The base of a cylindrical

Mathematics

1 answer:

KengaRu [80]1 year ago

3 0

Answer:

Step-by-step explanation:

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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:

Let X denote the lifetime of light bulb. Given $X \sim Exp(\lambda)$ where the mean is $E(X) = 340 =\frac{1}{\lambda} \implies \lambda = \frac{1}{340} = 0.00294$ .

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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2 years ago

Find the volume of the prism at right all angles are right angles.....

dexar [7]

Lets divide this prism into two parts. The bottom part has dimensions of 15mm length x 5mm width x 7mm height.

The bottom is 15x5x7 = 525 cubic mm.

The top part has dimensions of 9mm length (I got this by subtracting the 3mm on each side that the top is shorter than the bottom.. 15-3x2) x 5mm width x 3mm height.

The top is 9x5x3 = 135 cubic mm.

Added together ... 525 + 135 = 660 cubic mm = the total area of the prism.

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2 years ago

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katrin2010 [14]

The answer is A because there is a higher chance of the number cube rolling a 3,4,5 or 6 than the cube rolling a 1 or 2. It’s 4 against 2

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2 years ago

4(2x + 3) in the simplest form

Aleonysh [2.5K]

Answer: 8x+12

Step-by-step explanation: