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S_A_V [24]
3 years ago
12

What is the sum of StartRoot negative 2 EndRoot and StartRoot negative 18 EndRoot?

Mathematics
1 answer:
Darya [45]3 years ago
3 0

Answer:

4 \sqrt{2} i

Step-by-step explanation:

We want to find the sum of

\sqrt{ - 2}  +  \sqrt{ - 18}

We can rewrite this as

\sqrt{ 2 \times  - 1}  +  \sqrt{ 18 \times  - 1}

This becomes;

\sqrt{2}  \times  \sqrt{ - 1}  +  \sqrt{18}  \times  \sqrt{ - 1}

Recall that;

i =  \sqrt{ - 1}

This implies that;

\sqrt{2} i + 3 \sqrt{2} i

Combine like terms:

4 \sqrt{2} i

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Intravenous fluid bags are filled by an automated filling machine. Assume that the fill volumes of the bags are independent, nor
iren2701 [21]

Answer:

Let X the random variable that represent the heights of a population, and for this case we know the distribution for X is given by:

X \sim N(\mu,0.08)  

Where \mu and \sigma=0.08

Since the distribution for X is normal then the  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 is given by:

SE= \frac{0.08}{\sqrt{24}}= 0.0163

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 Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the heights of a population, and for this case we know the distribution for X is given by:

X \sim N(\mu,0.08)  

Where \mu and \sigma=0.08

Since the distribution for X is normal then the  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 is given by:

SE= \frac{0.08}{\sqrt{24}}= 0.0163

8 0
3 years ago
Simplify: 2log2(8x)
dem82 [27]
Answer is 0.124. I have to right more characters
3 0
3 years ago
Kelly has read 5/6 of a book helen has read 9/12 of the same book who read more of the book?
kupik [55]

Answer:

Kelly has read more of the book

3 0
2 years ago
Which pair of angles shares ray a as a common side
Dennis_Churaev [7]
Answer: Is the last one. D

Hope this helps
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3 years ago
sharia has a full time job and earns 475$ each week but she starts looking for ways to increase her weekly earnings . sharia fin
Arlecino [84]

Answer:

12 hours

Step-by-step explanation:

Full time job:

Earning per week = $475

Part time job :

Earning per hour = $11

Number of working hours per week at per time job to increase weekly earning to atleast $600 ;

Let number of hours = h

Full time earning + earning per hour * (number of hours) ≥ 600

$475 + ($11 * h) ≥ 600

$475 + $11h ≥ 600

11h ≥ 600 - 475

11h ≥ 125

h ≥ 125 / 11

h ≥ 11.36

Hence, sharia will need to work for 12 hours per week

5 0
3 years ago
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