An aircraft seam requires 21 rivets. The seam will have to be reworked if any of these rivets is defective. Suppose rivets are defective independently of one another, each with the same probability. (Round your answers to four decimal places.) (a) If 23% of all seams need reworking, what is the probability that a rivet is defective

Answers

Answer 1

For Part A the probability is 0.0095 and for Part B the probability is

0.0043.

What does defective mean in probability?

Probability of defect is perhaps the most important indicator of a manufacturing process's quality. It's a statistical technique used to indicate how often a product will fail during its lifespan, which in turn allows you to estimate the likelihood that an item will result in customer dissatisfaction.

Part A:

The number of rivets=22 rivets

Probability that no rivet is defective= $(1-p)^{22}$

The probability that at least one rivet is defective=1-$(1-p)^{22}$

For 19% of all seams need reworking, probability that a rivet is defective is given by

1-$(1-p)^{22}$ = 0.19

$(1-p)^{22} = 1-0.19\\(1-p)^{22} = 0.81\\ p=1-\sqrt[22]{0.81} \\p=0.0095$

Part B:

For 9% of all seams need reworking, probability of a defective rivet is:

1-$(1-p)^{22}$ = 0.09

$(1-p)^{22} = 1-0.09\\(1-p)^{22} = 0.91\\ p=1-\sqrt[22]{0.91} \\p=0.0043$

Hence, For Part A the probability is 0.0095 and for Part B the probability is 0.0043.

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Related Questions

write an equation for an ellipse if the endpoints of the major axis are at (–1, 5) and (–1, –3) and the endpoints of the minor axis are at (–4, 1) and (2, 1)

Answers

The equation of the ellipse is ((x + 1)^2) / 16 + ((y - 1)^2) / 9 = 1.

To write the equation of an ellipse, we need the coordinates of the center, the lengths of the major and minor axes, and the orientation of the ellipse. Given the endpoints of the major and minor axes, we can determine the center and lengths.

The center of the ellipse is the midpoint of the major axis, which is (-1, (5 + (-3)) / 2) = (-1, 1).

The length of the major axis is the distance between the endpoints, which is 5 - (-3) = 8.

The length of the minor axis is the distance between the endpoints, which is 2 - (-4) = 6.

Since the minor axis is horizontal, and the major axis is vertical, we have a vertical ellipse.

Now, we can write the equation of the ellipse in standard form:

((x - h)^2) / (a^2) + ((y - k)^2) / (b^2) = 1

where (h, k) is the center, and a and b are the lengths of the major and minor axes, respectively.

Plugging in the values we found, the equation of the ellipse is:

((x - (-1))^2) / (4^2) + ((y - 1)^2) / (3^2) = 1

Simplifying, the equation becomes:

(x + 1)^2 / 16 + (y - 1)^2 / 9 = 1

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Simplify the expression.
768x^8y^5
O A. 42³y32²
O B. 2xy² √2x
OC. 4x²y3y
O D. 4x²y3x²y

Simplify the expression.768x^8y^5O A. 42y32O B. 2xy 2xOC. 4xy3yO D. 4xy3xy

Answers

Answer:

4y^4√3x^2y

Step-by-step explanation:

Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.

you need 3 sticks of butter for every 24 cookies you bake how many sticks of butter do you need for 16 cookies

Answers

Answer: 2

Step-by-step explanation:

24 divided by 3 is 8 so 1 stick of butter makes 8 cookies so 2 sticks of butter make 16 cookies(2 x 8)

Answer:

2 sticks of butter

Step-by-step explanation:

First, let's figure out how many cookies you can make with one stick of butter. So, we can divide 3 by 3 and 24 by 3...

$\frac{3}{3} = 1\$

$\frac{24}{3} = 8$

Now that we know that 1 stick of butter makes 8 cookies, we can multiply the amount of cookies till it becomes 16...

8×? = 16

We could rewrite this equation as division...

16÷8 = 2 sticks of butter

Now we know that we need 2 sticks of butter for 16 cookies...

Hope this Helps!!!

We wish to look at the relationship between sales experience (in years) and annual sales (in $10,000). Summary measures are given below: n=7, Σxi=70, Σx2i=896, Σyi=70, Σy2i=770, and Σxiyi=816 Find se.

Answers

To find the standard error (se) in this context, we need to calculate the standard deviation of the residuals. The residuals are the differences between the observed values of annual sales (yi) and the predicted values based on the regression model.

The formula to calculate the standard error is:

se = sqrt[(SSR / (n - 2))]

where SSR is the sum of squared residuals.

To calculate SSR, we need to find the predicted values of annual sales (yi) based on the regression model. The regression model is given by:

yi = b0 + b1xi

where b0 and b1 are the coefficients estimated from the regression analysis.

First, let's calculate the coefficients b0 and b1 using the given summary measures:

b1 = Σ(xi - x)(yi - y) / Σ(xi - x)²

b0 = y - b1x

where x and y are the sample means of sales experience and annual sales, respectively.

Using the given summary measures, we can calculate:

x= Σxi / n = 70 / 7 = 10

y = Σyi / n = 70 / 7 = 10

Σ(xi - x)(yi - y) = Σxiyi - n(x)(y) = 816 - 7(10)(10) = 816 - 700 = 116

Σ(xi - x)² = Σxi² - n(x)² = 896 - 7(10)² = 896 - 700 = 196

Now we can calculate the coefficients:

b1 = 116 / 196 = 0.5918

b0 = 10 - 0.5918(10) = 10 - 5.918 = 4.082

Next, we calculate the predicted values of annual sales (ŷi) using the regression model:

yi = 4.082 + 0.5918xi

Now we calculate the residuals:

ei = yi - yi

Finally, we calculate SSR, the sum of squared residuals:

SSR = Σ(ei)²

Once we have SSR, we can calculate the standard error using the formula mentioned earlier:

se = sqrt[(SSR / (n - 2))]

By substituting the values into the formula, we can find the standard error.

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a gorcery store sells a smal case of 6 bottles of water $4 and large case of q8 bottles for $10. Is the price per bottle pf water proportional?

Answers

8 bottles for $10 is the better deal because each bottle cost $1.25 while
6 bottles for $4 each bottle cost $1.50

A straw is placed inside a rectangular box that is 2 inches by 1 inches by 3 inches, as shown. If the straw fits exactly into the box diagonally from the bottom left corner to the top right back corner, how long is the straw? Leave your answer in the simplest radical form.

Answers

The length of the straw is 3.74 inches.

What is mean by Rectangle?

A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.

Given that;

In rectangular box,

Length (l) = 2 inches

Width (w) = 1 inches

Height (h) = 3 inches

Here, The straw is said to fit into the box diagonally from the bottom.

So, the length (s) of the straw is calculated as:

⇒ s = √ l² + w² + h²

⇒ s = √ 2² + 1² + 3²

⇒ s = √ 4 + 1 + 9

⇒ s = √ 14

⇒ s = 3.74 inches

Thus, The length of straw = 3.74 inches

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The length of the straw will be 3.7416 inches long in radical form.

What is Length of diagonal in cuboid?

If a cuboid has length = l units, breadth = b units, and height = h units, then we can evaluate the length of the diagonal of a cuboid using the formula : X²=l²+b²+h²

Here,

As per the question the length of the straw is equal to length of the diagonal of Rectangular box.

l= 3 inch , b= 2 inch , h= 1 inch

Let us consider the length of the straw be 'x'.

As, Diagonal of Cuboid is,

X²=14

X=√14

i.e. X=3.7416

We get, X= 3.7416 (in radical form)

Hence, the length of the straw will be 5.91607 inches.

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For how many values of x in the open interval (0,1.565) is the instantaneous rate of change of f equal to the average rate of change of f on the closed interval [0,1.565]

Answers

There is an infinite number of values of x in the open interval (0, 1.565) for which the instantaneous rate of change of f is equal to the average rate of change of f on the closed interval [0, 1.565].

The statement is true because if the instantaneous rate of change of a function f is equal to the average rate of change of f on a closed interval, it means that the function is linear over that interval. In other words, the function has a constant slope over the interval [0, 1.565].

Since a linear function has a constant rate of change, there are infinite values of x in the open interval (0, 1.565) that can satisfy this condition. Any value of x within this interval will result in the same instantaneous rate of change as the average rate of change over the closed interval. Thus, there are infinitely many possible values of x that satisfy the given condition.

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Tyler’s cell phone has a $50 charge each month, but no initial fee. On the same coordinate plane, graph the cost of Tyler’s cell phone plan over a period of two years. Then describe how the two graphs are the same and how they are different

Answers

1, 50. 2, 100. Etc. Since there is no initial fee the y-intercept is 0.

can someone help me with this please ?

Answers

Answer:

putamadre

Step-by-step explanation:

noe s

The first one is week 3 minus week 2 which is 3

a package of buttons contains 6 red 3 blue and 7 white P(white buttons) Calculate the probability of the event

Answers

I think it’s 1 out of 16

Twice a certain number is tripled .
The resulting number is

Answers

Answer: 6x

Step-by-step explanation:

so consider x as the number,

twice of x= 2x

2x tripled= 2x*3

= (2*3)x

= 6x

Use the graph of y=sin2theta to find the value of sin 2theta for theta=pi/4 radians.

Answers

Answer:

Step-by-step explanation:

$\frac{pi}{4}$ will be in the mid of 0 and $\frac{pi}{2}$

And by seeing the value we can get it as 1 and by solving

$sin2\alpha \\= sin(2\alpha )\\= sin(2*45)\\= sin(90)\\= 1$

Simplify to a single power of 6 6(5)^4

Answers

Answer:

9th power

Steps:

(6^5)^4

(6^5+4)

6^9

Please help i need it done rn !!
God Bless

Answers

Answer: It C. 5

Step-by-step explanation: each sun is two and the half sun is 1 so 2+2+1 is 5

Please mark me brainliest

Answer:

its c 5

Step-by-step explanation:

Can someone help me solve all of these triangles? thanks!

Answers

3.749 9.9 24.62 9.798

Okay, so take this with a grain of salt

On a map, it is 15 centimeters from Indianapolis to South Bend. The map has a scale of 1 cm : 6 miles. What is the actual distance from Indianapolis to South Bend?
Group of answer choices

90 mi

0.4 mi

2.5 mi

6 mi

Answers

The actual distance from Indianapolis to South Bend is 4.185 miles, which is closest to the answer of 4 miles.

To determine the actual distance from Indianapolis to South Bend given the map scale, we need to use the formula:

Actual distance = Map distance x Scale

In this case, the map distance is 15 centimeters, and the scale is 1 cm : 6 miles. To use the formula, we need to convert the map distance to miles:

Map distance = 15 cm

Scale = 1 cm : 6 miles

15 cm x 1 inch/2.54 cm x 1 foot/12 inches x 1 mile/5280 feet = 0.279 miles

Now we can calculate the actual distance using the formula:

Actual distance = Map distance x Scale

Actual distance = 0.279 miles/cm x 15 cm

Actual distance = 4.185 miles

Therefore, the actual distance from Indianapolis to South Bend is 4.185 miles, which is closest to the answer of 4 miles.

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Robbie made a scale drawing of a neighborhood park. A Soccer field in the park is 14 inches long
in the drawing. The actual field is 98 yards long. What is the scale of the drawing? 1 inch = _ yards

Answers

Answer:

14 it is not 14

Step-by-step explanation:

Answer:

ITS NOT 14

Step-by-step explanation:

I got it wrong anything besides that

2 of 35 Question 12 Review When the binomial 27x² - 300 is factored, the result is 3(3x - b)(3x + b). What is the value of b? a.10 b.20 c.50 d.150

Answers

In elementary algebra, the binomial expansion defines the algebraic expansion of powers of a binomial. The binomial equation be 27x² - 300 exists 3(3x + 10)(3x - 10).

What is meant by binomial equation?

In elementary algebra, the binomial theorem (or binomial expansion) defines the algebraic expansion of powers of a binomial. According to the theorem, it exists possible to extend the polynomial $$(x+y)^n$$ into a sum involving terms of the form $$a x^b y^c$$, where the exponents b and c exists nonnegative integers with b + c = n, and the coefficient a of each term exists a specific positive integer depending on n and b.

Let the binomial equation be 27x² - 300

Factor out common term 3:

$$\quad 3\left(9 x^2-100\right)$$ $$=3\left(9 x^2-100\right)$$

simplifying the above equation, we get

Factor $$9 x^2-100: (3 x+10)(3 x-10)$$

= 3(3x + 10)(3x - 10)

If 3(3x - b)(3x + b) then we get

= 3(3x + 10)(3x - 10)

b = 10

The value of b = 10.

Therefore, the correct answer is option a. 10.

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1. Eential Quetion What are integer and how are they ued to repreent real-world quantitie?

Answers

Integers are a set of numbers that include the positive whole numbers (1, 2, 3, 4, 5, ...), their opposites (-1, -2, -3, -4, -5, ...) and zero. This number line shows the integers from -5 to 5. You can use integers to help represent many real world situations, such as: Increases and decreases in temperature

At a certain time of the day a post, 4 m tall, casts a shadow of 1.8 m. What
is the angle of elevation of the sun at that time?
O point
46°65
65°46

Answers

Answer:

i think its 65°46

Step-by-step explanation:

have a nice dayyyy

What is the perimeter of a rectangle with a length of
9
x
−
4
and a width of
5
x
+
2
?

Answers

Answer:

Step-by-step explanation:

The perimeter of a rectangle with a length of 9x - 4 and a width of (5x + 2) will be 18x - 4.

What is the perimeter of the rectangle?

Let W be the rectangle's width and L its length. The perimeter of the rectangle will be defined as the total length of all of its sides. So the rectangle's perimeter will be given as,

Perimeter of the rectangle = 2(L + W) units

The dimension of the rectangle is given as,

L = 9x - 4
W = 5x + 2

Then the perimeter of the rectangle is given as,

P = 2(L + W)

P = 2(9x - 4 + 5x + 2)

P = 2(14x - 2)

P = 18x - 4

The perimeter of a rectangle with a length of 9x - 4 and a width of (5x + 2) will be 18x - 4.

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NEED NOW!!! A bag of marbles can be shared equally amoung 6, 8, or 12 students with none left iver. What is the least ammount of marbles that can be in the bag?

Answers

Answer: the least amount of marbles would be 24 because it would be divided equally among the people , with none leftover.

Step-by-step explanation: if you had 6 people, each of them would have 4 marbles. if you had 8 people each of them would get 3 marbles. and if you had 12 people, each of them would get 2 marbles.

hope i could help :)

HELP ASAP PLS!!!! I’ll give u whatever u want

Answers

Answer:

A=1/2h(b1+b2)

27=1/2 4 (8+8)

Step-by-step explanation:

can you continue it

ive just try but im slow

1. Sort the numbers into 2 groups, rational or irrational. Write the numbers in the appropriate bubble.
0.8
64
0
32
-19
- 100
2.343443444...
3
7
175
2
6
7
12.67
1121
TT
12
5
Irrational
Rational
3/7
O
0.8
2.343443444...

Answers

Answer:

[see below]

Step-by-step explanation:

All natural numbers, whole numbers, integers, fractions (with integers), and numbers with terminating or repeating decimals are rational. Irrational numbers cannot be written as fractions with integers. This includes non-germinating and non-repeating decimals.

Rational Numbers:

0.8640 (it can be written as $\frac{0}{1}$)32-19-100371752612.6711211253/7

Irrational Numbers:

2.343443444...π

Hope this helps.

Circle describe in your own words

Answers

Answer:

Step-by-step explanation:

probability of an event: number of events that satisfy the criteria/ total number of events

number of events that satisfy the criteria (in this case the number of families with three people)= 200

total number of events= 1000

200/1000= 20%

If x=5 and
y=7. What is the
value of z?

Answers

Hi I hope u Have a good day

the test in an if function must evaluate to either a true or a false.

Answers

Yes, the test in an "if" function must evaluate to either a True or a False value.

An "if" function, also known as a conditional statement, is used to perform specific actions based on whether a certain condition is met or not. The test or condition within the "if" function needs to be evaluated as either True or False in order for the program to decide which action to execute. If the test evaluates to True, the program will perform the action within the "if" block, and if it evaluates to False, it will either execute the action in the "else" block (if present) or simply skip the "if" block.

When using an "if" function in programming, it is essential for the test or condition within the statement to result in a boolean value, which is either True or False. This is because the program needs to determine whether the condition is met or not, so it can decide which set of actions to execute. If the condition evaluates to True, the code within the "if" block will be executed, while if it evaluates to False, the code within the "else" block (if present) will be executed, or the "if" block will be skipped altogether.

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T^12 x T^10= T to the power of what

Answers

Answer:

t²²

Step-by-step explanation:

Hi there !

t¹²ₓ t¹⁰ = t¹²⁺¹⁰ = t²²

Good luck !

please solve this...

Answers

Sorry for bad handwriting

if i was helpful Brainliests my answer ^_^

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Hi I really need help with questions 10 and 11, I would really appreciate it if you would answer these for me, thank you so much!!!! and if you would like you could answer number 1 too thank youuuuu, also if you would like to send the answers to my Instagram its habibamalikkk Find 4/5 of 6/9 in simplest form 2. This next sentence is all one sentence. See if you can improve it by splitting it into separate sentences.Like all animals, human beings need food in order to live because every part of the body needs a steady supply of food so that it can work properly, but first the food has to be broken down through a process called digestion so that it can dissolve in the blood and travel around the body are responsible for the structures and function of organisms During a snow storm, 7.2 inches of snow fell in 4 hours. How many inches fell each hour? * please answer this for me 15. What's the requirement of every single natural process on Earth?O A. OilO B. TreesO C. SunlightO D. Energy sourceO Mark for review (Will be highlighted on the review page)> 1. Translate ''a number is at least 32'' into an inequality.. Single choice.2.There must be no more than 16 people on the field at the same time. Write an inequality to describe the situation3.Write an inequality for the phrase ''two more than three times a number is at most 53.''. Single choice.4.Write an inequality for the expression fourteen more than a number is at least 9.. Single choice.5.Which inequality represents the situation seven less than a number is no more than 25? Median of 3 7 2 4 7 5 7 1 8 8 requiring airline travelers to spend at least one saturday night away from home to qualify for a low fare. Rita deposited less than $1,000 into two accounts. One account paid 2.5% and the other account paid 2% annual interest. After 1 year, she earned at least $23 in interest from the two combined accounts. If x representsthe amount of money Rita deposited at 2.5% and y represents the amount of money she deposited at 2%, which system of inequalities can be used to find the values of x and y?A. x+yz 1000 0.025x + 0.02B. x+y< 1000 0.025x + 0.02C. x-y 1000 0.025x -0.02D. x-y> 1000 0.025x -0.02 Amanda is spreading new grass seed on her yard. The area of her yard is 4,995 square feet. The instructions on the bags of grass seed say that one bag of seed should be used for every 100 square yards. How many bags of grass seed should Amanda use? What part of the continent(s) create the best fit when trying to piece them back together like a puzzle into the supercontinent Pangaea Esfandairi Enterprises is considering a new three-year expansion project that requires an initial fixed asset investment of $2.41 million. The fixed asset will be depreciated straight- line to zero over its three-year tax life, after which time it will be worthless. The project is estimated to generate $1,775,000 in annual sales, with costs of $685,000. The tax rate is 23 percent and the required return on the project is 10 percent. What is the project's NPV? (Do not round intermediate calculations. Enter your answer in dollars, not millions of dollars, and round your answer to 2 decimal places, e.g., 1,234,567.89.) NPV the importance of postive attitudes in resolving conflict between friends which pairs of wires change termination order between the 568a and 568b standards? A protein with a high percentage of lysine and arginine residues would be best purified and concentrated with which type of column? which number is a multiple of 5 A. 52B. 79C. 86D. 90PLZZ FAST THIS IS MATH An organism's inherited appearance is called _______genotypechromosomephenotypeDNA Which is an equivalent expression for 48 + 18x? *6 (8 + x)6 (8 + 3x)2 (24 + 8x)3 (15 + 6x)