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Ksju [112]
2 years ago
6

A two digit number is 4 times the sum of its digits and twice the product of its digit.FIND THE NUMBER

Mathematics
1 answer:
Dmitrij [34]2 years ago
5 0
X - tenths digit
y - units digit

10x+y=4(x+y)\\
10x+y=2xy\\\\
10x+y=4x+4y\\
10x+y=2xy\\\\
6x=3y\\
10x+y=2xy\\\\
3x=y\\
10x+y=2xy\\\\
10x+3x=2x\cdot3x\\
13x=6x^2\\
6x^2-12x=0\\
6x(x-2)=0\\
x=0 \vee x=2\\\\
y=3\cdot2\\
y=6\\\\
10\cdot2+6=\boxed{26}
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Step-by-step explanation:

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(X)      0        1          2          3         4

P(X)   0.17   0.23    0.27    0.24    0.09

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Step-by-step explanation:  

Given that;

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P(X)   0.17   0.23    0.27    0.24    0.09

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so

x      F(x)

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2      P(X = 0) + P(X = 1) + P(X = 2) = 0.17 + 0.23 + 0.27 = 0.65

3      P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.17 + 0.23 + 0.27 + 0.24 = 0.91

4      P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) = 0.17 + 0.23 + 0.27 + 0.24 + 0.09 = 1

Therefore, cumulative distribution function f(x) is;

(X)      0        1          2          3         4

P(X)   0.17   0.23    0.27    0.24    0.09

F(x)    0.17    0.04    0.65    0.91      1      

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