Answer: 1/2
Step-by-step explanation: To find out what fraction is greater, notice that the fractions that we're comparing in this problem have different denominators.
When fractions have different denominators, they're called unlike fractions.
To compare unlike fractions, we must first get a common denominator. The common denominator of 2 and 12 will be the least common multiple of 2 and 12 which is 12.
To get a 12 in the denominator of 1/2, we multiply the numerator and the denominator by 6 which gives us 6/12.
Notice that 1/12 already has a 12 in the denominator so now we are comparing like fractions since both of them has a 12 in the denominator.
To compare like fractions, we simply look at the numerators. Since 6 is greater than 1, this means that 6/12 is greater than 1/12.
Therefore, 1/2 is greater than 1/12.
Answer:
x=2
Step-by-step explanation:
Distribute the 9
9x+9=25+x
Move x to one side. I prefer to keep the x term positive, so I would move the term on the right to the left in this situation.
8x+9=25
Isolate the x term
8x=16
Isolate the variable
x=2
Answer: 95%
Step-by-step explanation:
Given : The results of a national survey showed that on average, adults sleep 
hours per night.
Standard deviation: 
hours
a) To find : the percentage of individuals who sleep between 3.8 and 11 hours per day.
Note that 
i.e. 3.8 is 2 standard deviations less than the mean value.
i.e. 11 is 2 standard deviations more than the mean value.
According to the empirical rule , about 95% of the population falls within 2 standard deviation from the mean.
⇒ About 95% of individuals who sleep falls within 2 standard deviation from the mean i.e. between 3.8 and 11 hours per day .
Hence, the approximate percentage of individuals who sleep between 3.8 and 11 hours per day = 95%
9x^2(2x^2 + 3x -4) / 9x^2
= 2x^2 + 3x -4
The answer is A. Hope this helps!
Answer:
We choose D.
Step-by-step explanation:
The question is which statement is true?
A. 33% of the people surveyed were vegetarian and though saving energy was not important
=> It is wrong because we do not know the total number of people who were surveyed.
B. This statement is wrong, because we also have 26% non - vegetarian though saving energy was not important
C. This statement is wrong, because there are 38% non - vegetarian though saving energy was not important and only 26% non - vegetarian though saving energy was very important
D. True because there are 36% non - vegetarian though saving energy was somewhat important while there are 17% vegetarian think so. Hence, a person who was not a vegetarian was morel likely than a vegetarian to think that saving energy is somewhat important
=> We choose D.
