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sertanlavr [38]
3 years ago
12

A batch of 20 semiconductor chips is inspected by choosing a sample of 3 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 3 contain exactly one nonconforming chip? c. How many samples of 3 contain at least one nonconforming chip?
Mathematics
1 answer:
Hatshy [7]3 years ago
6 0

Answer:

A batch of 20 semiconductor chips is inspected by choosing a sample of 3 chips. Assume 10 of the chips do not conform to customer requirements.

a) Number of different samples = 20C3 =  \frac{20!}{3!(17!)} =1140

b) 2 good and one bad chip

Number of samples = 10C2 * 10C1 = 45 * 10 =450

c) 2 good 1 bad + 1 good 2 bad + 3 bad

Number of samples = 10C2 * 10C1 + 10C1 * 10C2 + 10C3

= 450+450+120=1020

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postnew [5]

Answer: .618033989 or 618033989/1000000000 or 61% (Not rounded)

Step-by-step explanation:

-1+ (the sign)5 =  1.236067977 and if you divide that by two you get .618033989 or 618033989/1000000000 or 61% (Not rounded)

6 0
3 years ago
Read 2 more answers
Solve. -1/2 + (3/4 x 4/9)
max2010maxim [7]
-0.16666666666 which equals -1/16.
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3 years ago
The height H of an ball that is thrown straight upward from an initial position 3 feet off the ground with initial velocity of 9
mariarad [96]

Answer:

The ball will be 84 feet above the ground 1.125 seconds and 4.5 seconds after launch.

Step-by-step explanation:

Statement is incorrect. Correct form is presented below:

<em>The height </em>h(t)<em> of an ball that is thrown straight upward from an initial position 3 feet off the ground with initial velocity of 90 feet per second is given by equation </em>h(t) = 3 +90\cdot t -16\cdot t^{2}<em>, where </em>t<em> is time in seconds. After how many seconds will the ball be 84 feet above the ground. </em>

We equalize the kinematic formula to 84 feet and solve the resulting second-order polynomial by Quadratic Formula to determine the instants associated with such height:

3+90\cdot t -16\cdot t^{2} = 84

16\cdot t^{2}-90\cdot t +81 = 0 (1)

By Quadratic Formula:

t_{1,2} = \frac{90\pm \sqrt{(-90)^{2}-4\cdot (16)\cdot (81)}}{2\cdot (16)}

t_{1} = 4.5\,s, t_{2} = 1.125\,s

The ball will be 84 feet above the ground 1.125 seconds and 4.5 seconds after launch.

3 0
3 years ago
To increase an amount by 30%, what single multiplier would you use? and To decrease an amount by 30%, what single multiplier wou
Kamila [148]

Answer:

To increase, use 1.3

to decrease, use .7

Step-by-step explanation

6 0
3 years ago
There are 4 pizzas which each have 12 slices. These pizzas will be divided between 15 people. How many slices does each person g
jasenka [17]
<h2><u>Anѕwєr :</u></h2>

48/15 or 3 whole 3/15

<h2><u>Explαnαtion :</u></h2>

There are 4 pizzas and each have 12 slices. So,

→ Number of slices each pizza have = 12 slices

→ Number of slices 12 pizzas have = (12 × 4) slices

→ Number of slices 12 pizzas have = 48 slices

Now, we have to find the number of slices each person get if they are split evenly.

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Let the the number of slices each person get if they are split evenly be x. So,

→ Total number of slices = Number of people × Number of slices each gets

→ 48 = 15x

→ <u>48/15 or 3 whole 3/15 = Number of slices each gets</u>

Therefore, the number of slices each person get if they are split evenly is 48/15.

5 0
2 years ago
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