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A piece of steel is in the form of a tetrahedron whose base is a right-angled triangle. The sides forming the right-angle are 5 cm and 6 cm long respectively. If the height of the tetrahedron is 7 cm, calculate its volume. If the tetrahedron is melted down, calculate the length of bar of diameter 20 mm that can be made from it, assuming no waste.
The mean height of the grade nine students at a certain high school is 164 centimeters and the
standard deviation is 10 centimeters. Assuming the heights are normally distributed, what
percent of the heights is greater than 168 centimeters?
The following data are the heights of four students in centimeter; 110, 125, 120, and 130. Suppose sample size of 2 is to be taken from the population of four students. What will be the probability when the sample mean is 115?
Show that ( p → q) ∧ ( q → r) → ( p→ r) is a tautology by using truth table or rules of
logical equivalence
1.Which of the following is the solution of the equation below?
0x + 0y = 0
1. (0,0,0).
2. (1,0,0).
3. No such solution exists
4. Infinitely many solution or (-1,2,1).
An electrical company claims that an average life of bulbs it manufacturers is 1200 hours with a standard deviation of 250 hours. If a random sample of 100 bulbs is chosen, what is the probability of the sample mean will be:
a. Greater than 1150 hours?
b. Less than 1250 hours?
c. Betweem 1150 and 1250 hours?
5 10 15 20 25 30 35 40
illustrate the variance and standard deviation
1.3. A local farmer decides to sell his produce at the farmer’s market. Every Sunday he uses his own fuel to drive to the market which is 300km away. This costs him R650.00 per week. He sells 50 boxes of fruit for R250.00 and 100 boxes of fruit for R350.00.
Medical Literature tells us that our blood is mainly composed of red and white corpuscles and a normal human body average 7250/mm3 of white blood cell counts.If a sample of 15 individuals chosen at random from a certain place has an average of 4850/mm3 with a standard deviation of 2500/mm3, would you say that the people in that place have low white blood cell counts?
A.Formulate the null and alternative hypothesis in sentence and in symbol.
B.Determine what test statistics to use.
C.Compute the test statistics.
Medical literature tells us that our blood is mainly composed of red and white blood cells corpuscles and a normal human body must average 7250/mm3 of white blood cell counts.If a sample of 15 individuals chosen at random from a certain place has an average of 4850/mm3 with a standard deviation of 2500/mm3, would you say that the people in that place have low white blood cell counts?
A.Formulate the null and alternative hypothesis in sentence and in symbol.
B.Determine what test statistics to use.
C.Compute the test statistics.
#339914 on Dec 2023