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Harrizon [31]
3 years ago
14

An amusement park offers two options. Option 1 involves a $10 admission fee plus $0.50 per ride. Option 2 involves a $6 admissio

n fee plus $0.75 per ride. For how many rides do the two options have the same cost ( or, what is the break-even point)?
Mathematics
1 answer:
Art [367]3 years ago
5 0

Answer:

16 rides

Step-by-step explanation:

Option 1 . Admission fee = $10

                Each ride = $0.50

Option 2 . Admission fee = $6

                Each ride = $0.75

Let no. of rides be x

So, cost of ride according to option 1 = 0.50x

So, total cost after having x rides according to option 1 :

= 10+0.50x  ---1

Cost of ride according to option 2 = 0.75x  

So, total cost after having x rides according to option 2 :

= 6+0.75x  --2

Now to find the beak even point i.e. having the same cost

Equate 1 and 2

10+0.50x=6+ 0.75x

10-6= 0.75x-0.50x

4= 0.25x

\frac{4}{0.25} =x

16=x

Thus for 16 rides , the two options have the same cost .

Hence the break even point is 16 rides

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Find the number of permutations of the first 9 letters of the alphabet, taking 4 letters at a time.
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Solution-

First 9 letters of alphabet are- A,B,C,D,E,F,G,H,I

Total number of ways of selection of 4 letters from 9 alphabets = 9C4

=9!÷((4!).(9-4)!) = 9!÷(4!×5!) = (9×8×7×6)÷(24) = 126

The number of ways of arranging these 4 numbers = 4! = 24

∴ Total number of possible permutations = 9C4×4! = 126×24 = 3024

∴ option number 2 is correct.

8 0
3 years ago
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Before we use an applet to simulate the selection of random samples from this population, let’s make sure we are clear about who
Sauron [17]

Answer:

D) college students

The college students are best describes the population

Step-by-step explanation:

<u>Explanation</u>:-

<u>Introduction</u>:-

The outcome of a statistical experiment may be recorded either as a numerical value or as a descriptive representation.

<u>Example</u>:-

  • when a pair of dice are tossed and the sum of the numbers on the faces is the outcome of interest, we record a numerical value.
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In particular study, the number of possible observations may be <u>small, large but finite or infinite.</u>

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In the classification of blood types we can only have as many observations as there are students in the school.

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<u>Example :- 2</u>

If we could toss a pair of dice indefinitely and record the sums occur, we would obtain an infinite set of values .

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The number of observations in the population is defined to be the size of the population.

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7 0
3 years ago
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tatuchka [14]
Convert 20% into a decimal like this >> 20/100 =0.2 now 0.2 x 60.00 =12 the answer hope it works.
7 0
3 years ago
Write the complex number in polar form:
emmasim [6.3K]

9514 1404 393

Answer:

  2√30 ∠-120°

Step-by-step explanation:

The modulus is ...

  √((-√30)² +(-3√10)²) = √(30 +90) = √120 = 2√30

The argument is ...

  arctan(-3√10/-√30) = arctan(√3) = -120° . . . . a 3rd-quadrant angle

The polar form of the number can be written as ...

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_____

<em>Additional comments</em>

Any of a number of other formats can be used, including ...

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  (2√30; -120°)

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  2√30·e^(i4π/3)

Of course, the angle -120° (-2π/3 radians) is the same as 240° (4π/3 radians).

__

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