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grandymaker [24]
3 years ago
7

Population growth is: A) Logarithmic B) Linear C) Exponential Please help ASAP!!! :(

Mathematics
1 answer:
Monica [59]3 years ago
6 0

For this case we have that by definition the growth of a population is a function of the form:

f (x) = a (b) ^ x

Where,

  • <em>a: initial population </em>
  • <em>b: growth rate </em>
  • <em>x: number of years </em>

We observe then that the function is of the exponential type.

Answer:

C) Exponential

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An accounting firm is planning for the next tax preparation season. From last years returns, the firm collects a systematic rand
Elena L [17]

Answer:

a)From the central limit theorem we know that the distribution for the sample mean \bar X is given by:

\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})

And the standard error for the mean would be:

\sigma_{\bar X}= \frac{140}{\sqrt{100}} =14

b) We want this probability:

P(\bar X >120)

And we can use the z score formula given by:

z = \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}

And replacing we got:

z = \frac{120-90}{\frac{140}{\sqrt{100}}}= 2.143

And we can find this probability with the complement rule and the normal standard deviation or excel and we got:

P( z>2.143) = 1-P(Z

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".  

The central limit theorem states that "if we have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed. This will hold true regardless of whether the source population is normal or skewed, provided the sample size is sufficiently large".

Solution to the problem

Part a

From the central limit theorem we know that the distribution for the sample mean \bar X is given by:

\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})

And the standard error for the mean would be:

\sigma_{\bar X}= \frac{140}{\sqrt{100}} =14

Part b

We want this probability:

P(\bar X >120)

And we can use the z score formula given by:

z = \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}

And replacing we got:

z = \frac{120-90}{\frac{140}{\sqrt{100}}}= 2.143

And we can find this probability with the complement rule and the normal standard deviation or excel and we got:

P( z>2.143) = 1-P(Z

4 0
3 years ago
Jefferson is plotting the vertices of an isosceles right triangle on a coordinate graph. He has plotted the two points shown. Wh
DENIUS [597]

Answer: (-2 -9)

Step-by-step explanation:

Have no time

3 0
3 years ago
The value in dollars,v(x),of a certain truck after x years is represented by the equation v(x)=32,500(0.92)^x.To the nearest dol
Vika [28.1K]

Answer: $2193

Step-by-step explanation:

v(x) = 32,500(.92)^{x}

Plug two and three in for x

v(2) = 32,500(.92)^{2}

v(2) = 32,500(.8464)

v(2) = 27,500

v(3) = 32,500(.92)^{3}

v(3) = 32,500(.778688)

v(3) = 25,307.36

Subtract v(3) from v(2)

27,500 - 25,307.36 = 2192.64

Round to the nearest dollar to get $2193

7 0
3 years ago
Below are the data collected from to random samples of 100 members of a large travel club regarding the type of vacation they pr
deff fn [24]
More members prefer a beach vacation and a ski vacation than a cruise vacation



6 0
3 years ago
What is the final amount if 931 is decreased by 1% followed by a 1% increase?
earnstyle [38]

Answer:

930.91

Step-by-step explanation:

931 x 99% = 921.69

921.69 x 101% = 930.9069

8 0
3 years ago
Read 2 more answers
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