Search & Filtering
What is the area under the normal curve that corresponds to z = 1.36?
Directions: find (f-g) (x) using the two functions given in each number.
1. F(x) = 3x+3
g(x) = -4x+1
2. F(x) = 2x+5
g(x) = 4x² +2x-2
3.f(x)=5x+1
g(x) =3x-2
4.f(x) -15 x² -2x+5
g(x) = 3x2+x-7
5.f(x) = 3x² - 2x+1
g(x) = 4x² +5x-4
Suppose that 53 of the 55 Information Technology students of University of Northern Philippines are taking atleast one of the mathematics subjects Mathematics in the Modern World, Discrete Mathematics, and Data management. Also suppose that: 24 taking Mathematics in the Modern World, 26 taking Discrete Mathematics, and 20 taking Data Management, 5 taking Mathematics in the Modern World and Discrete Mathematics, 7 taking Mathematics in the Modern World and Data Management, 8 taking Discrete Mathematics and Data Management.
A. Fill in the correct number of students in each of the eight regions of the Venn Diagram.
B. Find the number of students who are taking all three mathematics subjects.
C. Determine the number of students who are not taking any of the three mathematics subjects?
D. How many students were taking Mathematics in the Modern World as their only mathematics subject?
A professor grades student on 4 tests, a term paper, and a final examination. Each test counts as
15% of the course grade. The term paper counts as 20% of the course grade. The final
examination counts as 20% of the course grade. Alan has test scores of 80, 78, 92 and 84. Alan
received an 84 on his term paper. His final examination score was 88. Use the weighted mean
formula to find Alan’s average for the course. Hint: The sum of all weights is 100% = 1.
Box A and Box B both contain the numbers 1,2,3, and 4. Construct the probability mass function and draw the histogram of the sum when one number from each box is taken at a time, with replacement
NTJ Distributors Ltd has has an annual demand for an airport metal detector of 1400 units. The cost of a typical detector is $400. Carrying cost is estimated to be 20% of the unit cost and the ordering cost is $25 per order. If Tricia Joseph, the owner, orders in quantities of 300, he can get a 4% discount on the cost of the detectors. Should the company accept the discount?
The buyer for Payless Shoe store decided to order a woman’s shoe at a buyers’ meeting in Miami. The shoe will be part of the company’s Christmas promotion. New designs are coming out after Christmas, so the shoes have to be sold during the Christmas season. Payless plans to hold a special December clearance sale, in an attempt to sell all shoes not sold by November 31st. The shoes will retail at $50 per pair and the company makes a profit of $15 on each pair. At the sale price of $21 per pair, all surplus shoes can be expected to sell during the December sale. The expected demand for the shoes is 700 pairs with a standard deviation of 300 pairs. How many pairs of the shoe should the buyer order?
1. If the height of adults in Illinois State University can be modelled using H~ N(174,35.7). Where the height is measured in centimeters
a. What type of data is this? (4 points)
b. What is the probability that a randomly selected adult from the University has height between 166 and 183? (14 points, show your work)
The acceleration of an object moving in a strange way has
been modelled as:
a = x ∙ e^x
Use integration by parts to find an equation to model the
velocity, v, given that v = ∫ x ∙ e^x dx
1. Let p, q, and r be the propositions
p: You have the flu.
q: You miss the final examination.
r: You pass the course.
Express each of these propositions as an English sentence.
a) p → q
b) ¬q ↔ r
c) q →¬ r
d) p ∨ q ∨ r
e) (p → ¬r) ∨ (q → ¬r)
