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Dafna1 [17]
3 years ago
7

It is known that 5% of the population over the age of 30 in a city is a university graduate. Among the 100 people chosen randoml

y; a) Possibility to be 5 university graduates b) What is the likelihood of never being a university graduate?
Mathematics
1 answer:
Novosadov [1.4K]3 years ago
5 0

Answer:

A) 1/3200000

B) 19/20

Step-by-step explanation:

Percentage population of graduates = 5

Proportion of graduates from 100 random samples = percentage × number of samples

Proportion of graduates = 0.05 × 100 = 5

Probability of having 5 graduates among the 100 random samples:

P(1 graduate) = possible outcome / total required outcome

P(1 graduate) = (5 / 100) = 1/20

P(5 graduates) = (1/20)^5

P(5 graduates) = 1/3200000

Probability of never being a graduate = (1 - probability of being a graduate)

Probability of never being a graduate = ( 1 - (1/20)) = 19/20

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Which equations represent exponential growth? Which equations represent exponential decay? Drag the choices into the boxes to co
Norma-Jean [14]

Answer:

Exponential growth functions are:

A=20000(1.08)^{t}

A=40(3)^{t}

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Exponential decay functions are:

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Step-by-step explanation:

Given:

An exponential function is of the form y=ab^{x}, where, a\ne 0.

Now, if a > 0 and b > 1, then the exponential function represent exponential growth.

If a > 0 and 0 < b < 1, then the exponential function represent exponential  decay.

Let us check each function now.

Option 1: A=20000(1.08)^{t}

Here, a = 20000, b = 1.08

As 1.08 > 1, the function is exponential growth.

Option 2: A=80(\frac{1}{2})^{t}=80(0.5)^{t}

Here, a = 80, b = 0.50

As 0.5 < 1, the function is exponential decay.

Option 3: A=1600(0.8)^{t}

Here, a = 1600, b = 0.8

As 0.8 < 1, the function is exponential decay.

Option 4: A=40(3)^{t}

Here, a = 40, b = 3

As 3 > 1, the function is exponential growth.

Option 5: A=1700(1.07)^{t}

Here, a = 1700, b = 1.07

As 1.07 > 1, the function is exponential growth.

Option 6: A=1700(0.93)^{t}

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As 0.93 < 1, the function is exponential decay.

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3 years ago
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Answer:

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Step-by-step explanation:

its pretty simple...

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Answer:

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