A quality control inspector has drawn a sample of 19 light bulbs from a recent production lot. If the number of defective bulbs is 1 or less, the lot passes inspection. Suppose 30% of the bulbs in the lot are defective. What is the probability that the lot will pass inspection

Answers

Answer 1

Answer:

0.0016283

Step-by-step explanation:

Given that:

Proportion of defective bulbs, p = 30% = 0.3

Sample size, n = 19 bulbs

Probability that the lot will pass inspection :

P(none of the 19 is defective) Or P(only one of the 19 is defective)

P(none of the 19 is defective) = (1 - p) ^n = (1 - 0.3)^19 ; 0.7^19

0.7^19 = 0.0011398

P(only one of the 19 is defective) :

P(1 defective) * P(18 not defective )

(0.3) * (1 - 0.3)^18

0.3 * 0.7^18

0.3 * 0.001628413597910449 = 0.0004885

Hence,

P(none of the 19 is defective) + P(only one of the 19 is defective)

0.0011398 + 0.0004885) = 0.0016283


Related Questions

please answer fast!!
I am really confused and I don't know what to do.

Answers

Answer:

C

Step-by-step explanation:

A=
B=
Blank 1:
Blank2:

Answers

Answer:

a=3,b=1

Step-by-step explanation:

In a parallelogram opposite sides are equal/congruent.

Using this, we know that 3a-4=a+2 and b+1=2b

1st equation:

3a-4=a+2

-a       -a

2a-4=2

   +4 +4

2a=6

a=3

2nd equation:

b+1=2b

-b     -b

b=1

a=3, b=1

A town has a population of 14000 and grows at 2.5% every year. What will be the
population after 5 years, to the nearest whole number?
What’s the answer?

Answers

Answer:

6.5

Step-by-step explanation:

Answer:

y≈15840

Step-by-step explanation:

Exponential Functions:

a=starting value = 14000

r=rate = 2.5%=0.025

Exponential Growth:

b=1+r=1+0.025=1.025

Write Exponential Function:

put it all together-

y=14000(1.025)^x

Plug in time for x:

y=14000(1.025)  ^5

Evaluate-

y=15839.71498

round-

y≈15840

Which of the following is not a correct statement about
the pie chart?
More students have hazel eyes than blue.
Most of the students in the class have brown eyes.
More students in the class have blue eyes than
hazel.
O The fewest number of students have gray eyes.

Answers

Answer:

More students have hazel eyes than blue.

Step-by-step explanation:

Answer:

Step-by-step explanation:

A figure has been dilated from the origin by a scale factor of one seventh. if another dilation from the origin maps the dilated image back
onto the original figure, what is its scale factor?

Answers

Answer:

its scale factor is 3

Step-by-step explanation:

plz mark brainliest

To map the dilated image back  onto the original figure, the scale factor needed is 7.

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, translation and dilation.

Dilation is the increase or decrease in the size of a figure by a factor.

If a figure is dilated from the origin by a scale factor of one seventh, it is given by:

(x, y) ⇒ [(1/7)x, (1/7)y]

To map the dilated image back  onto the original figure, the scale factor needed is 7. Hence:

[(1/7)x, (1/7)y] ⇒ (x, y)

Find out more at: https://brainly.com/question/11707700

Percy bought an encyclopedia pried at $13.85 shipping and handing cost an additional 20 percent of the price

Answers

Answer:

Percy spent $2.77 for shipping and handling.

Step-by-step explanation:

2.77 is 20 percent of 13.85

What is the quotient of 2/3 divided by 4

Answers

Answer:

Step-by-step explanation:

(2/3)/4=(2/3)*(4/1)=8/3=2 2/3

A consumer agency wants to determine which of two laundry detergents, A or B, cleans better. Fifty pieces of fabric are subjected to the same kinds of stains (grass, mud, coffee). Then 25 pieces are randomly assigned to be cleaned with detergent A, and the remaining 25 pieces are cleaned with detergent B. After being laundered, the pieces of fabric are rated on a scale of 1–10, with 1 being the least clean to 10 being the most clean. The mean rating for detergent A is found to be significantly less than the mean rating for detergent B.

Answers

Answer:

B is the better detergent

Step-by-step explanation:

If A has a lower number on the 1-10 scale, that means on average it was closer to the lower end, or the least clean end. This means that A cleans worse than B., and B is better.

The two laundry detergents B cleans better.

Although the questions seems to be tricky at the begging because of a lot of numbers, but actually it is not.

Given to us in the question that, 25 pieces are randomly assigned to be cleaned with detergent A, and the remaining 25 pieces are cleaned with detergent B.

Thus, we can say that the sample size for both detergent A and detergent B is same. Also, the sample is distributed randomly meaning the sample is unbiased (fair).

Also, as given the mean rating for detergent A is found to be significantly less than the mean rating for detergent B. And we know that the mean is the average of a set of given numbers.

Therefore, we can conclude that if detergent A has a lower mean meaning, it has cleaned the clothes with less effectiveness as compared to detergent B.

Hence, Out of the two laundry detergents, B cleans better.

To know more visit:

https://brainly.com/question/16967035

HELP PLEASE PLEASE!!!

Answers

x=64Step-by-step explanation:

What is the value of the expression 9 + ( fraction 1 over 2 )4 ⋅ 48?

Answers

Answer:

105

Step-by-step explanation:

9 + (1/2)4 x 48

9 + 96 = 105

Answer:

105

Step-by-step explanation:

SO, based on the way you worded it, the equation is

[tex]9 + 1/2 *4*48[/tex]

You multiply [tex]1/2 * 4[/tex] first.

This gives you 2.  [tex]2*48=96[/tex]

96 + 9 =105

50. If angles are complementary, what’s value of x?

Answers

Answer:

x = 14

Step-by-step explanation:

For complementary angles, the sum of two angles is equal to 90 degrees.

We have,

[tex]m\angle ABC = 4x-10\\\\m\angle DBC = x+30[/tex]

ATQ,

[tex]4x-10+x+30=90[/tex]

Taking like terms together,

4x+x =90-30+10

5x = 70

x = 14

So, the value of x is 14.

3x-2y=1x+4y=33 elimination process ​

Answers

Answer:

x = 5 ; y = 7

Step-by-step explanation:

3x - 2y = 1       --------------------(I)

 x + 4y  = 33 ------------(II)

Multiply equation (II) by (-3) and then add. So, x will be eliminated and we can find the value of y

(I)            3x - 2y = 1

(II)*(-3)   -3x -12y = -99         {Now add}

                 - 14y = -98

                        y = -98/14

y = 7

Plugin y = 7  in equation (I)

3x - 2*7 = 1

  3x - 14 = 1

         3x = 1 + 14

         3x = 15

           x = 15/3

x = 5

A pizzeria charges $2 per slice of pizza, plus an additional $0.75 per topping. If
Erica has at most $12.50 to spend on her pizza, how
many toppings could she get
on ONE slice of pizza? Write an inequality expression that represents the
situation and solve! Explain your reasoning (no work, no points)! You can
copy/paste the following symbols as needed: 2s<>
Your answer

Answers

Answer:

Maximum amount of toppings is 14 inequality is t <=14

Step-by-step explanation:

let t be the amount of toppings on the pizza

0.75t + 2 <= 12.50

0.75t <= 10.50

t <= 14

it would be 14. 2 minus 12.50 is 10.50 which divided by .75 is 14

A rectangular mat has an area of 7/12 in2. The length of the mat is 5/6 in. What is the width of the mat

Answers

The width of the mat with the given area and length is 7/10 in.

What is the width of the mat?

The area of a rectangle is expressed as;

A = l × w

Where l is length and w is width.

Given the data in the question;

Area A = 7/12 in²Length l = 5/6 inWidth w = ?

We plug our given values into the above equation and solve for w.

A = l × w

7/12 = 5/6 × w

w = 7/12 ÷ 5/6

w = 7/12 ÷ 6/5

w = 42/60

w = 7/10 in

Therefore, the width of the mat with the given area and length is 7/10 in.

Learn more about area of rectangle here: https://brainly.com/question/20693059

#SPJ1

Ed use 3 2/3 cups of peanut butter and 2 cups of powdered sugar to make 1 batch of peanut butter fudge. How much more peanut butter will Ed use than powdered sugar to make 3 batches of fudge?

Answers

Answer:

Ed will use 5 more peanut butter  than powdered sugar to make 3 batches of fudge(11-6=5)

Step-by-step explanation:

3 2/3 cups of peanut butter (x)

2 cups of powdered sugar(y)

for every one batch you need 2 cups, and for 3 batches you need 6 cups of powdered sugar(2*3=6)

and  for every batch you need 32/3 cups of peanut butter and for three batches you need (3 2/3 *3)= 11/3 *3=33/3=11 cups of peanut butter to make the fudge

Ed will use 5 more peanut butter  than powdered sugar to make 3 batches of fudge(11-6=5)

Solve the equation + 6 = 2.
Question 13 options:

A)

No Solution

B)

a = 13

C)

a = 7

D)

a = 61
Question 14 (5 points)
Solve the equation 10 + y√
y
= 14

Question 14 options:

A)

y = 576

B)

y = 4

C)

y = 16

D)

y = 2

Answers

The answer is a=7 because you have to do 7-6 which equals to 2 which a=7 is the right answer

The price of an item has been reduced by 15%. The original price was  $87.​

Answers

Answer:

The new cost is $73.95

The discount was $13. 05

Step-by-step explanation:

Turn the % into a decimal so it would be 0.15.

Then multiply it to the total, 87 x 0.15 = 13. 05

so the discount subtracted $13.05 off of the original price.

87 - 13. 05 = 73.95

In a basketball game Jamarcus made 15 out of 25 shots and tyrell made 32 out of 50 shots who’s the better shooter

Answers

Answer:

Jamarcus is the better shooter

Step-by-step explanation:

Jamarcus is better because he needs 10 more shots to reach 25 while tyrell needs 18 More shots to make 50

Answer:

Tyrell

Step-by-step explanation

Well this is simple you take Jamarcus shots made and divide it into the total shots which is 15/25=0.6 or 60%. So Jamarcus made 60% of the shots attempted. Tyrell made 32 out of 50 shots so that will be 32/50=0.64 or 64%. Since 64%>60% Tyrell is the better shooter

There were 27 boxes of tea in the tea house. Each box weighed 18 kg. After selling 12 boxes, the shopkeeper packed the remaining tea into bags of 9 kg each. How many bags of tea can be packed?

Answers

Answer:

30 boxes of tea

Step-by-step explanation:

27 (overall tea boxes) - 12 (boxes sold) = 15

15 (leftover boxes) x 18 (kg of each box) = 270

270 (overall kg of the boxes) divided by 9 (kg of the bags) = 30, so all the tea boxes can be placed into the bags

the probability of getting less than 3 in a single throw of a dice is​

Answers

Answer:

There are two numbers {1,2} which is less than 3. so, required probability P(E) = 2/6 = 1/3.

Step-by-step explanation:

hope this helps

For questions 1 – 6, find the area of the circle to the nearest hundredth.
Any help appriciated!

Answers

Step-by-step explanation:

The area of a circle is given by :

A = πr²

r is the radius of the circle

(4) Diameter = 22 cm

Since, radius = diameter/2

r = 11 cm

Now, area of the circle,

[tex]A=\pi \times (11)^2\\\\A=380.13\ cm^2[/tex]

(5) Diameter = 30 cm

Since, radius = diameter/2

r = 15 cm

Now, area of the circle,

[tex]A=\pi \times (15)^2\\\\A=706.85\ cm^2[/tex]

(6) Diameter = 4cm

Since, radius = diameter/2

r = 2 cm

Now, area of the circle,

[tex]A=\pi \times (2)^2\\\\A=12.56\ cm^2[/tex]

So, the area of circles 4,5 and 6 are 380.13², 706.85² and 12.56² respectively.

Please help me asap this is due in 10 min Ill also mark brainliest

Answers

As we know that formula of area of circle is πr²

So let's apply formula

π×8.6×8.6

=232.2

=200 is the nearest hundredth.

You have to do rest of all through this method.

1) 232.35 2) 52.81 3) 373.25

Geometry question plz help

Answers

Answer:

I think A

Step-by-step explanation:

Which data sets have outliers? Check all that apply
14,21,24,25,27,32,35
15,30,35,41,44,50,78
16,32,38,39,41,42,58
17,23,28,31,39,45,75
18,30,34,38,43,45,68

Answers

Answer:

C.16, 32, 38, 39, 41, 42, 58

and

E.18, 30, 34, 38, 43, 45, 68

its C. & E.

they both have outliers lol

Write the slope intercept form of the equation of the line through the given points

Answers

Answer:

9) y = -3x - 4

10) y = -1/3x + 14/3

11) y = x - 1

12) y = -7/5x - 18/5

13) y = 3/5x + 9/5

14) y = -2x - 3

Step-by-step explanation:

For this explanation, let's use the last problem as the example. You would use the formula y=mx+b. The first thing you would need to find would be the slope, or m. So, you would find the slope and conclude the answer is -2. After that, you would solve for b and get the answer. Hope this helped!

If each of the numbers in the following data set were multiplied by 17, what
would be the median of the data set?
28, 58, 20, 14, 18, 71, 36
A. 986
B. 1207
C. 476
D. 612

Answers

Answer:

B

Step-by-step explanation:

4. A rectangle has a diagonal of 8 cm. The diagonal creates a 60° angle at the base of the rectangle.
[2]
a. Draw a picture of the rectangle
[4]
b. Write an EXACT expression for the base and the height of the rectangle.
[2]
C. Use your expressions to find the EXACT area of the rectangle.

Answers

9514 1404 393

Answer:

  a) see attachment

  b) base: 4, height: 4√3

  c) area: 16√3

Step-by-step explanation:

a) The figure is drawn in the attachment

__

b) The side lengths of a 30-60-90 right triangle have the ratio ...

  1 : √3 : 2

Multiplying these by 4 gives the side lengths of each triangle created by the diagonal. The base (short leg) is 4 units; the height (long leg) is 4√3 units.

__

c) The area is the product of base and height:

  A = bh

  A = 4(4√3) = 16√3 . . . . square units

Solve for “z.”

Please help!

Answers

Answer: Z=5

Step-by-step explanation:

Solve the rational equation by combining expression and isolating the variable z

Andre purchased 1 quart of lemonade
from a concession stand for $1.50.
Which shows the rate for 6 quarts of
lemonade?

Answers

Answer:

7

Step-by-step explanation:

30 POINTS WOWWWWWW plz answer :)

Answers

Answer:                                                                                                                                      

Step-by-step explanation:

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