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Pani-rosa [81]
1 year ago
8

The set $\{2, 4, 6, \dots, n\}$ contains the positive consecutive even integers from 2 through $n$. When one of the integers fro

m the set is removed, the average of the remaining integers in the set is 28. What is the least possible value of $n$
Mathematics
1 answer:
Vsevolod [243]1 year ago
7 0

The least possible value of n is 27.

According to the statement

We have given that the set which is {2,4,6,8.....n} and and one set is removed from them the average of remaining integers is 28.

Then

Firstly set contain n numbers

But after that set contain n-1 numbers after removal of 1 digit from them.

and average value of remaining digit is 28 then 28th term become after removal is

28th term =28*2

28th term = 56.

then

we use the formula to calculate n

n-1 =28

then the value of n become 27.

the least possible value of n is 27.

So, The least possible value of n is 27.

Learn more about Sets here brainly.com/question/2166579

#SPJ4

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zlopas [31]

Answer:

it is 3

Step-by-step explanation:

3×3487+7+7+8+8+8++7+7

5 0
2 years ago
Determine whether the sequence is geometric. If so, find the common ratio. 3.0, 6.0, 12.0, 24.0
Luba_88 [7]

Answer:

The sequence <u>is</u> geometric and the common ratio is 2

Step-by-step explanation:

A sequence is geometric if each term  (after the first one) is equal to the term before it times some constant number, called the 'common ratio'.

Examples:  1, 2, 4, 8, 16, ... has a common ratio of 2 because 2*2 = 4, and 4*2 = 8, and so on.

                 Also, -->  4, 2, 1, 1/2, 1/4/ 1/8, ... has a common ratio of 1/2 because

4 * 1/2 =  the next term 2, and 2 * 1/2 = the next trem 1/4, and son on.

In this case, 3 * 2 = 6

                    6 * 2 = 12

                    12 * 2 = 24

The sequence <u>is</u> geometric and the common ratio is 2

6 0
2 years ago
Solve the problem:
stepan [7]

volume of the box is 675 cubic inches

A machine produces open boxes using square sheets of plastic.

It is a square sheet so length and width are same

Lets assume length as x so width is also x

The machine cuts equal-sized squares measuring 3 inches on a side from each corner of the sheet.

After turning up the sides the height of the box becomes 3 inches

We know the volume of a box formula

Volume = Length * width * height

We know length is  x , width is x  and height = 3

So V = x * x * 3

Given volume = 675 cubic inches

675 = x * x * 3

675 = x^2* 3

Divide by 3 on both sides

225 = x^2

Now we take square root on both sides

x = 15

the length of one side of the open box is 15 inches.



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1.0x10 to the fifth :)
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