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
Mademuasel [1]
3 years ago
6

A batch of 40 semiconductor chips is inspected by choosing a sample of 5 chips. Assume 10 of the chips do not conform to custome

r requirements. Round your answers to the nearest integer. a. How many different samples are possible? b. How many samples of 5 contain exactly one nonconforming chip? c. How many samples of 5 contain at least one nonconforming chip?
Mathematics
1 answer:
butalik [34]3 years ago
6 0

Answer:

a) 658008 samples

b) 274050 samples

c) 515502 samples

Step-by-step explanation:

a) How many ways sample of 5 each can be selected from 40 is just a combination problem since the order of selection isn't important.

So, the number of samples = ⁴⁰C₅ = 658008 samples

b) How many samples of 5 contain exactly one nonconforming chip?

There are 10 nonconforming chips in the batch, and 1 nonconforming chip for the sample of 5 be picked from ten in the following number of ways

¹⁰C₁ = 10 ways

then the remaining 4 conforming chips in a sample of 5 can be picked from the remaining 30 total conforming chips in the following number of ways

³⁰C₄ = 27405 ways

So, total number of samples containing exactly 1 nonconforming chip in a sample of 5 = 10 × 27405 = 274050 samples

c) How many samples of 5 contain at least one nonconforming chip?

The number of samples of 5 that contain at least one nonconforming chip = (Total number of samples) - (Number of samples with no nonconforming chip in them)

Number of samples with no nonconforming chip in them = ³⁰C₅ = 142506 samples

Total number of samples = 658008

The number of samples of 5 that contain at least one nonconforming chip = 658008 - 142506 = 515502 samples

You might be interested in
Solve the following equation: 6x-3= 5x-5
Ilya [14]

Answer:

-3.66

Step-by-step explanation:

6x-3=-25

6x=-22

X=-3.66

6 0
3 years ago
Find the slope of the line passing through the points (3,-4) and (-6,9)
Elden [556K]
3 right and up 13 AKA 3/13
6 0
3 years ago
What are the possible values of x in 32x + 20 = 28x − 16x2?
klemol [59]
<span>No two such factors can be found

</span>
5 0
3 years ago
Estimate the product of 126.12 and 2.2.
kifflom [539]
Product means the answer/result to a multiplication problem

Estimate means to form an approximation/ rough guess

126.12 x 2.2 = 277.464

This answer, 277.464, is the exact product

Its wanting us to find the estimate (there could be possible estimates, depending on what the instructions is asking for):

- 277
- 280
- 300
6 0
3 years ago
PLEASE HELP!!! GEOMETRY<br> please
Cloud [144]
Nothing else is given, so for the two triangles to be congruent, the only possible proof is the ASA theorem.
first pairs of angles: 2x+7=x+21 => x=14
second pairs of angles: 8y-4=4y+28 =>y=8
The two triangles share the same side PR
Based on the Angle-Side-Angle Triangle Congruence theorem, these two triangles are congruent with x=14, y=8
(2x+7) +(8y-4) +Q=180 =>85

4 0
3 years ago
Other questions:
  • the city park department is planning to enclose a play aea. one side of the area will be against an existing building, so no fen
    5·2 answers
  • Sally is a cat lady. Her cats seem to have a contagious disease. In the first year, two cats got the disease. Six years later, t
    14·1 answer
  • Describe the features of the graph f(x)=x+1/x+3
    9·1 answer
  • Find the Area of the Shaded Region.
    6·1 answer
  • What is the expanded form of 503.208
    13·1 answer
  • At a certain time of day, the sun causes objects to cast shadows at a 65° angle with the ground. At this time of day, a flagpole
    9·1 answer
  • Equation unknown Ms. Owens has some butterflies 7 of them fly away Now she has 12 butterflies left How many butterflies did she
    6·1 answer
  • Please help asap &lt;3333333
    11·1 answer
  • Someone please help :( ?????
    5·1 answer
  • Secondary succession occurs following triggers such as logging, mining, wildfires, or
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!