Answer:
1. sin P = 20/29
cos P = 21/29
tan P = 20/21
sin Q = 21/29
cos Q = 20/29
tan Q = 21/20
2. We can notice that the sin and cos of P vs Q are switched and the tan's are a reciprocal of each other
Step-by-step explanation:
For Part 1
With knowledge of SOH CAH TOA
Sin = Opp/Hyp
Cos = Adj/Hyp
Tan = Opp/Adj
So:
sin P = 20/29
cos P = 21/29
tan P = 20/21
sin Q = 21/29
cos Q = 20/29
tan Q = 21/20
For Part 2
We can notice that the sin and cos of P vs Q are switched and the tan's are a reciprocal of each other
What is the standard deviation of the data? Round to the nearest whole number.
65
75
100
130
The standard deviation of the given set is:
S = 130.
Here we have the set:
{700, 735, 680, 890, 755, 740, 670, 785, 805, 1050, 820, 750}
First, we need to get the mean of the set which is:
Then the standard deviation is:
So we conclude that the standard deviation, rounded to the next whole number, is S = 130
If you want to learn more about standard deviation:
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a) 5
b) -1
c) 6
d) 2
Answer:
a) 5
Step-by-step explanation:
x+2 = 2x-3
-x -x
2 = x-3
+3 +3
5 = x
C. write in words what the y-intercept of the graph means in context.
D. write in words what the graph of the line is showing.
The graph has a positive slope, is non-proportional, and has a y-intercept of 2. The slope represents the rate of change between the x and y variables. The y-intercept represents the value of y when x is 0. The graph shows a relationship where y increases by a constant rate of 3 for every one unit increase in x.
A. The graph has a positive slope. It is non-proportional as the points do not lie on a straight line. The y-intercept is 2.
B. The slope of the graph represents the rate of change between the x and y variables. In context, it means that for every unit increase in x, y increases by 3 units.
C. The y-intercept of the graph represents the value of y when x is 0. In context, it means that when x is 0, y is equal to 2.
D. The graph of the line is showing a relationship between x and y variables, where y increases by a constant rate of 3 for every one unit increase in x, starting from a y-value of 2 when x is 0.
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In a graph, the slope describes the rate of change, and the y-intercept is where the line intersects the y-axis. A positive pitch rises from left to right, while a negative one falls. A proportional graph reflects a constant rate of change, while a non-proportional one shows a non-constant rate of change.
We need to know the specifics of the graph to explain the components you've asked about. A positive slope on a chart is represented by a line that rises from left to right, while a negative slope descends from left to right. The value of the pitch can be determined by the rise over run (change in y / change in x).
A graph is proportionalif the line passes through the origin (0,0) and has a constant slope. If it doesn't, it's considered non-proportional, meaning the change rate is unstable.
The y-intercept is the point where the line intersects with the y-axis. In the context of an equation, it's the value of 'y' when 'x' equals zero.
A graph's slope depicts the change rate between the two variables. The y-intercept typically represents the starting value or the value of 'y' when 'x' has yet to apply. Finally, the overall graph of a line shows the relationship between two variables, represented in a way that changes in one variable correspond with a change in another.
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