1 year ago

Rewrite the expression with rational exponents as a radical expression.

Mathematics

1 answer:

SpyIntel [72]1 year ago

3 0

I think it’s the last one but I’m not sure. Let me know if you get it right.

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jeka57 [31]

Area = length x width
replace the known information into the equation:

area = 2/3
width = 1/2

so now the formula looks like:

2/3 = 1/2 x L

to solve for L we divide both sides by 1/2

L = 2/3 / 1/2 which = 2/3 * 2/1 = 4/3 = 1 and 1/3 km

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3 years ago

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vaieri [72.5K]

Since P(X = x) = 0.3 for all 0 ≤ x ≤ α, we have

$\displaystyle\int_{-\infty}^\infty P(X=x)\,\mathrm dx=1\implies0.3\int_0^\alpha\mathrm dx=0.3\alpha=1\implies\alpha=\dfrac{10}3$

So,

$P(X>2) = \displaystyle\int_2^\infty P(X=x)\,\mathrm dx=0.3\int_2^{\frac{10}3}\mathrm dx$

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