La velocidad de un carro cambia de 5m/s a 35m/s en 5 segundos <br> Cual es la velocidad del carro?

Wires manufactured for use in a computer system are specified to have resistances between 0.11 and 0.13 ohms. The actual measure

Marina CMI [18]

Answer:

a) $P(0.11$

And we can find this probability with this difference and with the normal standard table or excel:

$P(-1.11$

b) $P(0.11 < \bar X < 0.13)$

And we can use the z score defined by:

$z = \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}$

And using the limits we got:

$z = \frac{0.11-0.12}{\frac{0.009}{\sqrt{4}}}= -2.22$

$z = \frac{0.13-0.12}{\frac{0.009}{\sqrt{4}}}= 2.22$

And we want to find this probability:

$P(-2.22< Z$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Part a

Let X the random variable that represent the resitances of a population, and for this case we know the distribution for X is given by:

$X \sim N(0.12,0.009)$

Where $\mu=0.12$ and $\sigma=0.009$

We are interested on this probability

$P(0.11$

And the best way to solve this problem is using the normal standard distribution and the z score given by:

$z=\frac{x-\mu}{\sigma}$

If we apply this formula to our probability we got this:

$P(0.11$

And we can find this probability with this difference and with the normal standard table or excel:

$P(-1.11$

Part b

We select a sample size of n =4. And since the distribution for X is normal then we know that the distribution for the sample mean $\bar X$ is given by:

$\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})$

And we want this probability:

$P(0.11 < \bar X < 0.13)$

And we can use the z score defined by:

$z = \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}$

And using the limits we got:

$z = \frac{0.11-0.12}{\frac{0.009}{\sqrt{4}}}= -2.22$

$z = \frac{0.13-0.12}{\frac{0.009}{\sqrt{4}}}= 2.22$

And we want to find this probability:

$P(-2.22< Z$

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A quadrilateral is dilated by a scale factor of 2. It's original side measures are 7, 14, 21, and 28.

algol13

Answer:

14,28,42 and 56

Step-by-step explanation:

Multiply all lengths by 2 as the quadrilateral is dilated by a scale factor of 2

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How many zeros does the quadratic function f(x) = x2 have

mina [271]

You can tell how many zeros an equation has by if the equation is squared, cubed... In this equation, x^2 would have 2 zeros.

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Find the slope of the tangent to the graph of the given function at the indicated point. HINT [Recall that the slope of the tang

Mrac [35]

f'(x)

$= 8{x}^{7}$

slope

$8 {( - 8)}^{7} = - {8}^{8}$

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What fraction is closest in value to 0.39?<br> 1/3, 2/5, 3/8, or 9/25?

Afina-wow [57]

1/3 (0.333,,,) is 0.05666... away from 0.39 .

2/5 (0.4) is 0.01 away .

3.8 (0.375) is 0.015 away .

9/25 (0.36) is 0.3 away .

2/5 is the closest one.

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La velocidad de un carro cambia de 5m/s a 35m/s en 5 segundos Cual es la velocidad del carro?