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Amiraneli [1.4K]
3 years ago
5

Un chip tiene un espesor de 0,12 mm y un atomo de cobre mide 0,00000000133 m.¿cuantos atomos se necesita para alinearlos en el e

spesor de un chip de celular uno a continuacion de otro
Mathematics
1 answer:
aleksandr82 [10.1K]3 years ago
7 0

Answer:

El espesor de un chip es de 0.12mm

Y el diámetro de un átomo de cobre, mide aprox:

0.00000000133 m

Queremos saber cuantos átomos deberemos alinear de tal forma que la "cadena" de átomos de cobre mida 0.12mm

Eso es equivalente a ver cuantas veces entra 0.00000000133 m en 0.12mm

Primero, escribamos ambos valores en las mismas unidades, sabiendo que:

1m = 1000mm

Podemos reescribir:

0.00000000133m = 0.00000000133*(1000 mm) = 0.00000133mm

Entonces tenemos que ver cuantas veces entra 0.00000133mm en 0.12mm

Esto sera igual al cociente entre 0.12mm y  0.00000133mm, esto es:

N = (0.12mm)/(0.00000133mm) = 90,225.6

Redondeamos al próximo número entero:

N = 90,226

Esa es la cantidad de átomos que se necesitan.

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You work for a soft-drink company in the quality control division. You are interested in the standard deviation of one of your p
frutty [35]

Answer:

Step-by-step explanation:

weight (x)                         ( x - \overline x)^2

12.05                               0.00123

12                                     0.00019

11.96                                0.00292

12.14                                0.0159

12.12                                0.00112

11.97                                0.0019

11.96                               0.0029

12.11                                 0.0092

11.94                                 0.0055

11.82                                0.038

12                                     0.00019

12.18                                0.028

11.91                                  0.0108

12.06                                0.0021

11.99                                  0.0029

\sum x = 180.21                    \sum (x - \overline x)^2 = 0.12285

Sample size = 15

\overline x = \dfrac{180.21}{15} = 12.014

Sample standard deviation

x = \sqrt{\dfrac{0.12285}{15-1}}

x = 0.0937

\text{degree of freedom = n - 1}

degree of freedom = 15- 1=14

\text{confidence interval} \alpha = 1- 0.98 = 0.02 \\ \\ \alpha/2 = 0.02/2 = 0.01

From \  X^2  \  table}\text{, the critical value} X^2 \text{=0.99 for degree of freedom =14 is given by : 4.660}

\text{, the critical value} X^2 \text{=0.01 for degree of freedom =14 is given by : 29.141}

\text{Thus, the lower limit = 4.660, the upper limit = 29.141}

\text{the confidence interval of the standard deviation} \ \sigma \  is:

\sqrt{\dfrac{(n -1)s^2}{X^2_{\dfrac{\sigma}{2}}} } \le \sigma \le \sqrt{\dfrac{(n -1)s^2}{X^2_{1-\dfrac{\sigma}{2}}} }

replacing our values:

\sqrt{\dfrac{(15 -1)0.0937^2}{29.141} } < \sigma

= 0.06495 < \sigma < 0.1624

\mathbf{Thus; \  \sigma (0.06495 , 0.1624)}

3 0
2 years ago
I need help I don’t understand number lines
Agata [3.3K]

Answer:

Well according to the number line shown, it is in the negative area and if you see this it is near -6.5, all you need to do is count the spots until it hits the circle which is -6.8

Step-by-step explanation:

8 0
3 years ago
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Solve this emergency i will mark you as brainliest
Umnica [9.8K]

Answer:

3/8 cups.

Step-by-step explanation:

2 tablespoons of sugar = 1/16 * 2 = 1/8 cup of sugar.

1/2 cup = 4/8 cups.

So the extra sugar required = 4/8 - 1/8

= 3/8 cups.

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3 years ago
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Hannah earned $1536 in 8 years on an investment at a 4% annual simple interest rate. How much was Hannah’s investment? $4800 $30
Nonamiya [84]

Simple interest calculates interest on initial amount only. The investment by Hannah was : Option A: $4800

<h3>How to calculate simple interest amount if rate of interest is R% annually?</h3>

Suppose that the initial amount of investment is P

And the rate of simple interest is R% annually,

And the time of investment is T years.

Then, the amount of simple interest is calculated as:

I = \dfrac{P \times R \times T}{100}

For the given case, let the initial investment Hannah made was of $P

Then, the time of investment is T = 8 years, R% = 4%, and given that Hannah earned interest I = $1536

Putting values in the above formula, we get;

I = \dfrac{P \times R \times T}{100}\\\\1536 = \dfrac{P \times 8 \times 4}{100}\\\\P = \dfrac{153600}{32} = 4800

Thus,

The investment by Hannah was : Option A: $4800

Learn more about simple interest here:

brainly.com/question/5319581

5 0
3 years ago
What are the focus and directrix of the parabola that is the graph of the function f(x)=x²?
Hitman42 [59]

Answer:

Step-by-step explanation:

Given

y=x^2

comparing it with standard equation x^2=4ay

so 4a=1

a=\frac{1}{4}

so Focus of parabola is (0,0)

directrix

y=-a

here a=\frac{1}{4}

y=-\frac{1}{4}      

5 0
3 years ago
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