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nexus9112 [7]
3 years ago
8

The average number of claims per hour made to an insurance company is 3.

Mathematics
1 answer:
solong [7]3 years ago
5 0

Step-by-step explanation:

We have it that x follows a poisson distribution.

λ is equal to 3

The poisson distribution is given by:

P(x) = e^-λ * λ^X/X!

λ = 3

X = 4

A. The question had already given us the X value to be 4

p(x = 4)

= e^-3 x 3⁴/4!

= e^-3 = 0.001

3⁴= 34

4! = 81

putting all values into p(x=4)

= .001x81/24

= 0.1680

b. for 3 good hours, we will have lamda to be;

3x3 = 9

p(x = 6)

= e^-9 * 9⁶/6!

= 0.0911

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Can someone solve this with steps cause idk how to solve the radicals
IceJOKER [234]
\bf 343^{\frac{2}{3}}+36^{\frac{1}{2}}-256^{\frac{3}{4}}\qquad \begin{cases}
343=7\cdot 7\cdot 7\\
\qquad 7^3\\
36=6\cdot 6\\
\qquad 6^2\\
256=4\cdot 4\cdot 4\cdot 4\\
\qquad 4^4
\end{cases}\\\\\\ (7^3)^{\frac{2}{3}}+(6^2)^{\frac{1}{2}}-(4^4)^{\frac{3}{4}}
\\\\\\
\sqrt[3]{(7^3)^2}+\sqrt[2]{(6^2)^1}-\sqrt[4]{(4^4)^3}\implies \sqrt[3]{(7^2)^3}+\sqrt[2]{(6^1)^2}-\sqrt[4]{(4^3)^4}
\\\\\\
7^2+6-4^3\implies 49+6-64\implies -9


to see what you can take out of the radical, you can always do a quick "prime factoring" of the values, that way you can break it in factors to see who is what.
8 0
3 years ago
What is the equation in point-slope form of a line that passes through the points(-2,4) and has a slope if 5
Lelechka [254]

Answer:

Step-by-step explanation:it’s up two and left 4 and do that equation 5 times

5 0
2 years ago
tom took a trip of 1,020 miles. he traveled by train at 55 miles an hour and the same number of hours by plane at 285mph how man
Kamila [148]
D = vt

Distance traveled by train
d = 55t
Distance traveled by plane
d = 285t
Total distance
d = 1020

So, you do:
distance traveled by plane + distance traveled by train =  total distance
(55t) + (285t) = 1020

Solve for t
t = 3 hours

t is the time traveled by each so 3 hrs traveled by train and 3 hrs traveled by plane

Total time  = 3 + 3 = 6 hours







8 0
3 years ago
How long does it take to go 60 miles if you going 360 miles per hour ​
Rufina [12.5K]

Answer:

10 mins

Step-by-step explanation:

60/360 = .166667 hours

take this answer an multiply by 60 min to get number of minutes

10 mins.

8 0
3 years ago
Which linear equation represents on the graph
s2008m [1.1K]

Remember, rise/run is the easiest way to determine slope

y=mx+b is form

mx is slope, whilst b is y int

so, answer? y=-3x-2

Or A.

4 0
3 years ago
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