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2 years ago

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A company had 80 employees whose salaries are summarized in the frequency distribution below. Find the standard deviation. A fre

quency distribution has two columns labeled from left to right "Salary (dollars)" and "Employees". The entry pairs in each row are given as follows, where the salary is listed first and the number of employees is listed second: 5001 to 10,000, 19; 10,001 to 15,000, 14; 15,001 to 20,000, 12; 20,001 to 25,000, 16; 25,001 to 30,000, 19.

2 answers:

JulsSmile [24]2 years ago

7 0

Answer:

SD = 7588.09

Step-by-step explanation:

Check the distribution table attached to for the step by step solution:

The formula for the mean, $\bar{x} = \frac{\sum fx}{\sum f}$

$\bar {x} = \frac{1410040}{80} \\\bar {x} = 17625.5$

The variance , $V(X) = \sqrt{\frac{\sum f(x - \bar{x}^2)}{n-1} }$

$V(X) = \frac{4548750000}{80 - 1} \\V(X) = 57579113.92$

Standard Deviation,

$SD = \sqrt{V(X)} \\SD = \sqrt{57579113.92}$

SD = 7588.09

OLEGan [10]2 years ago

4 0

Answer: The standard deviation is 7540.52

Step-by-step explanation:

The working is shown in the attached photo.

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-3^(-x)-6=-3^x+10<br><br>Solve the equation below for x by graphing plz

vitfil [10]

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I would like to solve it by using math and not graphing
if you don't want to see the math, just don't scroll down
the graphical meathod is above, first line, just read it

hmm
multiply both sides by -1
$3^{-x}+6=3^x-10$
multiply both sides by $3^x$
$3^0+6(3^x)=3^{2x}-10(3^x)$
$1+6(3^x)=3^{2x}-10(3^x)$
minus 1 from both sides and minus 6(3^x) from both sides
$0=3^{2x}-16(3^x)-1$
use u subsitution
$u=3^x$
we can rewrite it as
$0=u^2-16u-1$
now factor
I mean use quadratic formula
for $ax^2+bx+c=0$ $x=\frac{-b+/-\sqrt{b^2-4ac}}{2a}$
so for 0=u^2-16u-1, a=1, b=-16, c=-1
$u=\frac{-(-16)+/-\sqrt{(-16)^2-4(1)(-1)}{2(1)}$
$u=8+/-\sqrt{65}$
remember that u=3^x so u>0
if we have u=8+√65, it's fine, but u=8-√65 is negative and not allowed
so therfor
$u=8+\sqrt{65}=3^x$
$8+\sqrt{65}=3^x$
if you take the log base 3 of both sides you get
$log_3(8+\sqrt{65})=x$
if you use ln then
$ln(8+\sqrt{65})=xln(3)$
then
$\frac{ln(8+\sqrt{65})}{ln(3)}=x$

8 0

2 years ago

Read 2 more answers

In circle O, tangent MN and secant MPQ are drawn to the circle from exterior point M. If MP = 6 and PQ = 8 then which of the fol

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Step-by-step explanation:

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2 years ago

A circle with radius of \greenD{4\,\text{cm}}4cmstart color #1fab54, 4, start text, c, m, end text, end color #1fab54 sits insid

mario62 [17]

Answer:

The area of the shaded region is $329.87\ cm^2$

Step-by-step explanation:

<u><em>The correct question is</em></u>

A circle with radius of 4cm sits inside a circle with a radius of 11cm. What is the area of the shaded region?

The shaded region is the area outside the smaller circle and inside the larger circle

we know that

To find out the shaded region subtract the area of the smaller circle from the area of the larger circle

so

$A=\pi r_a^{2} -\pi r_b^{2}$

simplify

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