10. A large shipment of video streaming devices is accepted upon delivery if an inspection of 20 randomly selected video streaming devices yields no more than 1 defective item. a. Find the probability that the shipment is accepted if 3% of the total shipment is defective. b. Find the probability that the shipment is accepted if 15% of the total shipment is defective.

Answers

Answer 1

Answer:

a) 0.8802 = 88.02% probability that the shipment is accepted

b) 0.1756 = 17.56% probability that the shipment is accepted if 15% of the total shipment is defective.

Step-by-step explanation:

For each item, there are only two possible outcomes. Either it is defective, or it is not. The probability of an item being defective is independent of any other item. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

20 randomly selected video streaming devices

This means that [tex]n = 20[/tex]

a. Find the probability that the shipment is accepted if 3% of the total shipment is defective.

3% defective means that [tex]p = 0.03[/tex]

Probability of at most 1 defective is:

[tex]P(X \leq 1) = P(X = 0) + P(X = 1)[/tex]

In which

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{20,0}.(0.03)^{0}.(0.97)^{20} = 0.5438[/tex]

[tex]P(X = 1) = C_{20,1}.(0.03)^{1}.(0.97)^{19} = 0.3364[/tex]

[tex]P(X \leq 1) = P(X = 0) + P(X = 1) = 0.5438 + 0.3364 = 0.8802[/tex]

0.8802 = 88.02% probability that the shipment is accepted.

b. Find the probability that the shipment is accepted if 15% of the total shipment is defective

Now [tex]p = 0.15[/tex]. So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{20,0}.(0.15)^{0}.(0.85)^{20} = 0.0388[/tex]

[tex]P(X = 1) = C_{20,1}.(0.15)^{1}.(0.85)^{19} = 0.1368[/tex]

[tex]P(X \leq 1) = P(X = 0) + P(X = 1) = 0.0388 + 0.1368 = 0.1756[/tex]

0.1756 = 17.56% probability that the shipment is accepted if 15% of the total shipment is defective.


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Itssssssss 30 have a nice day

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Hi there!

[tex]\large\boxed{V = 4/3\pi \text{ or } \approx 4.19 \text{ } units^{3}}[/tex]

Find the volume of a sphere using the following equation:

V = 4/3πr³

Substitute in the given radius:

V = 4/3π(1)³

V = 4/3π or ≈ 4.19 units³

Answer:

32/3π on khan academy

Step-by-step explanation:

A picture of Margo's garden is shown below. It is made of 2 rectangular prisms. She wants to
-10 feet -
1 foot
3 feet
7 feet
3 feet
7 feet
2 feet
09 cubic feet
O 10 cubic feet
0 98 cubic feet
0 107 cubic feet

Answers

The Volume of dirt required for the Margo's garden which is made of 2 rectangular prisms is, 107 cubic feet, So option D is correct

What is Volume?

In mathematics, Space occupied by three dimensional objects is called Volume. Basically it is a space within closed region of  every three dimensional objects.

In given problem, we have two rectangular prisms

One has sides (1 feet, 3  feet, 3  feet)

Another one has sides (2 feet, 7 feet, 7 feet)

Volume of a rectangular prism  = Length×Height×Width

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Volume of a rectangular prism 2  = 7×2×7 = 98

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An atom of gold has a mass of approximately 3.25 x 10-22 grams. What is the mass of
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Answers

3.25 would Raquel to 47 so 20

Please help! Picture attached!

Answers

Answer:

6.2

Step-by-step explanation:

Formula :

Distance between two points = √(xB−xA)2+(yB−yA)2(xB-xA)2+(yB-yA)2

Solution :

Distance between two points = √(5.5−1)2+(9.25−5)2(5.5-1)2+(9.25-5)2

= √4.52+4.2524.52+4.252

= √20.25+18.062520.25+18.0625

= √38.312538.3125 = 6.1897

What is the approximate value of this logarithmic expression?

Answers

9514 1404 393

Answer:

  B.  1.80

Step-by-step explanation:

The change of base formula can be used.

  [tex]\log_5(18)=\dfrac{\log{18}}{\log{5}}\approx\dfrac{1.25527}{0.69897}\approx1.7959\\\\\boxed{\log_5{18}\approx1.80}[/tex]

_____

Some calculators can compute the value for you directly.

When I solved this quadratic using the square root property, I am not sure if i did it correctly and I am not sure if there should be two x solutions.

Answers

Answer:

yup your answer is right

Step-by-step explanation:

two x solutions are +2√3

+2√3 can be written as +2√3 or -2√3

Answer:

yesssss you are rightttt

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Answer:

Using the formula,(x= base×height).

And the formula, (6+6×).

The answer should be: (A) 12

Step-by-step explanation:

Hope this helps! Have a good day/or night!

P.S: Sorry if I'm wrong I tried my best. Best wishes!!! And here's some sparkles ✨ (◍•ᴗ•◍)✧*。!!!

The value of x would be A (12)


What is the area of the square? It has a side of 5 mm.

Please help i give brainliest

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Answer:
25



Exp: bh so 5x5

A sixty-minute television program has 5 commercial breaks. Each break lasts 2 minutes. Write a numerical expression that represents the length of the program without commercial breaks. *

Answers

Answer: 60 - 10

Step-by-step explanation:

There are 5 commercial breaks with each of the breaks lasting 2 minutes.

Commercial breaks in total therefore last:

= 5 * 2

= 10 minutes.

The program is a 60 minute program so to find the amount of time the program lasts without the commercials, the expression is:

= 60 - 10

It lasts 50 minutes without commercials.

Compare the graph of g(x) = 6x2 with the graph of f(x) = x2.

Answers

Answer:

see explanation

Explanation:

the graph of g(x) is the graph of f(x) shifted vertically by

+ 6 units

or equivalent to a translation  

(

0

6

)

in general  

g

(

x

)

=

x

2

±

a

for  

a

>

0

shift is  

(

0

a

)

for  

a

<

0

shift is  

(

0

a

)

graph{(y-x^2)(y-x^2-6)=0 [-20, 20, -10, 10]}

Step-by-step explanation:

which models represent 1/4÷6 choose all correct answers​

Answers

Answer:

[tex]\dfrac{1}{24}[/tex]

Step-by-step explanation:

We need to find the value of 1/4÷6.

It can be done as follows :

[tex]\dfrac{\dfrac{1}{4}}{6}[/tex]

We know that, [tex]\dfrac{\dfrac{1}{x}}{y}=\dfrac{1}{xy}[/tex]

We have, x = 4 and y = 6

So,

[tex]\dfrac{\dfrac{1}{4}}{6}=\dfrac{1}{4\times 6}\\\\=\dfrac{1}{24}[/tex]

So, the final answer is equal to [tex]\dfrac{1}{24}[/tex].

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Step-by-step explanation:

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Answer:

A

Step-by-step explanation:

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A

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answer:

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Answers

Answer:

Hannah = 34 and 1/2

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Step-by-step explanation:

Hanna = x

Devonte = x+7

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2x=76-7

2x=69

x=34.5

Hannah = x = 34.5

Devonte = x+7 = 41.5

In Exercises 1-4, the sample size n, probability of success p, and probability of
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normal distribution to approximate the distribution of x.
1. n = 24, p = 0.85, 9 = 0.15
2. n = 15, p = 0.70, q = 0.30
3. n = 18, p = 0.90, q = 0.10
4. n = 20, p = 0.65, q = 0.35

Answers

Answer:

1. No

2. No

3. No

4. Yes

Step-by-step explanation:

Binomial approximation to normal.

The binomial probability distribution has parameters n, p and q.

If

[tex]np \geq 5[/tex] and [tex]nq \geq 5[/tex], you can use the normal approximation.

1. n = 24, p = 0.85, q = 0.15

[tex]np = 24*0.85 = 20.4 > 5[/tex]

[tex]nq = 24*0.15 = 3.6 < 5[/tex]

So no.

2. n = 15, p = 0.70, q = 0.30

[tex]np = 15*0.7 = 10.5 > 5[/tex]

[tex]nq = 15*0.3 = 4.5 < 5[/tex]

So no.

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[tex]np = 18*0.9 = 16.2 > 5[/tex]

[tex]nq = 18*0.1 = 1.8 < 5[/tex]

No

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[tex]nq = 20*0.35 = 7 > 5[/tex]

Yes

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

Quadrant 2 mark as brainllest

Clara bought 16 cases of water bottles. There were 12 water bottles in each case. Four students wrote and solved equations to find b, the number of bottles that Clara bought. Which student wrote and solved the equation correctly?
Maya’s work:
StartFraction b Over 12 EndFraction = 16. b = 1.3
Larissa’s work:
12 b = 16. b = 1.3
Sally’s work:
StartFraction b Over 12 EndFraction = 16. b = 192.
Anika’s work:StartFraction 12 Over b EndFraction = 16. b = 192.

Answers

Answer:

Sally is correct

Step-by-step explanation:

[tex]\frac{b}{12} =16[/tex]

to solve for b we can multiply both sides by 12 to get b alone.

b = 16 × 12

b = 192

Quick for 15 points. William was playing a board game that had a spinner with six equal-sized sections. Three of
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Percent:

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Ummmmmm u didn’t say how many parts were purple but I’m assuming there’s one so

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Not sure if it’s correct or not so u might wanna double check ur answer

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Answers

Answer:

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Step-by-step explanation:

V = lwh

V = 1 by 3 by 3

Answer:

9 cubic meters

Step-by-step explanation:

1x3x3=9

What is the quotient when (x+ 2) is divided into the polynomial 2x2 - 2x - 12?
O A. 2x-5 with no remainder
O B. X+ 3 with a remainder of -2
O C. 2x-3 with a remainder of 5
O D. 2x-6 with no remainder

Answers

Answer:

2x² - 2x - 12 ÷ (x+2)

= 2x - 6

D. 2x-6 with no remainder

The quotient when (x + 2) is divided into the polynomial 2x² - 2x - 12 is, (2x - 6) with no remainder.

What is Division method?

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.

For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

We have to given that;

To find the quotient when (x + 2) is divided into the polynomial

2x² - 2x - 12.

Now,

The polynomial is,

⇒ 2x² - 2x - 12

⇒ 2 (x² - x - 6)

⇒ 2 (x² - 3x + 2x - 6)

⇒ 2 [ x (x - 3) + 2(x - 3) ]

⇒ 2 [ (x + 2) (x - 3) ]

Hence, We can divide polynomial by (x + 2) as;

⇒ 2 [ (x + 2) (x - 3) ] ÷ (x + 2)

⇒ 2 (x - 3)

⇒ 2x - 6

Therefore, the quotient when (x + 2) is divided into the polynomial

2x² - 2x - 12 is, (2x - 6) with no remainder.

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Select which correctly describe the 92% confidence interval. (Select all that apply.)

a. We are 92% confident that the mean height of the entire business is larger than this interval.
b. The upper height represents the 92nd percentile.
c. We are 92% confident that the mean height of the entire business is in this interval.
d. The 92% confidence interval is a subset of the 85% confidence interval.
e. We are 8% confident that the mean height of the entire business is in this interval.
f. The 85% confidence interval is a subset of the 92% confidence interval.
d. 92 employees have heights in this interval.
e. 92% of employees have heights in this interval.

Answers

Answer:

c. We are 92% confident that the mean height of the entire business is in this interval.

f. The 85% confidence interval is a subset of the 92% confidence interval.

Step-by-step explanation:

x% confidence interval:

A confidence interval is built from a sample, has bounds a and b, and has a confidence level of x%. It means that we are x% confident that the population mean is between a and b.

Margin of error:

The larger the confidence interval, the larger the margin of error. That means that for example, an 85% confidence interval is a subset of the 92% confidence interval.

In this question:

92% confidence interval -> We are 92% sure that the population mean is in this interval.

The 85% confidence interval is a subset of the 92% confidence interval.

So options c and f.

What is the product of (t – 4) (t? + 2t - 6)?

Answers

Answer:

Step-by-step explanation:

(t - 4) (t + 2t - 6)

= t2 + 2t2 - 6t - 4t - 6t + 24

= Solving like terms

= 3t2 - 16t + 24

How do you do the half and sum of the equation?​

Answers

Answer:

13x - 4

Step-by-step explanation:

Hi,

5(3x -1)

-1/2(4x - 2)

To add...

5(3x - 1) + -1/2(4x - 2)

15x - 5 - 2x + 1

13x - 4

That's your answer :)

I hope this helps!

Kaitlyn is walking on a treadmill at a constant pace for 28 minutes. She has programmed the treadmill for a 2-mile walk. The display counts backward to show the distance remaining. Enter and graph the equation that gives the distance f(x) left in miles as a function of the number x of minutes she has been walking. Then, find and compete the interpretation of the x- and y-intercepts.

Answers

Is this multiplying or what??? Anyways try calculating those numbers so basically you need to calculate 28x2 or if you have to divide them or multiply them you would get the answer is very simple

Add the product of 2 and 5 to the product of 9 and 8

Answers

Answer:

82

Step-by-step explanation:

2*5 + 9*8 = 10 + 72 = 82

Answer:

82

Step-by-step explanation:

product means multiply 2*5= 10  9*8= 72

10 + 72 = 82

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