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mash [69]
3 years ago
10

How to do a simulation

Mathematics
1 answer:
vovangra [49]3 years ago
8 0

Answer:

How to Conduct a Simulation

   Describe the possible outcomes.

   Link each outcome to one or more random numbers.

   Choose a source of random numbers.

   Choose a random number.

   Based on the random number, note the "simulated" outcome.

   Repeat steps 4 and 5 multiple times; preferably, until the outcomes show a stable pattern

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For the arithmetic sequence 42, 32, 22, 12... find the 18th term.
Stella [2.4K]

Answer:

The18th term of the given sequence is -128

Explanation:

To find the 18th term of the sequence:

42, 32, 22, 12, ..., we need to find the nth term of the sequence first.

The nth term of a sequence is given be the formula:

T_n=a+(n-1)d

Where a is the first term, and d is the common difference.

Here, a = 42, d = 32 - 42 = -10

\begin{gathered} T_n=42+(n-1)(-10) \\ =42-10n+10 \\ T_n=52-10n \end{gathered}

To find the 18th terem, substitute n = 18 into the nth term

\begin{gathered} T_{18}=52-10(18) \\ =52-180 \\ =-128 \end{gathered}

7 0
1 year ago
The radius of a circle is 4.53 inches what is the length of the circumference of the circle ?
gtnhenbr [62]

Answer:

28.46in

Step-by-step explanation:

C=2πr

C=2π*4.53

C≈28.46in

8 0
2 years ago
Write the following inequality in slope-intercept form. 6x+2y≤-46
Furkat [3]

Answer:


Step-by-step explanation:

y=mx+b

y less than or equal to -3x-23


7 0
2 years ago
A shop keeper has offered an item for sale. Its label price is Rs . It is not sold in one-month period and after one month its l
BigorU [14]

Answer:

x = Rs 20,833.33

the value of x is Rs 20,833.33

Step-by-step explanation:

Let x,y and z represent the price of the item initially, after one month and after two months respectively.

Given that;

after one month its label price is reduced by 20%

y = x - 20% of x

y = x - 0.20x

y = 0.80x ........1

after 2 months its reduced price is further reduced by 10% and then sold it for Rs 15000.

z = y - 10% of y

z = y - 0.10y

z = 0.90y ........2

Substituting equation 1 into 2;

z = 0.90(0.80x)

z = 0.72x

Also z = Rs 15000

So,

z = 0.72x = Rs 15000

0.72x = Rs 15000

x = Rs 15000/0.72

x = Rs 20833.33333333

x = Rs 20,833.33

the value of x is Rs 20,833.33

5 0
3 years ago
Translate the phrase into a variable expression: twice the sum of a number and 5
DIA [1.3K]

Answer:

'Twice the sum of a number and 5' can be translated into variable expression such as:

  • 2(n + 5)

Step-by-step explanation:

Given the phrase

<em>Twice the sum of a number and 5</em>

First, let us breakdown the English Phrase

Let the number be = n

The sum of a number 'n' and 5 = n + 5

now, twice the sum of a number and 5 can be determined by multiplying (n+5) with 5.

Thus,

'<em>Twice the sum of a number and 5</em>' can be translated into variable expression such as:

  • 2(n + 5)
7 0
3 years ago
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