Answer:
Associative Property
Step-by-step explanation:
Commutative: 35+(45+25) = (25+45)+35
Associative: 35+(45+25) = (35+45)+25
Distributive: cannot be done
hope this helps!
Answer:
Step-by-step explanation:
Let X be the no of vehicles that require warranty service within I year out of vehicles sold (9) yesterday.
Each vehicle is independent of the other to get warranty service
Hence X is binomial with p=8% = 0.08
So P(X=x) = 
c) 
d) Mean = Mean of binomial = np =
Var (x) = npq = 
Std dev = square root of variance = 0.8139
Answer:
This is easy -- it's just a list of steps. At this level, the problems are pretty simple.
Let's just do one, then I'll write out the list of steps for you.
Find the inverse of f( x ) = -( 1 / 3 )x + 1
STEP 1: Stick a "y" in for the "f(x)" guy:
y = -( 1 / 3 )x + 1
STEP 2: Switch the x and y
( because every (x, y) has a (y, x) partner! ):
x = -( 1 / 3 )y + 1
STEP 3: Solve for y:
x = -( 1 / 3 )y + 1 ... multiply by 3 to ditch the fraction ... 3x = -y + 3 ... ditch the +3 ... subtract 3 from both sides ... 3x - 3 = -y ... multiply by -1 ... -3x + 3 = y ... y = -3x + 3
STEP 4: Stick in the inverse notation, f^( -1 )( x )
f^( -1 )( x ) = -3x + 3
Step-by-step explanation:
For this case what we must do is find a quadratic function that is already factored.
This is because in the factored quadratic equations, it is easier to observe the zeros of the function.
In this case, the zeros of the function represent the time at which the company did not make any profit.
We have the following equation:
p (t) = 40 (t - 3) (t + 2) (t - 5) (t + 3)
We observed that there was no gain in:
t = 3
t = 5
The other roots are discarded because they are negative
Answer:
a.p (t) = 40 (t - 3) (t + 2) (t - 5) (t + 3)
Answer:
y > (1/3)x - 3.
Step-by-step explanation:
The graph of a line can be written in y = mx + b form where b is the y-intercept and m is the slope.
In the image, the slope of the graph from the given points is 1/3.
In the image, the y-intercept is -3.
Therefore, the line is y = (1/3)x -3. However, we aren’t done yet! This is an inequality, not an equation!
We see the line isn’t dotted, so that means it must be > or <.
We substitute the point (0,0) into the line equation we got and find that 0 > (1/3)(0) - 3 = -3. Since (0,0) is part of the inequality, we have that y > (1/3)x - 3.
I hope this helps! :)
