Based on the line of best fit, the length of this catfish can be predicted to be 38 inches.
<u>Given the following data:</u>
- Weight of catfish, x = 40 pounds.
<h3>What is a line of best fit?</h3>
A line of best fit is also referred to as a trend line and it can be defined as a statistical (analytical) tool that is used in conjunction with a scatter plot, in order to determine whether or not there's any correlation between a data.
From the graph of the data, we have the following linear equation:
Substituting the value of x, we have:
y = 38 inches.
Read more on scatterplot here: brainly.com/question/6592115
Here , we are provided with a table which shows 5 consecutive terms of an arithmetic sequence . But before solving further , let's recall that ;
The n'th term of a Arithmetic Sequence let's say it be is given by ;
Where , <u>d</u> is the common difference
Now , here we are given with ;
We have to find the 2nd , 3rd and 4th term respectively ,
Now , by using the above formula , 5th term can be written as ;
Putting the values and transposing 1st term to RHS , we have ;
Now , as we got the common difference , so we can find out the missing terms now ;
Now
Also ,
Now , The given table can be written as ;
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Answer:
14
Step-by-step explanation:
1. Do the "Two Mark" Rule
- 7 + (+12) - 5
2. Do your addition before subtracting
- 7 + 12 = 19
3. Subtract your remaining two numbers
- 19 - 5 = 14
<h2>Hello!</h2>
The answer is:
C. Cosine is negative in Quadrant III
<h2>
Why?</h2>
Let's discard each given option in order to find the correct:
A. Tangent is negative in Quadrant I: It's false, all functions are positive in Quadrant I (0° to 90°).
B. Sine is negative in Quadrant II: It's false, sine is negative in positive in Quadrant II. Sine function is always positive coming from 90° to 180°.
C. Cosine is negative in Quadrant III. It's true, cosine and sine functions are negative in Quadrant III (180° to 270°), meaning that only tangent and cotangent functions will be positive in Quadrant III.
D. Sine is positive in Quadrant IV: It's false, sine is negative in Quadrant IV. Only cosine and secant functions are positive in Quadrant IV (270° to 360°)
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