Answer:

Step-by-step explanation:
The standard form for the equation of the line is

Recall that:

Therefore the equation of the line is:

10x2000= 20,000
2000
X 10
--------
0000
20000
The present age of mother and her daughter respectively are; 40 and 10 years respectively.
<h3>How to Solve Algebra Word Problems?</h3>
Let x and y be the present age of mother and her daughter respectively.
Therefore;
x + y = 50
x = 50 − y .....(1)
After 20 years, mother's age will be twice her daughter's age at the time. Thus;
x + 20 = 2(y + 20)
x − 2y = 20 .....(2)
Plugging eq 1 into eq 2 gives us;
50 − y − 2y = 20
3y = 30
y = 10
Thus;
x = 50 − 10
x = 40
Thus, the present age of mother and her daughter is 40 and 10 years respectively.
Translation of the question into English is;
The sum of the present ages of mother and her daughter is 50 years. After 20 years, mother's age will be twice her daughter's age at the time. Find their present ages.
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Answer: The required probability is 0.3456.
Step-by-step explanation:
Since we have given that
Probability of winning at any given time = 0.6
Probability of losing at any given time = 1-0.6 = 0.4
Number of total matches = 5
Number of won matches = 3
So, using "Binomial distribution", we get that

Hence, the required probability is 0.3456.
The circumferince of the circle is 2πR ;
The area of the circle is π

;
Then, 2πR = 704 ;
R = 352 / π ;
π

= π × ( 352 / π )^2 = ( 352^2) / π = 123904 / π ≈ 39459.87 ≈ 39460 cm^2 ;