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3 years ago

14

Simplify

ass="latex-formula">
_____________
$\sqrt[3]{4}$

1 answer:

professor190 [17]3 years ago

3 0

Taking the square root of a number means finding a number that when you square it, it equals the number in the square root.

√4 = 2 because 2² = 4

³√4 is already simplified.

Best of Luck!

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The research question is: Do the data provide evidence that the treatments affect the mean LDL level in this population

irina1246 [14]

Answer:

hello your question is incomplete attached below is the complete question

answer : The population mean LDL level after six months is same for all four treatments

Step-by-step explanation:

A null hypothesis represents a no difference in the question. therefore the correct option is The population mean LDL level after six months is same for all four treatments

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3 years ago

Ms. Omar runs the School tennis club. She has a bin of tennis balls and rackets. For every 5 tennis balls in the bin, there are

atroni [7]

Answer:

Step-by-step explanation:

5:3. there are 5 balls, and 3 rackets

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3 years ago

How long does it take to travel 240 km at a constant speed of 12 km/h?

tankabanditka [31]

Answer:

It will take 12 hours

Step-by-step explanation:

Distance equals rate times time

d = rt

We know the distance and the rate

240 = 12 * t

Divide each side by 12

240/12 = 12t/12

20 = t

It will take 12 hours

5 0

4 years ago

You are sitting at the edge of the Grand Canyon admiring the view when you notice a tour group at the bottom of the canyon. You

ololo11 [35]

Answer:

7949.13 feet

Step-by-step explanation:

We are given that,

Angle of depression from the spot to the group = 39°

Height of Grand Canyon = 5000 feet.

So, we will get the following figure of a right triangle.

<em>As, 'in a right triangle, the angles and the sides can be written in trigonometric form'.</em>

We get, $\sin A=\frac{perpendicular}{hypotenuse}$

i.e. $\sin 39=\frac{5000}{x}$

i.e. $x=\frac{5000}{\sin 39}$

i.e. $x=\frac{5000}{0.629}$

i.e. x = 7949.13 feet

Thus, the line of sight distance is 7949.13 feet.

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3 years ago

The statistical difference between a process operating at a 5 sigma level and a process operating at a 6 sigma level is markedly

Svet_ta [14]

Answer:

True

Step-by-step explanation:

A six sigma level has a lower and upper specification limits between $\\ (\mu - 6\sigma)$ and $\\ (\mu + 6\sigma)$ . It means that the probability of finding no defects in a process is, considering 12 significant figures, for values symmetrically covered for standard deviations from the mean of a normal distribution:

$\\ p = F(\mu + 6\sigma) - F(\mu - 6\sigma) = 0.999999998027$

For those with defects <em>operating at a 6 sigma level, </em>the probability is:

$\\ 1 - p = 1 - 0.999999998027 = 0.000000001973$

Similarly, for finding <em>no defects</em> in a 5 sigma level, we have:

$\\ p = F(\mu + 5\sigma) - F(\mu - 5\sigma) = 0.999999426697$ .

The probability of defects is:

$\\ 1 - p = 1 - 0.999999426697 = 0.000000573303$

Well, the defects present in a six sigma level and a five sigma level are, respectively:

$\\ {6\sigma} = 0.000000001973 = 1.973 * 10^{-9} \approx \frac{2}{10^9} \approx \frac{2}{1000000000}$

$\\ {5\sigma} = 0.000000573303 = 5.73303 * 10^{-7} \approx \frac{6}{10^7} \approx \frac{6}{10000000}$

Then, comparing both fractions, we can confirm that a <em>6 sigma level is markedly different when it comes to the number of defects present:</em>

$\\ {6\sigma} \approx \frac{2}{10^9}$ [1]

$\\ {5\sigma} \approx \frac{6}{10^7} = \frac{6}{10^7}*\frac{10^2}{10^2}=\frac{600}{10^9}$ [2]

Comparing [1] and [2], a six sigma process has <em>2 defects per billion</em> opportunities, whereas a five sigma process has <em>600 defects per billion</em> opportunities.

8 0

3 years ago