answer.
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
-BARSIC- [3]
2 years ago
10

Surface-finish defects in a small electric appliance occur at random with a mean rate of 0.3 defects per unit. find the probabil

ity that a randomly selected unit will contain at least two surface-finish defect.
Mathematics
1 answer:
mario62 [17]2 years ago
4 0

Answer: Probability that a randomly selected unit will contain at least two surface- finish defect is 0.04.

Step-by-step explanation:

Since we have given that

Mean rate defects per unit = 0.3

Since we will use "Poisson distribution":

P(X=K)=\frac{e^{-\lambda}\lambda^k}{k!}

But we need to find the probability that a randomly selected unit will contain at least two surface-finish defect.

P(X\geq 2)=1+P(X=0)+P(X=1)

So,

P(X=0)=\frac{e^{-0.3}0.3^0}{0!}=e^{-0.3}=0.74\\\\P(X=1)=\frac{e^{-0.3}\times 0.3}{1}=0.22

so, it becomes,

P(X>2)=1-(0.74+0.22)=1-0.96=0.04

Hence, probability that a randomly selected unit will contain at least two surface- finish defect is 0.04.

You might be interested in
I helped 3.6 customer per half hour yesterday. so i helped _____ customers in 7.5 hour yesterday
Serggg [28]

3.6 customers     x customers

--------------------   = ----------------

.5 hours                 7.5 hours



using cross products

3.6 * 7.5 = x * .5

divide by .5 on each side

3.6 * 7.5 / .5 =x

54 =x

You can help 54 customers

7 0
2 years ago
Write 0.00658 in standard form
Svetllana [295]

Answer:

0.00658 = 6.58 * 10^-3

Step-by-step explanation:

The standard form is a way of writing numbers easily in powers of 10.

To write a number in standard form, we have to move the decimal point to the front of the first non zero number.

Depending on the position of the decimal point to the first non zero number, movement can be towards the right or towards the left. When we move towards the right, our power of 10 will be negative, when we move in the left direction, our power of 10 will be positive

In this question, we shall be moving towards the right. Thus, our power of 10 is negative. We shall be moving towards the right 3 three times

Thus our power would be 10^-3

Thus our standard form will be 6.58 * 10^-3

Kindly note that another pointer is, if the value of our number to be written in standard form is less than zero, then the standard form will come in negative powers of 10. If the value of the number is greater or equal to 1 at least, then then the standard form will be in positive powers of 10

5 0
2 years ago
Solve the system of equations.<br> - 5x + 2y = 9
Marina CMI [18]

Answer: -5x + 2y -9 = 0

Step-by-step explanation:

1. Move constant to the left and change its sign

2. Change the signs on both sides of the equation

3 0
2 years ago
Which sentence can represent the inequality One-half x + three-fourths greater-than-or-equal-to 5 and one-fourth?
hodyreva [135]

Answer:

  The sum of half of a number and three-fourths is at least five and one quarter

Step-by-step explanation:

It's all about making sense of an English sentence.

  "half the sum ..." is different from "the sum of half ..."

And ...

  "at least" and "not less than" mean the same (≥)

  "not more than" and "at most" mean the same (≤)

_____

Since all of the expressions are written out in words, it is a matter of matching the ideas expressed. That's a problem in reading comprehension, not math.

__

"One-half x + three-fourths [is] greater-than-or-equal-to 5 and one-fourth"

  means the same as ...

"The sum of half of a number and three-fourths is at least five and one quarter"

6 0
2 years ago
Read 2 more answers
A charity fair raised $6,000 by selling 500 lottery tickets. There were two types of lottery tickets: A tickets cost $10 each, a
julsineya [31]





x= A ticket 
y=b ticket
x+y=500
10x+60y=6000 
-------------------
   10x+60y=6000 
-  x+y=500 (*10) ---> 10x+10y=5000
-------------------
   10x+60y=6000
-  10x+10y=5000
-------------------
50y=1000
y=1000/50
y=20
b ticket =20

x+y=500
x+20=500
x=500-20
x=480
a ticket=480
 answer is the last option , 
6 0
2 years ago
Other questions:
  • Cole earns $12.50 per hour and will receive a $0.75 per hour raise every year. Adam earns $10.50 per hour and will receive a $2
    8·1 answer
  • If a hospital patient is given 100 milligrams of medicine, which leaves the bloodstream at 14% per hour, how many milligrams of
    15·1 answer
  • Regina takes yoga classes 2 days a week at the community center.The cost for the classes is $72,and Regina pays an additional on
    9·2 answers
  • What is the sum of the polynomials? 1.3t3 + t2 – 42t + 8 1.3t3 + t2 – 6t + 8 1.9t3 + 8.4t2 – 42t 1.9t2 – 42t + 8
    6·2 answers
  • Find the exact values below. if applicable click on undefined cot(11pi/6)
    6·1 answer
  • The revenue of Apple® went from $54.5 billion in 2013 to $74.6 billion1 in 2015. Find an exponential function to model the reven
    7·1 answer
  • The number of cases of a new disease can be modeled by the quadratic regression equation y = –2x2 + 36x + 6, where x represents
    12·1 answer
  • A computer manufacturer ships laptop computers with the batteries fully charged so that customers can begin to use their purchas
    14·1 answer
  • An Internet and cable-television supplier surveyed a random sample of their customers. The results are shown in the table. A 4-c
    14·2 answers
  • A college is selling tickets to the annual battle of the bands competition. On the first day
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!