What is the center of the circle shown below?
2 answers:
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Given:
The table of values for the function f(x).
To find:
The values and
.
Solution:
From the given table, it is clear that the function f(x) is defined as:
We know that if (a,b) is in the function f(x), then (b,a) must be in the function . So, the inverse function is defined as:
And,
...(i)
Using (i), we get
Now,
Therefore, the required values are and
.
Answer:
And we got finally:
And the amount for Zaid would be 1.2*360 ft= 432ft
So then Zaid construc 432 ft and Matias 360 ft
Step-by-step explanation:
For this case we know that Zaid and Matias, two farmers, constructed a 792 foot fence around their very large garden so then the total is represented by 792 ft
We also know that Zaid agreed to construct 20% more of the fence than Matias did. Let's assume that the amount that construct by Matias was x then the amount constructed by Zaid would be 1.2 x representing 20% more than Matias and we can set up the following equation:
And we got finally:
And the amount for Zaid would be 1.2*360 ft= 432ft
So then Zaid construc 432 ft and Matias 360 ft
This question is incomplete, the microstates table is left out which will be uploaded along this answer;
Answer:
a) the required is 65.6%
b) the required time is 4.2666 hrs
Step-by-step explanation:
using the microstates from the table in the diagram;
a)
the percent times the above any of the above microstates occurs is;
% (6 heads and 4 tails, 5 heads and 5 tails, 4 heads and 6 tails)
= ((210 + 252 + 210)/1024) × 100
= 0.6562 × 100
= 65.6%
Therefore the required is 65.6%
b)
the probability of getting 10 heads and 0 tail or 0 tail head and 10 tails is;
p( 10H, 0T or 0H, 10T = 2/1024
= 1/512
so on average, it will take 512 trails or at a rate of 2 trials/min, 256 mim in hours;
(256 min) ( 1h/60min) = 4.2666 hrs
Therefore the required time is 4.2666 hrs
