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2 years ago

Marcus finds that (3x^2-2y^2+5x)+(4x^2+12y^2-7x)=7x^2-10y-2x. What error did Marcus make?

Mathematics

2 answers:

ale4655 [162]2 years ago

7 0

Answer:

He combined the terms –2y2 and 12y2 incorrectly.

boyakko [2]2 years ago

4 0

Answer:

7x^2+10y^2-2x is the correct answer, Marcus put -10y INSTEAD of +10y^2

Step-by-step explanation:

(3x^2-2y^2+5x)+(4x^2+12y^2-7x)

Combine like terms- I'll add x^2 first, then y^2, and then finally x, and it will be in that order.

7x^2+10y^2-2x

Make sure to check your signs are correct, and you wrote down the proper exponents.

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3 years ago

Engineers want to design passenger seats in commercial aircraft so that they are wide enough to fit 95 percent of adult men. Ass

zimovet [89]

Answer:

$z=1.64$

And if we solve for a we got

$a=14.4 +1.64*1.1=16.204$

The 95th percentile of the hip breadth of adult men is 16.2 inches.

Step-by-step explanation:

Let X the random variable that represent the hips breadths of a population, and for this case we know the distribution for X is given by:

$X \sim N(14.4,1.1)$

Where $\mu=14.4$ and $\sigma=1.1$

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

$P(X>a)=0.05$ (a)

$P(X$ (b)

We can find a quantile in the normal standard distribution who accumulates 0.95 of the area on the left and 0.05 of the area on the right it's z=1.64

Using this value we can set up the following equation:

$P(X$

$P(z$

And we have:

$z=1.64$

And if we solve for a we got

$a=14.4 +1.64*1.1=16.204$

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2 years ago

How do I solve this?<br><br> x/3 + x^2 + 2x^2 - x/3

Anna11 [10]

Answer:

3x²

Step-by-step explanation:

$\frac{x}{3} + x^{2} +2x^{2} -\frac{x}{3}$ =

$x^{2} +2x^{2}$ =

$3x^{2}$

3 0

2 years ago