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pochemuha
2 years ago
6

a barangay has 1000 individuals and its population doubles every 60 years. Give an exponential model for the barangay's populati

on
Mathematics
1 answer:
sdas [7]2 years ago
7 0

Answer:

P(t) = 1000e^(0.01155)t

Step-by-step explanation:

Let the population of barangay be expressed according to the exponential formula;

P(t) = P0e^kt

P(t) is the population of the country after t years

P0 is the initial population

t is the time

If barangay has 1000 initially, this means that P0 = 1000

If the population doubles after 60years then;

at t = 60, P(t) = 2P0

Substitute into the formula

2P0 = P0e^k(60)

2 = e^60k

Apply ln to both sides

ln2 = lne^60k

ln2 = 60k

k = ln2/60

k = 0.01155

Substitute k = 0.01155 and P0 into the expression

P(t) = 1000e^(0.01155)t

Hence an exponential model for barangay's population is

P(t) = 1000e^(0.01155)t

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8 0
2 years ago
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First they reduce their time by t_1=2.1 minutes.

Then they are able to reduce that time by t_2=10

If their final time is 3.96 minutes, then

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7 0
2 years ago
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Answer:

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Step-by-step explanation:

For each Internet browser user, there are only two possible outcomes. Either they use Chrome, or they do not. This means that we can solve this problem using concepts of the binomial probability distribution.

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This is P(X = 8).

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There is a 2.43% probability that exactly 8 of the 20 Internet browser users use Chrome as their Internet browser.

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Either there are less than 3 Chrome users, or there are three or more. The sum of the probabilities of these events is decimal 1. So:

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There is an 80.50% probability that at least 3 of the 20 Internet browsers users use Chrome as their Internet browser.

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We have that, for a binomial experiment:

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The expected number of Chrome users is 4.074.

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So

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The variance for the number of Chrome users is 3.2441.

The standard deviation is the square root of the variance. So

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The standard deviation for the number of Chrome users is 1.8011.

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