The points represented are:
The domain is the set of all the inputs, i.e. the set composed by the x-coordinates of these points.
The range is the set of all the outputs, i.e. the set composed by the y-coordinates of these points.
This relation is a function, because you never map two outputs for the same input (i.e. you don't have two points with the same x-coordinate, but different y-coordinates).
To solve y, we need to make y the only value on the left hand side of the equation:
Therefore the value of y = -14+3x.
Hope it helps!
First convert them to fractions (the answer choices are fractions):
a) 0.333... = 1/3
b) 0.555... = 5/9
Now add a and b:
1/3 (or 3/9 for a common denominator) + 5/9 = 8/9
That fraction is in simplest form, so leave it as it is.
Hope this helps!
Answer:
The Median is 5
Step-by-step explanation:
The median is the middle number in a set of data, when the data has been written in size order.
0 1 2 4 <u>5 5</u> 5 6 6 6
As there is an even number of data the median is the average of the middle two values. As the middle 2 values are both 5, then the average of these is also 5. Therefore, the median is 5.
To find the mean of the set of data, add all the values together then divide by the number of data values:
(0 + 1 + 2 + 4 + 5 + 5 + 5 + 6 + 6 + 6) ÷ 10 = 4
Therefore, the mean is 4.
The Median is a better measure of central tendency as extreme values (outliers) do not affect it. From inspection of the dot plot, the majority of the data values are 5 and 6. Therefore, the lower values *could* be outliers, so 5 is a more realistic measure of central tendency.
Answer:
The value is 
Step-by-step explanation:
From the question we are told that
The population mean is 
The sample size is 
The sample mean is 
The standard deviation is 
The null hypothesis is 
The alternative hypothesis is 
Generally the test statistic is mathematically evaluated as
From the z - table the p-value is obtained and the value is
