CPhill

13x - 2x = 11x    and this IS a polynomial......it's a line drawn through the origin with a slope of 11....!!!

Happy7....if you go to "Formulary" on the onsite calculator. it will actually calculate areas and volumes of various geometric figures.......!!!!

Happy7, the surface area of a sphere is given by:

S_a = 4 x pi x r²   ...... where r is the radius

The expected value is given by:

(prize amt - cost to play) x (probability of winning)

So, we have three prizes....the probability of winning the $1000 and $500 prizes is 1/1000 and the probability of the $100 prize is 5/1000. So we have:

(1000 - 3)(1/1000) + (500 - 3)(1/1000) + (100 - 3)(5/1000) ≈ $1.98

In theory, you should probably play.

I've seen this problem before, and I always liked it too, Melody!!!  It's not too difficult, but it does require a bit of thinking!!!

Nice answer.....

2sin2θ = 3 − 5cosθ  ......      add 5cosθ to both sides

2sin2θ + 5cosθ = 3             the easiest way to solve this is by graphing..... (I'm using x instead of theta)

Assuming we're in degree mode, we have

Sin(37)=18/x     multiply both sides by x and divide both sides by sin(37)...so we have...

x = 18 / sin(37)  = about 29.91

A committee of 6 is to review the value of wearing uniforms. The committee is to be chosen randomly from 5 interested teachers, the student council of 12 students and the 3 parents from the parent council. What are the following probabilities?

a) No students are on the committee

We have 20 people and want to choose any 6 of them. The number of possible ways to do this = C(20,6) = 38760.  So, no students on the committee means we want to choose any 6 people from the teachers' and parents' groups. And this can be done in C(8,6) = 28 ways. So, the probability of no students = 28 / 38760 = about .072%

b) Has at least 1 member from the parent council

This is just equal to 1 - probability of no members from the parent council. So we have

1 - C(17, 6)/C(20,6) = 1 - .319 = about .681 or 68.1%

2 x 6/3 + 5 - 1 - 4  = 4

The time it takes to drop is given by

-200 = -4.9t²      divide both sides by -4.9

200/4.9 = t²    take the positive square root

t = 6.39 sec

The time it takes the sound to return is given by

D / R = T ..... so.....

200/[332 + 0.6(23)] = .58 sec

So ( 6.39 + .58) = 6.97 sec