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3 years ago

A circumference of the wheel of Victoria is 4.4m. How much distance coill it cover in 500 revolutions?

Mathematics

1 answer:

Semenov [28]3 years ago

4 0

$\huge \bf༆ Answer ༄$

Total distance covered is equal to ~

Number of revolutions × circumference

$\sf500 \times 4.4$

$\sf2200 \: m$

Hence distance covered = 2200 m = 2.2 km

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What is the gcf for 14 and 55?

pentagon [3]

The greatest common factor would be 1 because you need to factor both 14 and 55 so factor 14 and you get 2 and 7 factor 55 you get 5 and 11 the the GCF has to be 1
I hope this is helpful

4 0

3 years ago

The school auditorium can hold at most 480 people. There were 185 advance tickets sold for the school play. Write and solve an i

attashe74 [19]

Answer:

p + 185 ≤ 480

p ≤ 295

At most 295 people can attend the play

Step-by-step explanation:

3 0

2 years ago

Grading managers. Some companies "grade on a bell curve" to compare the performance of their managers and professional workers.

Monica [59]

Answer:

$\mu = 250, \sigma = 175.781$

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".

Solution to the problem

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

$X \sim N(\mu,\sigma)$

For this case we have two conditions given:

$P(X$

$P(X>475) = 0.1$ or equivalently $P(X$

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

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

So we can find a value from the normal standard distribution that accumulates 0.1 and 0.9 of the area in the left, for this case the two values are:

$z= -1.28, z=-1.28$

We can verify that P(Z<-1.28) =0.1[/tex] and P(Z<1.28) =0.9[/tex]

And then using the z score we have the following formulas:

$-1.28 = \frac{25 -\mu}{\sigma}$ (1)

$1.28 = \frac{475 -\mu}{\sigma}$ (2)

If we add equations (1) and (2) we got:

$\frac{25 -\mu}{\sigma} + \frac{475 -\mu}{\sigma} =0$

We can multiply both sides of the equation by $\sigma$ and we got:

$25+ 475 -2 \mu = 0$

$\mu = \frac{500}{2}= 250$

And then we can find the standard deviation for example from equation (1) and we got:

$\sigma = \frac{25-250}{-1.28}=175.781$

So then the answer would be:

$\mu = 250, \sigma = 175.781$

3 0

3 years ago

Solve your equation using trail and improvement. A number plus ten times its square root is is equal to one thousand

Alex

Answer:

$x \approx 729$

Step-by-step explanation:

Given

Let the number be x

So:

$x + 10\sqrt x = 1000$

Required

Using trial and improvement, find x

This implies that we keep guessing the values of x until we get a value that match the equation.

Let

$x = 625$

So, we have:

$x + 10\sqrt x = 1000$

$625 + 10 *\sqrt{625}$

Take the square root of 625

$625 + 10 *\sqrt{625} = 625 + 10 *25$

$625 + 10 *\sqrt{625} = 625 + 250$

$625 + 10 *\sqrt{625} = 875$

Let

$x = 729$

So, we have:

$x + 10\sqrt x = 1000$

$729 + 10 * \sqrt{729}$

Take the square root of 729

$729 + 10 * \sqrt{729} = 729 + 10 * 27$

$729 + 10 * \sqrt{729} = 729 + 270$

$729 + 10 * \sqrt{729} = 999$

At this point, we can conclude that x is approximately 729 because

$999 \approx 1000$

So:

$x \approx 729$

5 0

3 years ago

WORTH 10 points. Explain work

Soloha48 [4]

This should help you. Use the Pythagorean theorem and you will find the length of the hypotenuse of a right triangle here

6 0

3 years ago

A circumference of the wheel of Victoria is 4.4m. How much distance coill it cover in 500 revolutions?​

A circumference of the wheel of Victoria is 4.4m. How much distance coill it cover in 500 revolutions?