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Fittoniya [83]
3 years ago
6

Which number is rational , square root 2 , pi , square root 10 or square 16

Mathematics
2 answers:
melamori03 [73]3 years ago
8 0

The square root of 16 is rational.

vova2212 [387]3 years ago
4 0

Answer: The only rational number in your list is "square 16" - I am assuming you mean square root of 16.

Explanation:

Square root of 2 is irrational. This has been proven by the Pythagoreans (there is a simple proof of that).

pi is also known to be irrational although the proof is a bit more demanding.

Square root of 10 can be written as a product of square root of 5 and square root of 2, which themselves are irrational. Any product involving an irrational number is irrational

Square root of 16 = 4. 4 can be written as a fraction 4/1, or 8/2, 16/4, etc. and therefore is rational by definition.

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Which of the following is the final step in bisecting a line segment?
yulyashka [42]

Answer:

B) Mark the intersection points of the arcs, and draw a line through those two points.

5 0
3 years ago
1. Abbie is going out for pizza with her friends. For $60 total, they can buy p pizzas. Each
SCORPION-xisa [38]

Answer:

5 pizzas

12p=60

Step-by-step explanation: just divide 60 by 12 and then you get 5

6 0
2 years ago
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
SOMEONE PLEASEEEEEE HELPPPPP ASAPPPP I NEED THE ANSWER
yulyashka [42]

Answer:

34° is the closest to the record high in degree Fahrenheit ⇒ C

Step-by-step explanation:

∵ The formula F = \frac{9}{5} C + 32 is used to convert the temperature from

    degrees Celsius (C) to degree Fahrenheit (F)

∵ The high temperature in Chicago is 1° Celsius

→ Substitute C in the formula above by 1

∴ F = \frac{9}{5} (1) + 32

∴ F =  \frac{9}{5}  + 32

∴ F = 33.8°

→ Round it to the nearest degree Fahrenheit

∴ F ≅ 34°

∴ 34° is the closest to the record high in degree Fahrenheit

7 0
3 years ago
How much more is 1.8 • 10^11 greater than 7.2 • 10^10
Rasek [7]

Answer:

1.8.10=1.80000000000

7.2.10=7.2000000000

Step-by-step explanation:

6 0
3 years ago
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