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The average cholesterol content of a 100-gram bar of a certain brand of butter is 215 mg with a standard deviation of 15 mg. If a sample of twenty-five 100-gram bars of butter is selected, find the probability that the sample mean is less than 220 mg. Assume that the variable is normally distributed.



Write the word continuous if the given function is continuous on each of the given intervals otherwise write the word not continuous f(x)=x+5/x^-9 a.(0,9] b.(-3,3)

Complex  Sentences  # 2  (15  marks)

Directions:  Write  “Dependent  Clause”  (DC) under  the  dependent  clause  and  “Independent  Clause”  under  the  independent  clause  (IC).  Circle  the  joining  word  between  the  sentences.


Example:


The  mailman  wouldn’t  deliver  our  mail  after  my  dog  bit  him  in  the  leg.

              IC                                                 (join. word)                   DC


1.  Because  we  were  all  so  tired,  we  decided  to  go  home  early.


2.  Unless  we  do  all  of  our  homework,  we  won’t  be  able  to  play.


3.  My  dog  waited  at  the  door  for  us  until  we  got  home.


4.  Although  none  of  us  wanted  to  leave,  we  had  to  be  home  before  midnight.


5.  If  Charlie  doesn’t  stop  teasing  that  dog,  the  dog  is  going  to  bite  him.


6.  We  took  pictures  while  the  monkeys  swung  from  the  trees.




"As the price of domestic automobiles has inched upward, customers have found foreign autos to

be a better bargain. Consequently, domestic auto sales have been decreasing, and foreign auto sales

have been increasing." Using only the information in this quotation and assuming everything else

constant, which of the following best describes this statement?

(A) A shift in the demand curves for both domestic and foreign automobiles

(B) A movement along the demand curves for both foreign and domestic automobiles

(C) A movement along the demand curve for domestic autos, and a shift in the demand curve for

toreign autos

(D) A shift in the demand curve for domestic autos, and a movement along the demand curve for

foreign autos


Directions:  Turn  the  compound  sentences  below  into  compound-complex  sentences  by  adding  the  dependent  clauses  in  parentheses.




6. Dependent  Clauses:  (when  his  parents  came  home)  

                                           (so  we  could  have more  fun)

The  party  ended,  and  we  went  to  Tom’s  house.



7.  Dependent  Clause:  (until  the  people  left  the  theater)

We  bought  our  tickets,  but  we  couldn’t  go  in.



 8.  Dependent  Clause:  (that  went  over  the  center  field  fence)

He  hit   a  homerun,  and  the  Dodgers  won  the  game.



9.  Dependent  Clauses:  (while  I  do  my  work)  (when  I  get  home)

You  can  play  in  the  park,  or  you  can  go  swimming.



10. Dependent  Clauses:  (so  she’d  be  ready  to  win)  (when  she  arrived  at the field)

Tell  Dolores  to  get  enough  rest  and  eat  breakfast.




Question: A card is drawn from a standard deck. Find each of the following conditional probabilities, use the formulas and show your work.


a) The card is a queen, given it is a face card.

b) The card is a king, given that it is a spade.

c) The card is a spade, given that it is a king.



The results of a Nationwide aptitude test in mathematics are normally distributed with m=80 and s=15 what percentile rank of a score of 90

Directions:  Turn  the  compound  sentences  below  into  compound-complex  sentences  by  adding  the  dependent  clauses  in  parentheses.


Example: Dependent  Clauses:  (Until  I  feel  better)  (Whenever  I’m  sick)

My  mom  makes  chicken  soup,  and  my  dad  reads  to  me.



1. Dependent  Clause:  (as  soon  as  we  arrived)

We  went  to  the  game,  but  it  started  to  rain.



2.  Dependent  Clauses:  (while  the  parents  made  punch)  (once  the  party  started)

The  music  was  loud,  and  everyone  danced.



3.  Dependent  Clauses:  (when  the  students  took  their  seats)  

                                            (which  was  in  room  304)

The  class  started,  and  the  teacher  began  to  teach.


4.  Dependent  Clause:  (if  the  weather  is  bad)

We’ll  go  camping,  or  we  might  stay  in  a  hotel.










Two point charges are placed as follows: charge q1 = -1.50 nC is at y = +6.00 m and charge 

q2 = +3.20 nC is at the origin. What is the total force (magnitude and direction) exerted by 

these two charges on a negative point charge q3 = -5.00 nC located at (2.00 m, -4.00 m)?


“BLUE PINK”

Situation: A maternity hospital located at the heart of the city is providing nursery kit items for expectant mother clients. The common colors of these items are either pink (for female babies) or blue (for male babies). The hospital management’s concern is the number of each colored item they have to prepare to meet the demands of their clients. On the basis of the previous years’ experience, the management estimates that the probability that any one mother will have a female baby and will be using pink items is .60.

Task: Determine the probability distribution by completing the table from 20 mothers, with    and .


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