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B. The O'Neill Shoe Manufacturing Company will produce a special-style shoe if the order size is large enough to provide a reasonable profit. For each special-style order, the company incurs a fixed cost of $1000 for the production setup. The variable cost is $30 per pair, and each pair sells for $40.
a. Let x indicate the number of pairs of shoes produced. Develop a mathematical mode
for the total cost of producing repairs of shoes.
b. Let P indicate the total profit. Develop a mathematical model for the total profit realized from an order for x pairs of shoes.
c. What is the breakeven point?
What is the value of this statement -B if B = F.
A. True
B. False
What is the value of this statement -(B VC) if B=F.C=T.
A. True
B. False
What is the value of this implication p→qif p = F and q = F.
A. True
B. False
Determine whether the given below represents a probability distribution or not. Write PROBABILITY
DISTRIBUTION or NOT A PROBABILITY DISTRIBUTION in the classification. Explain your answer.
1. Classification: _____________________________________________________________________________________________________
X 0 2 4 6 8
P(X) 1
6
1
6
1
3
1
6
1
6
Explanation: ______________________________________________________________________________________________________
_____________________________________________________________________________________________________________________
_____________________________________________________________________________________________________________________
2. Classification: _____________________________________________________________________________________________________
X 1 3 5 7
P(X) 0.35 0.25 0.22 0.12
Explanation: _________________________________________________________________________________________
Identify the graph of each of the following showing the centre, foci, length of the latus rectum, the eccentricity and asymptotes where applicable
I. 25x² + 4y² = 100
II. 25x² + 16y² = 400
A researcher wanted to estimate the difference between the percentages of users of two
tooth pastes who will never switch to another tooth paste. In a sample of 500 users of
Toothpaste A taken by this researcher, 100 said that they will never switch to another
toothpaste. In a sample of 400 users of Toothpaste B taken by the same researcher 68 said
that they will never switch to another toothpaste.
(i) Let p1 and p2 be the populations of all users of Toothpastes A and B, respectively who
will never switch to toothpaste. What is the point of p1-p2? (4 marks)
(ii) Construct a 98% confidence interval for the difference between the proportions of all
users of the two toothpastes who will never switch (6 marks)
Solve for the mean of the sampling distribution of the sample means
Suppose a population is composed of only 3 measures: 1, 2, and 3. The possible samples of size 2 can be draw from this population. List all the possible sample size 2 when repetition is allowed or with replacement. With solution
In a fuel economy study, each of 3 race cars is tested using 5 different brands of gasoline at 7 test sites located in different regions of the country. If 2 drivers are used in the study, and test runs are made once under each distinct set of conditions, how many test runs are needed?
Using the provided information below,
x=33.2 , x2=131.67, y=30.78 , y2=116.52image.png, xy=119.8 , and n=10image.png
Find the sample correlation coefficient rimage.png (4mks)
Find the co-efficient of determination
#339914 on Dec 2023