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sleet_krkn [62]
3 years ago
11

How do we simplify square roots??

Mathematics
2 answers:
Alisiya [41]3 years ago
6 0

Take the square root of the numerator and the denominator Simplify.

Kipish [7]3 years ago
4 0
To simplify a square root: make the number inside the square root as small as possible (but still a whole number):
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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
3 years ago
(x^5 y)/(x^2 y^6) please help i dont understand this
Dvinal [7]

Answer:

x³/y⁵

Simplify the expression.

5 0
3 years ago
When does the graph of a quadratic function open upward of downward
sveticcg [70]
It opens upward when X is an even power. It would be for X squared or X raised to the 4th power.

6 0
3 years ago
Popcorn kernels pop independently (i.e. unimolecularly). For one brand at constant temperature, 12 kernels pop in 5 seconds when
likoan [24]

Answer:

no of kernels  pop = 4.34

Step-by-step explanation:

given data

kernels pop in 5 second  = 12

kernels are present = 235

solution

we get here kernels are pop at rate of here

kernels are pop at rate = 12  ÷  235  

kernels are pop at rate = 0.051063

and

we get here maximum kernels are remaining that is

maximum kernels remaining = 235 - 140

maximum kernels remaining = 85

so

no of kernels  pop in 5 second will be

no of kernels  pop = 0.051063   × 85

no of kernels  pop = 4.34

7 0
4 years ago
How to factor a polynomial in the form p^2-m^2 <br><br> HELP!!
lilavasa [31]

Answer: if you are going to put it like p^2-m^2 no one going to have that answer so I need the p and the m like for example the p=5 and the m=4

Step-by-step explanation: so it going to be like

Evaluate for m=4,p=5

5^2−4^2

=9

So I can’t answer how you put it

6 0
3 years ago
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