The key thing to remember when you're working a problem like this is that
the cube has no memory ... it doesn't know what happened on the last roll,
so the chance of any particular thing happening on the 2nd roll, or on the
100th roll, is the same as it was on the first roll.
Probability of success = (number of ways to succeed) / (total possibilities)
Number of ways for a 4 to come up . . 1
Total possible results of the roll . . . . . 6
Probability of rolling a 4 . . . . . 1 / 6 .
Probability of rolling two 4s . . . (1/6) x (1/6)
Probability of rolling three 4s . . (1/6) x (1/6) x (1/6) = 1/216 = about <em>0.46%</em> .
Natural numbers: Counting things! You look around your room and see an electronic device, then another, then another! You just counted to 3 using the natural numbers.
Whole numbers! You try to look for electronic devices and realise that they’re all gone. You have zero electronic devices, and you just used whole numbers.
You go online to find where your electronic devices went, and realise they were taken because you’re in debt to the bank so they took some of your stuff. You’re in negative numbers, and now you’ve used integers.
Complete question is;
Andrea is given ABC and told that a² + b² = c². She draws right triangle RTS with legs measuring a and b and hypotenuse measuring 2. Which best describes what Andrea should
do in order to prove that ABC is a right triangle?
Answer:
Andrea should show that c = 2, so: ∡ABC = ∡RTS and ∡C = ∡S. Hence, ∡C is a right angled triangle, hence ΔABC is a right triangle
Step-by-step explanation:
In this question, we are told that the given sides of the triangle are a, b and c. Now, Andrea is able to draw the two sides of the right triangle with sides = a and b and the third, hypotenuse equal to 2. Since the length of the hypotenuse = 2, then we have;
2² = a² + b²
However, we are told that c² = a² + b²
Therefore, c = 2
Hence, Andrea should show that c = 2 so ΔABC = ΔRTS and ∡C = ∡S hence ∡C is a right angled triangle since it is the angle opposite to the hypotenuse c and therefore, ΔABC is a right triangle.
Answer:
900,000 books.
Step-by-step explanation:
The volume of the container = 24 * 9 * 8
= 1728 m^3
The volume of each book = 20*16*6 = 1920 cm^3
There are 100*100*100 = 1,000,000 cm^3 in 1 m^3.
So the number of books the container can hold
= (1728 * 1000000) / 1920
= 900,000.
