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a manufactrer produces lightbulbs that are packed into boxes of 100. if quality control studies indicate that 0.5% of lightbulbs produce are defective, what percentage of the boxes will contain if 2 or more defectives?


In a party, there are 12 people with white shirts and 7 people with red shirts;






4 people have black shoes and white shirts;






5 people have black shoes and red shirts;






the total number of people with white or red shirts or black shoes is 21.






How many people have black shoes?

A right circular cylinder whose base diameter is 5 ft. and is 15 feet high, 

  1. Compute the Lateral surface area in ft^2.
  2. Find the Total Surface are in ft^2.
  3. Find the volume content of the cylinder if it will be ¾ filed with water, in ft^3.

The base of a prism is a regular pentagon with one side measuring 15 cm. Its

Altitude is 32 cm. Find the following;

  1. Lateral surface Area in cm2.
  2. The total surface area in cm2.
  3. The volume of the prism in cm3.

What is the weight of a steel plate 15 feet long, 4 feet wide, and 5/8 inches

Thick, if the steel weighs 475 lbs/ ft3 .

  1. Find the Lateral surface are of the steel plate in square feet.
  2. Compute the Total surface area in square feet.





Find the distance, in inches between two vertices of a cube that are farthest 

From each other, if an edge measures 10 inches.

b) Compute the lateral surface area of the cube in square inches.

c) Compute the Total Surface area of the cube in inches squared

d) Compute the volume of the cube in cubic inches.



A recent survey showed that 20 percent of the population owns some kind of microcomputer and 80 percent do not. Market experts predict that in a year 1 percent of the non-owners will become owners, and 1/100 of one percent of the owners will become no owners.

a) What are the transition matrix of owners and no owners for

next year?

 

b) What is the predicted steady state for the next year?




Find the confidence interval given the following data Cl-95, s-3, n-15, ×-25





there are 450 farmers. 250 pounds of farm beetroot, 110 pounds of farm yams, 75 pounds of farm radish, 45 pounds of farm beetroot and radish, 40 pounds of farm yams and radish, and 30 pounds of farm beetroot and yams Let B, Y, and R represent the farms that grow beets, yams, and radish, respectively.


Determine the number of farmers that farm beetroot, yams, and radish.



1.   A sample of 60 grade 11 students’ ages was obtained to estimate the mean age of all grade 11 students.  years and the population variance is 16.

a.   What is the point estimate for μ?

b.   Find the 95% confidence interval for μ.

c.    Find the 99% confidence interval for μ.

d.   What conclusions can you make based on each estimate.



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