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The Glider uses three parts of component A and two parts of component B, the Blimp uses two parts of components B and C, and the Pilot uses one part of each component.A sample of 75 components, 25 of each type, will be used to make prototypes for the various designs. The sample was analyzed and 20 of component A are proficient, 25 of component B were proficient and 15 of component C are proficient. If 30 components are selected at random, what is the likelihood two prototypes of each design can be made?
A semi circular sheet of metal of diameter 28cm is bent into an open conical cup.What is the approximate depth of the curve?
Given is a term and the common ratio of a geometric sequence, find the first four terms and the explicit formula

t5 = -16/27, r = 2/3
_, _, _, _

Tn=
Which term of the sequence; 256, -64, 16, -4.............is equal to 1/4090?
Mr Mcbean is a very keen fisherman who will go fishing at any time of the day or night. He requires 1.5 metres of water at the boat ramp (i.e. 1.5 above the mean sea level) to launch his boat the "periodic function". The next high tide occurs at 2 am at a height of 2.8m above the mean sea level.
Find the times in the first 24 hours after 2am when he is able to launch his boat.
I left the house at 8:15 I have to be 50 minutes I drive to work what. What time I will be arrive at work
A quality audit of a bottling company showed the number of defective batches outside of the specification limits for a particular oil product. The grouped data shown in the table below indicates the number of defective items per unit of measurement.

CLASS LIMITS
f CUM<f CLASS MARK(X)
Xf X- X ̅ (X− X ̅)2
(X−X ̅)2 f 20-<25 1 25-<30 2 30-<35 8 35-<40 5 40-<45 3 45-<50 1 TOTAL


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3.1.1 Complete the table data under the given columns. (5)
3.1.2 Calculate the mean value. (5)
3.1.3 Draw the cumulative frequency polygon and then use your graph to determine the median. (5)
3.1.4 Use the values from 3.1.2 and 3.1.3 to comment on the nature of the distribution. Give a reason for your answer
In a class of 20 children, 4 of the 9 boys and 3 of the 11 girls are in the athletics team. A person from the class is chosen to be in the ‘egg and spoon ‘race on sport Day. Find the probability that the person chosen is

4.1 in the athletics (5) 4.2 female (5) 4.3 a female member of the athletics team (5) 4.4 Between 4500 and 4 900 oranges
n a group of 60 students, 20 study history, 24 study French and 8 study both history and French.
Are the events ‘a student studies History’ and ‘a student studies French ‘independent?
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