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A circle doesn't have a ratio.

It does have a radius which is a line segment from the center of the circle to any point on the circle.

The word "radius" also refers to the length of that line segment.

To subtract fractions, get a common denominator.

The denominators are  8  and  32  and since  8  divides evenly into  32,  make  32  your common denominator.

To change  5/8  into a fraction with a denominator of  32,  multiply both the numerator and denominator by 4.

(5/8) x (4/4)  =  20/32           

5/8  -  2 /32    =    20/32 - 2/32    =    18/32   (T  his can be reduced to  9/16.)

Process:  get all the variables ( the x's ) to one side, and all the number terms to the other.

Since the only number term is the  1  on the right side; leave it where it is and get rid of the  4x  term from the right side by subtracting  4x  from both sides:

    x  =  4x + 1

    x - 4x  =  4x - 4x + 1            (x - 4x  becomes  -3x)

    -3x  =  1                               (divide both sides by -1)

     x  =  -1/3

I see two parts to you question:

1)  If you want 2 men and 5 women, you wouldn't use 5C2;  5C2 represents the number of ways that you can        choose a set of 2 out of a set of 5;  this does not represent choosing 2 men and 5 women.

2)  Your formula:

     nCr  =  n! / [ r! · (n-r)! ]

     The  (n-r)!  in the denominator cancels all the factors in the numerator starting with (n-r) down through 1;        leaving only  n · (n-1) · (n-2) · ... · (n-r+2) · (n-r+1).

     There is still a factor of  r!  in the denominator.

     I agree with your process EXCEPT I feel that you need one fewer term in the numerator, because the (n-r)        factor gets cancelled also; in the numerator, stop with factor (n-r+1).

Ok, I understand now.

Wow, how simple!

thank you!!

It reflects a function or figure around the y axis.......in effect, the "x" values "switch sides"

Let me modify my answer to represent having the plane hold 15 passengers:

The only way to overbook is for all 16 persons to show up; this will occur only if first persons shows up, the second person shows up, etc.

This has a probability of  (.94) x (.94) x ... x (.94)  all sixteen times, which is (.94)^16.

Find that value, that is the probability of having 16 out of 16 persons showing up.

I do not have a calcuator on me...am using one found on google..but i've been doing the calculations wrong.  Thank you for your help! Have a few more..that are worded differently..hmm

I picture the question this way:

  outside, it is 69 degrees and every hour it goes up 2 degrees

  inside, it is 84 degrees and every hour it goes up 3 degrees,

then, when will the two temperatures be equal?

Never; outside starts lower than inside and outside increases by smaller amounts than inside:

outside:  69,  71,  73,  75,  ...

inside:    84,  87,  90,  93,  ...        The temperatures get further and further apart.

Very nice geno......I'm glad we have some people who can handle probability questions....I can do a few, but generally, it's not my strongpoint (if I even have one !!!)...........

If you have a calculator that handles combinations  --  that is, you can calculate expressions such as 16C3, the combinational value of 16 items taken 3 at a time  --  you can do it like this:

The probability of having enough space is calculated as follows:

16C0 · (.94)^0 · (.06)^16                                (nobody shows up)

16C1 · (.94)^1 · (.06)^15                                (1 person shows up)

16C2 · (.94)^2 · (.06)^14                                (2 persons show up)

16C3 · (.94)^3 · (.06)^13                                (3 persons show up)

16C4 · (.94)^4 · (.06)^12                                (4 persons show up)

16C5 · (.94)^5 · (.06)^11                                (5 persons show up)

Sum these  6  values; this will give you the probability that everyone gets seated.

Overbooking would be the opposite, so subtract that answer from  1.000,  to get the probability that overboooking occurs. 

The point (6,5) doesn't lie on this line.......are they asking you to write an equation of a parallel (or perpendicular) line using this point ???

*it was supposed to say 15, not 5 persons..

ok, thanks...

could someone else please help.

i am so confused it says 94% of the booked passengers arive so that means they will always have a overbook. someone else needs to help you. sorry i cant. my college is closing and i have to leave but i glanced over your question.

Interest =  P(1 + r/n)^nt  -  P 

Where P is the amount borrowed, $10,400 .......r is the annual interest rate (we must divide this by 2 because the interest is being compounded semi-annually...12.7% / 2 = 6.35% = .0635 ......n is the number of compoundings per year = 2, and t is the number of years = 4......so we have

I = 10400(1 + .0635)^2*4  - 10400 =

I = 10400(1.0635)⁸  - 10400 = $6618.97

A simple interest problem is the type where you borrow the $28,000.00 at 1.7% and you are to pay it all back in one payment in three years.

For this type problem, use the formula;  i  =  prt,

where  i  represents the amount of interest owed                (what you want to figure out)

          p  represents the principal (amount borrowed)           ($28,000.00

          r  represents the interest rate, as a decimal               (1.7%  =  0.017)

          t  represents the time                                              (3 years)

  i  =  Prt   ===>   i  =  (28000)(.017)(3)   ===>  i  =  $1428.00

So, you will have to pay back the original amount, $28000.00, plus the interest earned, $1428.00, for a total of   $29,428.00.

(This assumes that you make no month payments, or any other complication.)

an airline has a policy of booking as many as 16 persons on an airplane that can seat only 5.  (past studies have revealed that only 94% of the booked passengers actually arrive for the flight.) find the probability that if the airline books 16 persons, not enough seats will be available.  Is it unlikely for such an overbooking to occur?  What would be that probability. 

What is the question?

ok sorry if i get this wrong. i am not a math teacher and you may want to check my work.

equvilent equations means have the same varabiles, so solving for n will give you the answer.

lets get n by itself

-6n-20=-2n+4(1-3n)

take away 4 from both sides

-6n-20-4=-2n(1-3n)

add 6n to boths sides

20-4=-2n(1-3n)+6n

subtract one from each side

20-4-1=-2n(3n)+6n

solve left side

15=-2n(3n)+6n

Divide both sides by 6 

2.5=-2n(3n)+n divide both sides by 3 5/6=-2n(n)+n

divide both sides by -2 -5/12=n(n)+n lets name these n's  1,2, and 3 (for this step only) based on left to right order (easier to explain)

1 and 3 can be combined into 2n so you get

-5/12=2n(n) divide 2 from each side -5/24=(n)

That took a long time. i hope i'm correct. make sure to subisitute in -5/24 for n in the original problem

Yep....."a" is correct......(this is a tough one to interpret)

Yes "a" is the correct answer

3x+4+5x

yes, it is a. although, you can combine like terms and make it

8x+4

(the 8x is from 3x+5x)

The " product of 6 and x" = 6x   (product means "multiply')

So......(x less this product) =

x - 6x

Assuming you have a linear equation, just let x = 0 in the equation.......this will give you the y intercept !!!

(Or.....you can solve for "y" to get the y intercept)

You are correct  !!!! ...... "c" is correct........good job !!!!