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2 years ago

Suppose a fair coin is flipped and a fair six-sided die is rolled. list the members of the event "the die does not land on 5"

Mathematics

1 answer:

Nady [450]2 years ago

4 0

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For a regular 15-sided polygon, what is the degree of rotation?

Volgvan

Hope this helps! :)
360/15=24 degree's

4 0

3 years ago

Let x denote the lifetime of a mcchine component with an exponential distribution. The mean time for the component failure is 25

aliina [53]

Answer:

0.1353 = 13.53% probability that the lifetime exceeds the mean time by more than 1 standard deviations

Step-by-step explanation:

Exponential distribution:

The exponential probability distribution, with mean m, is described by the following equation:

$f(x) = \mu e^{-\mu x}$

In which $\mu = \frac{1}{m}$ is the decay parameter.

The probability that x is lower or equal to a is given by:

$P(X \leq x) = \int\limits^a_0 {f(x)} \, dx$

Which has the following solution:

$P(X \leq x) = 1 - e^{-\mu x}$

The probability of finding a value higher than x is:

$P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}$

The mean time for the component failure is 2500 hours.

This means that $m = \frac{2500}, \mu = \frac{1}{2500} = 0.0004$

What is the probability that the lifetime exceeds the mean time by more than 1 standard deviations?

The standard deviation of the exponential distribution is the same as the mean, so this is P(X > 5000).

$P(X > x) = e^{-0.0004*5000} = 0.1353$

0.1353 = 13.53% probability that the lifetime exceeds the mean time by more than 1 standard deviations

4 0

2 years ago

What does 100,000 • 1,470 • 300,890 • 69 =

Mazyrski [523]

If you multiply them all you get 3.0519273e+15 as your answer.

5 0

2 years ago

Me groves has trays of paint for her students. Each tray has 5 colors. One of the colors is purple. What fraction of the colors

Natali5045456 [20]

Purple = 1/5 of the colors

5 colors per tray, 20 trays = 5 * 20 = 100 colors

1/5 * 100 = 100/5 = 20

20 colors are purple

20/100 = 1/5

1/5

7 0

3 years ago

A set of furniture was sold for GH cedis 3000 at a profit of 25%. Find the cost price.

Sindrei [870]

Answer:

<h2>2400GH Cedis </h2>

Step-by-step explanation:

$Selling \:price = 3000gh Cedis\\Profit \% = 25\%\\Cost\:price =?\\\\CP =\frac{ ( Selling\:price \times 100 )}{ ( 100 + percentage profit)} \\\\C.P = \frac{3000\times 100 }{100+25}\\\\ C.P = \frac{300000}{125} \\\\Cost\: Price = 2400gh Cedis$

8 0

2 years ago