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i think what hugo meant was \(\dfrac{7-2}{7}=\dfrac{5}{7}\text{ probability}\)

hi! i answered it in your private message! :)

At least 2 girls =(6 nCr 2+6 nCr 3+6 nCr 4+6 nCr 5+6 nCr 6) = 57 / 2^6 =57 / 64

At most 5 girls =(6 nCr 5+6 nCr 4+6 nCr 3+6 nCr 2+6 nCr 1+6 nCr 0) / 2^6 =63/64

Here’s something I don’t understand: 7-2 /7 = 47/7 not 5/7

Hugo, are you going to post a Venn diagram? You used your typical lick and prayer answer method, which is just lazy slop. Jimkey posted a correct math solution, so no point in you doing that too. If you post a decent Venn, I’ll add 20 points; else it’s minus 10 points. You have until Saturday 11:59 PM EDT.  It’s your choice. 

OH … if you don't understand anything feel free to ask! Make sure you ask soon enough. There are no extensions…

Between the two of them, they should have eaten: 142 + 333 =475 chocolates.

So, there should be left: 1,000 - 475 =525 chocolates.

Think of it this way. You pick any spot, and you have 2 points to either sides that are 1 unit away.

thus we have 7-2 /7 = 5/7 probability

if you don't understand anything feel free to ask!

ok so we can start off by noticing that the small triangle is similar to the larger triangle, and if triangle's are similar, the angle measures are the same.

so, a = 40 degrees

since the two sides are congruent, that means that angle c is equal to angle a, so angle c = 40 degrees

for angle b, we already know that the other 2 angles of the smaller triangle are both 40, so using the triangle theorem, we get 180-40-40= 100 degrees. so, b = 100 degrees.

lastly, angle e is part of a straight line with the other angle being 40 degrees. so angle e = 180-40=140 degrees

adding them all up becomes 40+40+100+140= 320 degrees

cause there's 6 candidates for president so that 6! 

there's 4 candidates for vp so that's 4!

there's 5 candidates for secretary so that's 5!

and there's 3 candidates for treasurer so that's 3!

so that's just 6!*4!*3!*5! = 12441600

isn't it just \(6! \cdot 4! \cdot 5! \cdot 3! = 12441600‬ \text{ ways }\)?

no problem! :)

By Pythagoras, the hypotenuse is sqrt(319)/2.

Unfortunately it was incorrect- thank you for helping though

Ok thank you, I have gotten it already.

Here's the formula:

\(A = \pi r(r+\sqrt {h^2+r^2})\)

Is that helpful?

And I think h represents the height not slant height, but I am not one hundred percent sure.

Could u maybe give a solution and explain why instead of just giving an answer?

108 = 2^2 * 3^3

The smallest n = 2, so that: 108 * 2 = 216 - which is a perfect cube of 6.

You can use Schinzel's Theorem: https://mathworld.wolfram.com/SchinzelsTheorem.html

thanks!

Just figure the area of the entire rectangle and minus the white triangles that you don't want.

Hint: a triangle's area equals \(\frac {\text {base} \times \text {height}} {2} \)

Hope that is helpful.

Thank you for trying, buy that is not right :/

(B)452.39 since it is A=4πr^2 and r=6 so A=452.39

x=100 since CXF=100 degrees and by similar angles x=100 degrees

The formula for the surface area of a sphere is given by 4pi*r^2, where r is the radius. We also know that the diameter of the sphere is 12 units, so its radius is 12/2 = 6 units. Thus, we can conclude that the surface area of that sphere is 4pi*36, which is about 452 units, or B. 

The longer leg of a right triangle is $1$ foot shorter than twice the length of the shorter leg. The area of the triangle is $60$ square feet. What is the length of the hypotenuse, in feet?

Short way:

Hypotenuse     c = sqrt ( A * 2 ) = sqrt ( 60*2 )