Hi,

Using the standard slope-intercept form for an equation of a line y = mx + b

  where m is the slope and b the y-intercept.



  m = 1/3 and y-intercept is 3/2

 

Hi,

P(not a sum of 6) = 31/36

Odds of not a sum of 6 are 31:5

___1_2_3__4__5__6

1|_2_3_4__5__6__7

2|_3_4_5__6__7__8

3|_4_5_6__7__8__9

4|_5_6_7__8__9_10

5|_6_7_8__9_10_11

6|_7_8_9_10_11_12

 

Hi,

Find the product:

 (1/4x^2 - 2/7)(-1/2x - 1/2) 

using FOIL

F	First terms  -1/8 x^3 =   

O	Outside terms  -1/8 x^2 =  

I	Inside terms  2/14 x   = 

L	Last terms     2/14  = 



                      

 

 

Hi,

A firm will promote two employees out of a group of six men and three women.

process of random selection...demonstrates that the probability of randomly selecting 2 women...

is less than the probability of randomly selecting 2 men or 1 of each.  

P(2 women) = 

P(2 men) = 

P(1 each) = 

 

Hi,

Amelia hikes 12 miles due east and then 5 miles due north. 

What is the shortest distance in miles back to where she began?  

 using the Pythagorean Theorem:  

 

Hi,

how many ways can a group of 5 female employees and 7 male employees be selected 

from  7 female and 10 male employees?  

 

Hi,

A pipe can fill a tank in 10 hours. 

If a second pipe is opened, the two pipes together can fill the tank in 6 hours. 

How long would it take the second pipe alone to fill the tank?

Translate into an equation: PER hr KEY

   |Multiplying thru by 60x so as all denominators = 1

   6x + 60 = 10x

        60 = 4x

         15hr = x

 

Hi,

If a line passes through the points 

(2.5,2.5) and 

(4.5,6.5)  m = -4/-2 = 2 

the equation of the line is y - 6.5 = 2(x - 4.5).

 

Hi,



 P = 2L + 2W = 42'

      L + W = 21'     ||| L = 7' ⇒  W = 14'

 

Hi,

μ = 100,   σ = 5 

 20 is multiplied to each observation of the series, ⇒ μ = 2000,   σ = 100 

 

Hi,

x^3 + x^2 - 14x - 24   || (x+3)is one factor

using Synthetic Divsion

-3	1	1          -14	      -24

 	 	-3	6	 24

 	1	-2	-8	 0

results in 

    x^2 - 2x - 8 = 0

   (x-4)(x+2) = 0

 

Hi,



Solve for n

 

Hi,

a bowl of fruit consists of five apples, seven oranges, four pears, and two plums

person randomly selects and eats one fruit per day for three days..

P( 3 apples) = 

 

Hi,

(cos(t))^2=1/4

cos(t)= ± 1/2

 t = (1/3)pi, (5/3)pi, (2/3)pi, (4/3)pi

Thought the following (cosx, sinx) summary would help You in Your studies

 

Hi,

a+7b=16  

a+3b=4   ||First subtract 2nd EQ from te 1st EQ to eliminate a

  4b = 12

   b = 3

The solve for a using one of the EQ above

 , a = -5

Ordered pair(-5,3) is the solution for this system of equations

 

Hi,

Standard forms for conics are a 'need to know'

What is the equation of the directrix for the conic section x^2=24y?

the vertex form of a Parabola opening up(a>0) or down(a<0)is  

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

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

and y = -(k+p) is the directrix

x^2=24y, V(0,0),  focus is (0,6) AND DIRECTRIX IS  y = -6

 

Hi,

24/10+ m +1=24/10-m 

What would be the simplest way to solve this equation?

combine Like terms..Isolate the variable on one side of the EQ

24/10+ m +1=24/10-m   ||Adding m and -24/10 and -1 to both sides of the EQ

  2m = -1

   m = -1/2

 

Hi,

25 27 31 33 26 28 38 41 24 32 35 40 , m = 31.6667

 s = 5.8827, the sample of 12 standard deviation

95% confidence interval , z = 2.2 for a sample size of 12 (degree of freedom= 11)

ME = 

  31.6667 - ME <  < 31.6667 + ME

 

Hi,

 standard forms are a 'need to know'

the vertex form of a Parabola opening up(a>0) or down(a<0)is:  

where(h,k) is the vertex  and  x = h  is the Line of Symmetry Pt(2,-5) on the curve

y=-2x^2+3  V(0,3), -2< 0, opening downward, Line of Symmetry is x = 0 (y=axis)

function(satisfies the vertical Line test) describes a parabola. 

domain:  (−∞,∞)

range:   (−∞,3]

Transformation(shifted three units upward and four units to the left) y = -2(x+4)^2 + 6 

 

Hi,

μ = 24.5  σ = 6.2

P(25>x<30) = P() -  P()

P(x>30) = 1 - P()

3) In a random sample of 10 children...

P(x >25) = 1 - P() 

 

Hi,

12 horses entered,how many Big Triple outcomes are possible:  12P3 = 12!/9! = 

(order important)

 

Hi,

Re TY, Good Luck on Your endeavors!



Compute the exact value of distance between 

(6,0) and 

(0,-6)   D = 

 

Hi,

18n^2+15n-7 

factoring

(6n +7)(3n-1)

check factoring using FOIL

F	First terms

O	Outside terms

I	Inside terms

L	Last terms

 

Hi,

x	y=2x-1	(x,y)

-3	-7	(-3,-7)

-1	-3	(-1,-5)

1	1	(1,1)

2	3	(2,3)

3	5	(3,5)

Plot (x,y) points

 

Hi,

2(x+10)^+2(y-10)^2=18

(x+10)^+(y-10)^2=9   C(-10,10)

Standard Form of an Equation of a Circle is  

where Pt(h,k) is the center and r is the radius

 

Hi,

M is the midpoint of segment PQ. 

PM = 5x+3 and MQ = 2x+12

Therefore...

 PM + MQ = PQ = 5x + 3 + 2x + 12 = 7x + 15

 

Hi,

 

Hi,

 yes.  Good work.

grapH does cross at x = 2  and x = 3 (a little down and back up going on)

Note:  x = 1 is a vertical symptote (x= 1  makes the denominator ZERO)

 

Hi,

A boat takes 2hours to go 4 miles upstream.  

It can go 8 miles downstream in the same amount of time of 2hrs.

  r - c = 4/2 = 2mph 

  r + c = 8/2 = 4mph   ||Adding EQs together to elminate c

   2r = 6mph

    r = 3mph  and  c = 1mph

 

Hi,

will Let You put them inorder from least to greatest

 

Hi,

2^5/2 - 2^3/2 =