Answer:
x = -1/2
Step-by-step explanation:
To solve the equation, we first need to combine like terms:
Simplify further:
Divide by -12 on both sides to get:
To check the solution, plug x back into the original equation and check if we get the correct answer:
Thus, it checks out and our answer is correct.
Answer:
The degree is "2" and the number of term is "2(binomial)"
Step-by-step explanation:
Considering the expression
Largest sum of any term is known as the degree.
Now simplify as follows,
So, the degree is 2 because the largest sum of power is known as degree
And the number of terms is two (2) it means it is binomial.
∵ The degree is "2" and the number of term is "2(binomial)"
Answer:
a)
b) Median =40
c) Bimodal distribution 40,45 with a frequency of 2 for each one
Step-by-step explanation:
Part a
The statistical mean refers "to the mean or average that is used to derive the central tendency of the data in question. It is determined by adding all the data points in a population and then dividing the total by the number of points". And is defined:
And for this case if we apply this formula we got:
Part b
The median is a "measure of central tendency. To find the median, we arrange the observations in order from smallest to largest value. And we have two possible cases:
1) If there is an odd number of observations, the median is the middle value. 2) If there is an even number of observations, the median is the average of the two middle values."
So if we order the dataset we got:
31,33,39,40,40,42,44,45,45
Since we have an odd number of observation n=9, the median would be just the middle value on position 5 and for this case Median =40
Part c
The mode of a set of data values is the value that appears most often. As a set of data can have more than one mode, the mode does not necessarily indicate the centre of a data set.
For this case we have a bimodal distribution and the corresponding values are 40 and 45 with a frequency of 2 for each one.