Answer:
Step-by-step explanation:
The slope-intercept form of an equation of a line:
<em>m</em><em> - slope</em>
<em>b</em> - <em>y-intercept</em>
We have
Substitute:
Mr. Dylan asks his students throughout the year to record the number of hours per week they spend practicing math at home. At th
e end of the year, he creates a scatter plot that models the relationship between exam score and time spent practicing. Which line of best fit will give Mr. Dylan the most accurate linear equation in order to make predictions about this relationship?
1 answer:
Answer:
Here's what I get
Step-by-step explanation:
Assume the scatter plot looked like the one below.
The line of best fit should go as close as possible to all the points without necessarily going through any of them.
Also, the points should be scattered relatively evenly on each side of the line.
The figure shows the best-fit line, with about half the points above it and half below it.
It will give Mr. Dylan the most accurate equation for predicting the student's grades.
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Answer:
42
Step-by-step explanation:
Let the number be "x"
We translate the word equation to algebraic equation.
First,
subtract 6 from me, so we have:
x - 6
Now,
Multiply by 2, so we have:
2(x-6)
Now,
Subtract 40, then divide by 4:
Now, you get "8", so equate this to 8, we get:
We now solve using algebra:
The number is 42
Answer:
$ 7.7
Step-by-step explanation:
Given,
There are 18 $1 bills, ten $5 bills, eight $10 bills, three $20 bills, and one $100 bill,
Total number of bills = 18 + 10 + 8 + 3 + 1 = 40,
Thus,
The probability of $ 1 =
The probability of $ 5 =
The probability of $ 10 =
The probability of $ 20 =
The probability of $ 100 =
If a bill is selected randomly,
The expected value of the bill
= $ 7.7
Answer:
52 weeks
Step-by-step explanation:
The club starting with $270 (club 1) is increasing their bank balance each week by ...
... $280 -270 = $10
The club starting with $10 (club 2) is increasing their bank balance each week by ...
... $25 -10 = $15
Club 2 is gaining on Club 1 by $15 -10 = $5 each week. So, the initial difference of $270 -10 = $260 will be overcome in ...
... $260/($5/week) = 52 weeks
_____
The same result is shown in the attached graph, which also shows that both clubs' bank balances will be $790 at that time.
