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Helga [31]
3 years ago
11

Suppose a shipment of 190 electronic components contains 3 defective components. To determine whether the shipment should be​ ac

cepted, a​ quality-control engineer randomly selects 3 of the components and tests them. If 1 or more of the components is​ defective, the shipment is rejected. What is the probability that the shipment is​ rejected?
Mathematics
1 answer:
PolarNik [594]3 years ago
5 0

Answer:

0.0467

Step-by-step explanation:

Probabilty of being defective is  \frac{3}{190}

So probability of being good is  \frac{187}{190}

Now,

Probability that all 3 of them are good is:

\frac{187}{190}^{3}=0.9533

Now, to find probability of rejection, we subtract the now found probability from 1. Thus, we have:

1 - 0.9533 = 0.0467

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How does the graph of g(x) = (x − 1)3 + 5 compare to the parent function f(x) = x3?
ser-zykov [4K]

Answer:

The original function was transformed by a a horizontal shift to the right in 1 unit, and also a vertical shift upwards of 5 units.

Step-by-step explanation:

Recall the four very important rules regarding translations (shifts) of the graph of functions:

1) In order to shift the graph of a function vertically c units upwards, we must transform  f (x) by adding c to it.

2) In order to shift the graph of a function vertically c units downwards, we must transform  f (x) by subtracting c from it.

3) In order to shift the graph of a function horizontally c units to the right, we must transform the variable x by subtracting c from x.

4) In order to shift the graph of a function horizontally c units to the left, we must transform the variable x by adding c to x.

We notice that in our case, The original function f(x)=x^3 has been transformed by "subtracting 1 unit from x", and by adding 5 units to the full function. Therefore we are in the presence of a horizontal shift to the right in 1 unit (as explained in rule 3), and also a vertical shift upwards of 5 units (as explained in rule 1).

5 0
3 years ago
What is 3x - 2y= 16 x+5 y=11
inna [77]

Answer: (4,2)

Step-by-step explanation:

3 0
3 years ago
If Tom has $⁢803 left after spending 1/3 of his monthly salary for rent and 1/7 of his monthly salary for his utility bill, what
hjlf
He would have about $1,180 before paying for rent and the utilities.
4 0
3 years ago
You decide to go to the candy store in the mall. You arrive at the store with $25 and then purchase 3 candy bars. You then buy a
Yuri [45]

Answer:

<h2> The cost of a candy is $1.25</h2>

Step-by-step explanation:

given the total amount at hand is $25

let the price of  candy be x

then the cost of 3 candy will  be 3x

the cost of a candy snake is $12.50.

balance at hand after the end of buying $8.75

the total expenses summed up must equal the initial amount at hand which is $25

the expression for the scenario is 3x+12.5+8.75=25

3x+21.25=25

3x=25-21.25

3x=3.75

x=3.75/3

x=$1.25

The cost of a candy is $1.25

4 0
3 years ago
To make the expression 4x-2 + (2x + 4) equivalent to 2(6x + 7), what must be the value in the box?
podryga [215]

4x - 2 + (2x + 4) = 2(6x + 7) \\

4x - 2 + 2x + 4 = 12x + 14

Simplification

6x + 2 = 12x + 14

Subtract sides 2

6x + 2 - 2 = 12x + 14 - 2

Simplification

6x = 12x + 12

Subtract sides -12x

6x - 12x = 12x - 12x + 12

Simplification

- 6x = 12

Divided sides by -6

\frac{ - 6}{ - 6}x =  \frac{12}{ - 6} \\

x =  - 2

It is must be in the box buddy.

And we're done...♥️♥️♥️♥️♥️

5 0
3 years ago
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