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Slav-nsk [51]
3 years ago
13

You want to obtain a sample to estimate a population mean. Based on previous evidence, you believe the population standard devia

tion is approximately ?=62.3?=62.3. You would like to be 95% confident that your estimate is within 2 of the true population mean. How large of a sample size is required?
Use a z* value accurate to TWO places for this problem. (Not z = 2)
n =________________.
Mathematics
1 answer:
Vinvika [58]3 years ago
4 0

Answer:

n= 3,727.590 = 3,728

Step-by-step explanation:

Given that,

Population standard deviation, σ=62.3

Margin of error, ME=2

95% confidence interval

The margin of error is defined as:  ME= Z0.05/2 × σ/√n

2 = 1.96×62.3/√n

√n = <u>1.96×62.3</u>

            2

√n = 61.054

n = 3,727.590 = 3,728

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AVprozaik [17]

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7 0
3 years ago
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A sphere has a volume of 288 Pi in^3. Find the surface area of the sphere
lorasvet [3.4K]

Answer:

Step-by-step explanation:

The formula for determining the volume of a sphere is expressed as

Volume = (4/3) × πr³

The volume of the given sphere is expressed as 288π inches³. It means that

(4/3) × πr³ = 288π

4r³/3 = 288

4r³ = 3 × 288 = 864

r³ = 864/4 = 216

Taking cube root of both sides, it becomes

r = 6

The formula for determining the surface area of a sphere is expressed as

Area = 4πr²

π = 3.14

Therefore,

Surface area = 4 × 3.14 × 6² = 452.16 inches²

7 0
3 years ago
Please help I need it asap!!!!! The equation of line k is y=ax+b. Which could be the equation of line l?
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Answer:

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Step-by-step explanation:

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3 0
2 years ago
In 2013, the moose population in a park was measured to be 5,100. By 2018, the population was measured again to be 5,200. If the
natka813 [3]

Answer:

P(t) = 5100e^{0.0039t}

Step-by-step explanation:

The exponential model for the population in t years after 2013 is given by:

P(t) = P(0)e^{rt}

In which P(0) is the population in 2013 and r is the growth rate.

In 2013, the moose population in a park was measured to be 5,100

This means that P(0) = 5100

So

P(t) = 5100e^{rt}

By 2018, the population was measured again to be 5,200.

2018 is 2018-2013 = 5 years after 2013.

So this means that P(5) = 5200.

We use this to find r.

P(t) = 5100e^{rt}

5200 = 5100e^{5r}

e^{5r} = \frac{52}{51}

\ln{e^{5r}} = \ln{\frac{52}{51}}

5r = \ln{\frac{52}{51}}

r = \frac{\ln{\frac{52}{51}}}{5}

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So the equation for the moose population is:

P(t) = 5100e^{0.0039t}

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3 years ago
What causes an electric charge to jump from your hand to a metal object?
meriva

Answer:

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this can be explained because the human body has natural medals in that attract negative and positive charges just like metal.

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