It is known that 10% of the items produced by a certain machine end up having a flaw. If we select 7 items from the production line, a) What is the probability that at least one of them has a flaw? Part b) What is the probability that exactly three of them has a flaw?

Answers

Answer 1

Step-by-step explanation:

p = 0.1, q = 0.9, n = 7

a) Use complementary probability.

P(at least 1) = 1 − P(0)

P(at least 1) = 1 − (0.9)⁷

P(at least 1) = 0.522

b) Use binomial probability.

P = nCr pʳ qⁿ⁻ʳ

P(3) = ₇C₃ (0.1)³ (0.9)⁴

P(3) = 0.023


Related Questions

The mean absolute deviation of Mr. Zimmerman's class is 0.46. What does this mean?​

Answers

Answer:

is a measure of the average absolute distance between each data value and the mean of a data set.

can you help me solve this
solve y-4=3
y=​

Answers

Answer:

y= 7

Step-by-step explanation:

4+3= y

4+3= 7

Hope this helps.

Answer:

y=7

Step-by-step explanation:

y-4=3

+4  +4

  y= 7

you need to add 4 to each side of the equation.

Which value is equal to 1/2 ?Select all that apply.
Please help fast fast !! Will give brainliest

Which value is equal to 1/2 ?Select all that apply.Please help fast fast !! Will give brainliest

Answers

the first is the correct answer, sin 30

Answer:

The Answer to your problem is A i'm pretty sure mark me brainliest plss and a thanks heart !!

HELP ASAP!! (NO LINKS) WILL GIVE BRAINLIEST

The numbers of inches of rainfall received in eleven cities during April are 10, 12, 18, 12,
14, 19, 20, 9, 15, 17, and 11. identify the box-and-whisker plot for this data.

HELP ASAP!! (NO LINKS) WILL GIVE BRAINLIEST The numbers of inches of rainfall received in eleven cities

Answers

Answer:

B

Step-by-step explanation:

Median value = 14    ( the number in the middle of the ascending-order list)

2 quartile   25% are below 11

3 quartile    25% are above 18

min 9       max = 20

Answer:

i think it's b

Step-by-step explanation:

In the figure, ∆ALM ≅ ∆BLM by Side-Angle-Side (SAS). Which angles are congruent by CPCTC?

In the figure, ALM BLM by Side-Angle-Side (SAS). Which angles are congruent by CPCTC?

Answers

Answer:

C. L LAM = L LBM

Step-by-step explanation:

__________

Could someone please help

Could someone please help

Answers

Answer:

a³ + 1

Step-by-step explanation:

Step 1: Factor out -3a

\(\frac{-3a(a^3+1)}{-3a}\)

Step 2: Remove -3a

a³ + 1

does anyone know the answer?​

does anyone know the answer?

Answers

Answer:

is it correct please tell

-2.666

The slope is -3
Please Mark BRAINLIEST!

Time went scuba diving and descended at a rate of 35 feet every 20 min. If Tim was diving from 11:00AM to 12:00PM. What was Tim's altitude at 11:40AM?

Answers

Answer:

70 feet

Step-by-step explanation:

35 x 2 = 70

what is the property of 3x(5x7)=(3x5)7

Answers

The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.

In the equation you provided: 3x(5x7) = (3x5)7

The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.

Which of these is an algebraic expression? A. 3-14 B. 14-3 C. 14-n=5 D. 14-n

Which of these is an algebraic expression? A. 3-14 B. 14-3 C. 14-n=5 D. 14-n

Answers

The answer is C because for algebraic expression you need a coefficient, variable and a constant

Please help. I am unsure.

Please help. I am unsure.

Answers

266.625 is the full answer but if you’re rounding to the nearest tenth then you are right but considering it is money you might want to go the hundredths:) hope this helps

help to search for JOIN in this alphabet soup please ​

help to search for JOIN in this alphabet soup please

Answers

Answer:

hopefully this helps :] 16th line down I think

help to search for JOIN in this alphabet soup please

PLEASE HELP!

I need help solving these problems.

PLEASE HELP! I need help solving these problems.

Answers

1. When we simplify sec² x + tan² xsec² x, the result obtained is sec⁴x

2. When we simplify (sec² x - 1) / sin² x, the result obtained is sec² x

3. When we simplify (1/sec² x) + (1/csc² x), the result obtained is 1

4. When we simplify (sec x / sin x) - (sin x / cos x), the result obtained is cot x

5. When we simplify (1 + sin x)(1 - sin x), the result obtained is cos² x

6.  When we simplify cos x + sin xtan x, the result obtained is sec x

How do i simplify the trig identities?

We can simplify the trig identities as follow:

1. Simplification of sec² x + tan² xsec² x

sec² x + tan² xsec² x = sec² x(1 + tan² x)

Recall

sec² x = 1 + tan² x

Thus,

sec² x(1 + tan² x) = sec² x × sec² x

sec² x(1 + tan² x) = sec⁴x

Therefore, the simplified is written as

sec² x + tan² xsec² x = sec⁴x

2. Simplification of (sec² x - 1) / sin² x

(sec² x - 1) / sin² x

Recall,

sec² x - 1 = tan² x

Thus,

(sec² x - 1) / sin² x = tan² x / sin² x

Recall

tan² x = sin² x / cos² x

Thus,

tan² x / sin² x = (sin² x / cos² x) / sin² x

tan² x / sin² x = 1/ cos² x

Recall

1/ cos² x = sec² x

Therefore, the simplified expression is written as:

(sec² x - 1) / sin² x = sec² x

3. Simplification of (1/sec² x) + (1/csc² x)

(1/sec² x) + (1/csc² x)

Recall

sec² x = 1/cos² x

Thus,

cos² x = 1/sec² x

Also,

csc² x = 1/sin² x

Thus,

sin² x = 1/csc² x

Therefore, we have

(1/sec² x) + (1/csc² x) = cos² x + sin² x

Recall

cos² x + sin² x = 1

Thus, the simplified expression of (1/sec² x) + (1/csc² x) is:

(1/sec² x) + (1/csc² x)  = 1

4. Simplification of (sec x / sin x) - (sin x / cos x)

(sec x / sin x) - (sin x / cos x) = (sec xcos x - sinx sinx) / sinx cos x

Recall

sec x = 1/cos x

sinx sinx = sin² x

Thus,

(sec x / sin x) - (sin x / cos x) = [(cos x/cos x) - sin² x] / sinx cos x

(sec x / sin x) - (sin x / cos x) = [1 - sin² x] / sinx cos x

Recall

1  - sin² x = cos² x

Thus, we have

[1 - sin² x] / sinx cos x = [cos² x] / sinx cos x

[1 - sin² x] / sinx cos x = cos x / sin x

Recall

cos x / sin x = cot x

Thus, the simplified expression of (sec x / sin x) - (sin x / cos x) is:

(sec x / sin x) - (sin x / cos x) = cot x

5. Simplification of (1 + sin x)(1 - sin x)

(1 + sin x)(1 - sin x)

Clear bracket

1 - sin x + sin x - sin² x

1 - sin² x

Recall

1 - sin² x = cos² x

Thus, we have

(1 + sin x)(1 - sin x) = cos² x

6. Simplification of cos x + sin xtan x

cos x + sin xtan x

Recall

tan x = sin x / cos x

cos x + sin xtan x = cos x + sin x (sin x / cos x)

cos x + sin xtan x = cos x + (sin² x / cos x)

cos x + sin xtan x = (cos² x + sin² x) / cos x

Recall

cos² x + sin² x = 1

cos x + sin xtan x = 1 / cos x

1/cos x = sec x

Thus,

cos x + sin xtan x = sec x

The simplified expression of cos x + sin xtan x is sec x

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To order a pizza, you must choose a type of crust, a type of sauce, and also a size. How could you determine the number of outcomes? Use the fundamental counting principle. Make a tree diagram. Find the product of 3 × 3 × 3. Find the product of 4 × 3 × 4. Find the product of 3 × 2 × 3.

Answers

Answer:

Step-by-step explanation:

So 3x3x3= 27

Then 4x3x4=48

After you do that do 3x2x3=18

then i think you add that all together so you get 93 and yeah i think thats the answer :D

Answer:

Make a tree diagram

Use the fundamental counting principle.

Find the product of 3 × 2 × 3.

Step-by-step explanation:

i dont know there just right

f(x) = -x -5, solve for x when f(x) = -6

Answers

Answer:

x = 1

Step-by-step explanation:

Which of the following is the most likely the next step in the series?

Which of the following is the most likely the next step in the series?

Answers

Answer: C is the correct answer!I don't feel like explaining. sorry.Please let me know if I am wrong.

A company rents out 18 food booths and 21 game booths at the county fair. The fee for a food booth is $150 plus $8 per day. The fee for a game booth is $65 plus $6 per day. The fair lasts for d days, and all the booths are rented for the entire time. Enter a simplified expression for the amount, in dollars, that the company is paid.

Answers

Answer:

the expression is 21+18d

Step-by-step explanation:

Answer:

The answer is t(2844 + 1491) or t(4335)

Step-by-step explanation:

18 x 150 = 2700

18 x 8 = 144

2700 + 144 = $2844

21 x 65 = 1365

21 x 6 = 126

126 + 1365 = 1491

t = ? <--- t stays the same

1491 + 2844 = 4335

t(4225)

find the value of x and the measure of angle axc

find the value of x and the measure of angle axc

Answers

Answer:

x = 4

m<AXC = 150

Step-by-step explanation:

m<1 + m<2 = m<AXC

102 + 10x + 8 = 6(6x + 1)

10x + 110 = 36x + 6

26x = 104

x = 4

m<AXC = 6(6x + 1)

m<AXC = 6(24 + 1)

m<AXC = 150

What are the reciprocal trigonometric functions?

Answers

The reciprocal cosine function is secant: sec(theta)=1/cos(theta). The reciprocal sine function is cosecant, csc(theta)=1/sin(theta). The reciprocal tan function is cotan

Cotx=1\tanx

Evaluate the expression, writing the result as a simplified complex number.

To earn full credit be sure to show all steps and calculations. You may wish to do the work on paper and submit an image of that written work.

\frac{(2+i)(4-2i)}{1+i}

Answers

The simplified expression involving complex numbers is given as follows:

5 + 5i.

What are complex numbers?

Complex numbers are number that have a real and an imaginary part, and are defined as follows:

z = a + bi.

In which:

a is the real part.b is the imaginary part.

The basic relation of complex numbers is given as follows:

i² = -1.

The fraction for this problem is given as follows:

(2 + i)(4 - 2i)/(1 + i).

The numerator is simplified as follows:

(2 + i)(4 - 2i) = 8 - 4i + 4i - 2i² = 8 + 2 = 10.

Hence the fraction is of:

10/(1 + i).

To remove the complex number from the denominator, the entire fraction is multiplied by the conjugate of the denominator, hence:

10/(1 + i) x (1 - i)/(1 - i) = 10(1 + i)/(1 - i²) = 10(i + 1)/2 = 5 + 5i.

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A teaching hospital in South-West Part of Nigeria receives on the average 5 pregnant women with high blood pressure per week. What is the probability that on a particular week, the teaching hospital will receive:
1.) No high BP pregnant woman

Answers

Answer:

The probability that on a particular week, the hospital will receive on high BP pregnant woman is 0.0068

Step-by-step explanation:

We use the Exponential distribution,

Since we are given that on average, 5 pregnant women with high blood pressure come per week,

So, average = m = 5

Now, on average, 5 people come every week, so,

5 women per week,

so, we get 1 woman per (1/5)th week,

Hence, the mean is m = 1/5 for a woman arriving

and λ = 1/m = 5 = λ

we have to find the probability that it takes higher than a week for a high BP pregnant woman to arrive, i.e,

P(X>1) i.e. the probability that it takes more than a week for a high BP pregnant woman to show up,

Now,

P(X>1) = 1 - P(X<1),

Now, the probability density function is,

\(f(x) = \lambda e^{-\lambda x}\)

And the cumulative distribution function (CDF) is,

\(CDF = 1 - e^{-\lambda x}\)

Now, CDF gives the probability of an event occuring within a given time,

so, for 1 week, we have x = 1, and λ = 5, which gives,

P(X<1) = CDF,

so,

\(P(X < 1)=CDF = 1 - e^{-\lambda x}\\P(X < 1)=1-e^{-5(1)}\\P(X < 1)=1-e^{-5}\\P(X < 1) = 1 - 6.738*10^{-3}\\P(X < 1) = 0.9932\\And,\\P(X > 1) = 1 - 0.9932\\P(X > 1) = 6.8*10^{-3}\\P(X > 1) = 0.0068\)

So, the probability that on a particular week, the hospital will receive on high BP pregnant woman is 0.0068

Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
A/60
B/45
C/105
The measurement of angle A is
The measurement of angle B is
The measurement of angle Cis

Answers

The second pair of points representing the solution set of the system of equations is (-6, 29).

To find the second pair of points representing the solution set of the system of equations, we need to substitute the x-coordinate of the second point into one of the equations and solve for y.

Given the system of equations:

y = x^2 - 2x - 19

y + 4x = 5

Substituting the x-coordinate of the second point (-6) into equation 2:

y + 4(-6) = 5

y - 24 = 5

y = 5 + 24

y = 29

Therefore, the second pair of points representing the solution set of the system of equations is (-6, 29).

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Question

Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.

y = x2 − 2x − 19

y + 4x = 5

The pair of points representing the solution set of this system of equations is (-6, 29) and

_________.

What the meaning of statement this?

What the meaning of statement this?

Answers

The statement is asserting that the universal class (V) is defined as the collection of all sets, where every set is included. It signifies that V encompasses all possible sets within the given set theory framework.

The statement "The universal class set, or universe, is the class of all sets: V = {x: x = x}" is referring to the concept of the universal class or the universe in set theory.

In set theory, the universal class set, denoted as V, represents the collection or class that contains all sets. It includes every possible set that can be defined or exists within the context of the set theory being considered.

The notation "{x: x = x}" is used to define the elements of the universal class. Here, "x = x" represents a condition that is always true for any object or element, regardless of its nature. In other words, this condition holds for everything in the universe, as anything is equal to itself.

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Zayn and Attia are thinking of a number each. What is Attia's number? My number is greater than 2. 12 and 20 are multiples of my number. My number is the 11th multiple of Zayn's number. ​

Answers

Answer:

Me: 60

Zayn and Attia: 6

Step-by-step explanation:

12 = 2 × 2 × 3

20 = 2 × 2 × 5

LCM of 12 and 20 = 2 × 2 × 3 × 5 = 60

My number is 60.

Zayn's and Attia's numbers are 6.

Hurry, geometry math 7th grade

Hurry, geometry math 7th grade

Answers

You need to find the area of the hexagon, and the area of the triangle.

The formula for the area of a triangle is

\(a = \frac{bh}{2} \)

I hope this helps you a little.

Answer:

93.5 units^2

Step-by-step explanation:

a^2+b^2=c^2

a=3

b=?

c=6

b=√6^2-3^2

b=3√3=5.196

5.196×3=15.5884

15.5884×6

After each charging, a battery is able to hold only 96% of the charge from the previous charging. The battery was used for 10 hours on its first charge before it had to be recharged. What is the total number of hours the battery can be used over its lifetime?

Answers

Answer:

250 hours

Step-by-step explanation:

The first charge is 10 hours, the second charge is 10(0.96) hours, and so on -- the total of these two is 10+10(0.96)  and we need to keep adding our battery usage up until there is no more battery. The third one is 10(0.96)*(0.96), or 10(0.96)².

This can be seen as a geometric series, with 10 as the first tern, or a, and 0.96 as the common ratio, or r. The sum of this is

\(a\frac{1-r^{n}}{1-r}\), with n being the number of terms. Since 0.96 to the power of n never actually reaches 0 no matter how high n goes if the number is not infinite, we can say n is infinity. As r^n is really close to 0 when n equals infinity (so close that, for our purposes in this equation, we can just assume it's 0), our equation is then

\(10\frac{1}{0.04} =10*25=250\)

4. The relationship between temperature expressed in degress Fahrenheit(F) and degrees Celsius © is given by the formula F = 9/5C + 32. Winson reads a temperature of 34 degrees on a Celsius thermometer. To the nearest degree, what is the equivalent temperature on a Fahrenheit thermometer? Explain:

Answers

We have a formula that relate temperature in degrees Farenheit and degrees Celsius.

\(F=\frac{9}{5}C+32\)

Then, we can convert this temperatures in both ways.

If we have a measurement of 34 degrees Celsius, we can replace C with 34 in the formula and have the measurement expressed in degrees Farenheit:

\(F(34)=\frac{9}{5}(34)+32=\frac{306}{5}+32=61.2+32=93.2\approx93\)

The equivalent temperature in degrees Farenheit, to the nearest degrees, is 93 F.

Se va a cercar un terreno de forma circular que mide de radio 25cm ¿cuántos metros de alambres de púas se necesitan?

Answers

1.57 meters of barbed wire are needed to fence the circular piece of land with a radius of 25 cm.

We have,

To calculate the amount of barbed wire needed to fence the circular piece of land, we need to find the circumference of the circle.

Given:

Radius (r) = 25 cm

The formula for the circumference (C) of a circle is:

C = 2πr

Substituting the given radius into the formula, we have:

C = 2π x 25 cm

Now, we can calculate the circumference in centimeters.

C = 2 x 3.14 x 25 cm

C ≈ 157 cm


Now,

To convert centimeters to meters, we divide the circumference by 100.

C (in meters) = 157 cm / 100

C (in meters) ≈ 1.57 meters

Therefore,

Approximately 1.57 meters of barbed wire are needed to fence the circular piece of land with a radius of 25 cm.

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The complete question.

A circular piece of land with a radius of 25 cm is going to be fenced. How many meters of barbed wire are needed?

What is the BEST estimate for the measure of angle c?
A) 77
B) 88
C) 99
D) 111

What is the BEST estimate for the measure of angle c?A) 77B) 88C) 99D) 111

Answers

Answer:

88

Step-by-step explanation:

Looks close to a right angle so 88 degrees most likely.

Answer:

b 88

Step-by-step explanation:

What is the area of the parallelogram below?



7 in2
14 in2
18 in2
28 in2

What is the area of the parallelogram below?7 in214 in218 in228 in2

Answers

Answer:

14 (B)

Step-by-step explanation:

Area = L * h

L = 7 in^2

h = 2

Area = 7 * 2

Area = 14 in^2

Answer:

14

Step-by-step explanation:

Did lesson

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You just got out of physics class and recall the coefficient of static friction between steel and wood is 0.1 and the coefficient of kinetic friction between steel and wood is 0.08. The mass of the puck is about 1 kg. You decide to impress your friends by sliding the puck at the precise speed on the first try so as to land it in the hole. You slide the puck at 2.0 m/sec. Do you win the stuffed poodle? Let g = 10 m/s2. Note: A slightly too hard throw will win since your aim is so good the puck would drop in the hole. 4. Find the amount and the present value of an annuity due of P950 every quarter for 6years and 6 months, if money is worth 5% compounded quarterly.The formula is attached 1) Conversion Factors: 1 package = 10 ozHow many packages(pkgs) are in 10 ounces (oz) of marshmallows (mm)? 1 pky 9.87 x 10^7 - 2.5 x 10^6answer in scientific notation Franklin Supplies' ROE las year was 2.5%, but its management has developed a new operating plan designed to improve things. 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