Answer:
The probability that he ends up with a full house is 0.0083.
Step-by-step explanation:
We are given that a gambler has been dealt five cards—two aces, one king, one 3, and one 6. He discards the 3 and the 6 and is dealt two more cards.
We have to find the probability that he ends up with a full house (3 cards of one kind, 2 cards of another kind).
We know that gambler will end up with a full house in two different ways (knowing that he has given two more cards);
- If he is given with two kings.
- If he is given one king and one ace.
Only in these two situations, he will end up with a full house.
Now, there are three kings and two aces left which means at the time of drawing cards from the deck, the available cards will be 47.
So, the ways in which we can draw two kings from available three kings is given by =
{∵ one king is already there}
=
{∵
}
=
= 0.0028
Similarly, the ways in which one king and one ace can be drawn from available 3 kings and 2 aces is given by =
=
=
= 0.0055
Now, probability that he ends up with a full house =
=
= <u>0.0083</u>.
Answer:

Step-by-step explanation:
To calculate the lenght of the diagonal d across the square, we can assume that the square it is compound of two right triangles. So, we can resolve this exercise using The Pythagorean Theorem.
<em>The Pythagorean theorem</em> states that in every right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the respective lengths of the legs. It is the best-known proposition among those that have their own name in mathematics.
If in a right triangle there are legs of length a and b, and the measure of the hypotenuse is c, then the following relation is fulfilled:
a is the height, b is the base, and c is
the hypotenuse.
To obtain the value of the hypotenuse

To find the value of the lenght of the diagonal d across the square, we have:
Where a = b = 20
Substituting the values

Round the answer to 2 decimal places

First things first, you will have 94 + x. Place those on top of a fraction bar and on the bottom put the two numbers over 2. So you have 94 + x over 2. Then, write the symbol ‘greater than or equal to’ and on the other side place your 90. So, 90 + x over 2 is greater than or equal to 90. This is a difficult thing to write out and explain so I hope this makes sense. :)
Answer:
y = -4x - 4
Step-by-step explanation:
Rise/Run
-8/2 = -4
Y-intercept:
-4
Sorry. Had to redo this with the correct answer.
Here it is...
Solve for x by simplifying both sides of the equation, then isolating the variable.
Exact Form:
x = - 2/5 (fraction)
Decimal Form:
x = - 0.4 (decimal)