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3 years ago

8/20 as a decimal and each fraction in simplest form

Mathematics

1 answer:

Lapatulllka [165]3 years ago

7 0

8/20 as a decimal is 0.4.

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Bumek [7]

Answer: he can make 3 groups of 2 first group him and Alfalfa second group Bernie and Corey the third group Dominik and Elsa.

Step-by-step explanation:

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3 years ago

<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7Bx%20%7B%7D%5E%7B2%7D%20-%204%20%7D%7B%20%5Csqrt%7Bx%20%7B%7D%5E%7B2%7D%20-%206x%2

Nimfa-mama [501]

First of all, we can observe that

$x^2-6x+9 = (x-3)^2$

So the expression becomes

$\dfrac{x^2-4}{\sqrt{(x-3)^2}} = \dfrac{x^2-4}{|x-3|}$

This means that the expression is defined for every $x\neq 3$

Now, since the denominator is always positive (when it exists), the fraction can only be positive if the denominator is also positive: we must ask

$x^2-4 \geq 0 \iff x\leq -2 \lor x\geq 2$

Since we can't accept 3 as an answer, the actual solution set is

$(-\infty,-2] \cup [2,3) \cup (3,\infty)$

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3 years ago

Let a and b be rationl numbers?

TEA [102]

Sometimes

Always

Sometimes

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3 years ago

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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.

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3 years ago