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Tanzania [10]
1 year ago
12

Line t has an equation of y=10x-8. Line u is perpendicular to line t and passes through (-10,-6). What is the equation of line u

?
Mathematics
1 answer:
Pachacha [2.7K]1 year ago
4 0

Answer: y=-\frac{1}{10} x-7

Step-by-step explanation: The slope of a perpendicular line is always negative and the reciprocal (opposite fraction) of the regular slope so the slope would be -\frac{1}{10}. If the line passes through (-10,-6) then the y intercept would be (0,-7) because every time x goes 10 right y goes down 1 because of the slope.

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There are 169 million registered voters in the us. determine an interval for the number (how many) of registered democrats in th
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Part A:

Given that in a sample of 400 registered voters, 204 were democrats, i.e. n = 400, <span>\hat{p}= \frac{204}{400} =0.51

</span>The 95% confidence interval for the proportion of registered democrats voters in the population is given by:

95\%\ C.I.=\hat{p}\pm z_{\alpha/2}\sqrt{\frac{\hat{p}(1-\hat{p})}{n}} \\  \\ =0.51\pm1.96\sqrt{\frac{0.51(1-0.51)}{400}}=0.51\pm1.96\sqrt{\frac{0.2499}{400}} \\  \\ =0.51\pm1.96(0.025)=0.51\pm0.049=(0.51-0.049,\ 0.51+0.049) \\  \\ =\bold{(0.461,\ 0.559)}



Part B:

Given that t<span>here are 169 million registered voters in the US, the interval for the number of registered democrats in the population is given by

[0.461(169,000,000), 0.559(169,000,000)] = (77,909,000, 94,471,000)
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<em>or</em><em>,</em><em> </em><em>{</em><em>1</em><em>,</em><em>2</em><em>,</em><em>3</em><em>}</em><em> </em><em>=</em><em> </em><em>{</em><em>1</em><em>,</em><em>2</em><em>,</em><em>3</em><em>}</em><em> </em><em>.</em><em>Ans</em>

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