A garden is in the shape of a rectangle. If the garden has a length of 4 feet and a width of 6 feet, what is the area of the gar

Consider a circle whose size can vary. Let r r represent the radius of the circle (in cm) and let C C represent the circumferenc

Ket [755]

Answer:

f(r) = 2πr

Step-by-step explanation:

You know the formula for circumference in terms of radius is ...

C = 2πr

You are being asked to write this as a function named "f". That will be ...

f(r) = 2πr

8 0

3 years ago

Read 2 more answers

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:

$P(-2.22< Z$

4 0

3 years ago

Read 2 more answers

Simplify <br>(8/14 - 2/8) + 1/7

konstantin123 [22]

Answer:

13/28.

Step-by-step explanation:

(8/14 - 2/8) + 1/7

We can just remove the parentheses and simplify its contents:

= 4/7 - 1/4 + 1/7

= 4/7 + 1/7 - 1/4

= 5/7 - 1/4 The LCD of 7 and 4 is 28 so we have:

20/28 - 7/28

= 13/28.

7 0

3 years ago

Help with algebra please

Lena [83]

Domain - [-3,3] - What x values there are
Range- [-3,1] - What y values there are

6 0

3 years ago

Read 2 more answers

Scientists notice two asteroids moving directly toward each other. Right now, they are 20 million kilometers apart, but they are

ruslelena [56]

Answer:

The point of intersection is (6, 8). This indicates that in 6 days, asteroid A and B will collide at a point that is 8 million miles away from asteroid A's current position and 12 million miles away from asteroid B's current position.

3 0

3 years ago

Read 2 more answers