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That was my original answer, too, Geno

But...as EP  pointed out to me,  we  both interpreted this as  eating all the chocolate chips  BEFORE eating ANY of the butter cookies....however......the question seems to be implying  that we want the probability of  eating all the chocolate chips  BEFORE eating ALL the butter cookies.......this answer is probably somewhat different

Thanks for your lovely comments. I am very pleased to help you.   

y=4-3sin(x/4)  is spot on   

    the coefficient of x is   1/4    and

    the wavelength will be   2pi / (1/4) = 8pi

I have altered your graph a little so that the x axis is in radians and I have made the step 2pi.  

I have made the step equal to one quarter of the wavelgth, then it will always look nice and be easy to read from.

Here is my new graph version

One number is 10 more than another.  The sum of twice the smaller plus three times the larger, is 55.  What are the two numbers?

Let  x  be the smaller number  and x + 10  the larger....so.....

2x +3(x +10)  = 55

5x + 30  = 55

5x  =25

x  = 5     =  the smaller

x + 10  = 15  =  the larger

It takes 23 minutes for 6people to paint 6 walls.  How many minutes does it take 9people to paint 9walls

In one minute,   the   6 people will  paint   6/23   of a wall

So....in one minute....one person  will  paint  1/23  of a wall

So.....9 people will paint  9/23  of a wall  in one minute

So.....in 23 minutes.....they will paint  9 walls

1)  42  =  2b - 14      --->     solve for b

2)  b  =  3 + 4g         --->     solve for g

3)  x + y  =  84

     x  =  12 + y          --->     solve for x and y

4)  x + x + 1  =  37   --->     solve for x and x + 1

5)  x  =  10 + y

     2y + 3x  =  55     --->     solve for x and y

6)  x + 2x + (2x - 5)  =  80     

7)  one person paints a wall in 23 minutes; so, how long will it take 9 persons to paint 9 walls?

8)  P  =  2l + 2w

     l  =  3w              --->     solve for l and w

     P  =  104

(1)    5x

(2)    7x

(3)   30

(4)   7x

(5)   35

(6)    5 

Remainder  = 5

Second one

x^3  - 4x^2  + x  + 6   =  0

Note  that.....using  the Rational Zeros  Theorem that  2  is a root    (a zero)

So   using synthetic division to find the remaing polynomial  we have that

2  [  1     -  4       1        6  ]

                2       -4       -6

      ___________________

       1     -2       -3        0

The remaining polynomial  is     x^2  - 2x  - 3

Set to 0   and we have that

x^2 - 2x  - 3  =  0      factor

(x - 3) ( x + 1)  = 0

Set each factor to 0 and solve for x and the other two zeros are   3   and -1

So....the zeros  are

-1 , 2  and  3

The probability that a cube is drawn from Bin A is 6/8.

Now, there are 4 cubes and 4 tetrahedrons in Bin B.

The pobability that a cube is drawn from Bin B is 4/8.

The final probability is  (6/8) x (4/8)  =  your answer

You start with 15 cc cookies and 33 total cookies.

The probability that the first cookie is cc is 15/33.

Now, there are 14 cc cookies and 32 total cookies.

The probability that the second cookie is cc is 14/32.

Continue this pattern and multiply all the individual probabilities together:

 (15/33) x (14/32) x (13/31) x (12/30) x ... x (2/20) x (1/19)  =  your answer

or:  15! / ( 33! / 18! )

Top shelf  =  (1/3)* 12 + 10   =  4 + 10  =   14 books

this is actually kind of useful if more people take the survey. It will be cool to see the age range on this website :)

IF they do not know how to solve it, they are able to ask for further help or clarification.....

99.99999% of the time the answer will just be copied and the question asker will not understand the solution if they didn't do anything to get their answer.

In my opinion the an answer should give a hint or leave an equation to solve. That will make the question asker at least understand the solution somewhat and learn.

I *agree*, but I like to answer directly because there is always a possibility that the person doesn't know how to solve it.

As you said, this question is easy and the guest doesn't know how to do it, so that means the guest might not know how to solve the equation as well.

Ditto.   I try NOT to give answers...I do not think it helps anyone.....I try to give methods and directions, so the poster of the Q has to do the work (and possibly) learn something along the way..... 

The answer is D.

I also explained on https://web2.0calc.com/questions/help_1360

Well, the question is trivially easy, so I was hoping the Guest would work it out by theirself.

Thank you Impasta and Guest.

I will start from the place where Impasta and the Guest left out.

\(2t+5=13\)

\(2t=13-5\)

\(2t=8\)

\(t=4\)

The answer is: Tony has 4 kills.

D = 5

T = T

2 * T   + D =13  

2T  + 5  = 13           Solve for T

Let Tony's total kills be \(t\).

Then we have 

\(2t+5=13\)

If you solve this equation, you get

Before I answer u, I need u to know that this is an Off-topic question. So Yeah. 

Which sentence from the passage BEST connects the style and decorations of the Oval Office with its overall importance?

A)The Oval Office’s style may have changed over the years, but its importance has not.

B)Presidents even have the opportunity to design a special carpet for the Oval Office.

C)The Oval Office is the private office of the President of the United States of America.

D)Although the structure of the office has remained the same, each president has decorated the office in his own way.

I think the answer is D because:

 "Located in the West Wing of the White House, the Oval Office represents the power and ^responsibility of the president...Although the structure of the office has remained the same, each president has decorated the office in his own way. The style of the room often changes when a new president takes office. The first Oval Office had green drapes and carpeting. Since then, the drapes and carpeting have been many different colors. Presidents also change the arrangement and types of furniture in the office."

It shows that the president will have have the choice and it's his responsibility to decorate the Oval office.

"The Oval Office is a symbol of the president and will interest the public for generations to come."

The oval office is a symbol of the president, which means that it shows how the president lives and the president's style. 

This post will continue on another thread, as this one is getting too long. 

Do you mean (sqrt2/2, sqrt2/2)?

To maximize, x=y

so x=y=(sqrt2)/2

Therefore the answer is sqrt2

Sorry I accidentally reposted my internet did not save the first one or something. Sorry for the inconvenience. Have a good one!

I'm not sure that this is correct, but:

There are 16 cards, 4 aces and 12 non-aces.

The first player must get 1 ace out of 4 and 3 non-aces out of 12:  ₄C₁ · ₁₂C₃  =  880.

This is out of a total of choosing 4 cards out of 16 cards:  ₁₆C₄  =  1820.

The probability that this occurs is:  880/1620.

There are now 12 cards, 3 aces and 9 non-aces.

The second player must get 1 ace out of 3 and 3 non-aces out of 9:  ₃C₁ · ₉C₃  =  252

This is out of a total of choosing 4 cards out of 12 cards:  ₉C₄  =  .495

The probability that this occurs is:  252/495.

There are now 8 cards, 2 aces and 6 non-aces.

The second player must get 1 ace out of 2 and 3 non-aces out of 6:  ₂C₁ · ₆C₃  =  40

This is out of a total of choosing 4 cards out of 8 cards:  ₈C₄  =  .70

The probability that this occurs is:  40/70.

There are now 4 cards, 1 ace and 3 non-aces.

The second player must get 1 ace out of 1 and 3 non-aces out of 3:  ₁C₁ · ₃C₃  =  1

This is out of a total of choosing 4 cards out of 4 cards:  ₄C₄  =  .1

The probability that this occurs is:  1/1

Now, we need to multiply these together:  (880/1620) x (252/495) x (40/70) x (1/1)  =  8 870 400 / 56 133 000.