Step-by-step Answer:
One of the properties of a least-squares regression line (line of best fit) is that the line always passes through the point (xbar, ybar).
Assuming the given "line of best fit" is a least-squares line, then we are given
a slope m=1.885 passing through (x0,y0)=(3.448,12.318).
Applying the standard point-slope formula:
(y-y0) = m (x-x0)
we get
y-12.318 = 1.885(x-3.448)
Expand and simplify,
y=1.885x -1.885*3.448 + 12.318, or
y=1.885(x) + 5.81852
(numbers to be rounded as precision dictates).
Answer:
Final answer is A. 
.
Step-by-step explanation:
Given expression is 
.
We can factor that by splitting middle term into two parts then do grouping as shown below:
Which correctly matches with choice A. .
Hence final answer is A. .
Answer:
1/3 or 33.33%
Step-by-step explanation:
Each draw is an independent event, and it doesn't happen what happened before, since the coin is placed back in the bag, recreating the same scenario.
There are 3 coins in the bag... so drawing out the coin labeled '1' is one possibility out of three possible outcomes.
1/3 or 33.33%
Answer: The correct answer is: [D]: "8" .
Step-by-step explanation:f y varies inversely with x; then y = k/x ; with "k" being the "constant" in this equation.
You can find the constant by substituting the values given: x = 16, f(x) = y = 2 ;
So, f(x) = y = 2 = k/16 ;
→ 2 = k / 16 ;
Solve for the constant; "k" ;
Multiply EACH SIDE of the equation by "16"
→ 16* (2) = (k / 16) * 16 ;
→ 32 = k ;
↔ k = 32 ;
As such, we can write the equation:
y = k/ x ; as:
→ y = 32/ x ;
Since we are given: "x = 4" ; Plug in that value; and solve for "y" ;
y = 32/4 = 8 .
y = 8 .
y = f(x) ;
So; f(x) = 8 ; which is: Answer choice: [D]: "8" .
Answer:
There are 40 musicians that are only marching band.
Step-by-step explanation:
Since we knot that there are 25 musicians that do both that means there is 60 - 25 = 35 musicians who do only jazz band. From his we can answer the question because....
100 = a + b + c
Where "a" is the number of musicians who go only to jazz, "b" is the number of people who do both, and "c" is the number of people that go only to the marching band. From here we can do this....
100 = a + b + c
c = 100 - a - b
Substitute the value we found outa and get.....
c = 100 - 35 - 25
c = 40
