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3 years ago

A carousel has 30 cars. Determine the angle of rotation that maps #6 to car #19.

Mathematics

1 answer:

ivolga24 [154]3 years ago

7 0

Answer: The answer is 260°.

Step-by-step explanation: Given that a Carousel has 30 cars. We need to find the angle of rotation which maps car no. 6 to car no. 19.

Now, the Carousel will make a regular polygon with 30 sides and each car as a vertex.

So, angle of symmetry for the polygon is

$\theta=\dfrac{360^\circ}{30}=20^\circ.$

Number of sides from car 6 to car 19 = 19 - 6 = 13.

Therefore, the angle of rotation that maps car 6 to car 19 is given by

$\alpha=13\times \theta=13\times 20^\circ=260^\circ.$

Thus, the required angle of rotation is 260^\circ.

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a sample size n=5 is selected from a population. under what conditions is the sampling distribution x normal?

Korolek [52]

Answer:

Look below

Step-by-step explanation:

The mean of the sampling distribution always equals the mean of the population.

μxˉ=μ

The standard deviation of the sampling distribution is σ/√n, where n is the sample size

σxˉ=σ/n

When a variable in a population is normally distributed, the sampling distribution of for all possible samples of size n is also normally distributed.

If the population is N ( µ, σ) then the sample means distribution is N ( µ, σ/ √ n).

Central Limit Theorem: When randomly sampling from any population with mean µ and standard deviation σ, when n is large enough, the sampling distribution of is approximately normal: ~ N ( µ, σ/ √ n ).

How large a sample size?

It depends on the population distribution. More observations are required if the population distribution is far from normal.

A sample size of 25 is generally enough to obtain a normal sampling distribution from a strong skewness or even mild outliers.

A sample size of 40 will typically be good enough to overcome extreme skewness and outliers.

In many cases, n = 25 isn’t a huge sample. Thus, even for strange population distributions we can assume a normal sampling distribution of the mean and work with it to solve problems.

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2 years ago

What is the pattern in these numbers? Please explain

galben [10]

Answer:

5/4 and 6/3

Step-by-step explanation:

This series has increasing numerator and decreasing denominator. This series starts as 1/8, So the series goes like

1/8

2/7

3/6 which is reduced to 1/2

4/5

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3 years ago

¿Cómo es esto?, Plisssssssssss ayuda

mel-nik [20]

Answer

I think it is number 5

Step-by-step explanation:

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3 years ago

Corbin is selling cheese at the farmers’ market. One wheel of cheese has a diameter of 11 inches.

sveticcg [70]

Answer:

I. 94.99 in²

II. $0.23

Step-by-step explanation:

Given the following data;

Diameter of wheel = 11 inches

$\pi = 3.14$

Cost of wheel = $21.35

$Radius, r = \frac {diameter}{2}$

$Radius, r = \frac {11}{2} = 5.5 \; inches$

Part A

To find the area;

We know that a wheel is circular in nature. Thus, the area of a circle is given by the formula;

$Area, A = \pi r^{2}$

Substituting into the equation, we have;

$Area, A = 3.14 * 5.5^{2}$

$Area, A = 3.14*30.25$

Area, A = 94.99 in²

Part B

To find cost per square inch;

$Cost \; per \; square \; inch = \frac {Cost \; per \; wheel}{Area \; of \; wheel}$

$Cost \; per \; square \; inch = \frac {21.35}{94.99}$

Cost per square inch = $0.23

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2 years ago

What Shape is generated when Triangle ABC is rotated around the vertical line through B and C

cluponka [151]

The shape that is generated is a Cone.

A triangle, when rotated about one of it's side will generate a solid in a form of a Cone. The cone could be a hollow one or a solid filled one, depending on the properties of the triangle being rotated.

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2 years ago

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