Answer: 3/2
Step-by-step explanation:
3/10 * 5
3/10 * 5/1
this can be simplified, the 5 cancels out and the 10 becomes a 2
3/2*1/1 = 3/2
Answer:
Step-by-step explanation:
We know that:
In a deck of 52 cards there are 4 aces.
Therefore the probability of obtaining an ace is:
P (x) = 4/52
The probability of not getting an ace is:
P ('x) = 1-4 / 52
P ('x) = 48/52
In this problem the number of aces obtained when extracting cards from the deck is a discrete random variable.
For a discrete random variable V, the expected value is defined as:
Where V is the value that the random variable can take and P (V) is the probability that it takes that value.
We have the following equation for the expected value:
In this problem the variable V can take the value V = 9 if an ace of the deck is obtained, with probability of 4/52, and can take the value V = -1 if an ace of the deck is not obtained, with a probability of 48 / 52
Therefore, expected value for V, the number of points obtained in the game is:
So:
Is there anything else to the problem
The x-intercept of an equation is the value of x when y is set to be equal to zero. On the other hand, the y-intercept is the value of y when x is set to be equal to zero. From the equation,
x-intercept : <span>3x - 9y = 10.8
3x - 9(0) = 10.8
x = 3.6
y-intercept: </span>3x - 9y = 10.8
3(0) - 9y = 10.8
y = -1.2
Answer:
216 animals
Step-by-step explanation:
Let n represent the number of each type of animal.
Since there are two horses for every horse trough, then n must be divisible by 2. Since there are three cows for every cow trough, then n must be divisible by 3. Since there are eight pigs for every pig trough, then n must be divisible by 8. Therefore, n must be divisible by 2, 3 and 8. The smallest number divisible by 2, 3, and 8 is 24. (This number is called the lowest common multiple or LCM, for short.)
If there are 24 of each kind of animal, there would be 24 ÷ 2 = 12 troughs for horses, 24 ÷ 3 = 8 troughs for cows and 24 ÷ 8 = 3 troughs for pigs. This would require a total of 12 + 8 + 3 = 23 troughs. Since there are 69 troughs and
69 ÷ 23 = 3, we require 3 times more of each type of animal. That is, there would be 24 × 3 = 72 of each type of animal. The total number of animals is 72+72+72 or 216.
Therefore, McDonald has 216 animals.
Hope this helps :)
