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Galina-37 [17]
3 years ago
14

Find the median of these numbers:4,2,7,4,3 *

Mathematics
2 answers:
marshall27 [118]3 years ago
8 0

Answer:

4

Step-by-step explanation:

<u>median:</u> the middle value. to find this, arrange your numbers in order from least to greatest and find the one in the middle. if there are two in the middle, add them and then divide by 2.

4, 2, 7, 4, 3 → 2, 3, 4, 4, 7

since 4 is in the middle, that is your answer

sattari [20]3 years ago
3 0

Answer:

The Median of those numbers is 4

Step-by-step explanation:

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It is desired to pile some logs in layers so that the top layer contains one log, the next layer contains two logs, the next lay
Hitman42 [59]

Answer:

Yes all of the logs can be used in such a grouping.

We'll have <u>19 logs</u> in the bottom row (and have 19 rows)

========================================================

Explanation:

Let n be the number of layers. Let T(n) represent how many logs there are total.

  • If you have 1 layer, then you have 1 log. So we can say that T(1) = 1.
  • If there are n = 2 layers, then we have 1 log on top of two other logs, which leads to 1+2 = 3 logs total. This shows that T(2) = 3.
  • If there are n = 3 layers, then we have 1 log on top of 2 which are on top of 3 at the very bottom. We have 1+2+3 = 6 logs total. So T(3) = 6.
  • Having n = 4 layers gives 1+2+3+4 = 10 logs. So T(4) = 10
  • Having n = 5 layers gives 1+2+3+4+5 = 15 logs. So T(5) = 15

This process continues for however long you like. The sequence 1,3,6,10,15 is the set of triangular numbers, since the logs form a triangular or pyramid shape when stacked this way. To get the nth value in the triangular number sequence, use this formula

T(n) = 0.5*n*(n+1)

---------------

For example, let's say we wanted to find how many logs there were in the fifth layer

T(n) = 0.5*n*(n+1)

T(5) = 0.5*5*(5+1)

T(5) = 15

This matches from earlier.

The purpose of bringing in a formula is to see if we can get T(n) = 190 for some integer n.

-------------------

T(n) = 0.5*n*(n+1)

190 = 0.5*n*(n+1)

190*2 = n(n+1)

380 = n^2+n

0 = n^2+n-380

n^2+n-180 = 0

Applying the quadratic formula will lead to the two solutions: n = -20 and n = 19. We ignore the negative value of n as we can't have a negative number of rows. Therefore, n = 19 is the only valid solution here.

If we wanted to stack 190 logs in this triangular pyramid fashion, then we'll need to have 19 rows. The bottom row will have 19 logs.

----------

Check:

1+2+3+4+5+6+7+8+9+10 = 55

11+12+13+14+15+16+17+18+19 = 135

55+135 = 190

Or you could say,

T(n) = 0.5*n*(n+1)

T(19) = 0.5*19*(19+1)

T(19) = 190

Either way, the answer is confirmed.

8 0
2 years ago
Select the expression that shows the application of the distributive property for
sergeinik [125]

Answer:

c. 9t+45 that shows distributive property

where it shows a*(b+c)=(a*b)+(b*c).so,9(t+5)=9*t+9*5

8 0
2 years ago
How can I solve the Jose moped question because I am confused?
lana [24]

Answer:

BRuh just send jose to the cleaners

Step-by-step explanation:

3 0
3 years ago
I have 15 hundreds, 14 tens, 3 ones, 7 tenths, and 16 hundredths. what number am I
garri49 [273]
15,000 + 140 + 3 + .7 + .16 = 15,143.86 hope this helps
3 0
3 years ago
Help please answer really quick. I really need help. ( Math )
EleoNora [17]

Answer:

0.25 lbs

<h3>Explanation </h3>

You can translate the 1/2 a pound into 0.5lbs, which is equivalent. Then, this is the easier part. Sarah divides the clay into <u>t</u><u>w</u><u>o</u> equal pieces. This is asking you to halve 0.5lbs. The answer being 0.25lbs

5 0
3 years ago
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