A quality control inspector has drawn a sample of 11 light bulbs from a recent production lot. Suppose 20% of the bulbs in the lot are defective. What is the probability that less than 7, but more than 4 bulbs from the sample are defective

Answers

Answer 1

Answer:

0.04845

Step-by-step explanation:

Probability that less than 7 but more than 4 bulbs from the sample are defective :

P(4 < X < 7) = P(x = 5) + P(x = 6)

Using the binomial probability formula :

P(x =x) = nCx * p^x * (1 - p)^(n - x)

From the question :

p = 0.2 ; 1 - p = 0.8 ; n = 11

P(x =5) = 11C5 * 0.2^5 * 0.8^6 = 0.03876

P(x = 6) = 11C6 * 0.2^6 * 0.8^5 = 0.00969

P(4 < X < 7) = P(x = 5) + P(x = 6)

P(4 < X < 7) = 0.03876 + 0.00969

P(4 < X < 7) = 0.04845


Related Questions

How to make a triangle and 2 trapezoids out of a triangle

Answers

Answer:

Draw two lines inside the triangle.

Step-by-step explanation:

Like in the Attachment

What is the area of this figure? I give brainliest! :)

Answers

Answer:

276yd^2

Step-by-step explanation:

14*12 + 9*12 = 168+108 = 276

Answer:

It’s 276 yd square

Step-by-step explanation:

you would have to split the shape into two different shapes.

9x12=108

12x14=168

then you would add both areas to get 276 which is the total area for this shape.

A dictionary contains the following 8 words: to, many, joyous, birthday, wishes, happy, you, cake. What is the probability
of randomly generating the phrase happy birthday to you?

Answers

Answer:

not completely accurate but about 40%

Step-by-step explanation:

Answer:

40%

Step-by-step explanation:

since there are 8 words, do 8x5 which would be 40%

hope this helps!

please give me brainliest :)

Find the value of x in the diagram

Answers

Answer:

x = 21

Step-by-step explanation:

Inscribed angle = (3x - 3)°

Intercepted arc measure = 120°

Thus:

(3x - 3)° = ½(120°) => an inscribed angle of any circle = ½ the measure of its intercepted arc.

Multiply both sides by 2

2(3x - 3) = 120

6x - 6 = 120

6x - 6 + 6 = 120 + 6

6x = 126

6x/6 = 126/6

x = 21

The store where Ted works is having a sale on wooden spoons and spatulas. When his shift started, there were twice as many spatulas as spoons. During his shift, the store sold 32 spatulas and 13 spoons. At the end of Ted's shift, the store had the same number of each item.
How many spoons did the store have at the beginning of Ted's shift?

Answers

The number of spoons at the beginning of Ted's shift is represented by the Variable "S."  There were 19 Spoons at the beginning of Ted's shift.

Let's assume that the number of spoons at the beginning of Ted's shift is represented by the variable "s," and the number of spatulas is represented by the variable "p."

According to the given information, when Ted's shift started, there were twice as many spatulas as spoons. Mathematically, this can be represented as:

p = 2s

During Ted's shift, the store sold 32 spatulas and 13 spoons. This means that the updated number of spatulas and spoons can be expressed as:

p - 32 (number of spatulas after sales)

s - 13 (number of spoons after sales)

At the end of Ted's shift, the store had the same number of each item. This implies that the number of spatulas and spoons was equal:

p - 32 = s - 13

Substituting p = 2s from the first equation, we can solve for s:

2s - 32 = s - 13

s = 32 - 13

s = 19

The store had 19 spoons at the beginning of Ted's shift.

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Patrick has an art supplies box with colored pencils and markers. The ratio of colored pencils to markers is 7:4. If Patrick has 63 colored pencils in the box, how many markers does he have.

Answers

7•x=63 x=9 4•x=4•9= 36 so he has 36 markers i believe

What is the slope for a line that is perpendicular to the line y = 4x + 8?​

Answers

Answer:

m2 =1/4

Step-by-step explanation:

m1 . m2 = 1

m1 is given 4 then

4.m2 =1

4.m2/4 =1/4

m2 = 1/4

Hello there!

The slopes of perpendicular lines are opposite reciprocals.

So, if one line has a slope of 4, then the slope of the line perpendicular to it is the opposite of 4 flopped over (-1/4)

And we're done! Hope it helps you!

If you have any questions, feel free to ask!

~An excited gal

[tex]MagicalNature[/tex] here to help

PLEASE HELP !!!! ILL GIVE BRAINLIEST !!!

Answers

Answer:

1) congruent

2) corresponding angles

3) 3x+21 = 6x-60

4) x =9

Step-by-step explanation:

1) congruent becuase supplementary means that these 2 angles add up to make 180 degrees.

2) the file below

3) we know they are equal because the congruent correspoding angles.

4) 3x+21 = 6x-60

=> 21 = 9x-60

=> 81 = 9x

=> 9 = x

what is the sum of 9/10 and 1/10

Answers

Answer:

1

Step-by-step explanation:

9/10+1/10=(9+1)/10=10/10=1

Answer:

1

Step-by-step explanation:

you can add the two fractions since they have a common denominator. 9/10 + 1/10 = 10/10

any number divided by itself is equal to 1

The mean of ten numbers is 13. What eleventh number, if included with the original numbers, would result in a mean of 12?

Answers

Answer:

2

Step-by-step explanation:

To find the mean, you divide the number you get from adding all the numbers by the number of numbers. In this case, we know the mean and the number of numbers but don't know the number you get from adding all the numbers. So, we have to do the reverse operation meaning we have to multiply 13 and 10 together which would equal 130.

Now, we do the same thing with 11 and 12, we multiply! 11 x 12 = 132.

130 + 2 = 132, meaning the answer is 2.

You're welcome!

The eleventh number, if included with the original numbers, would result in a mean of 12 is; x = 2

Formula for mean is;

Mean = Sum of numbers/sample size

We are given;

Mean = 13

Sample size = 10

Thus, sum of numbers = 13 × 10 = 130

Now, we want to add an eleventh number so that the mean will be 12.

Thus, n = 11

12 = (130 + x)/11

Cross multiply to get;

12 * 11 = 130 + x

x = 132 - 130

x = 2

Thus, the eleventh number, if included with the original numbers, would result in a mean of 12 is; x = 2

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1. What is your daily income if you earn $10.75/h as a camp counsellor and you work
10 hours per day?

Answers

$10.75 an hour * 10 hours per day = $107.5
Your daily income is $107.5.

The mean number of covid 19cases is 26.68347575 Adoctor in german stated that the missing value A in the table is less than 8 million . verify . showing all calculations whether the doctor's statement is valid​

Answers

The hormone that results in diabetes mellitus when it is deficient is insulin.The organ that secretes insulin is the pancreas.

1. The hormone that results in diabetes mellitus when it is deficient is insulin.

2. The organ that secretes insulin is the pancreas.

3. Two other hormones that influence the glucose level of the blood are:

1. Glucagon: It is produced by the alpha cells of the pancreas and increases blood glucose levels by promoting the breakdown of glycogen in the liver.

2. Cortisol: It is produced by the adrenal glands and helps regulate glucose metabolism by promoting gluconeogenesis (conversion of proteins and fats into glucose) and reducing glucose uptake by peripheral tissues.

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cker
Examine the following equation.
2x² – 5x – 7 = 0
Which expression can be used to find the solutions to the equation?
0 5+787
4
-5+781
4
0 -53731
4
5:31
4

Answers

The expression which can be used to find the solutions of the given equation is option (a) [5 ± √81] / 4.

What are Quadratic Equations?

Quadratic equations are polynomial equations of second degree.

The general form of a quadratic equation is ax² + b x + c = 0.

The given quadratic equation is,

2x² - 5x - 7 = 0

The solutions of a quadratic equation can be found using the quadratic formula.

Quadratic formula for ax² + b x + c = 0 is,

x = [-b ± [tex]\sqrt{b^2-4ac}[/tex] ] / 2a, where [tex]\sqrt{b^2-4ac}[/tex] is called discriminant.

From the given equation,

a = 2, b = -5 and c = -7.

Solution can be found as,

x = -(-5) ± [tex]\sqrt{(-5)^2-(4*2*-7)}[/tex] ] / (2 × 2)

  = [5 ± √(25 + 56) ] / 4

  = [5 ± √81] / 4

Hence the solution can be found as [5 ± √81] / 4.

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One shape is approaching a poor from the east traveling west at 15 mph and its presently 3 miles east east of the port I second ship is already left the poor traveling to the north at 10 mph and is presently 4 miles north of the port at this instant what is the rate of change of distance between the two ships are they going to close your more for their apart

Answers

Answer:

DL/dt = 17 mph

Step-by-step explanation:

The ships and the port shape a right triangle

Ship  going west ( x-direction)   is traveling at 15 mph

Ship going north  (y-direction) is traveling at 10 mph

The distance L between ships is:

L²  = x² + y²

Tacking derivatives on both sides of the equation with respect to time

we get

2*L*DL/dt = 2*x*Dx/dt  + 2*y*Dy/dt    (1)

In that equation we know:

Dx/dt  = 15 mph

Dy/dt  = 10 mph

At the moment  ship traveling from the east is at 3 miles from the port

then x = 3 m  and the other ship is at 4 miles north

then by Pythagoras theorem

L = √ 3² + 4²    L = 5

By substitution in equation 1

2*5*DL/dt  = 2*3*15 + 2*4*10

10* DL/dt  =  90  +  80

DL/dt = 170 / 10

DL/dt = 17 mph

URGENT WILL GIVE YOU BRAINLIEST!!!

Answers

Answer:

#3

Step-by-step explanation:

40 POINTS !! 40 POINTS !!

PLEASE HELP , DONT SKIP !

NO LINKS OR FILES.

Answers

UV=(-9–(-2)),(-3–(-6))
UV=(-9+2),(-3+6)
UV=(-7,3)
I think you find the change in the x and y components. I’m not really sure

Answer:

Step-by-step explanation:

UV=(-9–(-2)),(-3–(-6))

UV=(-9+2),(-3+6)

UV=(-7,3)

I think you find the change in the x and y components.

C(4,4)
D(-8,0
B(6, -2)
A(-6, -6)

Answers

Answer:

I don't know how to do it the subject

Brainliest for correct answer, any inapplicable answer or absurd answer will be deleted and reported.

Answers

Answer:

60 degrees (first option)

Step-by-step explanation:

as a triangle adds up to 180 degrees and it has 3 sides so you divide 180 by 3 and you get 60 degrees which goes for each corner.

if you want to check just times 60 by 3 and you get 180

giving brainliest!!
pls answer correctly

Answers

Answer:

DISCLAIMER:I'M NOT REALLY GOOD AT MATH

Surface area=¶r squared.

¶=3.14

Radius=D/2

=10/2

5

therefore,3.14×5×5

=78.5

what's the sum of 1,015 and 119​

Answers

1134 is the correct answer to that math problem

The drawing below shows the dimensions of Kim’s kite.

What is the are of Kim’s
kite?
F 32 square inches
G 48 square inches
H 96 square inches
J 120Square inches

Answers

I believe it is choice G.

it's that one

Step-by-step explanation:

okayyy so uhh

If a complete graph represents the road network in a country, it would be advantageous for that country in the even that an infectious disease hits one of the towns on the road network. Yes, it would be advantageous No, it would not be advantageous​

Answers

Answer:

everyone

Step-by-step explanation:

Help me please with my IXL GEOMETRY

Answers

Answer:

7.5

Step-by-step explanation:

hey hope this helps and is right

The area of a rectangle is 18w+18 square feet. The length of the rectangle is 2 feet. Use factoring to write an expression to represent the width of the rectangle

Answers

Answer:

9w+9

Step-by-step explanation:

width = (18w+18)/2

18(w+1)/2

9(w+1) = 9w+9

Find the area between y=-x and y=x at [0,3]

Answers

Answer:

don't listen to the other person

Step-by-step explanation:

The dot plot represents the number of apples picked by a family. Explain how the outlier of the data affects the statistical summary of the data.

Select the answers from the drop-down menus to complete the statements.

The mean apples picked
Choose...
because of the outlier.

The median apples picked
Choose...
because of the outlier.

The range
Choose...
because of the outlier.

Answers

Answer:

The dot plot represents the number of apples picked by a family. Explain how the outlier of the data affects the statistical summary of the data.

Select the answers from the drop-down menus to complete the statements.

The mean apples picked decreases because of the outlier.

The median apples picked decreases because of the outlier.

The range increases because of the outlier.

Step-by-step explanation:

The mean apples picked decreases because of the outlier.

The median apples picked decreases because of the outlier.

The range increases because of the outlier.

What is Dot plot?

A dot plot, also called a dot chart, is a sort of simple histogram-like chart used in statistics for very small data sets where values fit into a number of discrete bins. To create a dot plot, count the number of data points in each bin and draw a stack of dots with that number of dots on top for each bin.

The number of apples gathered by a household is represented by the dot plot. Describe how the data outlier influences the statistical summary of the data.

To finish the statements, choose the appropriate answers from the drop-down menus.

Because of the outlier, the average number of apples picked lowers.

Because of the outlier, the median number of apples chosen falls.

Because of the outlier, the range expands.

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The function f is defined by f(x) = 57. What is the value of f(3)?
O 15
O 25
O 53
O 125

Answers

Answer:

53

Step-by-step explanation:

Because

Marina is drawing a plan for a new garden. The rectangle plotted in the coordinate plane represents the garden, measured in feet. How much soil will she need to cover the garden? 10 ft2 12 ft2 20 ft2 24 ft2

Answers

Answer:

Step-by-step explanation:

You need to upload a picture and i can answer underneath.  

Usually if measured in feet then we have a scale = 1cm -1ft maybe.

so if you measure 3cm x 4cm then we have 12cm area = 12ft area if.  Or if you have 2cm x 5cm = 10cm area = 10ft area   if you have 4cm x 5cm = 20cm = 20ft area

etc. etc.  Just make sure you say cm then ft in scale conversion.

Find the value of each variable

Answers

Answer:

(x - 2)² + y² = 9

Step-by-step explanation:

Please I need help. The Median of a data set is 100. Which statement about the data set must be true?

A. The data set has an average of 100

B. Half the data values are greater than 100.

C. The minimum value is 80 and the maximum value is 120

D. Only one of the data points in the data set has a value of 100

Answers

Answer:The mean, or average, has the property that distances from the mean to the individual ... The measure of center where half the values of the data set lie above this ... The maximum value of a data set is 200 and the minimum value is 80. ... 25 b. 24 c. 100 d. 5 e. 120. e. 120. A factorial is the product of all number from 1 to n.

Step-by-step explanation:

Answer:

B. Half the data values are greater than 100.

Step-by-step explanation:

The median is just another way to say the number in the middle.  So if in the whole group of numbers 100 is in the middle, that means that half of the numbers will be bigger than 100, and half of the numbers will be smaller than 100.

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