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Korvikt [17]
3 years ago
7

140,000 invested in a business. Joe and Matt invested in a 2:5 ratio. How much does each person have invested.

Mathematics
1 answer:
Liula [17]3 years ago
8 0
You have to divide 140,000 by 7 to get the base number of 20,000. You then multiply it by 2 and 5 for each respective person. Joe invested 40,000 and Matt invested 100,000.
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2 years ago
The only contents of a container are 10 disks that are each numbered with a different positive integer from 1 through 10, inclus
allsm [11]

First we calculate for the total number of possibilities (permutation) to select 4 disks from the container:

Total number of possibilities = 10 * 9 * 8 * 7

Total number of possibilities = 5040

<span>
Now let us find the 4 disks that will result in a range of 7. </span>

Range = highest number – lowest number

The pair of highest and lowest number that will result in range of 7 is: (1 & 8), (2 & 9), (3 & 10)

 

As a basis of calculation, let us use the pair 1 & 8.

There are four possible ways to select 1 and three for 8.

Arrangements of maximum and minimum pair = 4 * 3

Arrangements of maximum and minimum pair=12

Now we need to calculate for the remaining 2 disk. There are 6 numbers between 1 & 8. The total possibilities for selecting 2 disk from the remaining 6 is:

Possibilities of selecting 2 disk from remaining 6 = 6 * 5

Possibilities of selecting 2 disk from remaining 6 = 30

Therefore, the total possibility to get a range of 7 from a pair of 1 & 8 is:

Total possibility for a pair = 12 * 30

Total possibility for a pair = 360

 

Since there are a total of three pairs (1 & 8), (2 & 9), (3 & 10):

Total possibilities of the 3 pairs = 360 * 3

Total possibilities of the 3 pairs = 1080

 

Therefore:

Probability = Total possibilities of the 3 pairs / Total number of possibilities

<span>Probability = 1080 / 5040 = 3 / 14                      (FINAL ANSWER)</span>

6 0
3 years ago
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Answer:

Original price is 11.25

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
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