Search
{x | x is a real number such that x2 = 1}
In a sample of 240 store customers, 72 use visa card. In another sample of 190, 76 used a mastercard. At 𝛼 = 0.10, is there a difference in the proportion of people who use each type of credit card?
In a sample of 150 ilocanos, 65% wished that they were rich. In a sample of 260 Visayas, 60% wished that they were rich. At 𝛼 = 0.05, is there a difference in the proportions? Find the 95% confidence interval for the difference of two proportions
Reflect on the concept of function.
What concepts (only the names) did you need to accommodate the concept of function in your mind?
What is the simplest function you can imagine?
In your day to day, is there any occurring fact that can be interpreted as a function? Is it possible to view a function?
What strategy are you using to get the graph of a function?
The cost in dollars of making x items is given by the function
C(x) = 10x + 500.
a. The fixed cost is determined when zero items are produced. Find the fixed cost for this item.
b. What is the cost of making 25 items?
c. Suppose the maximum cost allowed is $1500. What are the domain and range of the cost function,
C(x)?
Sketch a graph of a piecewise function. Write the domain in interval notation.
[Suggestion: for example, go to www.desmos.com/calculator and write {-1 < x < 1}
and
y = 3x - 2 {1 < x < 3}
Then choose your own functions and have fun].
Q4. Suppose that a population yy grows according to the logistic model given by formula:
yy = LL
1 + AAee−kkkk .
a. At what rate is yy increasing at time tt = 0 ?
b. In words, describe how the rate of growth of yy varies with time.
c. At what time is the population growing most rapidly?
A= 82°, b=100°, c=78° Find: B
A magic square is an arrangement of n2 numbers into n rows and n columns using distinct numbers from 1 up to n2 such that the sum in any row, any column or any of the two diagonals is fixed. Consider the 4 by 4 magic square below:
a1 a5 2 13a2 10 11 a7a3 6 a4 124 15 a6 1
What is the value of a1 ?
What is the units digit in the expansion of 2 to the power of 727 ?
8
4
2
6
