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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)
BAT Industries is a manufacturer of orange juice in Jamaica. In 2022 it sold a bottle of orange juice to wholesalers for $100 and its variable costs is $40 and fixed costs is $100,000 monthly:
Using the information provided.
i. How many bottles of orange juice must the company sell in order to break even and what is the breakeven revenue?
ii. If the company sold 1,500,000 bottles of orange juice for the year 2022, what was its profit?
iii. Due to inflation, in 2023 fixed costs are expected to rise to $175,000 monthly. What will be the NEW break-even quantity and revenue?
iiii. If the company will sell the same number of orange juice as it did in 2022 and it wants to make the same profit as in 20222, what price should they sell each bottle of orange Juice for in 2023?
Can some working out be shown please?
Prove or disprove: For all x ∈Z,if x mod11=5,then x 2 mod11=3.
Briefly explain different data presentation techniques.
Construct a frequency distribution of weights of miniature poodles if the class marks
are 6.5, 8.5, 10.5, 12.5 and 14.5 kgs with corresponding frequencies 8, 12, 22, 17 and 3.
#339914 on Dec 2023