1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
tekilochka [14]
3 years ago
6

N a poisson probability problem, the rate of errors is one every two hours. what is the probability of at most three defects in

four hours
Mathematics
1 answer:
pishuonlain [190]3 years ago
7 0
Mean for each hour = 1
Mean for four hours, m = 4

P(x,m)=m^x*e^(-m)/x!
where x is number of defects.

P(X<=3,4)
=P(X=0,4)+P(X=1,4)+P(X=2,4)+P(X=3,4)
=0.01832+0.07326+0.14653+0.19537
=0.43355

Probability of at most 3 defects in four hours is 0.43355
You might be interested in
Simplify the expression. Write your answer as a power. <br> 6^10/6^4
vladimir2022 [97]

Answer:

6^6

Step-by-step explanation:

Divide the terms with the same base by subtracting their exponents.

6^10 - 4 = 6^6

8 0
3 years ago
Read 2 more answers
2
never [62]

Answer:

hi

Step-by-step explanation:

Perdon si no te ayudo pero solo quiero los puntos para mis preguntas

6 0
2 years ago
Math:
Dahasolnce [82]

Answer:

a) x_{1} = \frac{\pi}{3}\pm 2\pi \cdot i, \forall i \in \mathbb{N}_{O}, x_{2} = \frac{5\pi}{6}\pm 2\pi\cdot i, \forall i \in \mathbb{N}_{O}, b) x_{1} = \frac{\pi}{3}\pm 2\pi \cdot i, \forall i \in \mathbb{N}_{O}, x_{2} = \frac{5\pi}{3}\pm 2\pi\cdot i, \forall i \in \mathbb{N}_{O}

Step-by-step explanation:

a) The equation must be rearranged into a form with one fundamental trigonometric function first:

\sqrt{3}\cdot \csc x - 2 = 0

\sqrt{3} \cdot \left(\frac{1}{\sin x} \right) - 2 = 0

\sqrt{3} - 2\cdot \sin x = 0

\sin x = \frac{\sqrt{3}}{2}

x = \sin^{-1} \frac{\sqrt{3}}{2}

Value of x is contained in the following sets of solutions:

x_{1} = \frac{\pi}{3}\pm 2\pi \cdot i, \forall i \in \mathbb{N}_{O}

x_{2} = \frac{5\pi}{6}\pm 2\pi\cdot i, \forall i \in \mathbb{N}_{O}

b) The equation must be simplified first:

\cos x + 1 = - \cos x

2\cdot \cos x = -1

\cos x = -\frac{1}{2}

x = \cos^{-1} \left(-\frac{1}{2} \right)

Value of x is contained in the following sets of solutions:

x_{1} = \frac{\pi}{3}\pm 2\pi \cdot i, \forall i \in \mathbb{N}_{O}

x_{2} = \frac{5\pi}{3}\pm 2\pi\cdot i, \forall i \in \mathbb{N}_{O}

7 0
3 years ago
The length of the longer leg of a right triangle is 20 inches more than twice the length of the shorter leg. The length of the h
Alex17521 [72]

Answer:

Step-by-step explanation:

Let x represent the length of the hypotenuse.

Let y represent the length of the the shorter leg.

Let z represent the length of the longer leg.

The length of the longer leg of a right triangle is 20 inches more than twice the length of the shorter leg. It means that

z = 2y + 20

The length of the hypotenuse is 22 inches more than twice the length of the shorter leg. It means that

x = 2y + 22

We would apply Pythagoras theorem which is expressed as

Hypotenuse² = opposite side² + adjacent side²

Therefore,

(2y + 22)² = y² + (2y + 20)²

(2y + 22)(2y + 22) = y² + (2y + 20)(2y + 20)

= 4y² + 44y + 44y + 484 = y² + 4y² + 40y + 40y + 400

4y² + 88y + 484 = y² + 4y² + 80y + 400

4y² + 88y + 484 = 5y² + 80y + 400

5y² - 4y²+ 80y - 88y + 400 - 484

y² - 8y - 84 = 0

y² + 6y - 14y - 84 = 0

y(y + 6) - 14(y + 6)

y - 14 = 0 or y + 6 = 0

y = 14 or y = - 6

The shorter length cannot be negative hence y = 14 inches

The length of the shorter side is 14 inches.

The length of the hypotenuse is

(2 × 14) + 22 = 50 inches

The length of the longer side is

(2 × 14) + 20 = 48 inches

7 0
3 years ago
I need help trying to find out what is 73% of 83?
Ymorist [56]

Answer:

60.59

Step-by-step explanation:

73%=0.73

0.73*83=60.59

7 0
3 years ago
Read 2 more answers
Other questions:
  • You are doing annual inventory at the hardware store where you work. A box filled with brass connectors weighs 5 pounds 4 ounces
    5·1 answer
  • Carisa predicted she answered 9 questions correctly out of 10 on a test. She actually got 8 answers correct. By what percent was
    14·1 answer
  • a toy copany want to sell 1.600 toy airplanes this year. so far they have sold 600. what percant of thee sales goal have they re
    11·1 answer
  • This semicircle has a diameter of 5 meters. What is the area of this figure? Use 3.14 to for pi. Enter your answer as a decimal
    7·2 answers
  • Paul took a 140 miletrip on his motorcycle. If he drove 60% of his trip on the first day,how many miles did Paul drive one day o
    11·1 answer
  • Which expression is equivalent to 3x - 52
    8·2 answers
  • The cost for bowling includes $4.00 for shoes and $4.75 for each
    5·2 answers
  • Alex and Jordan asked some friends about their favorite colors. Alex found that 4 out of 6 people prefer blue, and Jordan found
    12·1 answer
  • Q: Out of 20 attempts a basketball player scored 8 times. What percent of
    14·2 answers
  • 2x + 2y - x - (8 + 1)?
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!