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seropon [69]
3 years ago
8

The population of Nevada could be modeled by the function P(t) = 2.02(1.036)t , where P(t) is in millions of people and t is in

years since 2015. Use this function, we can predict that the average population of Nevada between the years 2015 and 2020 is________.
Mathematics
1 answer:
Serggg [28]3 years ago
7 0

Answer: The average population of Nevada between the years 2015 and 2020 is 2.41 million

Step-by-step explanation:

The population of Nevada could be modeled by the function

P(t) = 2.02(1.036)^t ,

where P(t) is in millions of people and t is in years since 2015.

The number of years, t between 2020 and 2015 is 2020 - 2015 = 5

To predict the average population of Nevada between the years 2015 and 2020, we will substitute t = 5 into the given function. It becomes

P(t) = 2.02(1.036)^5 = 2.41 million

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3 years ago
An article in USA Today stated that Internal surveys paid for by directory assistance providers show that even the most accurate
MariettaO [177]

Answer:

a. 11.26 % b. 6.76 %. It appears so since 6.76 % ≠ 15 %

Step-by-step explanation:

a. This is a binomial probability.

Let q = probability of giving out wrong number = 15 % = 0.15

p = probability of not giving out wrong number = 1 - q = 1 - 0.15 = 0.75

For a binomial probability, P(x) = ⁿCₓqˣpⁿ⁻ˣ. With n = 10 and x = 1, the probability of getting a number wrong P(x = 1) = ¹⁰C₁q¹p¹⁰⁻¹

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= 0.1126

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b. At most one wrong is P(x ≤ 1) = P(0) + P(1)

= ¹⁰C₀q⁰p¹⁰⁻⁰ + ¹⁰C₁q¹p¹⁰⁻¹

= 1 × 1 × (0.75)¹⁰ + 10(0.15)(0.75)⁹

= 0.0563 + 0.01126

= 0.06756

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Since the probability of at most one wrong number i got P(x ≤ 1) = 6.76 % ≠ 15 % the original probability of at most one are not equal, it thus appears that the original probability of 15 % is wrong.

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3 years ago
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