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Find the equation of the locus of the center of the circle which moves so that it is tangent to the y-axis and to the circle of radius one (1) with center at (2,0).


a certain machine makes electrical resistors having a mean resistance of 40 ohms and standard deviation of 2 ohms what is the probability that random sample of 36 have combined resistance more than 1458


1. the recommended daily calorie intake for teenage girls is 2,200 calories/day. a nutritionist at a state university believes the average daily caloric intake of girls in that state to be lower. test that hypothesis, at the 5% level of significance, against the null hypothesis that the population average is 2,200 calories/day using the following sample data: n=36,x¯=2,150,s=203.

 The owner of a factory that sells a particular bottled fruit juice claims that the average capacity of a bottle of their product is 250mL and standard deviation of 3 ml. A random sample of 50 bottles of fruit juice have a mean volume of 245 ml. At a level of significance of 5%, is there a sufficient evidence to the support the claim of the owner?


A car is moving in rest with an acceleration of 2 ms-2 and reached to 20ms-1. Find the time taken?


For the population of 18 74 year old females in the United States height is normally distributed with mean 63.9 inches and standard deviation 2.6. If we randomly select a woman from the population what’s the probability that she’s less than 60 inches


Instructions





Upload photos of your answer sheet showing your name and solution. (2 items x 10 points)





1. Find A-B using the following matrices:





5





6 1





2





9





3





A=-3





5





8





B=|





81





4










3





3





4





67





-5





-1





2. Find AB using the following matrices:





A=





1 2





3





B=





+ Prepare answer





7





9





8





10





4 5 6





11





12






Evaluate



lim 2r Σ r=1 [2n^2/(n+r)^3]


n→∞



1.3 Geometry


(a)Where in the world do we find some early evidence of geometry? (1)


(b)Approximately to what year does this evidence date back? (1)


(c)Give detail of how geometry was practiced in your example.( 2)


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