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AVprozaik [17]
3 years ago
5

The Department of Commerce in a state has determined that the number of small businesses that declare bankruptcy per month is ap

proximately a Poisson distribution with a mean of 3.4. Find the probability that more than 3 bankruptcies occur next month.
Mathematics
1 answer:
Damm [24]3 years ago
3 0

Answer:

0.44164

Step-by-step explanation:

Given that :

Mean (λ) = 3.4

probability that more than 3 bankruptcies occur next month

Using the poisson distribution formula :

P(x ; λ) = P[(e^-λ) * (λ^x)] ÷ x!

Probability of obtaining more than 3 bankruptcies :

To save computation time, we can use the poisson distribution calculator :

P(x >3 ; λ = 3.4)

P(x > 3) = 0.44164

P(x > 3) = 0.44164

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(m-5)²=25<br>plss answerr​
Artemon [7]

Answer:

m= 0, 10

Step-by-step explanation:

1). Square root both sides. Taking the square root of any constant gives you a positive and negative answer.

(m-5)^2= 25

m-5 = 5, -5

2). Add 5 to both sides.

m= 5+5 = 10

and

m= -5 + 5 = 0

Hope this helped!

5 0
3 years ago
Pippa thinks of a number. She adds 1 to it to get a second number. She then adds 2 to the second number to get a third number, a
erica [24]

Answer: n + 10

Step-by-step explanation:

Initial number = n

She adds 1 to it to get a second number. Second number = n + 1

She then adds 2 to the second number to get a third number. Third number = n + 1 + 2 = n + 3

She adds 3 to the third to get a fourth. Fourth number will be:

= n + 3 + 3

= n + 6

She adds 4 to the fourth to get a fifth number. Fifth number will be:

= n + 6 + 4

= n + 10

3 0
3 years ago
If A = (-1, -3) and B = (11, -8), what is the length of AB ?
nata0808 [166]
For this problem, you need to know the distance formula, as that'll give you the length of the line segment.

distance=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}\ where\ you\ have\ points\ (x_{1},y_{1})\ and\ (x_{2},y_{2}).

Using points A and B, the formula becomes:
A=(x_{1},y_{1})=(-1,-3)\\B=(x_{2},y_{2})=(11,-8)\\x_{1}=-1\\x_{2}=11\\y_{1}=-3\\y_{2}=-8\\\\distance=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}\\\\length\ of\ AB=\sqrt{(11-(-1))^{2}+((-8)-(-3))^{2}}\\\\ length\ of\ AB=\sqrt{(11+1)^{2}+(3-8)^{2}}\\\\length\ of\ AB=\sqrt{(12)^{2}+(-5)^{2}}\\\\length\ of\ AB=\sqrt{144+25}\\\\length\ of\ AB=\sqrt{169}\\\\length\ of\ AB=\pm 13

Length cannot be negative, so the length of AB is 13.
4 0
4 years ago
Which method would be the best to solve the following system of equations? [5x + 3y = -7 -2x – 3y = 19]
ZanzabumX [31]
Your answer is (B) ;) i hope
4 0
3 years ago
Find the slope of the line whose equation is 7x - 2y = 4. 7/2 -2 4/7
Nookie1986 [14]
To find the slope, we must put the equation in y = mx + b form, and m represents ur slope.

7x - 2y = 4....subtract 7x from both sides
-2y = -7x + 4 ...now divide both sides by -2
y = (-7/-2)x + (4/-2)
y = 7/2x - 2....now we have it in y = mx + b form, and since m is ur slope, ur slope in this equation is 7/2.
5 0
3 years ago
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