It's just an estimate. There's no telling how close it is.
To estimate using just the information in the table,
ASSUME that the average of all the students in each
slot is the average time of that slot.
I know that's confusing. I can't think of a better way to say it,
so here are two examples of what I mean. Look at the table:
-- 6 students said that they spent between 0 and 30 minutes.
ASSUME that those 6 students averaged 15 minutes each.
-- 21 students said that they spent between 60 and 90 minutes.
ASSUME that those 21 students averaged 75 minutes each.
So, when you add up the times for all 50 students, you'll have
(6 x 15 min) + (14 x 45 min) + (21 x 75min) + (9 x 105 min) =
When you total up all those times, divide it by 50 to estimate
the average per student.
Remember ... it's only an estimate.
If the first group had 1 student that spent 2 minutes, and
the other 5 of them spent 29 minutes, then it won't work.
But you'll never know.
Answer:
Step-by-step explanation:
see attached to identify which is the tenth's place
How you round the tenth's place depends on the digit in the hundredths place.
If the hundredths digit is less than 5, then you keep the tenths place the same (i.e round down)
If the hundredths digit is greater or equal than 5, then you increase the tenths place by 1 (i.e round up)
Answer:

General Formulas and Concepts:
<u>Pre-Algebra</u>
Distributive Property
<u>Algebra I</u>
<u>Calculus</u>
Derivatives
Derivative Notation
Derivative of a constant is 0
Trig Differentiation
Derivative Rule [Chain Rule]: ![\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7Bd%7D%7Bdx%7D%5Bf%28g%28x%29%29%5D%20%3Df%27%28g%28x%29%29%20%5Ccdot%20g%27%28x%29)
Implicit Differentiation
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
sin(x) + cos(y) + sec(xy) = 251
<u>Step 2: Differentiate</u>
- [Implicit Differentiation] Trig Differentiation [Chain Rule]:
- [Subtraction Property of Equality] Isolate
terms: 
- [Distributive Property] Distribute sec(xy)tan(xy):

- [Subtraction Property of Equality] Isolate
terms: 
- Factor out
: ![\displaystyle \frac{dy}{dx}[-sin(y) + xsec(xy)tan(xy)] = -cos(x) - ysec(xy)tan(xy)](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7Bdy%7D%7Bdx%7D%5B-sin%28y%29%20%2B%20xsec%28xy%29tan%28xy%29%5D%20%3D%20-cos%28x%29%20-%20ysec%28xy%29tan%28xy%29)
- [Division Property of Equality] Isolate
: 
Topic: AP Calculus AB/BC (Calculus I/II)
Unit: Implicit Differentiation
Book: College Calculus 10e
Answer:
The lines are
i) y=-x+6
ii) y=2x-3
The solution of the system of equations is found by equalizing the 2 equations:
-x+6=2x-3
-2x-x=-6-3
-3x=-9
x=-9/(-3)=3
substitute x=3 in either i) or ii):
i) y=-3+6=3
ii) y=2(3)-3=6-3=3
(the result is the same, so checking one is enough)
This means that the point (3, 3) is a point which is in both lines, so a solution to the system.
In graphs, this means that the lines intersect at (3, 3) ONLY
Answer: The graph where the lines intersect at (3, 3)
Answer:
x=-20
Step-by-step explanation:
x-10=-30
x-10+10=-30+10
x=-20