Name the property of real numbers illustrated by the equation 2*(√8*7)=(2*√8)*7
2 answers:
<h2>Answer:</h2>
The property that is illustrated by the equation is:
Associative property of multiplication
<h2>Step-by-step explanation:</h2>Associative property--
It states that the elements can be added or multiplied no matter in which order the elements are grouped.
i.e.
a+(b+c)=(a+b)+c
This is the associative property of addition.
and
a×(b×c)=(a×b)×c
This is the associative property of multiplication.
Commutative Property--
It states that two elements of the set when operated gives the resultant as the same when the two are operated in any order.
i.e.
a+b=b+a This is commutative property of addition.
and
a×b=b×a This is the commutative property of multiplication.
Distributive Property--
Also, for any three elements a,b,c by the distributive property states that:
a(b+c)=ab+ac
Here we have the equation as:
This is the associative property of multiplication.
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Answer: Both in favor and against: 3/6 OR 1/2 OR 50%.
Step-by-step explanation: Both in favor and against: 3/6 OR 1/2 OR 50%.
The probability of rolling one die and getting any digit is . That is because the desired outcome is only 1 digit out of the 6 total digits on each of the six sides.
That means the probability of rolling either a 1, a 2, or a 4 <em>if you are looking for any of those numbers specifically, </em>is . But! You are looking to roll a 1, a 2, or a 4, without any preference among those three. Therefore, you are going to add the desired outcomes.
= 0.5 = 50%
Above, are added the probability of rolling a 1 PLUS the probability of rolling a 2 PLUS the probability of rolling a 4, yielding a 50% probability.
Think about it. There are six total digits on a die. You are okay with rolling three of those. Three is half of six. Therefore, the probability of rolling the number you'd like is one-half, fifty-percent.
Likewise, since the probability of all complement events happening is 1 (or 100%), The odds against rolling either 1, 2, or 4 is also fifty-percent. 100% (which is rolling <em>any </em>number on a die) MINUS 50% (which is rolling a 1, a 2, or a 4 with no preference) EQUALS TO 50% (which is rolling a 3, a 5, or a 6).
Answer:
The remainder would be 1 or 3
Step-by-step explanation:
Consider the 5 consecutive positive integers are,
x, x + 1, x + 2, x + 3, x + 4,
Since, the average of these 5 numbers =
= x + 2
If x + 2 = odd,
⇒ x = odd - 2 = odd - even = odd
⇒ x + 4 = odd + even = odd
∵ an odd number is represented by '2n + 1'
Where, n = 0, 1, 2, 3, ........
Now, 2n + 1 = 1( mod 4) if n = even
While, 2n + 1 = 3( mod 4) if n = odd,
Hence, when the largest of the five integers is divided by 4 remainder would be 1 or 3.