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Vilka [71]
3 years ago
13

In proof testing of circuit boards, the probability that any particular diode will fail is 0.01. Suppose a circuit board contain

s 200 diodes. (a) How many diodes would you expect to fail? 2 Correct: Your answer is correct. diodes What is the standard deviation of the number that are expected to fail? (Round your answer to three decimal places.)
Mathematics
1 answer:
castortr0y [4]3 years ago
5 0

Answer:   a) 2  b) 1.407

Step-by-step explanation:

Given : The probability that any particular diode will fail : p=0.01

The number of diodes in a circuit : n= 200

The number of diodes expected to fail will be :-

\mu= np=(200)(0.01)=2  

Hence, the number of diodes expected to fail =2

The standard deviation of the number that are expected to fail will be :-

\sigma=\sqrt{np(1-p)}\\\\\Rightarrow\sigma=\sqrt{200(0.01)(1-0.01)}\\\\=1.40712472795\approx1.407 [Rounded to three decimal places.]

Hence, the standard deviation of the number that are expected to fail= 1.407

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At Dwayne's Swimwear, 75% of the 92 swimsuit styles are bikinis. How many bikini styles are there?
bogdanovich [222]

Answer:

69 styles

Step-by-step explanation:

75%= 3/4

92/4= 23 (1/4)

23x3= 69

3 0
3 years ago
Mark bought 2 pounds of walnuts for 25.50 Approximately how much will he pay for 7 pounds of walnuts​
lara31 [8.8K]

Answer:

89.25

Step-by-step explanation:

2pound of walnut= 25.50

1 pound of walnut= 12.75

7punds of walnut= 89.25

7pounds of walnut= 12.75* 7=89.25

3 0
3 years ago
Help these are superrrrr hardd
sertanlavr [38]

Answer:

1.) 0

2.) b = -0.8333333333

3.) -x-22

Step-by-step explanation:

Pull out like factors :    -3x - 2  =   -1 • (3x + 2)

(-5 • (3x + 2) -  (x - 3)) -  (-16x - 7)  = 0

Pull out: -16x-7

After pulling out, we are left with:  (-16x-7) • ( 1 +( (-1) ))

Pull out like factors: -16x - 7  =   -1 • (16x + 7)  

0 = 0

____________________________________________

Simplifying

2(a + -3) + 4b + -2(a + -1b + -3) + 5 = 0

Reorder the terms:

2(-3 + a) + 4b + -2(a + -1b + -3) + 5 = 0

(-3 * 2 + a * 2) + 4b + -2(a + -1b + -3) + 5 = 0

(-6 + 2a) + 4b + -2(a + -1b + -3) + 5 = 0

Reorder the terms:

-6 + 2a + 4b + -2(-3 + a + -1b) + 5 = 0

-6 + 2a + 4b + (-3 * -2 + a * -2 + -1b * -2) + 5 = 0

-6 + 2a + 4b + (6 + -2a + 2b) + 5 = 0

Reorder the terms:

-6 + 6 + 5 + 2a + -2a + 4b + 2b = 0

Combine like terms: -6 + 6 = 0

0 + 5 + 2a + -2a + 4b + 2b = 0

5 + 2a + -2a + 4b + 2b = 0

Combine like terms: 2a + -2a = 0

5 + 0 + 4b + 2b = 0

5 + 4b + 2b = 0

Combine like terms: 4b + 2b = 6b

5 + 6b = 0

Solving

5 + 6b = 0

Solving for variable 'b'.

Move all terms containing b to the left, all other terms to the right.

Add '-5' to each side of the equation.

5 + -5 + 6b = 0 + -5

Combine like terms: 5 + -5 = 0

0 + 6b = 0 + -5

6b = 0 + -5

Combine like terms: 0 + -5 = -5

6b = -5

Divide each side by '6'.

b = -0.8333333333

Simplifying

b = -0.8333333333

_______________________________________

|x - 2| - 4*|-6|

=|x - 2| - 4* 6

=|x - 2| - 24

x-2>=0 then x>= 2 and = x-2-24  = x-26

x-2<0 then  x<2 and = 2-x-24 =-x-22

so , If x>=2 then the expression will equal   x-26

&

If  x<2 then the expression will equal    -x-22

_________________________________________

❂✨Answered By Tokyo ✨❂

❉ Brainliest Would Be Appreciated❉

✯If You Have Questions Ask In the Chat Box✯

4 0
3 years ago
Help me with this question please!!!
Deffense [45]
It would be c because you subtract the last two runs
3 0
3 years ago
Last week you worked 20 hours, and earned $255.
Marrrta [24]

Answer:

Answer:$12.75

Answer:$12.75Step-by-step explanation:

The hourly pay rate is $12.75 because all you have to do is divide $255 from 20 and you get $12.75

6 0
3 years ago
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