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3 years ago

Oose the situation which would best be modeled by an exponential decay function.

Mathematics

1 answer:

alexandr1967 [171]3 years ago

6 0

Answer:

The following would be best modeled by an exponential decay function

A.) An island is being eroded away and loses 10% of its beachfront every year.

D.) A machine depreciates (loses value) by $1000 in its first year, by $2000 in its second, $3000 in its third, etc.

Step-by-step explanation:

The following would be best modeled by an exponential decay function

A.) An island is being eroded away and loses 10% of its beachfront every year.

D.) A machine depreciates (loses value) by $1000 in its first year, by $2000 in its second, $3000 in its third, etc.

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For a 95% confidence interval what would the sample size need to be as it's most conservative to have a 2% margin of error

aleksley [76]

Answer:

The size of the sample 'n' = 2401

Step-by-step explanation:

Step:1

Given that the margin of error = 2 % = 0.02

The margin of error is determined by

$M.E = \frac{Z_{0.05} \sqrt{p(1-p)} }{\sqrt{n} }$

we know that the proportion

$\sqrt{p(1-p)} < \frac{1}{2}$

Step:2

The margin of error is determined by

$0.02 = \frac{1.96( \frac{1}{2} ) }{\sqrt{n} }$

$\sqrt{n} = \frac{1.96}{2 X 0.02}$

√n = 49

Squaring on both sides, we get

n = 49 × 49

n = 2401

Final answer:-

The size of the sample 'n' = 2401

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3 years ago

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horsena [70]

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3 years ago

What is the value of x

il63 [147K]

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3 years ago

Alex wants to have $3000 in his bank account after 4 years. If the account earns 6% interest compounded 2 times per year, how mu

lesantik [10]

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3 years ago

Read 2 more answers

Can anybody help me with this

kondaur [170]

Answer:

c ≈ 9.1 m

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides , that is

c² = 4.1² + 8.1² = 16.81 + 65.61 = 82.42 ( take square root of both sides )

c = $\sqrt{82.42 }$ ≈ 9.1 m ( to the nearest tenth )

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2 years ago