Hi,will quickly help with several...

For a perfect normal distribution, the mean, median and mode are all equal.

1. C  and 3. D

4. D  (m = 0 and SD = 1, variance = SD^2



5. 2 = 76-m/10, m = 56

6. m=8, variance = 8/2 = 4, SD = sqrt(4) = 2

10. variance

 

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Cramer's rule:

 2x – y = 4

–5x + 3y = 3

 x = Dx/D = 15/1 = 15  and y = Dy/D =  26/1 = 26

Note:   =

 = 1

 = 15

 = 26

 

Hi,

Suppose that you select 2 cards without replacement from a deck. 

A. If the first card that you select is a king, what is the probability that the second card you select is a spade? 

Might consider using: P(A|B) = P(A and B)/P(B) where P(A and B) = 

P(2nd is a spade|1st is a K) = 

 

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Robert wants to fence in his backyard that is 28 feet by 26 feet

 of fencing

 

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each side of a regular solid is 5 centimeters long 

 

 

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Might consider the possibilities of only using 8NA and 12SA

For ex:

  +   + +  + 

 

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Key is The number is less than 30 and EVEN (can't be 19)

 Even...having digits that would add to 10... could only be 28

 

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the idea is by definition: absolute value |number|  ALWAYS has an 'absolutely' ≥ 0  result

regardless if the number is positive or negative

for ex:  |4| = 4  and |-4| = 4

As to:

 |K| = K, that would only be true if K itself were ≥ 0



|(x-2)^2| = (x-2)^2     | quanity (x-2) 'squared' is ALWAYS ≥ 0

 

Hi,

scores are three consecutive numbers whose sums equal to 252.

Note:   Scores are: 83, 84, 85

 

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A cylindrical object has a diameter of 1.25cm ( r = .625cm) and a height of 6.48cm

 

 

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The length of the room is 1 ˝ feet longer than the width. 

Find the length of the room. 

Question states*** A = 126ft^2

    |  L = 



  W^2 + 1.5W - 126 = 0



 W = 10.5ft   (Throwing out the negative solution for unit measure)

 L = 12ft

and..

 

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n is the sum of two consecutive odd integersand  and is less than 100 

Question states***

 x + x-2 <100

  x < 49  Biggest two consecutive odd integers possible is 47,49  

 47+ 49= 96, their sum 96 is the greatest probability of n. 

 

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The number of trees in each row is 20 more than twice the number of rows.

Question states***orchard that contains 150 trees.

      | y =

 

   2x^2 + 20x - 150 = 0

    x^2 + 10x - 75 = 0

   (x+15)(x-5) = 0

          x = 5, throwing out the negative solution for number of rows

 x(rows) = 5  and y(trees in @ row) = 30

 

Hi,

the sum of the first fifteen terms of an arithmetic terms progression is 270. 

find the first term and the common difference if the the fifteenth terms is 39

 ⇒ ,  = -3

  ⇒ ⇒  d = 3

and

  

 

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 |Multiplying thru by 6 so as all denominators = 1

 

  2(m-6) + 3(m+5) = 10

will Let You take it from here

 

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one sixth of a number plus one fifth of a different number.

Write as We Read

 

 

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simplify (putting in terms of the smallest square root possible)

  

 

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Cam is seven,and Steven is four years older than Cam. How old is Steven? 

 

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factoring each out...Yes! 2295.  Good Work

27	3	3	3	

45	3	3	        5

153	3	3		      17

LCM	 			

 

Hi,

Mitsuko’s  salary  for  next  year  is  $44,940.  This  represents a 7% increase over this year’s  salary.

Best to Set Up it Up Algebraicly...

Question states***

 P + .07P = 44940

P(1 + .07) = 44940

  

 

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 If  

 

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  | Cross Multiplying to solve

 4 = -3(m+6)

 4 = -3m - 18

3m = -22

 m = -22/3



 

 

Hi,

Choose a set of two ordered pairs that satisfy the equation 

and have the same x=coordinates but different y coordinates

 x^2=y^2 

Two of the (x,y) choices qualify:

(7,7)(7,-7)******  7^2 = 7^2  and 7^2 = (-7)^2

(1,-1)(1,5) Note: 1^2 ≠ 5^2

 

Hi,

log[16]x+log[4]x+log[2]x=7

Note:  &

 |Multiplying thru by 28 so as all denominators = 1

 

  

   

 

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The diameter of the tank is 60 cm(radius = 30cm) and the height is 1m. 

 

Hi,

 ⇒ 

⇒ Note:5^(1/2)*5^(3/2) = 5^(1/2+3/2) & x^5/2/x^3/2 = x^(5/2-3/2)

 

Hi,

 

A=15cm

 B=10cm

 C=5cm

 H=7cm 

Perimeter = 

Area=cm^2 Assuming longest side is the base.

 

Hi,

v= l*w*d  Yes, good work!

 

 

   

Important to submit your answer with the proper unit of measurement

 

Hi,



Note:  A = LW =  is Area in ft^2 not length in ft.

P(distance around) = 2L + 2W =