A manufacturing process has a 70% yield, meaning that 70% of the products are acceptable and 30% are defective. If three of the products are randomly selected, one after the other, find the probability that all of them are acceptable. Consider these as independent.

Answers

Answer 1

Answer:

[tex]Probability = 34.3\%[/tex]

Step-by-step explanation:

Given

Represent acceptable with A and defective with D

[tex]A = 70\%[/tex]

[tex]B = 30\%[/tex]

Required

Determine the probability that three selected are acceptable

This can be represented as:

[tex]Probability = AAA[/tex]

Substitute values for A

[tex]Probability = 70\% * 70\% * 70\%[/tex]

[tex]Probability = 34.3\%[/tex]


Related Questions

√3x-1=7 solve for x. What is the root? If there is no root, choose none.

Answers

Remove the radical by raising each side to the index of the radical.
Exact Form:
x=50


3
x
=
50
3
Decimal Form:
x
=
16.
¯
6
x
=
Mixed Number Form:
x
=
16
2
3

Select the better deal in the pair. Then give the unit rate for the better deal. $21 5 gal or $61.05 15 gal

Answers

Answer:

The second one is a better deal

Step-by-step explanation:

Answer:

$61.05 for 15 gal is better deal

Step-by-step explanation:

$61.05 divided by 15=$4.07 per gallon

$21 divided by 5= $4.2 per gallon

If Mitzi has two dogs, a puppy that weighs 25 pounds and an adult that weighs 80 pounds, how much will it cost to bathe them both?

Answers

The cost to groom both dogs should be $105.

Answer:

105

Step-by-step explanation:

When does a quadratic equation have no solutions

Answers

Answer:

A quadratic equation has solutions when the graph crosses the x-axis. There are two ways the graph can have no solution, when the "a" value is greater than 0 and is translated vertically above the x-axis, or if the opposite occurs, when the "a" value is negative and is translated vertically below the x-axis.

What is the distance form X to the rock ? Plz help

Answers

Answer:

50 or 60 feet

Step-by-step explanation:

Zoe has 8 cups of whole-wheat flour. If each loaf of her favorite bread requires Three-fourths of a cup of whole-wheat flour, how many whole loaves of bread can she make using 8 cups?



A number line going from 0 to 8.

4 loaves
6 loaves
10 loaves
11 loaves

Answers

Answer: it’s either 10 on 6 imma tell you why I said those two

Explanation: The answer is 10 whole loaves.
We get this answer by dividing 8 by (3/4).
Which results in decimal points as 10.6.
Therefore meaning only 10 loaves were whole. And I said 6 because you have to divide 3/4 by 1/8 and it gives u 6

Answer:

10

Step-by-step explanation:

-3= 6 +?
Help ASAP!!

Answers

Answer:

-9

Step-by-step explanation:

-3 = 6 - 9

-3 = -3

Write a polynomial function that has a leading coefficient of 1, and the given zeros
at 3, 5, and -i.

Answers

9514 1400 393

Answer:

  p(x) = x^4 -8x^3 +16x^2 -8x +15

Step-by-step explanation:

Assuming you want real coefficients, the imaginary root means its conjugate is also a root. In factored form, the polynomial is ...

  p(x) = (x -3)(x -5)(x -i)(x +i) = (x^2 -8x +15)(x^2 +1)

  p(x) = x^4 -8x^3 +16x^2 -8x +15

What times what equals -20 and those same numbers added together equals 8

Answers

Answer:

10 and -2

Step-by-step explanation:

Step-by-step explanation:

The time needed to complete a job is normally distributed with a mean of 1 hour and standard deviation of 10 minutes. Probability to complete the job in hone hour or more, but less than 70 minutes is:

Answers

Answer:

The value is [tex]P(60 < X < 70) = 0.34134[/tex]    

Step-by-step explanation:

From the question we are told that

   The mean is  [tex]\mu = 1 \ hour = 60 \ minutes[/tex]

    The standard deviation is  [tex]\sigma = 10 \ minutes[/tex]

Generally the 1 hour is equivalent to 60 minutes

   Generally the probability to complete the job in one hour or more, but less than 70 minutes is mathematically represented as

    [tex]P(60 < X < 70) = P(\frac{60 - 60 }{10 } < \frac{X - \mu}{\sigma } < \frac{70 - 60 }{10 } )[/tex]

=> [tex]P(60 < X < 70) = P(0 < \frac{X - \mu}{\sigma } < 1 )[/tex]

[tex]\frac{X -\mu}{\sigma }  =  Z (The  \ standardized \  value\  of  \ X )[/tex]

=> [tex]P(60 < X < 70) = P(0 <Z < 1 )[/tex]

=>     [tex]P(60 < X < 70) = P(Z < 1) - P(Z < 0 )[/tex]

From the  z  table  (Z <  1)  and  (Z <  0 ) is  

        [tex]P(Z < 1) = 0.84134[/tex]

and  

      [tex]P(Z < 0 ) = 0.5[/tex]

=>    [tex]P(60 < X < 70) = 0.84134 - 0.5[/tex]

=>    [tex]P(60 < X < 70) = 0.34134[/tex]        

meredith deposited $200 into an account

Answers

What’s the question? Or what am I suppose to answer
In what account she did


Which of the following expressions would represent a class of 24 students divided equally into 6 groups?

Answers

Answer:

24/6=x

where x is the number of students in every group

Step-by-step explanation:

there's 24 kids in total

you want to divide them into 6 groups

24/6

Mandy took a total of 6 quizzes over the course of 3 weeks. At this rate, attending 5 weeks of school this quarter, how many quizzes will Mandy have taken?

Answers

Answer

2 is the unit rate

Step-by-step explanation:

6/3 =2x5=10

Answer:

2

Step-by-step explanation:

Write a linear equation for the line that passes
through the two points (-6, 7) and (-3, 6). Show all
work

Answers

Answer:

y=-1/3x+5

Step-by-step explanation:

to find the slope you have to use the equation y₂-y₁/x₁-x₂

which will give you 6-7/-3-(-6) --> -1/3

the product of this equation is your slope

4. What is the equation of a line perpendicular to 2x - 8y = 3 that contains the point (-8, 11)?
A. 2x - 8y = 104
C. 8x + 2y = 42
B. 2x + 8y = 104
D. 8x - 2y = 86​

Answers

Answer:

C

Step-by-step explanation:

It's y=-4/1-21

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

The equation of the line is y = (-1/2)x + 7

What is an equation of a line?

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

We have,

Let the equation of the line is y = m(1)x + c

The line is perpendicular to 2x - 8y = 3

The means,

2x - 8y = 3

-8y = 3 - 2x

y = -(3 - 2x)

y = -3 + 2x

y = 2x - 3

This is in the form of y = m(2)x + c

m(2) = 2 and c = -3

Now,

The line y = m(1) + c is perpendicular to y = m(2) + c

So,

m(1) x m(2) = -1

m(1) = -1/2

Now,

The line contains (-8, 11) = (x, y).

This means,

y = m(1)x + c

11 = (-1/2) x -8 + c

11 = 4 + c

c = 11 - 4

c = 7

Now,

The equation of the line is y = (-1/2)x + 7

Thus,

The equation of the line is y = (-1/2)x + 7

Learn more about equation of a line here:

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Adrian's gerbil weighed 68.59 grams at the beginning of the summer. During the summer, the gerbil gained 24.6 grams.



Estimate the weight of the gerbil at the end of the summer by rounding each value to the nearest whole number.

Answers

Answer:

94 grams

Step-by-step explanation:

Adrian gerbil weighed 68.59 grand at the beginning of the summer

During the summer the gerbil gained 24.6 grams

Therefore the weight of the gerbil at the end of the summer can be calculated as follows

= 69 + 25

= 94 grams

Therefore the weight of the gerbil at the end of the summer is 94 grams

A company deposited a $420 check in its bank account. However, the amount was recorded as $240 in the company’s books (checkbook). Which journal entry adjustment should the accountant make?
A.
The cash account will be debited by $420.
B.
The cash account will be credited by $240.
C.
The cash account will be debited by $180.
D.
The cash account will be credited by $420.

Answers

Answer:

I think the answer is C.

Step-by-step explanation:

You subtract the difference with the real amount with the mistake and get $180.

mang 2) Write the equation of a line that is parallel to –3x + 2y = 6 and goes through the point (-1,-4).​

Answers

Step-by-step explanation:

[tex]y - y1 = m(x - x1)[/tex]

[tex]y - ( - 4) = \frac{3}{2} (x - ( - 1)[/tex]

[tex]y = \frac{3(x + 1) - 8}{2} [/tex]

[tex]y = \frac{3}{2} x - \frac{5}{2} [/tex]

What is the solution to this system of equations?

y = x + 6
y = -0.5x + 3
A. (2, -1)
B. (-2,4)
C. (-1,2)
D. (4,-2)

Answers

The correct answer is B (-2,4)

Hello please help will give brainliest!

Answers

Answer:

I'm pretty sure it's A because it's measured with Miles pH no hour per mile

Answer:

A

Hope this helped ;)

Use this information and the information you have learned in the last three lessons to decide which savings option is best for Vincent. Use the PACED decision-making method and show your work. Which savings option is best for Vincent?

Answers

Answer:

(the biggest %off would be the answer, but ther is no list of decisions or different coupons)

Step-by-step explanation:

again, 100% off would be the best deal, but no answer choices.

(i might be wrong;im farming for brainly points.)

what is the equation of a line that is parallel to 2x+3y=3 and passes through the point (3, -4).​

Answers

Answer:I think it is 2x - 3y=27

Step-by-step explanation:I had it on a quiz.

b) how would
You work out 7 2/3 + 2 1/5

Answers

Answer:

9 13/15

Step-by-step explanation:

Find a common denominator which is 15

2        10.             1.               3

—  =  ——.          ——   =      ——

3        15              5               15

7 + 2 = 9

10/15 + 3/15 = 13/15

9  13/15

Answer:

Step-by-step explanation:

7+2=5

I would convert 2/3 into 10/15 and convert 1/5 into 3/15 and add

10/15 + 3/15 = 13/15 and the answer would be

5 13/15

The degree of the polynomial function f(x) is 3.

The roots of the equation f(x)=0 are −4, 0, and 2.

Which graph could be the graph of f(x)?

Answers

Answer:

there is no image

Step-by-step explanation:

For the number line shown, which statement is not true?

A number line shows a to the left of 0 and b to the right of 0. Point a is closer to 0 than point b.
|a| > b
–|b| a
|a| < |b|

Answers

Answer:

1a8?

Step-by-step explanation:

thi is how

The incorrect statement for the given condition is;

⇒ |a| > b

What is Number line?

Number line is a horizontal line where numbers are marked at equal intervals one after another form smaller to greater.

Given that;

A number line shows 'a' to the left of 0 and 'b' to the right of 0. Point a is closer to 0 than point b.

Now,

Since, Point a is closer to 0 than point b.

And,  Number 'a' to the left of 0 and 'b' to the right of 0.

Hence,

Let the number 'a' = - 1

Then, The number 'b' = 2

So, We get;

|a| = |-1| = 1

And, |b| = 2

Clearly, |a| < b

Thus, The incorrect statement for the given condition is;

⇒ |a| > b

Learn more about the number line visit:

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HELP PLEASE I really need the answer

Answers

Answer:

1. 1.85

2. 18.5

3. 185

4. 1850

5. Kristen needs '1850' years of yarn

Step-by-step explanation:

........................?

Answers

???????????!!!!!!!!!!...........

which ordered pair is a solution of the equation y=4x?

a-(1,3)
b-(-1,-4)
c-(-4,-1)
d-(1,-4)

Answers

the answer is (-1 , -4) or B. -4 = 4(-1) is true since a positive number times a negative number is a negative number. therefore, it would become -4 = -4

A chef can finish a catering job in 9hrs. His student can do the same job in 18hr. How long will it take them to do the job if they work together?

Answers

Answer:

if they do together it will take 9 hour, same like which the chef can finish.

Luis bought stock at $50.70. The next day, the price increased $17.75. This new price changed by -3-%
3
4
the following day. What was the final stock price, rounded to the nearest cent? Is your answer reasonable?
Complete the explanation.

Answers

Answer:

Starting price is $50.70.

Next day the price is $50.70 + $17.75 = $68.45

This price then changed by: [tex]-3\frac{3}{4}\%=-3.75\%[/tex].

So in order to calculate that we do: [tex]68.45 - (3.75/100*68.45)=65.883125 =\$65.88[/tex]

Therefore final price is $65.88.

Yes, this is reasonable.

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