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3 years ago

6x+1/2xy=3 please help im confused

2 answers:

6 0

6x+ (1/2x)(y)=3

Step 1: Factor out variable x.
x (y+12/2)=3

Step 2: Divide both sides by (y+12/2.

x(y+12/2) 3
------------- = ---------
y+12 y+12
----------- ----------
2 2

Then your answer would be 6
x= ---------
y+12

Dafna11 [192]3 years ago

3 0

Hey there,

y = 90 + -45x + -10x2 + 5x3

-6x + -3x = -9x y = 5(18 + -9x + 1x2 + -3x2 + x3) (-2 + x) * (3 + x) y = 5(-2(3 + x) + x(3 + x))(-3 + x) y = 5((3 * -2 + x * -2) + x(3 + x))(-3 + x) y = 5((-6 + -2x) + x(3 + x))(-3 + x) y = 5(-6 + -2x + (3 * x + x * x))(-3 + x) y = 5(-6 + -2x + (3x + x2))(-3 + x)

y = 90 + -45x + -10x2 + 5x3=
 10 15

115+-45=70

X=70

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Step-by-step explanation:

1) Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

2) Solution to the problem

Let X the random variable that represent the waiting time in minutes of a population, and for this case we know the distribution for X is given by:

$X \sim N(30,8)$

Where $\mu=30$ and $\sigma=8$

And the best way to solve this problem is using the normal standard distribution and the z score given by:

$z=\frac{x-\mu}{\sigma}$

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

$P(X>a)=0.15$ (a)

$P(X$ (b)

Both conditions are equivalent on this case. 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 0.85 of the area on the left and 0.15 of the area on the right it's z=1.04. On this case P(Z<1.04)=0.85 and P(z>1.04)=0.15

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

$P(X$