As an algebraic expression, six less than a number p is simply: p-6
p is less than 12.
9-p
A way to visulize this is to start with asking "what situation has the least probability" on one roll of a six-sided die. The answer is any particular number, say a 1. Since there are six possible numbers, the probability is 1-in-6 or 1/6 = 0.17 (17%); now, since the total probability of any set added to the probability of the opposite outcome must be 1, then it stands that the probability of getting any of the 5 remaining numbers (2 through 6) is 1 - 0.17 = 0.83 (83%).In fact, for any n-sided die, the probability, on one roll, of getting one of m numbers in the set of nnumbers is m/n.Answer: if n = 6, and m = 4, because there are only 4 numbers on a six-sided die less than 5, the probability, P = 4/6 = 0.67 (67%).Now let's extend the question and ask: what is the probability of getting a number less than 5 in each of two rolls. To answer, we must accept that each roll is a mutully exclusive set. That means the each roll has no impact whatsoeveron any other roll. Now, one could argue that this is never the case, because when the die bounces on the table, it changes the surface structure, or your hand muscles are stressed from the first roll, etc., but you would dramatically change the nature of the probability sets and make this far too technical a situation to be handled here. But in general, we say that these two die rolls have no impact on one another and are therefore mutually exclusive.To find the probability of two mutually exclusive sets, we simply multiply the separate probabilities. Keep in mind that while the two sets are mutually exclusive, the sum of the combined probabilities, plus the opposite of the two, must be 1 (or 100%).So, if the probability of rolling a 1,2,3, or 4 in one throw is 0.67, the doing the same in two throws is 0.67 * 0.67 = 0.44 (44%); hopefully you intuitively predicted that the probability would go down. Therefore, the probability of not throwing anything less than a 5 twice in a row is P = 1 - 0.44 = 0.56 (56%); keep in mind: this is not the probability of throwing a 5 or 6 twice in a row; it simply means not throwing a 1, 2, 3, or 4 twice in a row; for example, this could mean throwing a 1,2,3, or 4 the first time, but then throwing a 5 or 6 the second time. You have to ask "what are all the situations where it wouldn't be true?". Knowing that the probability of the opposite occurring is 56%, this should intuitively tell you that this "opposite" probability set has more possibilities.Try this on your own: What is the probability of rolling exactly a 5, then rolling exactly a 1? Hint: what is the probability of each case on its own?
Angle q will be less than 90 degrees because a right angle is 90 degrees and the 3 angles in a triangle add up to 180 degrees.
p-4
p^2-3
5/p - 10.
22
To express a number ( p ) decreased by six, you write it as ( p - 6 ). This notation indicates that you are subtracting six from the value of ( p ).
The algebraic expression for "p less than 4" is written as ( p < 4 ). This inequality indicates that the value of ( p ) can be any number that is less than 4. It does not specify a particular value but rather a range of values that satisfy the condition.
To determine if .032 is less than p, you need to know the value of p. If p is greater than .032, then yes, .032 is less than p. If p is equal to or less than .032, then the statement is false.
There is a 4 in 6 (or 2 in 3) probability of rolling a number less than a five on a standard number cube.
To express "number P decreased by six," you can write the mathematical expression as ( P - 6 ). This notation indicates that you start with the value of P and subtract six from it.
Three less than ( p ) is expressed mathematically as ( p - 3 ). This means you subtract 3 from the value of ( p ). For example, if ( p ) is 10, then three less than ( p ) would be 7.
4p - 9 > 15
Well, darlin', if you wanna get technical, "8 less than a number" simply means you gotta subtract 8 from that mysterious number you got floatin' around in your head. So, if your number is x, then 8 less than that would be x - 8. But hey, who am I to tell you what to do with your numbers?
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