sigma =0.4984 \hbar

So the standard deviation is 0.4984 \hbar

4 0
3 years ago
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Triss [41]

Answer:

The answer is

B: 10 cups

7 0
4 years ago
How many solutions does the system have? \begin{cases} & y = 2x-1 \\\\ & y = 2x+6 \end{cases} ⎩ ⎪ ⎨ ⎪ ⎧ ​ ​ y=2x−1 y=2x+
coldgirl [10]

Answer:

A) y=2x−1

B) y=2x+6

The equations reduce to:

-1 = 6

Which is NOT true so those equations have NO solution.

Step-by-step explanation:

8 0
3 years ago
Use subtraction 8×25×23
bagirrra123 [75]
8 times 25 times three is 600
4 0
3 years ago
Read 2 more answers
Paolo is putting a fence around his pool. The length of the pool is 20 feet, the width is (20 minus x) feet, and the area of the
Diano4ka-milaya [45]

Answer:

The value of x = 5

Step-by-step explanation:

Length of the pool = 20 feet

Width of the pool = (20 minus x) feet

Area of the pool = 300 square feet

Area of a rectangular pool = length × width

300 = 20 (20 - x)

300 = 400 - 20x

Subtract 400 from both sides

300 - 400 = 400 - 20x - 400

- 100 = - 20x

Divide both sides by -20

x = -100/-20

= 5

x = 5

The value of x = 5

8 0
3 years ago
Read 2 more answers
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