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Rainbow [258]
3 years ago
15

Find the midpoint of the segment below and enter its coordinates as an ordered pair. If necessary, express coordinates as fracti

ons, using the slash mark (/) for the fraction bar. (-12, -3) (3, -8)
Mathematics
1 answer:
galben [10]3 years ago
7 0

Answer:

=\left(-\frac{9}{2},\:-\frac{11}{2}\right)

Step-by-step explanation:

\mathrm{Midpoint\:of\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\\\quad \left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)\\\\\left(x_1,\:y_1\right)=\left(-12,\:-3\right),\:\left(x_2,\:y_2\right)=\left(3,\:-8\right)\\\\=\left(\frac{3-12}{2},\:\frac{-8-3}{2}\right)\\\\=\left(-\frac{9}{2},\:-\frac{11}{2}\right)

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Determine the point estimate of the population proportion and the margin of error for the following confidence interval.Lower bo
Kamila [148]

Answer: The point estimate of the population proportion is . 485.​

The margin of error is 0.273.​

Step-by-step explanation:

Confidence interval for population proportion(p):

sample proportion ± Margin of error

Given:  Lower bound of confidence interval  = 0.212

Upper bound = 0.758

⇒sample proportion - Margin of error=0.212  (i)

sample proportion + Margin of error= 0.758  (ii)

Adding (i) and (ii) , we get

2(sample proportion) =0.970

⇒ sample proportion = 0.970÷2= 0.485

Since sample proportion is the point estimate of the population proportion.

So, the point estimate of the population proportion=  0.485

Now put sample proportion =0.485 in (ii), we get

0.485+ Margin of error= 0.758

⇒  Margin of error= 0.758 - 0.485 =0.273

i.e. The margin of error is 0.273.​

5 0
3 years ago
What is/are the x-intercept(s) of this quadratic function f(x) = (x - 3)(x - 2)?
hoa [83]
Use the zero product property
x - 3 = 0, and x - 2 = 0
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cestrela7 [59]

Answer:

\frac{a^{2} +  ab }{b}

Step-by-step explanation:

(a + b) * (\frac{a}{b}) = \frac{a * (a+b)}{b} = \frac{a^{2} +  ab }{b}

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<em>Have a Great Day</em>

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3 years ago
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