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xeze [42]
3 years ago
6

Alicia rolls two fair number cubes numbered from 1 to 6. She first defines the sample space, as shown below:

Mathematics
2 answers:
denis-greek [22]3 years ago
8 0
I think the answer is 8/36 but i am not sure
Vladimir79 [104]3 years ago
6 0

Answer:

The answer is actually 6/36 - C

Step-by-step explanation:

I took the test and got it right

You might be interested in
Given ; 2(10-13x)+9x=-34x+60
rewona [7]

Try comparing your solution with the following:

Solution:

2(10-13x)+9x=-34x+60\\(20-26x)+9x=-34x+60\\20-26x+9x=-34x+60\\20-17x=-34x+60\\20-60=-34x+17x\\-40=-17x\\x=\frac{40}{17}

Answer:

x=\frac{40}{17}

Check:

2[10-13(\frac{40}{17})]+9(\frac{40}{17})=-34(\frac{40}{17})+60\\-20=-20

<em>Hope this was helpful.</em>

3 0
3 years ago
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
If there are 32 boys and 16 girls in a room, fill out all of the possible ratios of boys to girls that could be made.
Flauer [41]

Answer:

1)   1:2

 

2)   2:4  

3)   4:8  

4)   8:16  

5)   16:32

4 0
2 years ago
Read 2 more answers
7th grade math help lol
ELEN [110]

Step-by-step explanation:

F and C, I think those are the only ones

7 0
3 years ago
Marty says the probability of the high school team winning the hockey game is 35%.
babunello [35]

Answer:

Karim

Step-by-step explanation:

1. Turn 2/5 into a percentage by multiplying the numerator and denominators of 2/5 with 20 so the new fraction's denominator can be 100.

2. Your new fraction should be 40/100 also known as 40%.

3. Compare who's probability is more likely.

4. The answer will be (40%) Karim's.

6 0
3 years ago
Read 2 more answers
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