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5([x-1/2]-1) +2x    =  5+x

             3

Multiply both sides by 3

5 ( [ x - 1/2 ] - 1 ) + 2x   =  3(5 + x)

5 ( x - 3/2) + 2x  =   15 +  3x

5x - 15/2 + 2x   =  15 + 3x

7x - 15/2  +  15 + 3x

4x  =  15 + 15/2

4x    = 45/2

x  = (45/2) ( 1/4)   =    45 / 8  

good luck and have fun

Thanks for telling me! I'll try to work on this more. 

8. 9/18 * 8/11= 1/2*8/11=4/11, first option.

9. Only one letter is a vowel and not an uppercase letter, so the probability to get an uppercase letter or consonant, is 9/10=0.9, first option.

1.    3 routes from school to library * 5 routes from library to home  =   15

2.  Possible ways that Verne can line up his books = 6!  = 720

     Possible ways that  Jenny can line up her books  = 4!  = 24

720  -  24     =    696

sorry Tertre the answer is incorrect the number needs to be a whole number

1. This is combinations, 5C3= 5!/3! * 2!= 5*4/2*1=10, second option.

Does x=45/16?

3. 7C6= 7!/6! * 1!= 7/1=7, so the last option.

Here's my best attempt, RP

P (Vaccinated  or Flu/No Vaccine)  =  P ( Vaccinated) + P(Flu/No Vaccine) -

                                                            P( Vaccinated  ∩ Flu/No Vaccine )     =

                                                           (219 / 490 )  + (26/ 490)  -   (0/290)  =

                                                           245 / 490   =   1/2   =  .50

Julius, you got it backwards: 865 / 2330 =0.3712 x 100 =~37%

I think the answers are

Cone, Cylinder

Sphere

Convert all 3 currencies to US dollars:

160 rupees / 32.35 =$4.95 US dollar equivalent of 160 Mauritius rupees.

25 kunas / 5.18 =$4.83 US dollar equivalent of 25 Croatian kunas.

34 pulas / 6.95 =$4.89 US dollar equivalent of 34 Botswana pulas.

$4.95 x 8 =$39.60 Equivalent US dollars earned by Naven from Mauritius.

$4.89 x 8 =$39.12 Equivalent US dollars earned by Ian from Botswana.

$4.83 x 8 =$38.64 Equivalent US dollars earned by Luka from Croatia.

As you can see, they are very close to each other in earnings for an 8-hour working day for all 3 men.

False....mutually exclusive means that two things cannot happen at the same time...but...we can have a detective novel tthat is a hardcover .....there are 12 of these

                                       Hardcover        Paperback     Total

Detective Novels                12                     20                32          

Romance Novels                 8                      28                36

Other                                    9                     14                23

Total                                   29                      62                91

1. Detective Novel  =   32 / 91  = .35

2. Hardcove Book  =   29 / 91  = .32

3. Paperback Detective Novel  = 20/91  = .22

4. Paperback or Detective Novel  =  [ 62 + 32 - 20] / 91  = 74/91  =  .81

5. Not a Detective novel  =  [ 36 + 23 ] / 91  = 59/91  = .65

Well.....that's not too bad with this probability stuff....to be honest....I never liked it very much, either   .......LOL!!!!

P ( S  or T )  = P (S)  + P(T)  -  P (P and T)

Since they are mutually exclusive, P( P and T)  = 0

So

P (S or T)  = P(S) + P(T)  =  .20  + .22  =   .42

5.

We have 22 objects in total

P( Green or Cube)  = P(Green)  + P (Cube)  - P (Green and Cube)

                               =   11/22     +  12/22   -   5/22

                              =  18/22      

                                =  9/11

It looks fine to me!

Ty!

Also, I tried haha I got one right at least

The amount of dollars Patty paid extra is 15 - 12 = 3.

So 3 dollars is the tip Patty paid. 

Now we need to what percentage of 12 is 3.

3/12 = 0.25 

So the answer you are looking for is 25 percent.

Nevermind, it's 25%, 100/12*15=125-100=25%

These are dependent events.....the second card that is drawn is dependent upon the card that is drawn first  [Hint....any time we have "without replacement"....the event will be dependent ]

Second one

We have 13 Hearts.....the probability that one of them is a King  is just  1/13

Last one

We have a total of  70 + 50  = 120  students who arrived by car

The probability that  one of these is a girl  is   

[ Number of girls that arrived by  car  ]  /  [ Total Arrivals by car ]  =

[ 50  / 120 ]   =  5/12  ≈    .42  =   42%

Taking two marbles from a box without replacement

P(Q)  = .41      P(R)  = .44

P(Q  ∩ R )   =   .41 * .44   =  0.1804

Mutually exclusive means that it impossible for both things to happen at the same time

Obviously...it is impossible to  roll an even number and an odd number at the same time

You're Welcome!

Oh, thank you!