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kati45 [8]
3 years ago
7

There were 137 adult dusky gopher frogs in 2014. The number of adult dusky gopher frogs has grown about 9% per year since then.

Predict the number of adult dusky gopher frogs in 2022
Mathematics
1 answer:
Neporo4naja [7]3 years ago
4 0

Answer:

273 frogs.

Step-by-step explanation:

The equation of growth in the number of frogs N = 137(1.09)^t where t is the time in years.

The year 2022 is 8 years after 2014 so the prediction for N in 2022 is:

N = 137(1.09)^8 = 273.

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A recent survey of 50 executives who were laid off during a recent recession revealed it took a mean of 26 weeks for them to fin
drek231 [11]

Answer:

The pvalue of 0.0113 < 0.05 means that there is sufficient evidence to conclude that the mean time to find another position is less than 28 weeks at the 5% level of significance

Step-by-step explanation:

The null hypothesis is:

H_{0} = 28

The alternate hypotesis is:

H_{1} < 28

The test statistic is:

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

In which X is the sample mean, \mu is the value tested at the null hypothesis, \sigma is the standard deviation and n is the size of the sample.

A recent survey of 50 executives who were laid off during a recent recession revealed it took a mean of 26 weeks for them to find another position.

This means that n = 50, X = 26

Assume the population standard deviation is 6.2 weeks.

This means that \sigma = 6.2

Does the data provide sufficient evidence to conclude that the mean time to find another position is less than 28 weeks at the 5% level of significance

We have to find the pvalue of Z, looking at the z-table, when \mu = 28. It if is lower than 0.05, it provides evidence.

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

z = \frac{26 - 28}{\frac{6.2}{\sqrt{50}}}

z = -2.28

z = -2.28 has a pvalue of 0.0113 < 0.05.

The pvalue of 0.0113 < 0.05 means that there is sufficient evidence to conclude that the mean time to find another position is less than 28 weeks at the 5% level of significance

5 0
2 years ago
<img src="https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B4%7D%20x%20%5Cgeq%20x-12" id="TexFormula1" title="\frac{3}{4} x \geq x-12" al
olganol [36]

Answer

12

3/4=9/x

3x=9(4)

3x=36

x=36/3

x=12

7 0
3 years ago
A cube has a surface area of 96 square centimeters. How long is each face of the cube?
netineya [11]

Answer:

I believe the answer would be 4

Step-by-step explanation:

I'm going to use (a) to represent the side length in my explanation. side length is equivalent to the square root of the surface area over 6. The 6 is coming from there being 6 faces on a cube. So to solve this equation, you would first write it out.  a=96/6. Next you would divide 96/6, giving you 16. and then lastly, you would find the square root of 16, which is 4. giving you a final answer of 4.

Hope this helps, and you understand it more!

6 0
3 years ago
Mr. Gill is draining his pool. The pump he is using changes the water level by −2 1/4 inches per hour. A stronger pump would dra
professor190 [17]

Answer:

-5.625 in/hour

Step-by-step explanation:

−2 1/4 * 2 1/2 = -5.625 in/hour

7 0
3 years ago
100 points!!! Whoever answers this question correctly, I will give you 100 points on my second question. If you can't use the an
Paha777 [63]

Answer:

ummmm Tupac

Step-by-step explanation:

7 0
3 years ago
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