In the table below are the results of rolling a number cube 400 times. Number 1 2 3 4 5 6 Frequency 35 211 32 41 38 43 A. Based on the observed frequencies, calculate the relative frequency for each number. B. Based on your results in A, do the outcomes for rolling the number cube appear to be equally likely? Explain your answer using complete sentences. C. If the outcomes do appear to be equally likely, why are the observed frequencies different for each number? If the outcomes do not appear to be equally likely, identify a possible reason for this result.

answer: 2530

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answer:

at time x=0 we have 1000, at time x=1 we have 2000, at time x=2 we have 4000.  

so that's an initial value of 1000 and a ratio of 2,

y = 1000 (2^x)

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area of rectangle a is 2 times that of rectangle b that means 2x+x =   36cm^2

3x = 36cm ^2

x = 36/3

x= 12cm^2

and 2x = 24cm^2

now side of square = are divided by sides = 36/4 = 6cm

that means length of rectangle a and b is 6cm too

now for rectangle a,

l*b = area

= 6*y=24

y=24/6 = 4

therefore dimensions of rectangle a are- length = 6cm, breadth = 4cm

and for rectangle b, length = 6cm and breadth = 6-4 = 2cm.

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