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ANTONII [103]
1 year ago
13

Find the sum. Express your answer in simplest form.

Mathematics
2 answers:
Marina86 [1]1 year ago
7 0

Answer:

\frac{10x^2+3}{y^2+4}

Step-by-step explanation:

When adding rational numbers, if the denominator is the same you simply keep the denominator (bottom of fraction) as it is and apply the operation given to the numerator ( top of fraction )

So we have \frac{6x^2+5}{y^2+4} +\frac{4x^2-2}{y^2+4} =\frac{(6x^2+5)+(4x^2-2)}{y^2+4}

==> remove parenthesis and apply signs

\frac{x^2+5+4x^2-2}{y^2+4}

==> simplify numerator by combining like terms

\frac{10x^2+3}{y^2+4}

and we are done!

Note:

like terms are terms with the same variable and exponent

An example of like terms are 6x^7 and 3x^7 as they have x as a variable and a power of 7

The like terms being combined here were (6x² and 4x²) and (5 and -2)

sergey [27]1 year ago
4 0

Answer:

\frac{10x^{2} +3}{y^{2}+4 }

Step-by-step explanation:

\frac{6x^{2} +5}{y^{2}+4 } +\frac{4x^{2} -2}{y^{2}+4 }

make the common denominator

\frac{6x^{2} +5+4x-2}{y^{2}+4 }

combone the like terms

\frac{10x^{2} +5-2}{y^{2}+4 }

subtract numbers

\frac{10x^{2} +3}{y^{2}+4 }

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And if we solve for a we got

a=48000 -2.33*5500=35185

And for this case the answer would be 35185 the lowest 1% for the salary

Step-by-step explanation:

Let X the random variable that represent the salary, and for this case we can assume that the distribution for X is given by:

X \sim N(48000,5500)  

Where \mu=48000 and \sigma=5500

And we want to find a value a, such that we satisfy this condition:

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We can use the z score again in order to find the value a.  

As we can see on the figure attached the z value that satisfy the condition with 0.01 of the area on the left and 0.99 of the area on the right it's z=-2.33. On this case P(Z<-2.33)=0.01 and P(z>-2.33)=0.99

If we use condition (b) from previous we have this:

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But we know which value of z satisfy the previous equation so then we can do this:

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3 years ago
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