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PSYCHO15rus [73]
3 years ago
12

Prove that n^2 > 2n + 1 for all natural numbers n >= 3

Mathematics
1 answer:
mafiozo [28]3 years ago
7 0

{n}^{2}  - 2n - 1 > 0
n = 3 >  > 9 - 6 - 1 = 2 > 0
suppose the following is true
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A machine is used to fill 1-liter bottles of a type of soft drink. We can assume that the output of the machine approximately fo
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Answer:

1.00434

Step-by-step explanation:

Given the following :

Given a normal distribution ;

Mean (m) = 1.0 liter

Standard deviation (σ) = 0.01 liter

Sample size (n) = 25

For 97% sample means (sm) = 0.97

Z = (m - sm) / s

Zcrit = 1 - (100% - 97%)/2

Zcrit = 1 - (0.03/2)

Zcrit = 1 - 0.015 = 0.985

The z score which corresponds to 0.985 = 2.17

Upper limit : m + z*(σ/√n)

Upper limit : 1.0 + 2.17*(0.01/√25)

Upper limit : 1. 0 + 2.17*(0.01/5)

= 1.0 + 2.17*0.002

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3 years ago
Which property is (3x5)x2 and 3x(5x2)
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Distribty propety is the answer
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3 years ago
A number with the same value as 32
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32*10=320 Hope you like and rate
3 0
3 years ago
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A jar contains 0.85 liter of strawberry juice and 0.50 liter of mango juice. Celina poured 0.15 liter of watermelon juice into t
steposvetlana [31]

Original-drank+added=result

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A. see above

B. addition and subtraction facts

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3 years ago
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Enlarge the triangle by scale factor -1/3 with centre (-1,2)
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Answer:

All the sides of the triangle X'Y'Z' are twice as long as the sides of the original triangle XYZ. The triangle XYZ has been enlarged by a scale factor of 2.

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All the sides of the triangle X'Y'Z' are twice as long as the sides of the original triangle XYZ. The triangle XYZ has been enlarged by a scale factor of 2.Enlargement is an example of a transformation. A transformation is a way of changing the size or position of a shape.To enlarge a shape, a centre of enlargement is required. When a shape is enlarged from a centre of enlargement, the distances from the centre to each point are multiplied by the scale factor.

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5 0
3 years ago
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