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DochEvi [55]
3 years ago
6

54; 18; 76; 42; 76; and 46 mean: median: mode:

Mathematics
1 answer:
Leokris [45]3 years ago
4 0
To work out the mean, add them all up and divide by however many values there are:

(18+54+42+(76x2)+46) / 6 = 52

To work out the median, order them  from largest to smallest or vice versa and find the middlest value.

18, 42, 46, 54, 76 ,76

(46 + 54) / 2 = 50

The mode is the most frequently occurring number, so it would be 76. 

Hope I helped!<span />
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In the arithmetic sequence t1, t2, t3, . . . , tn, . . . , t1 = 23 and tn = tn – 1 – 3 for each n &gt; 1. What is the value of n
elena-14-01-66 [18.8K]

An arithmetic sequence is a string of numbers that is produced by repeatedly applying a certain arithmetic operation, in this case the string of numbers t_{1} , t_{2}, t_{3}, ..., t_{n}, ... is thus determined, the first term t_{1} is equivalent to number 23 and each next term, t_{n} with n>1 (i.e. t_{2} , t_{3}, t_{4}, ...) is calculated using the given formula t_{n}= t_{n-1} -3, so the next term in the sequence, t_{2}  will be:

t_{2}= t_{1}-3\\ t_{2}= 23-3 = 20

in the same way the following terms are calculated

t_{3} = t_{2}-3\\t_{3} = 20-3 = 17\\t_{4} = t_{3}-3\\t_{4} = 17-3 = 14\\...\\t_{9} = t_{8}-3\\t_{9} = 2-3 = -1\\t_{10} = t_{9}-3\\t_{10} = -1-3 = -4

Another way to achieve this is to use the formula to calculate the terms t_{n}, note that:

t_{2} = t_{1}-3\\t_{3} = t_{2}-3 = (t_{1}-3) -3 = t_{1}-6\\t_{4} = t_{3}-3 = (t_{1}-6) -3 = t_{1}-9=t_{1}-3(3)\\t_{5} = t_{4}-3 = (t_{1}-9) -3 = t_{1}-12=t_{1}-3(4)

So, as you see each tn becomes t_{1} minus a multiple of -3, or what is the same:

t_{n}= t_{1} -3 (n-1)\\t_{n}= 23-3 (n-1)

Replacing the desired value

23-3 (n-1)=-4\\23 + 4 = 3 (n-1)\\27 = 3 (n-1)\\27/3 = (n-1)9 = n-1\\n = 10

Answer

the value of n when t_{n} =-4 is n=10, t_{10}

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Hope this helps

Have a great day/night

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Answer:

Step-by-step explanation:

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Having some trouble with this question, any help? A wire supporting a radio tower is secured to the ground 14 m from the base of
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By using what we know about right triangles, we will see that the height is 11.7 m.

<h3>How to find the height of the tower?</h3>

We can view this as a right triangle, such that the wire is the hypotenuse of said triangle.

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The height of the tower is 11.7 meters.

If you want to learn more about right triangles, you can read:

brainly.com/question/2217700

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Answer:

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Step-by-step explanation:

i am pretty sure this is correct

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