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puteri [66]
3 years ago
10

19. What is the equation of the line in slope-intercept form that passes through the point (24,9) and 1/8

Mathematics
1 answer:
Y_Kistochka [10]3 years ago
6 0

Answer:

y=1/8x+6

Step-by-step explanation:

y-y1=m(x-x1)

y-9=1/8(x-24)

y=1/8x-24/8+9

y=1/8x-3+9

y=1/8x+6

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If you want to be 95​% confident of estimating the population mean to within a sampling error of plus or minus3 and the standard
Aleksandr [31]

Answer:

The sample size required is at least 171

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.95}{2} = 0.025

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.025 = 0.975, so z = 1.96

Now, find the margin of error M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

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A samle size of at least n is required, in which n is found when M = 3, \sigma = 20

So

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3 = 1.96*\frac{20}{\sqrt{n}}

3\sqrt{n} = 20*1.96

\sqrt{n} = \frac{20*1.96}{3}

(\sqrt{n})^{2} = (\frac{20*1.96}{3})^{2}

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Rouding up

The sample size required is at least 171

5 0
3 years ago
Need math help please!
loris [4]

Answer:

SAS

Step-by-step explanation:

We can automatically eliminate the HL answer choice, since the given triangles aren't right triangles. The only answer choices that could make sense would be ASA or SAS, but there is no ASA choice, so the answer would be SAS.

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Answer:

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2). ∠CAX ≅ ∠BAX                            2). Given

3). AC ≅ AB                                      3). Given

4). AX ≅ AX                                      4). Reflexive property

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6). CX ≅ BX                                      6). CPCTC

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8). ΔYXB ≅ ΔYXC                             8). SAS property of congruence

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