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3 years ago

Geometrical prove that limit X tends to zero sin x by X equals to 1 various is measured in radian

Mathematics

1 answer:

11111nata11111 [884]3 years ago

7 0

$lim \frac{ \sin(x) }{x} = 1 \\$

It is true only whenever x tends to 0(zero)

it is not importent that x be in radian or in degree.

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A group of 8 friends (5 girls and 3 boys) plans to watch a movie, but they have only 5 tickets. If they randomly decide who will

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Answer:

D. 0.821

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

The combinations formula is important to solve this question:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

Desired outcomes

The order is not important. For example, Elisa, Laura and Roze is the same outcome as Roze, Elisa and Laura. This is why we use the combinations formula.

At least 3 girls.

3 girls

3 girls from a set of 5 and 2 boys from a set of 3. So

$C_{5,3}*C_{3,2} = 30$

4 girls

4 girls from a set of 5 and 1 boy from a set of 3. So

$C_{5,4}*C_{3,1} = 15$

5 girls

5 girls from a set of 5

$C_{5,5} = 1$

$D = 30+15+1 = 46$

Total outcomes

5 from a set of 8. So

$T = C_{8,5} = 56$

Probability

$P = \frac{D}{T} = \frac{46}{56} = 0.821$

So the correct answer is:

D. 0.821

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3 years ago

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Lorenzo bought 3 pounds of grapes at $2.50 per pound, a gallon of milk for $4.25, and 2 boxes of cereal that originally cost $4

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Answer:

Total = $49.05

Step-by-step explanation:

cost of grapes per pound = $ 2.50

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so cost of 3 pounds of grapes = 3 × 2.50

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Answer:

Step-by-step explanation:

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7. -9 5/8

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9. 1

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Geometrical prove that limit X tends to zero sin x by X equals to 1 various is measured in radian​

Geometrical prove that limit X tends to zero sin x by X equals to 1 various is measured in radian