Hi, 

mathematically or on a sketch:  (5,-5) is out

5,-5

1,1)  D = sqrt(4^2 + -6^2)= sqrt(52)

5,-5

5,1  D = sqrt(0 + -6^2) = 6

 

Hi, 

Just thought the 365 may be a typo.

 4,6,8,9,10,10,12,37,40,365

As is: Yes! Good work!!

 mean = 50.1

median 10

mode  10

Midrange = (4 + 365)/2 = 184.5

 

Hi

Approximately 80% of American households have a computer.  9 households are randomly selected.

Using Stattrek.com Binomial Calculator

P(at least 6) = .9144

P(at most 3) = .0031

A stockbroker gains 3 new accounts, on average, in a week’s time. 

What is the probability that he gains 15 new accounts in the next 4 weeks

Using Stattrek.com Poison Probablity Calculator

 P(15;12) = .0724

 

Hi, 

Bob takes 3 hours to paint a room  and Linda 5 hours to paint a room

Let x represent the time it would take them together

PER hour is KEY

 1/3 + 1/5 = 1/x        |Multiplying thru by 15x so as all denominators = 1

   5x + 3x = 15

     8x = 15

      x = 15/8 hrs  or 2 7/8 hrs

 

Hi, 

If you walk 2.0 miles, turn right and walk due west for 2.1 miles, 

how far are you from the place you started

(as measured along a straight line between the starting point and ending point)

Draw a picture in Your mind or on paper of the right triangle formed

  = far are you from the place you started = 2.9 mi

 

Hi, 

There are 37 bills 

Let x and (37-x) represent the number of $5 and $1 bills respectively

Question states***total of the bills is $141.00

  5x + (37-x) = 141

     4x = 104

      x = 26, number of $5 bills.  There are 11 $1 bills



 $5*26 + $11 = $141

 

Hi, 

Solving the Inequality for x

x-7>-4

  x > 3   ||Adding 7 to both sides of the Inequality Sign



Note: solving an Inequality for x is much like solving when there is an =sign...

EXCEPT when multiplying or dividing by a minus number, that reverses the direction of the Inequality sign

Ex:  -2x < 4    ||Dividing both sides of the Inequality Sign by -2

      x > -2

 

Hi, 

f(x)=2x -8  

f(3)=2(3) -8 = 

The idea is to use the value for x given... to find the value of the function for that x-value

 

Hi, 

Solve the system of equations by graphing. Then classify the item.

 y=-x-8 Pt(0,8) and (-8,0)

9x-8y=-21 Pt (0,21/8) and (-21/9,0)

Plot Pts ,connect with respective lines.

Lines Intersect at Pt(5,-3) system is Independent



A consistent system has at least one solution.

An inconsistent system has no solutions.

An independent system has exactly one solution. ****

A dependent system has infinitely many solutions.

 

Hi, 

Solve the system of equations by graphing. Then classify the item.

 3u+v=4 Pt(0,4) and (4/3,0)

 3u=v+8 Pt (0,-8) and (8/3,0)

Plot Pts ,c onnect with respective lines.

Lines Intersect at Pt(2,-2) system is Independent



A consistent system has at least one solution.

An inconsistent system has no solutions.

An independent system has exactly one solution. ****

A dependent system has infinitely many solutions.

 

Hi, 

83 average in algebra 2.

eoct ( end of course test), counts as 20% of his final grade. he made a 76.

after the (eoct) is averaged in:

 .80*83 + .20*76 = 81.6%

 

Hi, 

x=1/16 y^2 or 16x = y^2 || This is a parabola opening 'right' Axis of symmetry is y = 0

 4p = 16,  p = 4 , focal pt(4,0)  directrix is x = -4, 

 

Hi, 



The idea is to get the j terms on one side of the Equal sign

  v(j-8q) = 9j

  vj - 8qv = 9j

    vj-9j = 8qv

   j(v-9) = 8qv

     j = 8qv/(v-9)  

 

Hi, 

5y+2z+2+(8y+z+6) = 5y+2z+2+8y+z+6 = 13y + 3z + 8 

 

Hi, 

 x^2/4^2 + y^2/2^2 = 1

 

Hi, Previously Posted

What percentage of the area of the standard normal distribution is between z = -2.00 and z = +2.00? 

two standard deviations from the mean account for about 95.45%

 P(-2< z <2 ) = NORMSDIST(2) - NORMSDIST(-2) = .97725 - .02275 = .9545 OR 95.45%

 

Hi, Previously Posted

What percentage of the area of the standard normal distribution is between z = -2.00 and z = +2.00? 

two standard deviations from the mean account for about 95.45%

 P(-2< z <2 ) = NORMSDIST(2) - NORMSDIST(-2) = .97725 - .02275 = .9545 OR 95.45%

 

Hi, 

What percentage of the area of the standard normal distribution is between z = -2.00 and z = +2.00? 

two standard deviations from the mean account for about 95.45%

 P(-2< z <2 ) = NORMSDIST(2) - NORMSDIST(-2) = .97725 - .02275 = .9545 OR 95.45%

 

Hi, 

In General 

A = Accumulated Amount Double

P= principal = 2800

r= annual rate = .08

n= periods per year = 4

t= years = 

long does it take a $2800 investment to double if it's invested at 8% compounded quarterly



  ln2= 4tln(1.02)

 ln2/4ln(1.02) = t = 8.75yrs

 

Hi, 



secθ= 

 cosθ = 1/ = adj/hyp = b/h  AND a = 2  

 sinθ = opp/hyp =  2/

 cscθ  = /2

 tanθ = sinθ/cosθ = 2

 

Hi

   4^2 = 2a, a = 8

  



Note: 8^y = 2^3  OR  , 3y = 3, y = 1

 

Hi, 

In General 

A = Accumulated Amount

P= principal = 3600

r= annual rate = .05

n= periods per year = 1

t= years = 5



 

 

Hi, 

choosing ...1 of 4 backgrounds ,1 of 7 photos,and 1 of 6 text colors.

How many choices:  = 

 

Hi, 

A poll of 490 college students showed that 33% of them had, or intended to, cheat on examination

Find the margin of error for the 95% confidence interval.

ME = 1.96

 

Hi, 

349 teachers and a sample of 110 of them 66 have doctorates

sample of 110 of them 66 have doctorates

 66/110 = .60 or 60% having doctorates (40% w/o in the sample)

 349(.40) = 139.6 0r ~140 w/o a doctorate  of the 349 teachers

 

Hi, 

40 data:

Note: Q1 was (1/4)40 or P25 .25(40) = 10 (8.3 the cut-off for the lower 25%)

Finding P95:  .95(40) = 38

  P95 is 14.7  

 

Hi, 

Estimate the mean study time of all students taking an exam

18,7,10 ,13,12,16,5,20,21

18+7+10+13+12+16+5+20+21=122  Yes!

 mean = 122/9 = 13.6 hr,  Rounded to the nearest tenth of an hour



5,7,10,12,,16,18,20,21 (median 13)

 

 

Hi, 



Hyperbola opening right and left, C(-3,0) Vertices(-7,0) & (1,0)

 sqrt(16+9) = sqrt(25)= 5  Foci(-8,0) and (2,0)

 

Hi, 

the number of cells in a tumor doubles every three months (1/4) Yr

Supposing the tumor stars as a single cell, 

how many cells will there be after 3 years if this rate is maintained? 

  cells after  years =  = 4096

OR = 1*e^((ln2/3)*36)

 

Hi,

 acid rain measured to have a pH of 2.5 & typical rain with a pH of about 6...

(how many times more is the typical rain)

   2.5 = 2 1/2 = 5/2

       x = 6(2/5)= 12/5

      2 1/2 times more acidic

 

Hi, Re Your TY. Note typo...TY! The idea of the question was to solve the

Inequality for X. No hidden agenda.

10X - 500 < 5,000 

determines the maximum number of gallons of water that flow out in a 10 minute period, what is X?

Solving the Inequality for X

10X - 500 < 5,000 

   10X < 

     X < 550,  Maximum Gallons of water that flow out in a 10 minute period