A biotechnology company produced 225 doses of somatropin, including 11 which were defective. Quality control test 15 samples at random, and rejects the batch if any of the random samples are found defective. What is the probability that the batch gets rejected?

Answers

Answer 1
Final answer:

The problem is a hypergeometric distribution scenario, where we calculate the probability of a batch being rejected based on the presence of defective items in a random sample.

Explanation:

The question is about calculating the probability that a batch of somatropin doses gets rejected based on a quality control sampling test. To find this probability, we need to consider the number of defective samples in the batch and the number of samples taken for the test. Given that there are 11 defective doses out of 225, we can calculate the probability that none of the 15 randomly chosen samples are defective (which means the batch is accepted) and subtract this probability from 1 to get the probability of the batch being rejected (due to finding at least one defective sample in the test).

Since this is an application of hypergeometric distribution, the exact calculation requires combinatorial analysis, which would provide the probability of picking 0 defective doses in a sample of 15 from a lot of 225 doses which includes 11 defects.


Related Questions

1. Consider the steady flow in a water pipe joint shown in the diagram. The areas are:
A1=0.2 m², A2=0.2 m², and Az=0.15 m². In addition, Fluid is lost out of a hole at
section 4, estimated at a rate of 0.1m/s. The average speed at section 1 and 3 are
Vi=5m/s and V3=12m/s, respectively. Find the velocity at section 2. ​

Answers

Answer:

-4.5 m/s

Explanation:

Assuming steady and incompressible flow and uniform properties at each section

[tex]V_1A_1+V_2A_2+A_3V_3+Q_4=0[/tex]

Here V is velocity of flow and A is area, Q is flow rate out of the leak, subscript 1-4 represent different sections

At the surface,  is negative hence the equation above will be

[tex]-V_1A_1+V_2A_2+A_3V_3+Q_4=0[/tex]

Making  the subject of the formula then

[tex]V_2=\frac {V_1A_1-A_3V_3-Q_4}{A_2}[/tex]

Substituting the given values then

[tex]V_2=\frac {(5\times 0.2)-(12\times 0.15)-0.1}{0.2}=-4.5 m/s\\V_2=-4.5m/s[/tex]

A sum of $500,000 will be invested by a firm two years from now. If money is worth 12%, what will be the worth of this investment 10 years from now?

Answers

Answer:

investment 10 years from now is $1,238,000 .

Explanation:

given data

sum = $500,000

rate = 12% =0.12

total time = 10 year

solution

as present value After 2 years from now is $500,000

so time period is now = 8 year  ( 10 - 2 )

so we apply future value formula that is

Future value  = present value × [tex](1+r)^{t}[/tex]   ............1

put here value we get

Future value  = $500,000 × [tex](1+0.12)^{8}[/tex]  

Future value  = $500,000 × 2.476

Future value  = $1,238,000  

so investment 10 years from now is $1,238,000 .

When your car is broken down on the side of the road, you should make your vehicle as _____ as possible. A. visible B. comfortable C. cooled D. loud

Answers

Answer:

A

Explanation:

If you're car brokebroke down and you may want people to see it so you can get help right away in case you are hurt.

The car broken down on the road, must be made more and more visible. Thus, option A is correct.

What is the importance of driver consciousness in broken car case?

The driver is responsible for his actions on the road, and thereby was found with the awareness to the traffic safety. In case the car is broken and not made visible, it may lead to the number of road accidents.

Thus, the car must be made visible on the side of the road in case it is broken down to avoid the accidents and raise help. Thus, option A is correct.

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1.) Explain the job description of a Civil Engineer...

Answers

Answer:

They create, improve, and protect the environment that us humans live in. They oversee the way something's may look like construction for example, they plan and then design. This can do with any type of new construction for anything. Basically, they try to help design things that can improve and protect our world and daily living.

7. Determine the resistance of a lamp that draws 3 amperes when connected to a
120volt supply.

Answers

Answer: 40 Ω

Explanation:

R =V/I

R= 120/3

R= 40

The resistance of a lamp that draws 3 amperes when connected to a 120volt supply is 40 ohms.

What is Ohm's Law?

Ohm's law states that if all physical conditions and temperatures are constant, the voltage across a conductor is precisely proportional to the current flowing through it.

Given the following details,

Current to the lamp = 3 amperesVoltage supplied = 120 V

Now, Using Ohm's law we can write,

Voltage = Current × Resistance

V = IR

R = V / I

R = 120 V / 3 ampere

R = 40 ohms

Hence, the resistance of a lamp that draws 3 amperes when connected to a 120volt supply is 40 ohms.

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List four things that should be done during a thorough inspection of the brake fluid.

Answers

Checking for proper level, checking for color and condition, testing for absorbed moisture, and testing for contamination

What happens to material that is eroded by water flowing through a watershed?

A. It creates a flood.

B. It is carried upstream.

C. It is carried downstream.

D. It creates new wetland areas

Answers

D
it creates new wetland areas

Introduce the systems found on an electric car, and on an internal combustion engine car.

Answers

The systems found on Electric car are- battery pack, Electric motors, Differentials etc.

The systems found on internal combustion vvehicles include- Engine, Flywheel, Propeller shaft, Governor, Pistons and Crankshaft among several other components.

Explanation:

Electrical cars are associated with an electric motor, battery pack and other car accessories. Their propulsive power sets them apart from conventional vehicles. They are driven by a battery pack which is rechargeable and in turn drives the electric motors connected to each of the wheels.  

These cars are also conspicuous with the absence of a propeller shaft which provides the power to conventional gasoline vehicles. Instead of the shaft, individual motors present side by the wheels drive them. Depending on the car’s drive ratio (either 2*4 or 4*4), the electric motors present them with sufficient power. Other equipment such as differentials, steering and control unit remains more or less same.

Internal Combustion car- They are the class of conventional vehicles powered by the burning of gasoline in the sealed engine of the car. They are either petrol, diesel variant or gas-powered. The working can be explained as follows-

Gasoline fuel with high calorific value burns in a controlled environment to produce gas which drives the piston which is in turn connected to the crankshaft. The crankshaft is responsible for turning the vertical motion of the piston to the rotatory motion of a ball lever.

Several mechanical components such as spark plugs, differentials, flywheel, governors etc make up for the controlled environment in which the fuel is allowed to burn.

During world war 1 what process replaced riveting for ship repair

Answers

Final answer:

During World War I, riveting remained the primary method for ship construction and repair, with no clear indication that it was replaced during the conflict. Advances post-war led to welding becoming the preferred technique due to its stronger joints and efficiencies.

Explanation:

During World War I, the process that began to replace riveting for ship repair was not explicitly mentioned in the provided text, indicating that riveting remained a significant method of construction and repair during this period. However, industrial and technological advancements during and following World War I led to the development and adoption of welding techniques which eventually became more prominent in shipbuilding and repair. Welding offered advantages over riveting, such as stronger joints and a reduction in labor and materials. Nevertheless, during World War I itself, the text highlights the intensive use of riveting, with contests to speed up production and techniques to ensure parts made in different locations could be assembled efficiently on site.

The contribution of riveting to shipbuilding during World War I is underscored by the record set by John Omir and the detailed planning required to assemble ships like the SS Agawam, with parts prefabricated and riveted in various locations before assembly. This period marked a significant effort to boost production in the face of enemy threats, laying the groundwork for future shifts towards welding in ship construction and repair.

Just getting to your class is enough for showing up.
A) True
B) False

Answers

False you have to do the work and perricapate

Answer:

A

Explanation:

If you are having a hard day, that could be all that you are capable of

1)Why is a change in polarity useful in welding?
2)explain the function of Ae7013 welding rod.
3)list and explain 4 factors you need to observe while stick welding to make a good “consistent” bead.

Someone help please ASAP

Answers

Answer 1:

Choosing the right polarity probably affects the quality and strength of the weld. This is why the changes in the polarity is useful in welding.

Answer 2:

There are different sizes of welding rods available in the market. the majorly used sizes are namely 6010, 6011, 6012, 6013, 7014, 7024 and 7018. The 7013 rod is used for welding low and mild alloy steel.

Answer 3:

The 4 major factors involved in stick welding to make good “consistent” bead are as follows,

Current setting - Determining whether DC positive, DC negative, or AC should be set up in the machine chosen.Length of arc - Do not let the arc stutter. The exact lenth differs with the application and electrode.Speed of travel - The speed should help in maintaining the arc in leading 1/3 of the weld pool.Manipulation of electrode  - Practice, observe and develop the technique that would result the best.

A sailboat is operating under sail at night. Which of these lights should be used?

orange masthead light

blue sternlight

yellow masthead light

white sternlight

Answers

Answer:

White Stern light

Explanation:

According to boating regulations, navigation lights must be used for safety purposes when operating water vessels especially during the night.

The boating regulations for operating sailboats, specify that a white stern light must be used during hours from sunset to sun rise. This is to indicate the presence of the sea craft on the ocean, as well as its direction.

A stern light is a white light placed as closely as practical at the stern shining constantly. It covers an angle of 135 degrees, and helps show the direction of the boat.

The lights should be used is white sternlight.

What lights should be used in a sailboat at night?

A sailboat is operating under sail at night is known to be one where the operator of that sailboat is said to be operating under sails at darkness and so their sidelights should be (red - green) and stern light (white).

When they are said  to be less than 20 meters in length, the three lights can be use altogether  at or near the top of the mast.

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The four applicants for a $40,000 loan are Robin Smith, Amari Jones,
Jamie Ford and Blake Felder.
Who is the youngest loan applicant?
O Jamie Ford
Robin Smith
Amari Jones
Blake Felder

Answers

Answer:

Clearly its Robin smith

What is a power machine’s “throw”
A. The direct line from a tool.
B. The machine’s horsepower.
C. The speed of the machine’s moving parts.
D. The material the machine operates on.

Answers

It's A, B or D one of those

Can you tell me important facts about Peggy A. Whitson?

Answers

Answer:

Peggy Annette Whitson was born February 9, 1960, Mount Ayr, Iowa, U.S.

She was the first female commander of the International Space Station.

She holds the record among American astronauts and among women for spending the most time in space, nearly 666 days.

She received a B.S. in biology and chemistry from Iowa Wesleyan College in Mount Pleasant, Iowa, in 1981 and a doctorate in biochemistry from Rice University in Houston in 1985.

She flew into space for the first time on June 5, 2002, as a flight engineer on Expedition 5 to the ISS, aboard the space shuttle Endeavour on mission STS-111.

She, from 2009 to 2012, Whitson was chief of the Astronaut Office, which oversees all NASA astronaut activities, including crew selection and training.

She was the first woman and the first civilian to hold that position.

She was sent into space 3 times.

Her total of 10 career spacewalks and their combined duration of 60 hours 21 minutes were records for a female astronaut.

She retired from NASA in 2018.

What is the general term for a substance that is harmful to life and may cause death?
innocuous
toxic
benign
hypoallergenic

Answers

toxic is the answer, toxic meaning may cause death or other health problems.
Anything that’s ((toxic)) may cause death

2. Why are some constraints automatically applied by the software, but you must manually apply others?

Answers

Answer:

It is because constraints applied automatic by the software (CAD) are supposed to control relationships and geometry between lines, arcs and circles while those manually added are supposed to control the geometry to behave in the manner the user likes the sketch to appear when drawing.

Explanation:

CAD software enables creating sketches using the program by automatic allowing geometric constraints to perform the tasks.Geometry in lines, circles, and other geometric features show collaborating relation that facilitate sketching in the program.For example, two end points appear to make lines remain perpendicular.Other geometric constraints are parallel, and equal.However, the user can manually apply geometric constraints to a sketch to force the geometry in a manner that is suitable to the sketch drawn.That is why a user must manually apply others.

Find the amount of energy (Q) required to raise the temperature of the water in kilo joules (KJ).
Given mass of water m = 2kg = 2000g.
Temperature difference ΔΤ = T2 – T1 = 60 °C – 25 °C = 35 °C .
Specific heat of water = 4.18 J/g* °C .
Therefore, Q =
kilo joules.

Answers

Amount of energy required = 292.6 kJ

Explanation:

Amount of energy required is given by the equation ,

Q = m × C ×ΔT

where m is the mass of the water = 2000 g

C is the specific heat of water = 4.18 J/g°C

ΔT = Temperature difference = 60 - 25 = 35 °C

Applying these values in the above equation, we will get,

Q = 2000 g × 4.18 J/g°C × 35°C

  = 292600 J

When joule is divided by 1000 we will get the amount of energy in kJ.

[tex]$ Q = \frac{292600}{1000} = 292.6 kJ[/tex]

So the energy required to raise the temperature of the water is 292.6 kJ.

Practicing new things strains your brain fibers, weakening your ability to make connections.
A) True
B) False

Answers

Answer:

B

Explanation:

Practicing new things only makes your brain stronger

Find the probability that at most five defective fuses will be found in a box of 200 fuses in experience shows that 2% of such fuses are defective

Answers

The answer is b. I have attached a photo of the explanation.

Is there a way to get the answers to a NCCER book test?

Answers

Answer:

go on google and type NCEER book answers

No, there is no legitimate way to obtain the answers to an NCCER book test.

Is it possible to access answers for an NCCER book test?

Attempting to acquire the answers to an NCCER book test through unauthorized means is unethical and against the rules set by the National Center for Construction Education and Research (NCCER).

The purpose of these tests is to assess the knowledge and competency of individuals in their respective trades. Obtaining the answers without studying and understanding the material undermines the integrity of the assessment process and does not contribute to genuine learning or skill development.

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how has drafting evolved in the 21st century

Answers

Drafting has been around a long time. We can safely assume that since we’ve had a tool in our hands, we’ve been describing plans and technical representations and doodling ideas. Let’s take a closer aspect at drafting and its advance from an under-the-radar part of the method to a very developed skill set.

Explanation

•  1970s – The beginning computer-aided design systems were included in the industry. Following the design engineers tried the learning curve of using CAD, their performance and productivity went through the roof. Over time, CAD software became affordable and more user-friendly, and its fame grew.

  1990s – CAD software was expanded further to include 3-D characteristics, and quickly the technical designs of the past enhanced increasingly simulated and accessible to engineer.

•   Present – The development of drafting has brought us to the present day, were using 3-D representations is the standard and the aim to generate full virtual prototypes.

A city engineer knows that she will need $25 million in 3 years to replace toll booths on a toll road in the city. Traffic on the road is estimated to be 20 million vehicles per year. How much per vehicle should the toll be to cover the cost of the toll booth replacement project? Interest is 10%.

Answers

Answer:

$1.38

Explanation:

She will spend $25 million in 3 years at 10% interest is a case of Future Value of Annuity.

Therefore,

FV = A*((1+r)^n-1)/r

Where A = 25,000,000

r=10%=0.1

n=3

FV= 25000000*((1+0.1)^3-1)/0.1

FV=25000000*(1.331-1)/0.1

FV=25000000*(0.331/0.1)

FV=25000000*3.31

FV=$82,750,000

So it is estimated that 20million cars passes through the toll per year

Therefore,

Toll per vehicle per year = 82750000/2000000

=$4.14

Toll for the duration of the project

=4.14/3 =$1.38

An ice hockey player is skating on an ice rink. The rink has a coefficient of kinetic friction of roughly 0.1. If the normal force on the hockey player is 800. N, what is the frictional force acting on the hockey player?

Answers

Answer:

The frictional force acting on the Hockey player = 80 N.

Explanation:

Given,

coefficient of kinetic friction = 0.1

Normal force on the hockey player = 800 N.

Frictional force acting on the hockey player = ?

Frictional force acting on the hockey player ca be calculated using the formula,

Frictional force = coefficient of kinetic friction x Normal force

substituting the values,

Frictional force = 0.1 x 800 = 80 Newtons.

Therefore, Frictional force acting on the Hockey player = 80 N.

1. How many pieces of 12-1/2" long wood can be cut from a piece of
wood that is 39-3/4" long? *
o A. 2
o B.3
o C.6
OD.7​

Answers

B. If you do 39-3/4 divided by 12-1/2 you get 3.18
The answer is B. It’s 3

7. A single-pole GFCI breaker is rated at
a. 120VAC
b. 240VAC
c. 120/240VAC
d. 240/480VAC

Answers

The answer to this question is C
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