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Fudgin [204]
3 years ago
15

Find the distance between the points (3,-5) and (3,-2).

Mathematics
1 answer:
iren [92.7K]3 years ago
3 0

Answer:

3 units

Step-by-step explanation:

Distance between two points (x1,y1) and (x2,y2) on coordinate plane is given by

distance = \sqrt{(x1-x2)^2 +(y1-y2)^2  }

Given points in the problem are (3,-5)  and (3,-2).

Thus distance between points (3,-5)  and (3,-2).

distance = \sqrt{(x1-x2)^2 +(y1-y2)^2  }\\=>distance = \sqrt{(3-3)^2 +(-5-(-2))^2  }\\=>distance = \sqrt{(0)^2 +(-5+2)^2  }\\\\=>distance = \sqrt{0 +(-3)^2  }\\\\=>distance = \sqrt{9  }\\=>distance = 3

Distance between points (3,-5)  and (3,-2) is 3 units

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Use the standard norml distribution or the t-distribution to construct a 99% confidence interval for the population mean. Justif
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Answer:

E) we will use t- distribution because is un-known,n<30

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Step-by-step explanation:

<u>Step:-1</u>

Given sample size is n = 23<30 mortgage institutions

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The standard deviation 'S' = 0.0046

the degree of freedom = n-1 = 23-1=22

99% of confidence intervals t_{0.01} =2.82  (from tabulated value).

The mean value = 0.0365

x±t_{0.01} \frac{S}{\sqrt{n-1} }

0.0365±2.82 \frac{0.0046}{\sqrt{23-1} }

0.0365±2.82 \frac{0.0046}{\sqrt{22} }

0.0365±2.82 \frac{0.0046}{4.690 }

using calculator

0.0365±0.00276

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the mean value is lies between in this confidence interval

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<u>using t- distribution because is unknown,n<30,and the interest rates are not normally distributed.</u>

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