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ratelena [41]
3 years ago
15

Round to the nearest tenth if necessary. Find the distance between the two points. (–1, –8), (–4, –4) A)5 B)25 C)13 D)1

Mathematics
1 answer:
jeyben [28]3 years ago
4 0

Answer: (a)

Step-by-step explanation:

Given

The points are (-1,-8) and (-4,-4)

The distance between two points (x_1,y_1),(x_2,y_2) is given by

d=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}

Apply the distance formula

\Rightarrow d=\sqrt{\left( -4+1\right)^2+\left( -4+8\right)^2}\\\\\Rightarrow d=\sqrt{(-3)^2+(4)^2}\\\Rightarrow d=\sqrt{9+16}\\\Rightarrow d=5\ \text{units}

Hence, option (a) is correct.

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Consider the following proposed proof by contradiction that for all positive integers n, 3n > 2.
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An exit poll of 1000 randomly selected voters found that 515 favored measure A. a. Construct a 99% confidence interval for the s
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Answer:

Step-by-step explanation:

Given that an  exit poll of 1000 randomly selected voters found that 515 favored measure A.

Sample proportion p = \frac{515}{1000} =0.515

q=1-0.515 =0.485\\n =1000\\SE = \sqrt{\frac{pq}{n} } \\=0.158\\

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=2.58*0.0158\\=0.0408

99% confidence interval =(0.515-0.0408, 0.515+0.0408)\\= (0.474, 0.556)

------------------------

H_0: p =0.5\\H_a: p >0.5\\

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p value = 0.1714

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