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I think of three numbers. The mean is equal to the mode and this is equal to 4. Find ALL the possible sets of 3 numbers.

4,4,4     I think that is it!     (assuming that there is only one mode)

Okay I understand thanks bro

The two red lines and the purple(?) line between them form an equilateral triangle. Find the area of this and multiply by six to get the area of the hexagon.

So the two red lines and the black line make a triagnle that I solve the area for??? Sorry Im very confused now.

The area of a triangle, of course, is given by half base times height.

sqrt(10² - 5²) → sqrt(100 - 25) → sqrt(75) → 5*sqrt(3)

This is the height of the black(?) line going from the centre to the side in your picture.

ha is this you homework 

Incidentally, in n dimensions, a vector space is the set of all possible values of (a₁, a₂, ... a_n) where the a's are the individual components (I.e. it's the set of all possible n dimensional vectors).

I understood the first part but Im confused at "is sqrt(10^2 - 5^2)". Is that the formula to solve?

Could you take this answer down please its giving an unfair advantage for this person in particular

Hey man I'm in your class at university and I really dont think you should be using other people to answer your questions, I google searched about five words from our question and it came up with this result. This also may be against the guidelines of the uni so stay safe and ask a lecturer or someone else next time.

A regular hexagon is comprised of six equilateral triangles.  The "base" of each triangle is just 10 cm (in this case) and the "height" is sqrt(10² - 5²).

Can you take it from here?

You could certainly have functions of vectors. You could have functions that generate the components of vectors.  Without knowing exactly what your lecturer meant by "expressed by" though, I'm not going to be a great help!

Set y to be 50 and then take logs of both sides.

50 = 21.665x^-0.264

ln(50) = ln(21.665) - 0.264lnx   using the properties of logs.

Rearrange:   lnx = (ln(21.665) - ln(50))/0.264

x = e^{(ln(21.665) - ln(50))/0.264}

Oneof the things that puzzled me is that the lecturer said a vector can be expressed by a function, or that a function can be represented by a vector, or that functions and vectors are the same. Im not quite sure tho.

A vector in linear algebra is generally just a list of components.  In two dimensions these would represent the x and y components if you think of them graphically.  However, in general, there could be n terms, where n is much greater than 2, so these would be difficult to visualise! The components are usually listed within brackets. When these are aligned in a row you have a row vector; when they are aligned vertically, you have a column vector. There are specific rules for adding, multiplying etc.

Is this what you are looking for, or is there a specific feature you encountered that puzzled you?

None of the above!

cos65 is less than cos35. sin55 is greater than sin35.

The result is therefore negative. However it isn't -1, the only negative option offered.

By why does the deviation increase when going from first floor to second floor

What line is perpendicular to y=-3/4x+5?

\(y=\frac43x\)

generally: \(y=\frac43x + b\)

Thank you!

Thanks for the help!

Originally there must have been 123 + 47 = 170 green and blue marbles,  meaning there are 640 - 170 = 470 red marbles.

The bag now has 640 - 47 = 593 marbles in total.

Assuming you are only going to draw two marbles out of the bag (rather than continuing to draw all of them out), the probability of getting two reds is (470/593)*(469/592)  ≈ 0.63 

(if you meant that you continue to draw out all the marbles, then the probability of getting two reds in a row at some point is 1. i.e. it is certain, because there are so many more red marbles than blue and green.)

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10^(.37) Help me...

\(10^{0.37}=10^{\frac{37}{100}}=\sqrt[100]{10^{37}}\)

With the 2.0calc

\(\left[10\right] [x^y]\left[0.37\right] \left[=\right] 2.3442288153199221\)

  !