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nirvana33 [79]
3 years ago
9

A person jogs 4.0 km in 32 minutes then 2.0 km in 22 minutes and finally 1.0 km in 16 minutes what is the joggers average speed

in km per minute
Mathematics
2 answers:
zhuklara [117]3 years ago
7 0
The average speed will be

total distance jogged        (4 + 2 + 1)  km
----------------------------- = ---------------------------- = ?   Please finish this.
total elapsed time            (32 + 22 + 16) min
love history [14]3 years ago
4 0
I think 68 km per min.
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(7 points) Cars arrive at a toll both according to a Poisson process with mean 80 cars per hour. If the attendant makes a two-mi
saveliy_v [14]

Answer:

The probability that at least 1 car arrives during the call is 0.9306

Step-by-step explanation:

Cars arriving according to Poisson process - 80 Cars per hour

If the attendant makes a 2 minute phone call, then effective λ = 80/60 * 2 = 2.66666667 = 2.67   X ≅ Poisson (λ = 2.67)

Now, we find the probability: P(X≥1)

P(X≥1) = 1 - p(x < 1)

P(X≥1) = 1 - p(x=0)

P(X≥1) = 1 - [ (e^-λ) * λ^0] / 0!

P(X≥1) = 1 - e^-2.67

P(X≥1) = 1 - 0.06945

P(X≥1) = 0.93055

P(X≥1) = 0.9306

Thus, the probability that at least 1 car arrives during the call is 0.9306.

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Tìm kiếm x y z<br> x-1/y =1<br> y-1/z =1<br> z-1/x =1
const2013 [10]

<em>y</em> - 1/<em>z</em> = 1   ==>   <em>y</em> = 1 + 1/<em>z</em>

<em>z</em> - 1/<em>x</em> = 1   ==>   <em>z</em> = 1 + 1/<em>x</em>

==>   <em>y</em> = 1 + 1/(1 + 1/<em>x</em>) = 1 + <em>x</em>/(<em>x</em> + 1) = (2<em>x</em> + 1)/(<em>x</em> + 1)

<em>x</em> - 1/<em>y</em> = <em>x</em> - (<em>x</em> + 1)/(2<em>x</em> + 1) = (2<em>x</em> ² - 1)/(2<em>x</em> + 1) = 1

==>   2<em>x</em> ² - 1 = 2<em>x</em> + 1

==>   2<em>x</em> ² - 2<em>x</em> - 2 = 0

==>   <em>x</em> ² - <em>x</em> - 1 = 0

==>   <em>x</em> = (1 ± √5)/2

If you start solving for <em>z</em>, then for <em>x</em>, then for <em>y</em>, you would get the same equation as above (with <em>y</em> in place of <em>x</em>), and the same thing happens if you solve for <em>x</em>, then <em>y</em>, then <em>z</em>. So it turns out that <em>x</em> = <em>y</em> = <em>z</em>.

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