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It's actually

Aeron, Ben, John drive at the constant speed. The average speed of Ben is 5/4 of Aeron. The ratio of John's average speed to Ben's average speed is 13:15. If Aeron's average speed is 60 km/h. What is John's average speed? Give the answer to the nearest whole number.

(1) 65 km/h
(2) 87 km/h

(3) 55 km/h
(4) 42 km/h

Hi RainbowSquirrel53, 

Fabian has a deck of 25 cards.

Each card has an integer between 1 and 5, inclusive, printed on it in one of

five colors: red, orange, green, blue, or violet.

Each number-color combination appears on exactly one card in the deck.

Fabian draws four cards at random, without replacement, from the deck.

What is the probability that exactly two different numbers and exactly three different colors appear on his four cards? Express your answer as a common fraction.

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I'm not certain but here is my logic.

Say tthe numbers are 1,2 and 3 and the colours are red and orange.  There are only 6 such cards so it is impossible to chose only 1 number or one colour shen chosing 4 of them.  That makes the problem a bit more simple than it might otherwise have been.

there are   5C2 ways to chose 2 numbers and 5C3 ways to chose 3 colours then 6C4 ways to chose the exact cards

that is    5C2 * 5C3 * 6C4 = 10*10*15 = 1500 possible favourable combinations

There are   25C4 = 12650 possible combinations

1500 / 12650 = 30/253    which is about 12% chance

A response from you, AngrySesame, would be good!

the only perfect cube there is 5 (125) so every number except 5

please help

"In the figure"

There is no figure!

Note that because \(243 = 3^5\), we know that the probability that you make a shot is \({ x \over 3}\) (because he makes 5 shots)

The probability of making at least 1 shot is the same as \(1 - \text{probability of failing every time}\). 

From the given info, we know that the probability of failing every time is \(1 - {211 \over 2443} = {32 \over 243}\)

This means that \(x = \sqrt[5]{32} = 2\), so the probability of making any free throw is \(2 \over 3\).

Can you take it from here?

We are trying to find \(\sqrt{x^2 + y^2}\).

Simplify as follows: 

\(\sqrt{(x+y)^2 - 2xy}\)

\(\sqrt{13^2 -( 2 \times -24)}\)

\(\sqrt{169 - - 48}\)

\(\sqrt{169 + 48}\)

\(\color{brown}\boxed{\sqrt{217}}\)

After removing the hightes and lowest we are left with 8+7.6+7.6

8.0+7.6+7.6=23.2  

Than the difficulty is 3.8 so we would do (3.8)*(23.2) = 88.16 rounded to the nearest tenth is 88.2

It says "Express your answer as a decimal to the nearest thousandth." so it'd be 0.943.

If it's going down than it would be 33/56.

InteleonVmax: Where did you get the answer from? 

From my computer, I got:

263,970 / 6^7 ==0.942965534............

1 4/3 = 7/3

So he needs 7/3*1/24 = 7/72 for 1 cookie.

7/72*18 is 126/73 or 7/4

If you are going down from 5/8 to 4/7, then:

5/8  -  4/7 ==3 / 56

2/3  *  3/56 ==1 / 28

Look here: https://web2.0calc.com/questions/algebra-question_133 

23*158 = 3634.

3+6+3+4=16

Repeat step #3.

1+6=7

We can first find a common denominator. 

We can use 56 here.

So 5/8 --> 35/56

and 4/7 -->  32/56

2/3 of the way there would be 34/56 = 17/28.

0.943 is the answer

Because the circle is tangent to the y-axis at \((0,8)\) tells you that the y-coordinate of the center is 8. 

Now, recall that any 2 points that lie on the circle must be equidistant to the center. Use the distance formula, set them equal, and substitute \(y = 8\)

Can you take it from here?

a_5 = 31/3.