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Doss [256]
2 years ago
10

A circle is centered at the point (-7,-1) and passes through the point (8, 7). The radius of the circle is ___ units. The point

(-15, __ ) lies on this circle
Mathematics
1 answer:
trapecia [35]2 years ago
5 0

Answer:

(x + 7)2 + (y + 1)2 = r2.

To get we use point (8, 7): (8 + 7)2 + (7 + 1)2 = r2, r2 = 225 + 64 = 289 = 172.

So, equation of circle: (x + 7)2 + (y + 1)2 = 289

Step-by-step explanation:

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Thickness measurement ancient prehistoric Native American Pot Shards discovered in Hopi Village are approximately normally distr
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Answer:

a) P(X

And we can find this probability using the normal standard table and we got:

P(z

b) P(X>7)=P(\frac{X-\mu}{\sigma}>\frac{7-\mu}{\sigma})=P(Z>\frac{7-5.1}{0.9})=P(z>2.11)

And we can find this probability using the complement rule and the  normal standard table and we got:

P(z>2.11)=1-P(Z

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".  

Solution to the problem

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

X \sim N(5.1,0.9)  

Where \mu=5.1 and \sigma=0.9

Part a

We are interested on this probability

P(X

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}

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

P(X

And we can find this probability using the normal standard table and we got:

P(z

Part b

We are interested on this probability

P(X>7)

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}

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

P(X>7)=P(\frac{X-\mu}{\sigma}>\frac{7-\mu}{\sigma})=P(Z>\frac{7-5.1}{0.9})=P(z>2.11)

And we can find this probability using the complement rule and the  normal standard table and we got:

P(z>2.11)=1-P(Z

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3 years ago
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