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muminat
3 years ago
8

Can someone please solve this fast? thanks !

Mathematics
1 answer:
Tpy6a [65]3 years ago
4 0

Answer:

x=2

Step-by-step explanation:

-3x-3y=0

so 3y = -3x

y=-3/3x

y=-x

plug into next eqn

x+(-2x) = -2

-x = -2

x=2

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2 years ago
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Answer:

a) P(X

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Step-by-step explanation:

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".  

Let X the random variable that represent the mean life span of a brand name tire, and for this case we know the distribution for X is given by:

X \sim N(\mu=50000,\sigma=800)  

Part a

We want this probability:

P(X

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

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

If we apply this formula to our probability we got this:

P(X

Part b

Let \bar X represent the sample mean, the distribution for the sample mean is given by:

\bar X \sim N(\mu,\frac{\sigma}{\sqrt{n}})

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We want this probability:

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

z=\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}

If we apply this formula to our probability we got this:

P(\bar X >50200)=1-P(Z

P(\bar X>50200)=1-0.994=0.0062  

3 0
3 years ago
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