Hi,

 

Hi,

12% of 50   is 

 

Hi,

The difference of x and a number is 6

Question states***

 x - n = 6    || Adding n and subtracting 6 from both sides of EQ

  x-6 = n

 

Hi,

C=5/9(F-32)

(9/5)C= F-32

 

Hi,

A batch of 200 calculators contains 3 defective calculators. 

sample of three calculators

# of ways this sample can have no defective calculators? 

# of ways this sample can have all defective calculators? 

# of ways this sample can have AT LEAST one defective calculators? 

 - 

 

Hi,

 

Hi,

 

Hi,

   |Multiplying thru by 12 so as all denominators = 1

    4(x+9) - 3(x-4) = 12(x-8)  || Solve for x

 

Hi,

A rectangle is 2 feet wide and 3 feet long. A =

Each side is increased by the same amount to give a rectangle with twice the area of the original one.

Question states***

 (x+2)(x+3) = 12

 x^2 + 5x + 6 = 12

 x^2 + 5x - 6 = 0

(x + 6) = 0

  (x-1) = 0

     x = 1  (throwing out negative solution for unit measurement)

New rectangle is 3ft by 4ft

         

 

Hi,

16 men to build a wall 80 metres long in 10days ⇒ 8m/day 0r 64m in 8days

80-64 = 16, 16+10 = 26m must be built in 2 days. 

@man can build 1/2m per day or 1m in 2 days.

Would take 26 men working 2 days for the 26m needed. 

 more men must be engaged to complete the work within the agreed time

 

Hi,

f(x)=2x-7 

f(-2) = 

 

Hi,

Working 8 hours a day, 24 men do a piece of work in 15 days

how many days it would take 16 men working 9 hours a day



     || Solve for x

 

Hi,

bisect the segment connecting A(4,-3) and B(-6,4)

Midpoint of AB: Midpoint  Pt(x,y):  ( , )

A(3,4)

B(-3,-2)  Midpoint (0,1)



Psub1(-4,6),

Psub2(2,-3)  Midpoint (-1,3/2) 

 

Hi,

bisect the segment connecting A(4,-3) and B(-6,4)

Midpoint of AB: Midpoint  Pt(x,y):  ( , )

A(4,-3) and 

B(-6,4)    Midpoint (-1,.5)

 

Hi,

triangle with vertices A(3,8) B(7,2) and C(0,1), find the length of the median drawn to the side BC

Midpoint of BC: Midpoint  Pt(x,y):  ( , )

B(7,2) and 

C(0,1) Midpoint (3.5,1.5)

the length of the median:

Distance:  D = 

(3.5,1.5)

(3,8)      D = 

 

Hi,

Note: Center of the Circle is at the Midpoint of this diameter 

endpoints of the diameter are:

 Midpoint Pt(x,y):  ( , )

A(1/2,5) and 

B(-2/3,-1/2)   Midpoint (-1/12, 9/4)

 

Hi,

-16y+52=-2x^2-8x-y^2

2x^2+8x+y^2-16y = -52

2(x+2)^2 + (y-8)^2 = -52 + 8 + 64

2(x+2)^2 + (y-8)^2 = 20



Standard Form of an Equation of an Ellipse is  

where Pt(h,k) is the center

 

Hi,

42 children, 2/3 of the children were boys ⇒  28 boys and  14 girls

Each boy received the same number of stickers, girls 

Question states***840 stickers

  28x + 14·2x = 840

     56x = 840

       x = 15, number of tickets each boy had.  Each girl had 30 tickets.

and...

 

 

Hi,

   simple interest

 2500/10000 = 5r

  500/10000 = r = .05%

 

 

Hi,

Independent Events

P(heads) = 1/2   (experiment has a total of 2 possible outcomes)

P(5) = 1/6       (experiment has a total of 6 possible outcomes)

P(heads 'and' 5) = 

 

Hi,

  where  k = .00012 (assume this is the k You are using)

 

  

 

 

 

Hi,

(4a-3)^2

(4a-3)(4a-3) = 16a^2 - 24a + 9

When using FOIL, the 'middle'term is the sum of the outside and inside products

F	First terms    16a^2

O	Outside terms  -12a

I	Inside terms   -12a

L	Last terms  (-3)(-3) = 9

 

Hi,

"PEMDAS", "Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction".

2(1/4 +1/3)+2   || Parentheses: 

  ||Multiplication

  || Addition 

 

Hi,

each pair of jeans cost 2/3 as much as each shirt 

shirt cost:  x

jean cost: 

Question states***bought 3 pairs of jeans and 5 shirts for $441

 

       7x = $441

        x = $63, shirt cost.  Jean cost is $42

and...

 

Hi,

Re: TY, w/o capability of using Your own calculator, the only option would be using an on-line site like the following, 

which is relatively uncomplicated calculator to enter the information given:

http://stattrek.com/online-calculator/binomial.aspx 

 P(x = 2) = .0988  (rounding to 4 decimal places)

 P(x≥ 2) = .1184

Important thing to understand is with only 5% having a mild side effct...

Probability of even 2 out of 12 people having a side effect is very small.



This is a case of Bionomial Probability Distribution

Note: The probability of x successes in n trials is: 

P = nCx*  where p and q are the probabilities of success and failure respectively. 

this case p = .05 & q = .95  and n = 12

nCx = 

 P(x = 2) = 12C2(.05)^2(.95)^10   0r binompdf(12,.05,2) using TI83

 P(x ≥ 2) = 1- P(x <2) = 1-P(0) - P(1)   

          0r 1 - binomcdf(12,.05,1) using TI83

 

Hi,

if 3/5 of the a square is 135cm2 what is the area of the square?

Question states***

 

     

       A = 225 cm^2

 

 

Hi,

The sum of two numbersand  is 64 and the difference is 6

Question states***

  x + y = 64

  x - y = 6    || Adding the EQs to eliminate y

    2x = 70

     x = 35  and y = 29      

 

 

Hi,

the vertex form of a Parabola opening right(a>0) or left(a<0), 

 where(h,k) is the vertex and  y = k  is the Line of Symmetry

The standard form is , where  the focus is (h +p,k )

parabola with its vertex at (-1, 2) and its focus at (4, 2) 

, ,  p = 5,  4p = 20

,  

 

Hi,

Shandrell received 16 less than three times as many votes as Marisa's 

Marisa's :  x

Shandrell's:  3x-16 

Question states***1308 votes cast

  x + (3x-16) = 1308

       4x = 1324

        x = 331, Marisa's vote.  Shandrell had 977.

and...