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musickatia [10]
2 years ago
14

a ferris wheel is an amusement park ride comprised of a large wheel rotating on an axis. there are cars or compartments where pe

ople can sit or stand that are evenly spaced about the circumference of the circle. the wheel rotates slowly, taking passengers on a ride around the circumference of the circle. please select one of the following famous ferris wheels to research: • singapore flyer • london eye • star of nanchang you will need to find the diameter and number of compartments (or cars) for the one you chose in order to be able to complete the calculations section of the assignment. once you have your information, move on to step 2.
Mathematics
1 answer:
chubhunter [2.5K]2 years ago
7 0

The research was conducted on the ferris wheel. The number of cars or compartments is 32. The London Eye and the diameter of the wheel is 120m.

It is required to find the solution.

<h3>What is a statement?</h3>

A statement is a declarative sentence that is either true or false but not both. A statement is sometimes called a proposition. The key is that there must be no ambiguity. To be a statement, a sentence must be true or false, and it cannot be both.

Given:

The circumference of the wheel will be:

= 2πr

= 2π(120/2)

= 377m

The area of the wheel will be:

= πr²

= π(60²)

= 11310m²

The measure of a central angle in degrees will be:

= 360/32 = 11.25 degrees

The measure of a central angle in radians will be:

= 2π(11.25)/360

= 20 radians.

The arc length between two cars or compartments will be:

= 2π(60)(11.25)/360

= 11.78

The area of a sector between two cars or compartments will be:

= π(60²)(11.25)/360

= 353.43

An equation of a circle for your ferris wheel when the center of the ferris wheel is located at (0, 0) on a coordinate grid will be x² + y² = 3600.

Therefore, the research was conducted on the ferris wheel. The number of cars or compartments is 32. The London Eye and the diameter of the wheel is 120m.

Learn more about statement here:

brainly.com/question/2285414

#SPJ4

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19/20 centimeters long
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A service center receives an average of 0.6 customer complaints per hour. Management's goal is to receive fewer than three compl
True [87]

Answer:

0.18203 = 18.203% probability that exactly four complaints will be received during the next eight hours.

Step-by-step explanation:

We have the mean during a time-period, which means that the Poisson distribution is used to solve this question.

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

In which

x is the number of sucesses

e = 2.71828 is the Euler number

\mu is the mean in the given interval.

A service center receives an average of 0.6 customer complaints per hour.

This means that \mu = 0.6h, in which h is the number of hours.

Determine the probability that exactly four complaints will be received during the next eight hours.

8 hours means that h = 8, \mu = 0.6(8) = 4.8.

The probability is P(X = 4).

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

P(X = 4) = \frac{e^{-4.8}*4.8^{4}}{(4)!} = 0.18203

0.18203 = 18.203% probability that exactly four complaints will be received during the next eight hours.

5 0
3 years ago
1. Given the below sequence: -1, -3, -5, -7, . . . (a) What are the next 3 terms? (b) Is this an arithmetic or geometric sequenc
valentinak56 [21]

Answer:

(a) -7 , - 9 , - 11

(b) Arithmetic sequence

(c) There is a common difference of -2

(d) -53

Step-by-step explanation:

(a) To find the next three terms , we must firs check if it is arithmetic sequence or a geometric sequence . For it to be an arithmetic sequence , there must be a common difference :

check :

-3 - (-1) = -5 - (-3) = -7 - (-5)  = -2

This means that there is a common difference of -2 , which means it is an arithmetic sequence.

The next 3 terms we are to find are: 5th term , 6th term and 7th term.

t_{5} = a + 4d

t_{5} = - 1 + 4 ( -2 )

t_{5} = -1 - 8

t_{5} = - 9

6th term = a +5d

t_{6} = -1 + 5(-2)

t_{6} = -1 - 10

t_{6} = - 11

t_{7} = a + 6d

t_{7} = -1 + 6 (-2)

t_{7} = -1 - 12

t_{7} = -13

Therefore : the next 3 terms are : -9 , -11 , - 13

(b) it is an arithmetic sequence because there is a common difference which is -2

(c) Because of the existence of common difference

(d) t_{27} = a + 26d

t_{27} = -1 + 26 ( -2 )

t_{27} = -1 - 52

t_{27} = - 53

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3 years ago
Solve the systems by the addition method 2x + y = - 1x - 2y = - 4
inna [77]

Answer:

x = -6/5

y =7/5

Step-by-step explanation:

2x + y = - 1

x - 2y = - 4

Multiply the first equation by 2 so we can eliminate y

2(2x + y = - 1)

4x + 2y = -2

Add this to the second equation

4x + 2y = -2

x - 2y = - 4

---------------------

5x + 0y = -6

Divide by 5

5x/5 = -6/5

x = -6/5

Multiply the second equation by -2 so we can eliminate x

-2(x - 2y = - 4)

-2x+4y = 8

Add this to the first equation

2x + y = - 1

-2x+4y = 8

---------------------

0x + 5y = 7

Divide by 5

5y/5 = 7/5

y =7/5

6 0
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At a local preschool there is a ratio of 3 boys to every 4 girls. If there are 245 total preschoolers enrolled then how many are
hichkok12 [17]

Answer:

105 boys

Step-by-step explanation:

At a local preschool there is a ratio of 3 boys to 4 girls.

i.e boys:girls = 3:4

There are 245 preschoolers enrolled.

Number of boys = \frac{3}{7} × 245 = 105 boys

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3 years ago
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