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salantis [7]
2 years ago
5

Last year, Lien earned $1,600 more than her husband. Together they earned $51,000. How much did each of them earn?

Mathematics
1 answer:
jok3333 [9.3K]2 years ago
3 0

Answer:

Lien: $26300 Her husband: $24700

Step-by-step explanation:

x+(x+1600)=51000

2x+1600=51000

2x=49400

x=24700

Her husband earned 24700

24700+1600=26300

Lien earned 26300

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Step-by-step explanation:

In sampling theory, the population mean is expected to equal to the mean of sampling distribution of means if the estimator is to be a good representative of the population. so, on this note, the mean of sample distribution of means is equal to the population mean = 18.6

6 0
3 years ago
Find a closed-form solution to the integral equation y(x) = 3 + Z x e dt ty(t) , x > 0. In other words, express y(x) as a fun
MrMuchimi

Answer:

y{x} = \sqrt{7+2Inx}

Step-by-step explanation:

y(x)= 3 + \int\limits^x_e {dx}/ \, ty(t) , x>0}

Let say; By y(x)= y(e)  

we have;  

y(e)= 3 + \int\limits^e_e {dt}/ \, ty= 3+0

Using Fundamental Theorem of Calculus and differentiating by Lebiniz Rule:

y^{1} (x) = 0 + 1/ xy

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MULTIPLYING BOTH SIDE BY 2 , TO ELIMINATE THE DENOMINATOR, WE HAVE;

y^{2} = {7+2Inx}  

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7 0
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Step-by-step explanation:

3x+4=-15

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\frac{3x}{3}=\frac{-19}{3}

x=-\frac{19}{3}

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