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Sergeeva-Olga [200]
3 years ago
14

Write a point slope form of the line through point J(4,1) with slope -5

Mathematics
2 answers:
Lady bird [3.3K]3 years ago
7 0
<span>General point slope form is :

</span>y –<span> y</span>1<span> = m </span>(<span>x </span>–<span> x</span>1)

Given : 
X1 = 4
Y1 = 1
m = - 5

Substituting the values into the main equation:
We get:
y-1 = -5 (x - 4) 
This is the point slope form.We can simpify further to get the slope intercept form.
Thus,
y -1 = -5x + 20
y = -5x + 20 + 1
y = -5x + 21
mrs_skeptik [129]3 years ago
4 0
Y - y1 = m(x - x1)
slope(m) = -5
(4,1)...x1 = 4 and y1 = 1
now we sub
y - 1 = -5(x - 4) <===
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P(X

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Assuming a mean of $204 per night and a deviation of $55.

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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 cost per night at the hotel, and for this case we know the distribution for X is given by:

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

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We are interested on this probability

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

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

P(X>225)=P(\frac{X-\mu}{\sigma}>\frac{225-\mu}{\sigma})

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And we can find this probability on this way:

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