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3 years ago

Marlon goes fishing for 5 days. He catches 7 fish and releases 3 fish each of the 5 days.

Mathematics

1 answer:

Rus_ich [418]3 years ago

3 0

He catches 7 and releases three, this means he subtracts 3 so you woyld have 7-3

He does this for 5 days, so you would multiply it by the number of days.

The correct equation would be 5 x (7-3)

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Do you have a better picture and which question or all of them

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3 years ago

Computers require fans to keep them from overheating. Let T be the random variable representing the lifetime of a particular mak

ikadub [295]

Answer:

a) 4.98% of computer fans which will give at least 10,000 hours of service.

b) 3.02% of computer fans which would give at least 10,000 hours of service, that is, fewer fans living for at least 10,000 hours.

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:

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

Which has the following solution:

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

In this problem, we have that:

$\mu = \lambda = 0.0003$

(a) Find the proportion of computer fans which will give at least 10,000 hours of service.

Either it gives less 10,000 hours of service, or it gives at least 10,000. The sum of the probabilities of these events is decimal 1. So

$P(X < 10000) + P(X \geq 10000) = 1$

We want $P(X \geq 10000)$ . So

$P(X \geq 10000) = 1 - P(X < 10000)$

$P(X < 10000) = 1 - e^{-0.0003*10000} = 0.9502$

$P(X \geq 10000) = 1 - 0.9502 = 0.0498$

4.98% of computer fans which will give at least 10,000 hours of service.

(b) If the fan is redesigned so that exponential lifetime distribution now has parameter λ = 0.00035, would you expect more fans or fewer fans to live for at least 10,000 hours?

Now $\mu = \lambda = 0.00035$

$P(X \geq 10000) = 1 - P(X < 10000)$

$P(X < 10000) = 1 - e^{-0.00035*10000} = 0.9698$

$P(X \geq 10000) = 1 - 0.9698 = 0.0302$

3.02% of computer fans which would give at least 10,000 hours of service, that is, fewer fans living for at least 10,000 hours.

6 0

4 years ago

I'm having trouble figuring out what the difference between two positive numbers are. The numbers are 3.9 and 8.3 and I'm not su

Tju [1.3M]

To find the difference between these numbers you need to subtract 8.3 - 3.9
and that equals 4.4<span />

8 0

3 years ago

Read 2 more answers

Determine the area of the rectangle below

alekssr [168]

Answer:

A=10.75

Step-by-step explanation:

Formula; A=wl

Plug in values; 2.5·4.3

Area ; 10.75

5 0

3 years ago

Read 2 more answers

Math question ^^^ please help

Nookie1986 [14]

$(\frac{g}{f})(3)=\frac{-13}{21}\\$

2/3 will not be included in the domain of g/f

Step-by-step explanation:

Given functions are:

$g(x) =-2x^2+5\\f(x)=9x-6$

We have to calculate (f/g)(x) first

The steps will be as follows:

$(\frac{g}{f})(x)=\frac{g(x)}{f(x)}$

Putting the values of functions

$(\frac{g}{f})(x)=\frac{-2x^2+5}{9x-6}\\We\ have\ to\ find\ the\ value\ of\ (\frac{g}{f})(x)\ at\ 3\\So,\\(\frac{g}{f})(3)=\frac{-2(3)^2+5}{9(3)-6}\\(\frac{g}{f})(3)=\frac{-2(9)+5}{27-6}\\(\frac{g}{f})(3)=\frac{-18+5}{27-6}\\(\frac{g}{f})(3)=\frac{-13}{21}$

Domain of g/f:

$(\frac{g}{f})(x)=\frac{-2x^2+5}{9x-6}$

The function will be undefined if the denominator is zero.

To find the domain we will put the denominator equal to zero

So,

$9x-6=0\\Adding\ 6\ on\ both\ sides\\9x-6+6=0+6\\9x=6\\Dividing\ both\ sides\ by\ 9\\\frac{9x}{9}=\frac{6}{9}\\x=\frac{2}{3}$

Hence, the function will be undefined on x=2/3 so 2/3 will not be included in the domain of (f/g)(x)

<u>Answer:</u>

$(\frac{g}{f})(3)=\frac{-13}{21}\\$

2/3 will not be included in the domain of g/f

Keywords: Domain, Operations on Functions

Learn more about functions at:

#LearnwithBrainly

8 0

3 years ago