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Karo-lina-s [1.5K]
2 years ago
15

4.14 Defective rate. A machine that produces a special type of transistor (a component of computers) has a 2% defective rate. Th

e production is considered a random process where each transistor is independent of the others. (a) What is the probability that the 10th transistor produced is the first with a defect
Mathematics
1 answer:
scZoUnD [109]2 years ago
8 0

Answer:

Step-by-step explanation:

Given that transitor has a 2% defective rate, need to calculate the probability that the 10th transistor produced is the first with a defect.

The probability function is p(x=k) = (1-p)^(n-1) * p

p = (1-defective rate)^(n-1) * defective rate; n=10

p = (1-0.02)^9 * 0.02 = 0.98^9 * 0.02 = 0.01666

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A set of data points has a line of best fit of y=2.5x-1.5
castortr0y [4]

To solve this problem you must apply the proccedure shown below:

1- You must apply the following formula:

R=yo-yp

WhereR is the residual, yo is the observed value y and yp is the predicted value y.

2- You only need to substitute the x=5 into the equation y=2.5x-1.5 and then, you must apply the formula for calculate the residual:

y=2.5(5)-1.5\\ y=11

R=12-11\\ R=1

The answer is: The residual is 1

7 0
2 years ago
Read 2 more answers
Two numbers are randomly selected on a number line numbered from 1 to 9. Match each scenario to its probability.
Talja [164]

Answer:

1/9; 4/9; 1/12; 1/6

Step-by-step explanation:

the probability that both numbers are greater than 6 if the same number can be chosen twice--> 3/9 * 3/9 = 1/9

the probability that both numbers are less than 7 if the same number can be chosen twice --> 6/9 * 6/9 = 4/9

the probability that both numbers are odd numbers less than 6 if the same numbers cannot be chosen twice --> 3/9 * 2/8 = 1/12

the probability that both numbers are even numbers if the same numbers cannot be chosen twice --> 4/9 * 3/8 = 1/6

5 0
2 years ago
Read 2 more answers
On your birthday you receive a new TV valued at $1199. The value of the TV decreases by 25% each year. What will its value be 4
earnstyle [38]

Answer: 74.93

Step-by-step explanation:   if you heard of the line equals line method this should be able to help you.  

299.75                     25%

---------------=------------------  

$1199                     100%      

so you cross multiply 1199 and 25 and then divide it by 100.   which would be 299.75 that is the price per 1 year then you divide that value by 4 and that will be your answer.  

299.75 divided by 4= 74.93  

hope this helps

4 0
1 year ago
If 2x2 + y2 = 17 then evaluate the second derivative of y with respect to x when x = 2 and y = 3. Round your answer to 2 decimal
Vera_Pavlovna [14]

Answer:

y''=-1.26

Step-by-step explanation:

We are given that 2x^2+y^2=17

We have evaluate the second order derivative of y w.r.t. x when x=2 and y=3.

Differentiate w.r.t x

Then , we get

4x+2yy'=0

2x+yy'=0

yy'=-2x

y'=-\frac{2x}{y}

Again differentiate w.r.t.x

Then , we get

2+(y')^2+yy''=0 (u\cdot v)'=u'v+v'u)

2+(y')^2+yy''=0

Using value of y'

yy''=-2-(-\frac{2x}{y})^2

y''=-\frac{2+(-\frac{2x}{y})^2}{y}

Substitute x=2 and y=3

Then, we get y''=-\frac{2+(\frac{4}{3})^2}{3}

y''=-\frac{18+16}{9\times 3}=-\frac{34}{27}

Hence,y''=-1.26

6 0
2 years ago
Students at a high school were polled to determine the type of music they preferred. There were 1940 students who
Reika [66]

Answer:

students preferred alternative music

= 461/1940 ×100%=23.7%

6 0
2 years ago
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