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zepelin [54]
3 years ago
12

Assume that the Poisson distribution applies and that the mean number of aircraft accidents is 9 per month. Find​ P(0), the prob

ability that in a​ month, there will be no aircraft accidents. Is it unlikely to have a month with no aircraft​ accidents?
Mathematics
1 answer:
Ugo [173]3 years ago
5 0

Answer: 0.0001

It is unlikely to have a month with no aircraft​ accidents .

Step-by-step explanation:

Given :  Mean number of aircraft accidents = 9 per month

The Poisson distribution formula :-

\dfrac{e^{-\lambda}\lambda^x}{x!}, where \lambda is the mean of the distribution.

If X = the number of aircraft accidents per month, then the probability that in a​ month, there will be no aircraft accidents will be :-

\dfrac{e^{-9}(9)^0}{0!}=0.000123409804087\approx0.0001

Hence, the probability that in a​ month, there will be no aircraft accidents = 0.0001

Since this is less than 0.5 , therefor it is unlikely to have a month with no aircraft​ accidents .

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8x - 3y, using x = 5 and y = 2
jeka57 [31]

Step 1: plug in 5 and 2 for your X and Y

Step 2: multiply 8*X or in this case 8*5 and you will get 40

Step 3: multiply 3*Y or in this case 3*2 and you will get 6

Step 4: subtract 40-6 and you will get 34

5 0
3 years ago
Interest earned after 15 days on $8000, at 8.5%​
belka [17]

Answer:

I=10,200

Step-by-step explanation:

I=PRT

P=8000

R=8.5

T=15 days

I=8000*0.085*15

I=10,200

8 0
3 years ago
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Identify the property used in the first four steps to solve this equation.
vovikov84 [41]

Step 1: Distributive Property

Step 2: Subtraction Property of Equality

Step 3: Addition Property of Equality

Step 4: Division Property of Equality

7 0
3 years ago
Find the circumference and the area of a circle with diameter 7 cm.
Ilia_Sergeevich [38]

Answer:

21.98 is the circumference because is it 7 pi 7 times 3.14. For the area though it is 38.48 because you need to get the radius of the circle and you divided 7 by 2 which is 3.5 and here is the work A=πr2=π·3.52≈38.48451

Step-by-step explanation:

Hope this helped and you understood if you want it would help a lot if you put it brainliest.

3 0
3 years ago
If y-3x=9, 7x+y=25, what is the value of x and y?
lianna [129]

\bold{\rm{Given}}\text{ : If y - 3x = 9, 7x + y = 25, what is the value of x and y}?

\bold{\rm{Solution}} \text{: We'll solve this by substitution method}

\dashrightarrow  y - 3x = 9 \\  \\  \dashrightarrow   \boxed{y = 9 + 3x } \qquad .. \sf eq(1)

\text{we got the value of y now getting the value of x}

\looparrowright 7x + y = 25 \\  \\  \looparrowright 7x = 25 - y \\  \\  \looparrowright  \boxed{x =   \frac{25 - y}{7}} \qquad .. \sf eq(2)

\text{Now, putting y = 9 + 3x in eq(2)}

\hookrightarrow  x =  \frac{25 - y}{7}   \\  \\ \hookrightarrow  x =  \frac{25 - 9 + 3x}{7}  \\  \\ \hookrightarrow  7x =  25 - 9 + 3x \\  \\ \hookrightarrow  7x - 3x =  16 \\  \\ \hookrightarrow  4x = 16 \\  \\ \hookrightarrow  x =  \frac{16}{4}  \\  \\ \star \quad  \boxed{ \green{ \frak{ x = 4}}}

\text{Now we know the value of x, for getting y we need to put x in eq(1)}

: \implies y = 9 + 3x \\  \\   : \implies y = 9 + 3(4) \\  \\  : \implies y = 9 + 12  \\  \\    \star \quad  \boxed{\frak{  \green{y = 21}}}

\text{Hence, values of x and y are} \:  \frak{ \green{4}}  \: \text{and} \:  \frak{ \green{21}} \: \text{respectively}.

4 0
2 years ago
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