During the assembly of a certain piece of exercise equipment, 3 welds are required during different phases of the assembly process. It is assumed that the welds are performed independently of one another. Due to variation in the materials used and in technique, only 97% of all welds are performed satisfactorily, with the remaining 3% being classified as defective. What percentage of all pieces of this type of equipment will have at least one defective weld

Answers

Answer 1

Answer:

99.9973 %

Step-by-step explanation:

This is a binomial probability distribution.

Since the probability of satisfactory welds = 97% = 0.97 and the probability of defective welds = 3% = 0.03.

Since there are 3 welds and we require at least one being defective, our binomial probability is

P(x ≥ 1) = 1 - P(x ≤ 0) = 1 - P(0) = 1 - ³C₀(0.03)³(0.97)⁰ = 1 - 1 × ‭0.000027‬ × 1 = 1 - 0.000027 = 0.99997‬3 × 100% = 99.9973%


Related Questions

Which equation is NOT equivalent to p – 7 = 22? Select all that apply.
A. p – p – 7 = 22 – p
B. p – 7 – p = 22 – p
C. p – 7 + 22 = 22 – 7
D. p – 7 + 7 = 22 – 22
E. p – 7 + 7 = 22 + 7

Answers

Answer:

C. p - 7 + 22 = 22 - 7

D. p - 7 + 7 = 22 - 22

Step-by-step explanation:

p - 7 = 22

Add 7 to both sides

p = 29

An equivalent equation could be;

-7 = 22 - p

If a circle has a circumference of 8.5 cm, what is the diameter of the circle to the nearest 0.1 cm?

Answers

Answer:

Step-by-step explanation:

2[tex]\pi[/tex]r = circumference

2[tex]\pi[/tex]r = 8.5 cm

[tex]\pi[/tex]r = 4.25 cm

r = 1.352817 cm

d = 2r

d= 2.705

diameter = 2.7 cm

f(x)=-x^2+x-5
What are the coordinates of the vertex of the parabola of the function ?

Answers

Answer: I took a screen shot of it hope it helps

Step-by-step explanation:

Evaluate the expression if b = -2/3 and c = 1/2.
2bc + 3b^2

Answers

Answer:

2/3

Step-by-step explanation:

2 (−2/3) (1/2) + 3 (−2/3)^2

= −4/3 (1/2) + 3 (−2/3)^2

= −2/3 + 3 (−2/3)^2

= −2/3 + 3 (4/9)

= −2/3 + 4/3

= 2/3

Explain a method you could use to find 50% out of $24. ​

Answers

Answer:

$12

Step-by-step explanation:

50% means half of something. Like 50% of 20 is 10. 100% means the whole number. So, 50% is half of the number.

24 divided by 2 is 12.

Hope this helps !!

find the solution of the system of equations

Answers

Answer:

( -2 , 1 )

Step-by-step explanation:

••••••••

sorry no explanation for today

Find a formula for a geometric sequence that begins with 11, -33, 99

Answers

Answer:

17

Step-by-step explanation:

What is the answer to
8/12 = ?/3

Answers

Answer:

2/3 is the answer.

Its divided by 4...

Hope it helps!!!

Answer:

2/3(Bolded number is the answer)

Step-by-step explanation:

8/12(divide by 4)

?/3

So, you get 2 as 8 divided by 4 is 2.

Gillian has completed 25% of a bicycle race. If the length of the race is 32 km, how many has she traveled so far?
800
80
8
8000
NO LINKS

Answers

Answer:

8 km

Step-by-step explanation:

0.25 x 32 = 8

Which of the following is a unit rate?
55 miles / 2 hours
2 pounds per 32 ounces
6 miles per minute
21 days in 3 weeks​

Answers

The answer is math+math=math

Answer:

Lets be honest we all come to this website just to get answers but the answer would be either C or A

Step-by-step explanation:

Can anyone help me with my homework

Answers

Answer:

A.

1) No

2)yes

3)yes

4)yes

5) it's not a function

The tuft bind strength of a synthetic material used to make carpets is known to have a mean of 100 lb and standard deviation of 20 lb. A sample of 40 is randomly selected and the average strength was found as 105lb. Let μ denote the average tuft strength. Could it be that the average tuft strength is above 100 lb? Based on the information, what should be the appropriate null and alternative hypotheses for the purpose of your analysis?

Answers

Answer:

The null hypothesis is: [tex]H_{0}: \mu = 100[/tex]

The alternative hypothesis is: [tex]H_{a}: \mu > 100[/tex]

Step-by-step explanation:

At the null hypothesis, we test if the mean is equal to a certain value.

At the alternate hypothesis, we test if the mean is less than, more than, or different from the value tested at the null hypothesis.

The tuft bind strength of a synthetic material used to make carpets is known to have a mean of 100 lb and standard deviation of 20 lb.

This means that the null hypothesis is: [tex]H_{0}: \mu = 100[/tex]

Could it be that the average tuft strength is above 100 lb?

The world above means that the appropriate alternative hypothesis is: [tex]H_{a}: \mu > 100[/tex]

1. What is the opposite of 6.87?

Answers

Answer:

-6.87

Consider the opposite symbol

(Negative and Positive)

For questions 3 that’s all i need help please !!! For a test and please put your answers below !!!

Answers

Answer:

D) 1078

Step-by-step explanation:

bruce’s sock drawer contains 9 black socks, 4 white socks, and 12 Brown socks. Express shoes is a sock at random, what is the probability that he will choose a sock that is not brown.

A. 16/25
B. 13/25
C. 12/25
D. 9/25

Answers

Answer:

hdhdjidnd rkdb akkabdbnfjbf

dhideijd

eeijberb

Answer: I think its C (12/25) I'm not completely sure though.

Step-by-step explanation:

PLSSSSSSSSSSSSSSSSSSSSSS HELPPPPPPPPPPPPPPPPPPPPPPPPPPPP​

Answers

Answer:

17925

Step-by-step explanation:

3(1/4)=3.25

simple interest formula:

PV(1+it)=FV

we will divide the 72 months to convert it into years

72/12=6

15000(1+.0325*6)=17925

Answer:

$17,295 will be in his account after 72 months.

Step-by-step explanation:

G.$17295

Shim bougth a pair of shoes fo $600.If she got a discount of 30% ,home much did she paid for the shoes?​

Answers

Answer:

she paid 420 dollars for it

Step-by-step explanation:

30 percent of 600 is 180

How many miles are in 506,880 inches?

Answers

8 miles should be your answer.

Mariana wears her winter coat when the temperature is colder than -4°

Answers

Answer:

your answer is t < -4

Step-by-step explanation:

hope it helps...

have a great day!! :)

The one highlighted is wrong please help

Answers

Answer:

The .79 correlation is strong and positive, but "significan" is a question not answered by the correlation coefficient.  Many people mistake correlation for causation--one variable's change causing the other variable to change.

Pick the second answer.

Can someone help me? I’ll reward points + brainalist (btw only need help with number 5)

Answers

Answer:

A. 55°

hope it can help you

Answer is 55 it means A

A 30°- 60°- 90° triangle is shown below. Find the length of a and b. * leave the answer in simplified radical form*

Answers

Step-by-step explanation:

a = 12√3

b = 24

hope this helps

The verticals of ABC are A (-3,4), B (-2,4) and C(-4,2). ABC is reflected across the y-axis and then reflected across the x-axis to produce the image A”B”C. Graph ABC and A”B”C.
WHICH GRAPH SHOWS ABC AND A”B”C

Answers

I believe the answer is B.

Answer:

A

Step-by-step explanation:

Which of the following would be a correct interpretation of a​ 99% confidence interval such as 4.1​5.6? Choose the correct answer below. A. We are​ 99% confident that the interval from 4.1 to 5.6 actually does contain the true value of . B. It means that​ 99% of sample means fall between 4.1 and 5.6. C. It means that​ 99% of all data values are between 4.1 and 5.6. D. There is a​ 99% chance that will fall between 4.1 and 5.6.

Answers

Answer:

A. We are​ 99% confident that the interval from 4.1 to 5.6 actually does contain the true value of population mean.

Step-by-step explanation:

x% confidence interval:

A confidence interval is built from a sample, has bounds a and b, and has a confidence level of x%. It means that we are x% confident that the population mean is between a and b.

In this question:

99% confidence interval means that we are 99% sure that this interval contains the population mean.

Interval between 4.1 and 5.6.

So the correct answer is given by option A.

I’m not sure how I do this. Plz help me

Answers

Answer:

y = 3/4x - 2

Step-by-step explanation:

Given:

m = 3/4

b = -2

y = mx + b

m = slope

b = y-intercept

y = 3/4x - 2


Which points on this vertical number line best represent the locations of 2.5 and
A: G and J
B: G and K
C: H and I
D: H and J

Answers

i’m pretty sure the answer is b :)

Use Lagrange multipliers to find the maximum and minimum values of subject to the given constraint. Also, find the points at which these extreme values occur.
f(x, y) xy: 48x+3y2 3456
Enter your answers for the points in order of increasing x-value.
Maximum______
Minimum_______

Answers

Answer:

Following are the responses to the given question:

Step-by-step explanation:

Given:

[tex]\to f(x,y)=xy\\\\\to 48x^2+3y^2=3456\\\\[/tex]

let [tex]\phi(x,y)=48x^2+3y^2=3456[/tex]

using the lagrange multiplies:

[tex]\bigtriangledown f=\lambda \bigtriangledown \phi\\\\i)\ \ y=96 \lambda x \to \lambda=\frac{y}{96\ x} \\\\ii)\ \ x=6 \lambda y \to \lambda=\frac{y}{6\ y} \\\\iii)\ \ 48x^2+3y^2=3456\\\\[/tex]

From equation (i) and (ii)\\\\

[tex]\to \frac{y}{96x}=\frac{x}{6y}\\\\\to 6y^2=96x^2\\\\\to 3y^2=48x^2\\\\[/tex]

From equation 3:

[tex]48x^2+48x^2=3456\\\\96x^2 3456\\\\x^2=36\\\\x=\pm 6\\\\\therefore 3y^2=48(36)\\\\3y^2=1728\\\\y^2=576\\\\y=\pm24\\\\(x,y)=(\pm 6,\pm 24)\\\\Maximum \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 144 \ \ \ \ at \ \ (6,24) \ \ \ \ \ \ \ and \ \ \ \ \ \ (-6, -24) \\\\Minimum \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ -144 \ \ \ \ at \ \ (-6,24) \ \ \ \ \ \ \ and \ \ \ \ \ \ (6,-24)\\\\[/tex]

Jada is working as a waitress. If she earned $70 in tips and worked four hours and made $110 that day, how much money does Jada make each hour?

Answers

Answer:

45

Step-by-step explanation:

1. $70 + $110 = $180

2. $180 ÷ 4 = $45/hour

The population of a city increases by 1% per year. If this year's
population is 264,000, what will next year's population be, to the nearest
individual?

Answers

Answer:

266640 population

Step-by-step explanation:

1 pts
Your school is having a drawing to give away two prizes to students with
perfect attendance. There are ten total students with perfect attendance in
the drawing and you and your best friend are two of those ten. What is the
probability that you and your friend would win the two prizes that your
school is giving away?

Answers

Answer:

20% im guessing bc they are out of ten people

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