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zavuch27 [327]
3 years ago
13

Derek wants to construct a square box stall for each horse that is to be housed in a stable. He wants all of the box stalls to h

ave the same length on a side. Derek has a total area of 20,250 square feet in which to construct the box stalls. The equation for the side length, x, of a box stall in terms of the number of horses, n, the stable wants to house is x = √. If each box stall is 9 feet long on a side, the stable can house horses.
Mathematics
1 answer:
ale4655 [162]3 years ago
8 0
The total area of the stable is 20,250 sq. ft.

Let n = total number of box stalls.

Each box stall is a square of length 9 ft.
Total area  = 9^2n = 81n ft².
Therefore
81n = 20250
n = 20250/81 = 250

Answer: 250 horses.

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If i have three rolls of a dice and for the first and second you choose to either keep your roll or keep going, what is the best
AleksAgata [21]

Answer:

  • On the first roll, we keep a result of 5 or 6, and roll again if it is 4 or lower
  • On the second roll, we keep any result equal or greater that 4 and we roll again for 1,2 or 3
  • We keep anything we obtained from the third row

The expected value is 14/3 = 4.666

Step-by-step explanation:

When you throw a roll the expected value is 3.5 (the average of 1,2,3,4,5 and 6). This means that any roll with value 3 or below is worth changing, because the expected value will transform into 3.5 from the 3 or less you had before.

This means that in your second roll you will keep the result as long as it is 4 or more and you will roll once more if it is 3 or less, hence, you can

  • get a 4, 5 and 6 on your second roll and keep it, so that your value is that number
  • get 1, 2 or 3 on your second roll and roll again, with an expected value of 3.5.

Rolling a third time has a probability of 3/6 = 0.5, obtaining a 4 has a probability of 1/6, same for 5 and 6. Thus, the expected value from the second roll onwards is

1/2 * 3.5 + 1/6 * 4 + 1/6 * 5 + 1/6 * 6 = 4.25

This means that, after the first roll, we can keep that value or throw again with an expected value of 4.25 (using the strategy depicted above). We can roll again if we got a result of 4 or below expecting a higher value or keep a result of 5 or 6.

The strategy can be ssummarized as follows

  • On the first roll, we keep a result of 5 or 6, and roll again if it is 4 or lower
  • On the second roll, we keep any result equal or greater that 4 and we roll again for 1,2 or 3
  • We keep anything we obtained from the third row

The probability of getting 4 or below is 4/6 = 2/3, and the expected value for the second roll onwards is 4.25, hence the expected value of the strategy we pick is

1/6 * 5 + 1/6*6 + 2/3* 4.25 = 4.666 = 14/3

8 0
3 years ago
55% of what number is 70? Round to the nearest tenth.
umka2103 [35]
55% of x is 70
0.55 times x=70
divide both sides by 0.55
127.27272727
round
127.3
5 0
3 years ago
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MAXImum [283]

The answer is x=34 degrees.

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3 years ago
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|3 + x| = 5<br> Solve for x
bearhunter [10]

Answer:

x = - 8 , x = 2

Step-by-step explanation:

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To Work Out Questions Like The First One That Reads : 3/10 Of 250, All You Have To Do Is Simply Divide 250 By The Denominator, Which Is 10 In This Case And The Multiply It By The Numerator (3). Answer ~ 250 Divided By 10 = 25 X 3 = 75 I Hope That Helps, And If You Are Stuck Of Any Other Types Of These Questions, Feel Free To Ask Me
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