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3 years ago

Find f(x) = 4*, when x = 1/2

Mathematics

1 answer:

faust18 [17]3 years ago

5 0

Answer:

f=8

Step-by-step explanation:

fx0.5=4

f=4x2

f=8

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The lifetime of two light bulbs are modeled as independent and exponential random variables X and Y, with parameters lambda and

Scorpion4ik [409]

Answer:

$\bf h(x)=max(\lambda,\mu) e^{-max(\lambda,\mu) x}\;(x\geq0)$

Step-by-step explanation:

The PDF of X is

$\bf f(x)=\lambda e^{-\lambda x}\;(x\geq0)$

The PDF of Y is

$\bf g(x)=\mu e^{-\mu x}\;(x\geq0)$

The means of X and Y are respectively,

$\bf \displaystyle\frac{1}{\lambda}\;,\displaystyle\frac{1}{\mu}$

so we can see that the larger the parameter, the smaller the mean. Hence the PDF of Z = min(X, Y) is an exponential with the largest parameter of the two.

Therefore, the PDF of Z is

$\bf h(x)=max(\lambda,\mu) e^{-max(\lambda,\mu) x}\;(x\geq0)$

7 0

3 years ago

Match each line to its slope

ira [324]

Answer:

A is 1/2

B is 2

C is -2

Step-by-step explanation:

hope this helps :3

if it did pls mark brainliest

5 0

3 years ago

An elephant can run one over four of a mile in 36 seconds. At this rate, which expression can be used to determine how fast an e

myrzilka [38]

Answer:

yeah b

Step-by-step explanation:

took the test

8 0

3 years ago

A pool pass costs $30 for the first month and $15 each additional month. Construct an explicit rule in function notation to mode

noname [10]

Answer:

$F(n)=15(n+1)$ [ where $n$ is number of months]

$F(12)=195$

Step-by-step explanation:

Pool pass cost for first month =$30

Pool pass cost after first month = $15 for each month

The total amount charged by the pool can be expressed as a function $F(n)$ where $n$ represents the number of months.

$F(n)=15(n-1)+30$

This can be simplified by using distribution.

$F(n)=(15n-15)+30$

$F(n)=15n-15+30$

$F(n)=15n+15$

Take 15 as greatest common factor.

∴ $F(n)=15(n+1)$

For $n=12$

$F(12)=15(12+1)$

$F(12)=15(13)$

$F(12)=195$

∴ Amount charged by pool for 12 months = $195

4 0

3 years ago

12-3 (2w+1)=7w-3 (7+w)

n200080 [17]

$12-3(2w+1)=7w-3(7+w) \\ \\ 12-6w-3=7w-21-3w \\ \\ 9-6w=4w-21 \\ \\ -6w-4w=-21-9 \\ \\ -10w=-30 \\ \\ \boxed{x=\frac{-30}{-10}=3}$

3 0

3 years ago

Read 2 more answers