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Semenov [28]
3 years ago
10

The circumference of a circle is about 37.7 cm and the diameter is about 12 cm. What expression best represents the value of π ?

Question 3 options: 6/37.7 12/37.7 37.7/6 37.7/12
Mathematics
1 answer:
Yakvenalex [24]3 years ago
6 0

Answer:

Step-by-step explanation:

Circumference of a circle means the perimeter of a circle and it is given be

Perimeter=2πr

P=2πr

Though π is a constant

But this question want us to find π

Make π the subject of the formula

Then, divide both side by

π=P/2r

Given that P=37.7cm

And diameter =12

And radius is half of diameter.

Therefore, radius =12/2=6cm

Then

π=P/2r

π=37.7/2×6

π=37.7/12.

Then, the last option is the correct option

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For this case we have the following expression:

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Applying distributive property to the terms within parentheses we have:

36-4.5x + 36 = 102-7.5x-60

We add similar terms on both sides of equality considering that:

Equal signs are added and the same sign is placed.

Different signs are subtracted and the major sign is placed.

72-4.5x = 42-7.5x

We add 7.5x to both sides of equality:

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We subtract 72 from both sides of equality:

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We divide between 3 on both sides of equality

x = -10

ANswer:

Distributive property

Add similar terms

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Brilliant_brown [7]

Answer:

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Step-by-step explanation:

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The average lifetime of a certain new cell phone is 3.4 years. The manufacturer will replace any cell phone failing within three
melisa1 [442]

Answer:

68% of these phones last 3.87 years.

Step-by-step explanation:

Exponential distribution:

The exponential probability distribution, with mean m, is described by the following equation:

f(x) = \mu e^{-\mu x}

In which \mu = \frac{1}{m} is the decay parameter.

The probability that x is lower or equal to a is given by:

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P(X \leq x) = 1 - e^{-\mu x}

The probability of finding a value higher than x is:

P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}

The average lifetime of a certain new cell phone is 3.4 years.

This means that m = 3.4, \mu = \frac{1}{3.4} = 0.2941

So

P(X \leq x) = 1 - e^{-0.2941x}

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This is x for which:

P(X \leq x) = 0.68

P(X \leq x) = 1 - e^{-0.2941x}

Then

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