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2 years ago

SOMEONE PLEASE HELP!!

Mathematics

1 answer:

krok68 [10]2 years ago

7 0

It would be the bottom because think if you put 500 in an account and pay it annually you would add it because he's paying annually and that means every time he pays your adding to your account

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A playground is being designed where children can interact with their friends in certain combinations. If there is 1 child, ther

mariarad [96]

<h2>Answer:</h2>

Recursive equation for the pattern followed is given by,

$a_{n}=a_{n-1}+(n-1)^{2}$

<h2>Step-by-step explanation:</h2>

In the question,

The number of interaction for 1 child = 0

Number of interactions for 2 children = 1

Number of interactions for 3 children = 5

Number of interaction for 4 children = 14

So,

We need to find out the pattern for the recursive equation for the given conditions.

So,

We see that,

$a_{1}=0\\a_{2}=1\\a_{3}=5\\a_{4}=14\\$

Therefore, on checking, we observe that,

$a_{n}=a_{n-1}+(n-1)^{2}$

On checking the equation at the given values of 'n' of, 1, 2, 3 and 4.

At,

n = 1

$a_{n}=a_{n-1}+(n-1)^{2}\\a_{1}=a_{1-1}+(1-1)^{2}\\a_{1}=0+0=0\\a_{1}=0$

which is true.

At,

n = 2

$a_{n}=a_{n-1}+(n-1)^{2}\\a_{2}=a_{2-1}+(2-1)^{2}\\a_{2}=a_{1}+1\\a_{2}=1$

Which is also true.

At,

n = 3

$a_{n}=a_{n-1}+(n-1)^{2}\\a_{3}=a_{3-1}+(3-1)^{2}\\a_{3}=a_{2}+4\\a_{3}=5$

Which is true.

At,

n = 4

$a_{n}=a_{n-1}+(n-1)^{2}\\a_{4}=a_{4-1}+(4-1)^{2}\\a_{4}=a_{3}+9\\a_{4}=14$

This is also true at the given value of 'n'.

Therefore, the recursive equation for the pattern followed is given by,

$a_{n}=a_{n-1}+(n-1)^{2}$

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2 years ago

Brian flips a fair coin 3 times. What is the probability of getting exactly 1 tail?

Leya [2.2K]

Answer:

1/3

Step-by-step

he flips the coin three time and there is one side so 1/3

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2 years ago

If the measure of one interior angle of a regular polygon is 144 degrees, find

Dmitrij [34]

There are 10 sides becuase the equation set up is $\frac{180(n-2)}{n}$ and equal it to 144.

Solve for n and get 10

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2 years ago

Write the number 10 as a fraction

liq [111]

Answer:10/1

Step-by-step explanation:

Any number can become a fraction by adding a number underneath

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2 years ago

What is the means-to-MAD ratio of the two data sets, expressed as a decimal? Data set Mean Mean absolute deviation (MAD) 1 10.3

aleksklad [387]

Mean -to-MAD ratio is the division of the Mean by the Mean Absolute Deviaion (MAD). For the set 1, mean / MAD is 10.3 / 1. 6 = 6.4375; and for the set 2, Mean / MAD is: 12.7 / 1.5 = 8.467. This is a measure of disperssion of a set of values. MAD is calculated as the sum of the absolute differences of the values and the mean.

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2 years ago