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3 years ago

Which expression gives the distance between the points

Mathematics

1 answer:

Anna35 [415]3 years ago

6 0

Answer:

D. √((2 +4)² +(5 -8)²)

Step-by-step explanation:

The distance is found using the formula ...

d = √((x1 -x2)² +(y1 -y2)²)

Selection D has this formula properly filled in with the values ...

(x1, y1) = (2, 5)

(x2, y2) = (-4, 8)

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Simplify the radical below. √x^13 A. 13√x B. 6x√x C. x√x^12 D. x^6√x

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3 years ago

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Answer:

$\boxed{\sf -\dfrac{5}{8}}$

Use BODMAS rule,

where:

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Given expression:

$\rightarrow \sf -\dfrac{1}{5} \times [\:4-14\times\left(\dfrac{1}{4} \right)^2]$

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$\rightarrow \sf -\dfrac{1}{5} \times [\:4-14\times\left(\dfrac{1}{16} \right)]$

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$\rightarrow \sf -\dfrac{5}{8}$

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1 year ago

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Anna11 [10]

Answer:

Step-by-step explanation:

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3 years ago

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A computer manufacturing company has sent a mail survey to 2,800 of its randomly selected customers that have purchased a new la

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Answer:

The 96% confidence interval for the population proportion of customers satisfied with their new computer is (0.77, 0.83).

Step-by-step explanation:

We have to calculate a 96% confidence interval for the proportion.

We consider the sample size to be the customers that responded the survey (n=800), as we can not assume the answer for the ones that did not answer.

The sample proportion is p=0.8.

$p=X/n=640/800=0.8$

The standard error of the proportion is:

$\sigma_p=\sqrt{\dfrac{p(1-p)}{n}}=\sqrt{\dfrac{0.8*0.2}{800}}\\\\\\ \sigma_p=\sqrt{0.0002}=0.014$

The critical z-value for a 96% confidence interval is z=2.054.

The margin of error (MOE) can be calculated as:

$MOE=z\cdot \sigma_p=2.054 \cdot 0.014=0.03$

Then, the lower and upper bounds of the confidence interval are:

$LL=p-z \cdot \sigma_p = 0.8-0.03=0.77\\\\UL=p+z \cdot \sigma_p = 0.8+0.03=0.83$

The 96% confidence interval for the population proportion is (0.77, 0.83).

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3 years ago

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lilavasa [31]

Answer:

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Step-by-step explanation:

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