A line which represents the line of best fit is: C. Line B.
<h3>What is a line of best fit?</h3>
A line of best fit is sometimes referred to as a trend line and it can be defined as a statistical or analytical tool that is commonly used in conjunction with a scatter plot, in order to determine whether or not there is any form of association and correlation between a data set.
<h3>The characteristics of a line of best fit.</h3>
In Mathematics, there are different characteristics that are used for determining the line of best fit on a scatter plot and these include the following:
- The line should be very close to the data points as much as possible.
- The number of data points that are above the line should be equal to the number of data points that are below the line.
By critically observing the scatter plot using the aforementioned characteristics, we can reasonably and logically deduce that line B represents the line of best fit because the data points are in a linear pattern.
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Answer:
A
Step-by-step explanation:
the probability should always be the same unless the event is different.
Answer:
A. 7 and 3
&
B. 1 and 5
Step-by-step explanation:
Corresponding angles are a pair of angles each of which is on the same side of one of two lines cut by a transversal and on the same side of the transversal.
The answers are:
•8 and 4
•5 and 1
•7 and 3
•6 and 2
I hope this helps! I'm sorry if it's wrong.
Answer:
B.
Step-by-step explanation:
Answer:
a) a= (3/4)t
4a = 3t
b = (5/2)t
2b = 5t
b)See explanation below
c) It will take 30.075 hours for the whole business to make at least $500 profit
Step-by-step explanation:
a) First we would represent the information given in terms of amount of bracelet produced and time spent in production with variables in order to convert to linear equations
Let number of bracelet Darrelle makes = a
Number of bracelet Danica makes = b
Let the time spent in producing them in hours = t
Darrelle takes 4 hours to make 3 bracelets:
Rate of producing bracelet = (number of bracelet produced)/time
Rate = a/t = 3/4
4a = 3t
Linear equation form: y = mx + c
a= (3/4)t
The above equation is in the slope-intercept form indicating the intercept = 0 and slope = 3/4
4a - 3t = 0 (equation in standard form )
Danica makes 5 bracelets every 2 hours:
Rate of producing bracelet = (number of bracelet produced)/time
Rate = b/t = 5/2
2b = 5t
Linear equation form: y = mx + c
b = (5/2)t
The above equation is in the slope-intercept form indicating the intercept = 0 and slope = 5/2
2b - 5t = 0 (equation in standard form)
b) The equations are linear equations, hence they can be graphed.
But as regards graphing using special functions, this answer can only be answered by you as I'm not aware of the special functions discussed in the course.
c) Darrelle makes $10.50 in profit per bracelet.
Danica makes $3.50 in profit per bracelet
Since Darrelle and Danica work the same amount of time, we have to find the relationship between their profit, the number of bracelets produced and the time.
Profit for Darrelle for 'a' number of bracelet product = $10.50 × a = $10.50a
Profit for Danica per 'b' number of bracelet product = $3.50 × b = $3.50b
Let P = total profit made by both
P = $10.50a + $3.50b
Relationship of profit in terms of time spent in production when they work same amount of time:
P = $10.50(3/4 ×t)+ $3.50(5/2 × t)
P = 16.625t
When P = $500, t = ?
500 = 10.50(3/4 ×t)+ 3.50(5/2 × t)
500 = 7.875t + 8.75t
500 = 16.625t
t = 30.075 hours
It will take 30.075 hours for the whole business to make at least $500 profit
