Step-by-step explanation:
2x+98=180° (angles in straight line )
2x=180-98
x=2/2
x=1
A Function is defined as the relation between the input and the output where one input can have only one output
When graphing functions, the x-axis denotes the inputs and the y-axis denotes the output of the function
Looking at the graph, we see that for one input (point on the x-axis) we have only one output (point on the y-axis)
Hence, we can say that this graph represents a function
Answer:
Range of the given function = -4
Step-by-step explanation:
Range is the set of output values.
In a graph, the set of x-values of the function is know as domain and the set of y-values of the function is known as range.
In the graph red line represents the function.
From the given graph it is clear that the function is defined from x=-1 to x=4.
For each value of x the y-value is -4.
Hence, the range of the function is -4.
Step-by-step explanation:
a probability is always desired cases over total possible cases.
so, we have actually 8 systems (5 + 3) we can pick from.
therefore, the total possible cases are 8.
the desired case is in this question to pick one of the 3 Wii consoles.
the probability to pick a Wii is therefore
3/8 = 0.375
The two dot plots are missing, so i have attached it.
Answer:
The mean at the beginning of the school year was 9.5 miles and the mean at the end of the school year was 10.2 miles
Step-by-step explanation:
From the attached image, we are told to compare the means for each plot to the nearest tenth.
Mean = Σx/n
Now, from the image, total number of miles run by the 14 students at the beginning of the school year is;
(1 × 7) + (2 × 8) + (4 × 9) + (4 × 10) + (2 × 11) + (1 × 12) = 133
Mean of miles run at the beginning of the school year = 133/14 = 9.5 miles
Again, from the table, total miles run at the end of the school year = (2 × 8) + (2 × 9) + (4 × 10) + (3 × 11) + (3 × 12) = 143
Mean of miles run at the end of the school year = 143/14 = 10.2 miles
Thus;
The mean at the beginning of the school year was 9.5 miles and the mean at the end of the school year was 10.2 miles
