An eastern airport has recorded a monthly average of five near misses of landings and takeoffs in the past 5 years. We assume that the distribution of this number is Poisson. a. Find the probability that during a given month there are no near misses on landings and takeoffs at the airport. b. Find the probability that during a given month there are five near misses. c. Find the probability that there are at least five near misses during a particular month.

Answers

Answer 1

Answer:

The answer to this question can be defined as follows:

In option a "0.0067".

In option b "0.1755".

In option c "0.5595".

Step-by-step explanation:

It is about the distribution of Poisson:

[tex]\lambda = 5 (rate)[/tex]

t = 1

The formula for calculating Mean:  

[tex]\to \mu = \lambda \times t[/tex]

[tex]\to P(X=x) = \frac{e^{-\mu} \mu^{x}}{x!}[/tex]

calculate the value of Mean:

[tex]\to \mu =5 \times 1\\\\ \to \mu= 5[/tex]

In point a:

When the value of x is equal to 0:

[tex]\to P(X = 0) = \frac{e^{-5} 5^{0}}{0!}[/tex]

                    [tex]= \frac{e^{-5} \times 1 }{0}\\\\ = 0.0067 \times 1 \\\\ = 0.0067[/tex]

In point b:

When the value of x is equal to 5:

[tex]\to P(X = 0) = \frac{e^{-5} 5^{5}}{5!}[/tex]

                    [tex]= \frac{e^{-5} \times 3125 }{120}\\\\ = \frac{0.0067 \times 3125}{120} \\\\ = \frac{21.0560}{120}\\\\ =0.1754 \\\\[/tex]

In point c:

When the value of x is equal to 5:

[tex]\to P(X \ge 5) = 1 - P(X < 5) \\\\ \to P(X \ge 5) = 1 - P(X = 0) - P(X = 1) - P(X = 2) - P(X = 3) - P(X = 4) \\\\ \to P(X \ge 5) = 0.5595[/tex]


Related Questions

Please help me out on this

Answers

Answer


2^3/7

Step-by-step

find the value of x​
WILL MARK AS BRAINLIEST!

Answers

Answer:

37

Step-by-step explanation:

180-(81+62)=37

Answer:

x = 37°

Step-by-step explanation:

The sum of all internal angles in a triangle will always equal 180.

Thus, we know that 81 + 62 + x must equal 180.

81 + 62 + x = 180

143 + x = 180

Subtract 143 from both sides:

x = 180 - 143

x = 37

Answer: x = 37°


Which expression can be used to solve
3/5•|• 7/10

Answers

Answer: D

Step-by-step explanation: if you write it out it will be the exact same thing as D so it will be d

pls help me pls pls ​

Answers

x= -4

mark this as brainliest!!!

follow me!

Step-by-step explanation:

solution,or, 5x-3(x-2)=3x-2(x-1)   or,5x-3x+6 =3x-2x+2  or,2x+6=x+2 or, 2x-x=6+2 ( therefore, x=-4)

A triangle is placed in a semicircle with a radius of 5 yd, as shown below. Find the area of the shaded region.
Use the value 3.14 forn, and do not round your answer. Be sure to include the correct unit in your answer.
is yd please help

Answers

Answer:

  14.25 yd^2

Step-by-step explanation:

The triangle area is given by the formula ...

  A = 1/2bh

Here, the base is 10 yd, and the height is 5 yd, so ...

  triangle area = (1/2)(10 yd)(5 yd) = (5 yd)^2 = 25 yd^2

__

The semicircle is half the area of a circle with radius 5 yd, so its area is ...

  semicircle area = (1/2)π(5 yd)^2 = 12.5π yd^2 ≈ 39.25 yd^2

__

The shaded region is the difference between these areas:

  shaded area = 39.25 yd^2 -25 yd^2 = 14.25 yd^2

Find the domain of the graph

Answers

Answer:

The domain should be on the x-axis.

I might be wrong.

Help me pleaseee

The bottom number is a 4 btw it’s 20 points ❤️

Answers

Answer: It is 20 m, multiply each number by 1.25

regi received a 3.5 raise which raised his yearly income by $910. what is his new income?

Answers

Answer:

His new income is $26,910.

Step-by-step explanation:

As Regi has received an increase in his annual salary that has represented $ 910 in his payment, to determine his new salary the following calculation must be performed:

910 / 3.5 = 1% salary

260 = 1% salary

260 x 100 = previous salary

26,000 = previous salary

26,000 + 910 = current salary

26,910 = current salary

Therefore, his new income is $26,910.

The length of a rectangle is four times its width. If the area of the rectangle is 100 in2, find its perimeter.

Answers

Answer:

the perimeter is 50 inches squared

Step-by-step explanation:

if the length is 4 times that means the sides are 20 and 5

How fast will the train cover 290 miles if its speed is s miles per hour?

Answers

Answer:

290/s

Step-by-step explanation:

Basically, the question is asking you to find:

290/s miles per hour

The only problem is translating words to math.

Hope this helps!

Is 8.168 a rational number?

Answers

Answer:

yes

Step-by-step explanation:

PLEASE HELPP!! Round each mixed number to the nearest whole number. Then, estimate the sum.
14 11/12 + 3 1/6

Answers

Answer:

Step-by-step explanation: 14 11/12 rounds up to 15 and 3 1/6 is closer to 3 so the answer would be 18

(-8p^3+9p^2q)+(8p^3-pow+5q^2)

Answers

Answer:

-1opw+9p^2q+5q^2

Step-by-step explanation:

Houston, Texas get an annual rainfall of 5.2 times more than El Paso, Texas. Houston has an average rainfall of 46 inches, about how much rain does El Paso get?

Answers

Answer:

8.85 inches

Step-by-step explanation:

Divide Houston's average by 5.2 to find El Paso's:

46/5.2

= 8.85 inches

So, El Paso gets about 8.85 inches of rain

Answer:

8.846

Step-by-step explanation:

How to simplify 27/63

Answers

Answer:

3/7

Step-by-step explanation:

We do this by first finding the greatest common factor of 27 and 63, which is 9.

Then, we divide both 27 and 63 by the greatest common factor to get the following simplified fraction:  3/7

hope this helps plz mark brainilest

Answer:

0.42857142857

Step-by-step explanation:

Simplify (4.5)(5)(−2).

45
4.5
−4.5
−45

Answers

Answer:

-45

Step-by-step explanation:

(4.5)(5)(-2)=-45

therefore the answer would be the fourth option which is -45

Answer:-45

Step-by-step explanation:(4.5)(5)(-2)=-45

therefore the answer would be the fourth option which is -45

Pls help I don't understand :( Will give Brainliest

Answers

Answer:

a. [tex]\frac{3}{50}[/tex]

Step-by-step explanation:

The formula for rate of change is:

[tex]rate .of .change = \frac{change. in. y}{change .in. x}[/tex]   =  [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex]

Your points are (1000, 310) and (3500, 460)

So

[tex]x_{1}[/tex] = 1000

[tex]y_{1}[/tex] = 310

[tex]x_{2}[/tex] = 3500

[tex]y_{2}[/tex] = 460

Plug into the formula

[tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex]

[tex]\frac{460-310}{3500-1000}[/tex] = [tex]\frac{150}{2500}[/tex] Reduce, each are divisible by 50

150/50 = 3     2500/50 = 50

so:

[tex]\frac{3}{50}[/tex]

I am not 1000% sure but I think this is the answer. It’s A(3/50)because you just need to find the slope by using the slope formula. Hope this helped and I was right

WILL MARK BRAINLY IF CORRECT; 100 POINTS I ALREADY FIGURE OUT LETTER A & B. I JUST NEED TO FIGURE OUT LETTER C.

Carrie Overwood works fluctuating work schedules. Besides her fixed salary of $1,044 per week, her employment agreement provides for overtime pay at an extra half-rate for hours worked over 40. This week she worked 48 hours. Compute the following amounts. Round all divisions to two decimal places and use the rounded amounts in subsequent computations. Round your final answers to the nearest cent.

a. The overtime earnings $ 87.04

b. The total earnings $ 1,131.04

c. If this was a BELO plan with a pay rate of $23.45 per hour and a maximum of 48 hours, how much would Overwood be paid for 42 hours? $

Answers

Answer:

$1008.35

Step-by-step explanation:

938$+  70.35$ from overtime.

Answer:

1008.35

Step-by-step explanation:

I believe that's the answer

A carpenter makes wooden chairs.

He has enough wood to make 30 chairs.
He makes $60 profit on a dining chair and $90 profit on a rocking chair.
It takes him 1 hour to make a dining chair and 2 hours to make a rocking chair.
He only has 40 hours available to work on the chairs.
The carpenter wants to maximize his profit given the constraints. He draws the graph below to represent this situation.

Answers

Answer:

Is there supposed to be a graph somewhere?

*
(1 Punto)
(7.006 x 1041) x (5.09 x 1022)
OA 3.566 x 1041
OB 3.566 x 1062
ОС
3.566 x 1063
D
3.566 x 1064​

Answers

This question was not written properly

Complete Question

(7.006 x 10⁴¹) x (5.09 x 10²²)

OA) 3.566 x 10⁴¹

OB) 3.566 x 10⁶²

ОС) 3.566 x 10⁶³

OD)3.566 x 10⁶⁴

Answer:

D. 3.566 × 10⁶⁴

Step-by-step explanation:

We are asked to solve:

(7.006 x 10⁴¹) x (5.09 x 10²²)

When we multiply this together

= (7.006 × 5.09 ) × 10(⁴¹+²²)

= (7.006 × 5.09 ) × 10⁶³

= 35.66054 × 10⁶³

= 3.566054 ×10⁶⁴

Approximately = 3.566 × 10⁶⁴

7-(-1)
Simplify the expression

Answers

It would be 8........

Your friend says that in the number 45,951, one 5 is 10 times as great as the other 5. Is your friend correct? Expain.

Answers

Answer:

No.

Step-by-step explanation:

The friend is not correct because in this case one five is 100 times greater than the other, not 10.

I really need help . 12 points ​

Answers

Answer:

it the 2nd or last one but i think its the 2nd one

Answer:

it is last no. cause no negative or decimal are counted as order pair

Step-by-step explanation:

I guess I was help full for u

plz follow me for more updates

Find the two square roots of 9/4?

Answers

Answer: 0.75

Step-by-step explanation:

The two square roots of 9/4 is  [tex]3/2[/tex].

It is required to find the two square roots of 9/4.

What is square root?

A factor of a number that, when multiplied by itself, gives the original number. The square root of any number can be expressed using the formula: √y = y½.

Solution:

Using the principal square root:

[tex]\sqrt{9/4} \\\\=3/2[/tex]  and [tex]3/2[/tex].

Hence, the two square roots of 9/4 is  [tex]3/2[/tex].

Learn more about square roots here:

https://brainly.com/question/17835631

#SPJ2

solve each inequality -3x<12

Answers

Answer:

-3x<12

/-3  /-3

x<-4

Step-by-step explanation:

Solve the equation by the square root property. (x - 5)2 = 9 What is the solution set? (Use a comma to separate answers as needed.) D​

Answers

Answer:

See answer below.

All you have to do is input the equation into the square root formula.

Step-by-step explanation:

Answer:

x =

2 , 8

Step-by-step explanation:

(x-5)² = (x-5)(x-5) = x*x + x*-5 - 5*x - 5*-5 = x² - 5x - 5x + 25

          = x² - 10x + 25

x² - 10x + 25 = 9

x² - 10x + 25 - 9 = 0

x² - 10x + 16 = 0

x = {-(-10)±√((-10)²-(4*1*16))} / (2*1)

x = {10±√(100-64)} / 2

x = {10±√36} / 2

x = {10±6} / 2

x₁ = {10-6} / 2 = 4/2 = 2

x₂ = {10+6} / 2 = 16/2 = 8

Check:

x₁

(2-5)² = 9

-3² = 9

x₂

(8-5)² = 9

3² = 9

Please answer ASAP
what is 7.28 times 6 than that answer + 41.25 = ?

Answers

Answer: 84.93

Step-by-step explanation:

when you multiply 7.28 by 6 you get 43.68 then when you add 43.68+41.25 you get 84.93

Answer:

84.93

Step-by-step explanation:

7.28 x 6 +41.25

Do 7.28 x 6

43.68+41.25

Then add together

84.93

Determine the 18th term of the sequence 3,9,27,...

Answers

Answer:

[tex]x_{18}=387420489[/tex]

Step-by-step explanation:

So we have the sequence:

3, 9, 27...

First, note that this is a geometric sequence because each subsequent term not increasing linearly.

To find the 18th term, we can write an explicit formula.

The standard explicit formula for a geometric sequence is:

[tex]x_n=a(r)^{n-1}[/tex]

Where a is the initial term, r is the common ratio, and n is the nth term.

From the sequence, we can see that the initial term a is 3. The common ratio is 3 since each subsequent term is 3 times the previous term. So, substitute:

[tex]x_n=3(3)^{n-1}[/tex]

To find the 18th term, substitute 18 for n. So:

[tex]x_{18}=3(3)^{18-1}[/tex]

Subtract:

[tex]x_{18}=3(3)^{17}[/tex]

Evaluate:

[tex]x_{18}=3(129140163)[/tex]

Multiply:

[tex]x_{18}=387420489[/tex]

And we're done!

True or false please help ASAP

Answers

Answer:

true :)

Step-by-step explanation:

Answer:

true

Step-by-step explanation:

Joe has saved $50. He wants to
buy 3 graphic novels that cost $13 each.
Can Joe afford the graphic novels?

Answers

Answer:

Yes, Joe can afford the graphic novels.

Explanation:

Joe has $50Each graphic novel costs $13Joe wants 3 graphic novels

[ Multiply ]

13 · 3 = 39

Joe will be spending at total of $39 if he buys 3 graphic novels. He will have a total of $11 left over. Joe can afford the graphic novels.

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