All Answers 358189 Answers

Yay! Thanks so much, CPhill! 

The first fold results  in  the side of 11  being divided in half....so....we have the the dimensions

8.5  x  5.5

The second fold results in the side of 8.5 being divided in half...so...we have the dimensions

4.25 x  5.5

So....the longest side is   5.5 in

Thanks CPhill!

Let Lena's normal hourly rate = R

34R + 4[1.5R] = 320, solve for R

34R + 6R = 320

40R =320         divide both sides by 40

R = 320 / 40

R = 8 pounds - Lena's normal hourly rate.

See my corrected answer, CHB....

Let the radius of the small circle  be r

Let the radius of the larger circle be R

45°  = pi/4  in rads          36°  =  pi/5   in rads

And the arc length, S, of the smalller circle can be expressed as

S  = r(pi/4)

But this is equal to the arc length of the larger circle that can be expressed as

S  = R(pi/5)

So....this implies that

r(pi/4)   = R(pi/5

r/4  = R/5                solve for R

R = (5/4)r  

So....the area of the smaller circle is   

pi * r^2        (1)

And the area of the larger circle is

pi * R^2  =  pi * [ (5/4)r ]^2   = pi (25/16)r^2    (2)

So....the ratio of the area of the smaller circle to the larger circle is just   (1)  / (2)  =

[ pi* r^2 ]  / [pi * (25/16) r^2 ] =

16  / 25

Wow, thanks so much, EP! 

Thanks so much, EP!

http://geology.isu.edu/wapi/geostac/Field_Exercise/topomaps/bearing.htm

36 (1-3/4) = 9 pies with none of ingredients is highest possible

FV=500000

PV= ?

i=.05

n=10

FV=PV(1+i)^n 

500,000 =  PV (1.05)^10          PV= $306,956.63    

OR

1.5 = 25% of x

1.5=0.25x

1.5/0.25=x

x=6

1. y = 2x^2 + x - 1

    y = -x - 3

2. y = -2x^2 - 2x + 3

    y = 7/2

can you help me find the speed of the airplane?

\(\begin{array}{|rcll|} \hline \vec{P} &=& \binom{300}{0} \\ \vec{W} &=& \binom{-35\cdot \cos(75^{\circ})} {-35\cdot \sin(75^{\circ})} \\\\ \vec{R} &=& \vec{P} + \vec{W} \\ &=& \binom{300}{0} + \binom{-35\cdot \cos(75^{\circ})} {-35\cdot \sin(75^{\circ})} \\ &=& \binom{300-35\cdot \cos(75^{\circ})}{-35\cdot \sin(75^{\circ})} \\ &=& \binom{300-9.05866657859}{-33.8074039201} \\ &=& \binom{290.941333421}{-33.8074039201} \\\\ |\vec{R}| &=& \sqrt{290.941333421^2+(-33.8074039201)^2} \\ &=& \sqrt{84646.8594930+1142.94055982} \\ &=& \sqrt{85,789.8000528} \\ &=& 292.898958777 \\ \hline \end{array}\)

The resulting speed of the airplane is \( 292.9\ \dfrac{km}{h}\)

Simplify 25 percent to a decimal. 0.25

1.50 / 0.25 would equal to 6. 

And, additionally, I have to say that you left out the x next to the first 5 in the ceiling. I still don't know if it is infinity or just 6..

@CPhill, call me CHB from now on. It must hurt fingers to type it all out :D

Good for you!

5.  This is pretty easy, NSS........

18  9   7   5   11   7  17  20  19   2   17   12   5   1   13   12    11   15   16   20

Order data from low-to-high...there are 20 values

1  2   5  5  7   7   9    11  11   12  12   13  15   16   17    17    18    19     20   20

To find the 30th percentile....multiply  .30 * 20    =  6    (this is the index)

The 6th number in the data set  is   7

Similary...to find the 90th percentile......multiply  .90 * 20   =  18    (this is the index )

The 18th number in the data set is 19

So.....the first answer is correct     

(BTW....there may be several  other acceptable  ways to do this )

2. The outlier is  38

Look at the graph here, Creeperhissboom :

Apparently..from the graph..the  range is   ([ 0, .2, .4, .6, .8,  1 )

CORRECTED ANSWER

15  13    9   9   7    1  11    10   13    1    13

Order the data

1   1    7     9    9    10    11     13    13     13     15

Mean  =  Sum of the Values  / Number of Values  =  102 / 11  =  9.27  = 9.3  

Median  =   Value in the middle =  10

Mode =  The value that appears the most often  =  13

The third answer is correct

Here's 4

24  18  29  21 16  23 13  11

First step...order the data  from lowest to highest

11 13 16  18     21  23  24  29

Find the median of the data  =  (18 + 21)/2     =  39/2  =  19.5    = Q2

Find Q1 =    (13+16) / 2 = 29/2  =  14.5

Find Q3  =   (23 + 24)/2 = 47/2 = 23.5

The first answer is correct