Answer:
Sample response:
To determine the relationship between quantities, you must determine what to do to the x-values to make them into y-values. The correct operation must turn every x-value into the corresponding y- value in the table. Once you know the relationship, you can use the same operation on all of the x-values that have unknown y-values.
OR:
In a table to get from x to y you have to multiply by a number. To find this you must divide x by y or y by x. So to get the missing quantities you must multiply the last known number by the number you found by dividing.
2. 1/3 + 1/3 = 2/3
2/6 + 2/6 = 4/6 = 2/3
1/3 + 2/6 = 2/3
3. 3/6 - 2/6 = 1/6 2/2 - 1/2 = 1/2
2/3 - 1/6 = 1/2 5/6 - 1/2 = 1/3
Answer:
20 percent
Step-by-step explanation:
100(%) (all 5 balls) ÷ 5 = 20(%)
Question:
Find the point (,) on the curve
that is closest to the point (3,0).
[To do this, first find the distance function between (,) and (3,0) and minimize it.]
Answer:

Step-by-step explanation:
can be represented as: 
Substitute
for 

So, next:
Calculate the distance between
and 
Distance is calculated as:

So:


Evaluate all exponents

Rewrite as:


Differentiate using chain rule:
Let


So:



Chain Rule:




Substitute: 

Next, is to minimize (by equating d' to 0)

Cross Multiply

Solve for x


Substitute
in 

Split

Rationalize



Hence:

Answer:
a. 8 outcomes
b. Discrete Variable
c. See explanation below
Step-by-step explanation:
a.
Let N = No Offers made
Let Y = Offers made
The Expected outcome are as follows:
NNN, NNY, NYN, YNN, NYY, YNY, YYN, YYY
= 8
b.
Let x = number of offers made
X is said to be discrete if x can take values that are restricted to a defined or limited values
X is said to be continuous if x can take a range of values that is not restricted to any range(i.e. continuous)
Looking at the brief description above, we can conclude that x is discrete
c.
NNN, 0
NNY, 1
NYN, 1
YNN, 1
NYY, 2
YNY, 2
YYN, 2
YYY, 3
Where 0 to 3 represents number of offers at every instance