The slope of the best fit for the 3 given points is 500, so the correct option is b.
<h3>How to find the slope?</h3>
Remember that for a line that passes through two points (x₁, y₁) and (x₂, y₂) the slope is:
With the 3 given points we can find 3 slopes, and then we will need to find the average of these 3.
The 3 points are: (3, 2,750), (6, 4,200), and (9,5,750)
Then the 3 slopes are:
The average slope is:
So the correct option is b.
If you want to learn more about slopes:
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Answer:
Step-by-step explanation:
Hello!
The objective is to estimate the average time a student studies per week.
A sample of 8 students was taken and the time they spent studying in one week was recorded.
4.4, 5.2, 6.4, 6.8, 7.1, 7.3, 8.3, 8.4
n= 8
X[bar]= ∑X/n= 53.9/8= 6.7375 ≅ 6.74
S²= 1/(n-1)*[∑X²-(∑X)²/n]= 1/7*[376.75-(53.9²)/8]= 1.94
S= 1.39
Assuming that the variable "weekly time a student spends studying" has a normal distribution, since the sample is small, the statistic to use to perform the estimation is the student's t, the formula for the interval is:
X[bar] ± * (S/√n)
6.74 ± 2.365 * (1.36/√8)
[5.6;7.88]
Using a confidence level of 95% you'd expect that the average time a student spends studying per week is contained by the interval [5.6;7.88]
I hope this helps!
Answer:
Option C.
Step-by-step explanation:
It is given that Stella rewrites −212+3.7 as 3.7−212.
We need to find which property did she use.
According to commutative property of addition,
Where, A and B are any real values.
In the given expression −212+3.7, A=-212 and B=3.7.
Using commutative property of addition, we get
So, she used commutative property.
Therefore, the correct option is C.