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irina [24]
3 years ago
9

Can someone please answer ASAP !!

Mathematics
1 answer:
Leya [2.2K]3 years ago
5 0
Not for 5 points sorry
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A phycologist is interested in determining the proportion of algae samples from a local rivulet that belong to a particular phyl
LuckyWell [14K]

Answer:

A sample of 16577 is required.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the z-score that has a p-value of 1 - \frac{\alpha}{2}.

The margin of error is of:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

99% confidence level

So \alpha = 0.01, z is the value of Z that has a p-value of 1 - \frac{0.01}{2} = 0.995, so Z = 2.575.

She wants to estimate the proportion using a 99% confidence interval with a margin of error of at most 0.01. How large a sample size would be required?

We have no estimation for the proportion, and thus we use \pi = 0.5, which is when the largest sample size will be needed.

The sample size is n for which M = 0.01. So

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.01 = 2.575\sqrt{\frac{0.5*0.5}{n}}

0.01\sqrt{n} = 2.575*0.5

\sqrt{n} = \frac{2.575*0.5}{0.01}

(\sqrt{n})^2 = (\frac{2.575*0.5}{0.01})^2

n = 16576.6

Rounding up:

A sample of 16577 is required.

8 0
2 years ago
LoneWolves or anyone plz help me with this math question! I promise I'll mark u brainliest for the absolute right ANSWER
jeyben [28]

Answer:

8 ft^2

Step-by-step explanation:

\frac{h1}{2ft} =\frac{h2}{3ft} \\\\

area of ABC is:

A= \frac{(3ft)(h2)}{2}

area of ABC is 18 square ft, then

h2 = \frac{(area)(2)}{3ft} = \frac{(18 ft^2)(2)}{3ft} =12ft

now you can find h1 and the area for EFG

6 0
2 years ago
Read 2 more answers
A carpenter charges $720 for 18 hours of work. She charges the same amount of money for each hour of work.
Rainbow [258]

Answer:

A

Step-by-step explanation:

To start off, you know 18 hours= 720

So you could automatically get rid of B and D since 19 and 17 are not 18.

After that, you have it down to A and C. The way you would find how much she charges for one hour is dividing 720 by 18. When you do that it means you are divding 720$ into 18 different groups each group representing an hour. When you divide 720 by 18 you should get 40. So every hour she makes 40 dollars. 40x 2 hours is 80. I hope I helped you!

3 0
2 years ago
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The figure below is the graph of the dimensions of a rectangle whose adjacent side lengths exhibit inverse variation.
cricket20 [7]

Answer:

The answer is true just answered

6 0
3 years ago
Read 2 more answers
Two consecutive even whole numbers have a product of 360. What is the smaller of the<br> two number?
Fed [463]

Answer:

let one even number be N

and another even number be N(N+2)

N(N+2)=360

n^2+2n-360=0

n^2+20n-18n-360=0

value of N= -20 ,18

but -20 not accepted

smaller number 18

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
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