CoolStuffYT

Answer to #1: 2^95

Explanation:

The person has 95 candies left. If he eats at least one per day, then he can the eating out for as long as 95 days (1 per day), or 1 day (95 per day).

Or in other words, 95 choose 1 + 95 choose 2 ... + 95 choose 95.

That sum is simply 2^n (a formula you should know for this), and n=95, so the answer is 2^95.

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The mean of the set is all the numbers added up divided by the total number of terms.

There are 8 terms and 118+x is the sum.

So (118+x)/8 is the mean, which is 4.5 less than x, or x-4.5

Our equation is \(\frac{118+x}{8}=x-4.5\).

I believe you can solve this.

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We are mounds of flesh!

1 kgf/cm2 to ton/square metre = 10 ton/square metre

So multiply by 10.

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For question one, just measure it.

2 inches is about your whole thumb.

Answer: \(\frac{8}{3}

Explanation:

The largest angle's opposite side is the largest length of the triangle.

So \(2n+12>2n+7>3n-3\).

Take the last two inequalities and get \(n<10\)

Additionally, we can apply the triangle inequality and get \(2n+7+3n-3>2n+12\)

Solve to get \(3n>8\), and n>8/3.

So \(\frac{8}{3} .

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(I'm not completely sure about my answer, if someone could double check that would be great!)

Click the radian sign.

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Answer: 4

Explanation:

Since x and y do not depend on each other... let's let y=0.

So if y=0, then 2x+0^2=2x.

We should minimize x, so make it 2.

2x with x=2 = 4

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#1 Answer: 55 degrees

#1 Explanation:

The angles added up are 665 degrees.

The angles of a hexagon add to 720 degrees.

The missing angle is therefore 55 degrees.

#2 Answer: 9 (square units)

#2 Explanation:

The diagonal of a square forms a right triangle, with the diagonal as hypotenuse and two sides as legs.

The two sides are equal.

If we let one side have length x, then

x^2+x^2=(3sqrt2)^2

by Pythagorean Theorem.

2x^2=18

x^2=9

The area of the square is x^2, and we found it to be 9.

A useful formula is that the area of the square when you have the diagonal is (diagonal^2)/2

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6H, 4T = 10!/6!4! ways to arrange

7H, 3T = 10!/7!3!

8H, 2T = 10!/8!/2!

9H, 1T = 10!/9!1!

10H, 0T = 10!/10!0!

Add it up to get 386

2^10 possible outcomes = 1024

Answer: 193/512

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