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Natali [406]
4 years ago
14

A town's population has been growing linearly. In 2003, the population was 65000, and the population has been growing by 1700 pe

ople each year.
Write an equation for the population x years after 2003.

P(X)=?
Mathematics
1 answer:
Virty [35]4 years ago
7 0
Since X represents the number of years and the population consistently increases by 1700 each year the equation would be 65000 + 1700X
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Can earn 5 coins
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sergiy2304 [10]

Answer:

a) 0.0523 = 5.23%

b) 0.9477 = 94.77%

c) 0.2242 = 22.42%

d) YES

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This situation could be modeled with a binomial distribution where

The probability of getting exactly k “successes” in n trials is given by  

P(X=k)=\binom{n}{k}p^k(1-p)^{n-k}

Where p is the probability of “success”.

In this case we can assume that “success” is the fact that the household interviewed is tuned to Found.  

So, p=0.19 and n = 14 (the households interviewed).

a)

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P(X=0)=\binom{14}{0}0.19^0(0.81)^{14}=0.0523=5.23\%

b)

The probability that at least one household is tuned to Found is  

1- P(X=0) = 1-0.0523 = 0.9477 = 94.77%

c)

The probability that at most one household is tuned to Found is  P(X=0)+P(X=1)

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d)

According to this sample, the probability that more than one household is tuned to Found would be 100%-22.42% = 77.58%, so it does appear that the 19% share value is wrong.

3 0
4 years ago
What is the approximate circumference of a circle with a diameter of 400 inches?
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5 0
3 years ago
A pile of 55 coins, consisting of nickels and dimes, is worth $3.90. find the number of each.
Lady_Fox [76]
Answer is: 32 nickels and 23 dimes.
<span>x - number of nickels .
y -number of dimes.
two equations in two unknowns:
1) x + y = 55
2) 0,05x + 0,1y = 3,90.
</span>nickel is a five-cent coin.
dime is a ten-cent coin.<span>
solve equation 1) for x and substitute for x in equation 2)
x = 55 - y
0,05</span>·(55 - y) + 0,1y = 3,90<span>2,75 - 0,05y + 0,1y = 3,90
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y = 23.
x = 55 - 23 = 32.</span>
5 0
4 years ago
Read 2 more answers
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