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artcher [175]
3 years ago
13

A quality control inspector samples 2 computer chips from a box containing 13 computer chips. If the box contains 3 defective ch

ips, in how many ways can he select a sample so that at least one of the chips is defective?
Mathematics
1 answer:
elena-14-01-66 [18.8K]3 years ago
5 0

Answer:

The number of ways to select a sample of 2 computer chips so that at least one of the chips is defective is 33 ways.

Step-by-step explanation:

The box contains 13 computer chips. Of these 13 chips 3 are defective and 10 are good.

A quality control inspector samples 2 computer chips.

The number of ways to select at least 1 defective chip is:

n (At least 1 defective chip) = n (1 defective chip) + n (2 defective chips)

The number of ways to select 1 defective chip is: {3\choose 1}{10\choose 1}=3\times10=30 ways.

The number of ways to select 2 defective chips is:{3\choose 2}{10\choose 0}=3\times1=3 ways.

n (At least 1 defective chip) = n (1 defective chip) + n (2 defective chips)

                                             = 30 + 3

                                             = 33

Thus, the number of ways to select a sample of 2 computer chips so that at least one of the chips is defective is 33 ways.

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Write a number of grams between 10 and 20, and then write an equivalent amount in milligrams.
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Answer:

15 grams and 15000 milligrams

Step-by-step explanation:

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3 years ago
Consider a binomial experiment with n=2 and p=0.6
nalin [4]

Answer:

x=?

Step-by-step explanation:

12xn=20xp

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Alang has a loyalty card good for a discount at his local pharmacy. The item he wants to buy is priced at $13, before discount a
kap26 [50]

The percentage discount will be 9%.

<h3>How to calculate the value?</h3>

From the information given, the item he wants to buy is priced at $13, before discount and tax and after the discount, and before tax, the price is $11.83.

The percentage discount will be:

= (13 - 11.83)/13 × 100

= 1.17/13 × 100

= 9%

Therefore, the percentage discount will be 9%.

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5 0
2 years ago
D(n)=-5(1/2)^n-1 what is the 3rd term in the sequence
Studentka2010 [4]

Answer:

-1.25

Step-by-step explanation:

Better to write this as

a(n)= -5(1/2)^(n-1)

Then the 3rd term is a(3) = -5(1/2)^(3 - 1), or  a(3) = -5(1/2)^2  = -5/4 = -1.25

7 0
2 years ago
Iago is interested in money. He has a collection of bills in his pocket. He finds that he has two fewer $20 bills than he does $
Colt1911 [192]

Let x be the number of $10 bills in Iago pocket.

1. If he has twice as many $1 bills as $10 bills, then he has (2x) $1 bills.

2. He has two fewer $20 bills than he does $10 bills, then he has (x-2) $20 bills.

3. He has three more $5 bills than $10 bills, then he has (x+3) $5 bills.

In total he has $160 that is x·10+2x·1+(x-2)·20+(x+3)·5.

Equate these two expressions and solve the equation:

x\cdot 10+2x\cdot 1+(x-2)\cdot 20+(x+3)\cdot 5=160,\\ \\10x+2x+20x-40+5x+15=160,\\ \\37x=160+25,\\ \\37x=185,\\ \\x=5.

Thus, he has

  • 5 bills for $10;
  • 10 bills for $1;
  • 3 bills for $20;
  • 8 bills for $5.
3 0
3 years ago
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