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Annette [7]
2 years ago
13

A clerical worker takes 4 times as long to finish a job as it does an executive secretary. Working together, it takes them 4 hr

to finish the job. How long
the clerical worker, working alone, to finish the job?

Mathematics
1 answer:
aleksandrvk [35]2 years ago
8 0

Answer:

\frac{5}{16} hours or 18\frac{3}{4} minutes

Step-by-step explanation:

\frac{1}{x} +\frac{1}{4x}= 4\\\\\frac{4}{4x}+\frac{1}{4x}   =4\\\\\frac{5}{4x} =4\\\\5=16x\\\\x=\frac{5}{16}

Calculating into minutes.

60*\frac{5}{16}=\\\\\frac{300}{16}  =\\\\18\frac{3}{4}

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Suppose that you were not given the sample mean and sample standard deviation and instead you were given a list of data for the
Troyanec [42]

Answer:

So, the sample mean is 31.3.

So, the sample standard deviation is 6.98.

Step-by-step explanation:

We have a list of data for the speeds (in miles per hour) of the 20 vehicles. So, N=20.

We calculate the sample mean :

\mu=\frac{19 +19 +22 +24 +25 +27 +28+ 37 +35 +30+ 37+ 36+ 39+ 40+ 43+ 30+ 31+ 36+ 33+ 35}{20}\\\\\mu=\frac{626}{20}\\\\\mu=31.3

So, the sample mean is 31.3.

We use the formula for a sample standard deviation:

\sigma=\sqrt{\frac{1}{N-1}\sum_{i=1}^{N}(x_i-\mu)^2}

Now, we calculate the sum

\sum_{i=1}^{20}(x_i-31.3)^2=(19-31.3)^2+(19-31.3)^2+(22-31.3)^2+(24-31.3)^2+(25-31.3)^2+(27-31.3)^2+(28-31.3)^2+(37-31.3)^2+(35-31.3)^2+(30-31.3)^2+(37-31.3)^2+(36-31.3)^2+(39-31.3)^2+(40-31.3)^2+(43-31.3)^2+(30-31.3)^2+(31-31.3)^2+(36-31.3)^2+(33-31.3)^2+(35-31.3)^2\\\\\sum_{i=1}^{20}(x_i-31.3})^2=926.2\\

Therefore, we get

\sigma=\sqrt{\frac{1}{N-1}\sum_{i=1}^{N}(x_i-\mu)^2}\\\\\sigma=\sqrt{\frac{1}{19}\cdot926.2}\\\\\sigma=6.98

So, the sample standard deviation is 6.98.

3 0
3 years ago
اا<br><img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B29%7D%20" id="TexFormula1" title=" \sqrt{29} " alt=" \sqrt{29} " align="abs
RSB [31]

Answer:5.385164807

Step-by-step explanation:

3 0
3 years ago
What is x in the equation28=8+5x?
mote1985 [20]

Answer:


Step-by-step explanation:

28=8+5x

20=5x

=4

four is your answer

5 0
4 years ago
Round 15.033 to the nearest hundredth.
insens350 [35]

Answer:

15.03

Step-by-step explanation:

4 0
4 years ago
15 POINTS
Liono4ka [1.6K]

Answer:

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And the more I straighten out

The less it wants to try

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One wink at a time

Oh oh

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For what you stand to gain

Just know that if you hide

It doesn't go away

When you get out of bed

Don't end up stranded

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My little dark age

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Oh oh

I grieve in stereo

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My little dark age

I grieve in stereo

The stereo sounds strange

You know that if it hides

It doesn't go away

If I get out of bed

You'll see me standing all alone

Horrified

On the stage

My little dark age

Giddy with delight

Seeing what's to come

The image of the dead

Dead ends in my mind

Policemen swear to God

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I know my friends and I

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Bring a stone

All the rage

My little dark age

I grieve in stereo

The stereo sounds strange

I know that if you hide

It doesn't go away

If you get out of bed

And find me standing all alone

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My little dark age

All alone

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Step-by-step explanation:

7 0
3 years ago
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