Hello!
The denominators are equal, so we can simply combine the numerator:
Combine like terms in the numerator:
Factor out 2 from the entire fraction:
Cancel out 2 from both the numerator and denominator:
Factor the numerator to simplify further:
Cancel out x - 1:
Answer:
The new mean is 76.2
Step-by-step explanation:
Given
Given
Old mean = 71.3
Every observation is increased by 4.9.
Let the data set has N entries, then
The new mean would be
(71.3 *N + 4.9*N)/N
The new mean = 71.3 + 4.9 = 76.2
Answer:
8, 10, 5
Step-by-step explanation:
7+8=15, 7+10=17, 7+5=12. You’re basically substituting the numbers in for n and seeing if its greater than or equal to 12.
It's important to say that a conjecture, in mathematics, it's a conclusion based on certain evidence and it's supposed to be true. In this case, we have the conjecture: <em>The difference between any two whole numbers is a whole number. </em>
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When you have a conjecture, the first thing you have to do is to make sure you know the meaning of each part. For example, you have to know what a whole number is. Basically, whole numbers are all the number from 0 to infinite (not decimal, not fractions), it doesn't include negative numbers.
Once you know what a whole is, then you can analyze the conjecture. Notice that the conjecture states that the difference of two whole numbers is a whole number, but if you subtract 2 - 5 you would get -3 which is an integer but not a whole number.
<h2>Therefore, the difference 2 - 5 can be a counterexample of the conjecture, proving that it's not true for all cases possible.</h2>
Answer:
COOL
Step-by-step explanation: