Remember that the area of a rectangle is the length of the rectangle multiplied by the width of the rectangle.
In this case, we could say (where
is the area of the rectangle):

Substituting the values the problem gave us for
and
, we can find the formula for
in terms of
, which is:

The formula for the area of the rectangle would be A(x) = 10x³ - 20x² + 65x.
Answer:
The probability is 1/28,561
Step-by-step explanation:
Here, we want to find the probability that each of the players will receive exactly one ace.
In a deck of cards, we have 4 suites of 13 cards each, with each of the suites consisting of 1 ace.
So, the probability of getting an ace for each of the four players will be 4/52 = 1/13
Now, the probability of each of the players getting exactly one ace will be; first got one ace , second got one , third got one and fourth got one.
mathematically, this probability will be 1/13 * 1/13 * 1/13 * 1/13 = (1/13)^4 = 1/28,561
Answer:
8:3
16:6
Step-by-step explanation:
First, let's check if 9 and 24 have any common factor. If they do have any common ones, we must find the GCF (greatest common factor).
Factors of 9: 1, 3, 9
Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24
The common factors both of the numbers share and 1 and 3. To find the GCF, simply compare one of the factors to the other.
1 < 3
Now that we know the GCF, we can divide the two numbers in the ratio 24 : 9 by it (3).
24:9
24/3:9/3
<u>8:3</u>
Now that our ratio is simplified, it's going to be much easier to find more ratios that are equivalent. <u>8:3</u> is already one equivalent ratio, but if we multiply each number in the ratio by any other number, we can get a new equivalent ratio. Let's multiply each number in the ratio by 2:
<u>8:3</u>
8 ⋅ 2:3 ⋅ 2
<u>16:6</u>
<u></u>
So, another equivalent ratio to 24:9 (and <u>8:3</u>) is <u>16:6</u>.