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melamori03 [73]
2 years ago
15

Which expression is equivalent to 3x^-6y^-3 / 15x^2y^10? Assume x ≠ 0, y ≠ 0

Mathematics
1 answer:
9966 [12]2 years ago
3 0

\textsf {Simplifying the exponents :}

\mathsf {\frac{3x^{-6}y^{-3}}{15x^{2}y^{10}}}

\mathsf {\frac{1}{5x^{(2+6)}y^{(10+3)}}}

\mathsf {\frac{1}{5x^{8}y^{13}}}

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Please and thankyou (:
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Let's evaluate the ratio test:

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The limit as n \to\infty of this quantity is 3, which is more than 1. So, the series diverges.

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A light bulb has a lifetime X that is exponentially distributed with a mean 340 hours. Find the probability that the bulb lifeti
LUCKY_DIMON [66]

Answer:

0.7026

Step-by-step explanation:

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Recall that,

\displaystyle P(X>x) = 1 - \int_0^x e^{-\lambda x} = 1 - (1 - e^{-\lambda x} = e^{-\lambda x}

\displaystyle P(X>220 | X>100) = \frac{P(X>220,X>100)}{P(X>100)} = \frac{e^{-\lambda \times 220}}{e^{-\lambda \times 100}} = \frac{0.5236}{0.7452} = 0.7026

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Jamie can work no more than 20 hours a week this summer. She needs to earn at least $256 a week to save enough
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Evaluate 12 x (4^-2/4^-4)<br><br> A 1/4<br> B 3/4<br> C 16<br> D 192
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12 ×4^4/4^2
=12×4^2
=12×16
=192
7 0
3 years ago
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