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3 years ago

Given that m 2=103 what is m 4

Mathematics

1 answer:

Vinvika [58]3 years ago

3 0

M4 would be choice b I know this because I put it in the calculator

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Molecules of a toxic chemical eventually decompose into inert substances. Suppose the decomposition time is exponentially distri

koban [17]

Answer:

a) 4.16 years

b) 27.73 years

c) 238.44 years

d) 3,870.53 years

Step-by-step explanation:

Let X be the random variable that measures the decomposition time.

$\bf \lambda =6$

In this case, since the decomposition time is exponentially distributed with a mean of 1/6, we have

$\bf P(X\leq t)=1-e^{-t/6}\Rightarrow P(X>t)=1-(1-e^{-t/6})=e^{-t/6}$

and we must find a t such that P(x>t)=0.5.

$\bf P(X>t)=0.5\Rightarrow e^{-t/6}=0.5\Rightarrow -t/6=ln(0.5)\Rightarrow t=-6ln(0.5)=4.16\;years$

$\bf \lambda =40$

$\bf P(X>t)=0.5\Rightarrow e^{-t/40}=0.5\Rightarrow -t/40=ln(0.5)\Rightarrow t=-40ln(0.5)=27.73\;years$

$\bf \lambda =344$

$\bf P(X>t)=0.5\Rightarrow e^{-t/344}=0.5\Rightarrow -t/344=ln(0.5)\Rightarrow t=-344ln(0.5)=238.44\;years$

$\bf \lambda =5584$

$\bf P(X>t)=0.5\Rightarrow e^{-t/5584}=0.5\Rightarrow -t/5584=ln(0.5)\Rightarrow t=-5584ln(0.5)=3870.53\;years$

5 0

4 years ago

A ball is thrown vertically upward. After t seconds, its height h (in feet) is given by the function h(t)=72t-16t^2. After how l

galben [10]

Answer:

i coulnt answer this i love you

4 0

3 years ago

Read 2 more answers

What is the area of this figure? 6cm, 7cm, 10cm, 21cm, and 6cm

ch4aika [34]

I also think that its a

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3 years ago

Jill traveled to Canada and bought a new lamp for $460 Canadian dollars. In US dollars (to the nearest cent) this is equivalent

blsea [12.9K]

The Canadian dollar is .72 of a American dollar so the answer has to be B.

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3 years ago

Jim is 2 years older than 3 times his little brother, Tommy. Together their ages add up to 18. How old are they both?

Alexeev081 [22]

1. "Jim is 2 years older than 3 times his little brother, Tommy." J = 2 + 3T "Together, their ages add up to 18." J + T = 18 J = 18 - T, so 18 - T = 2 + 3T 4T = 16 T = 4, J = 14 (which is 2 more than 3 * T)

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3 years ago