A system consists of two components A and B that operate independently. The system
fails when either component fails. The probability that component A fails is 0.2, and
the probability that component B fails is 0.1. What is the probability that the system
fails?

Answers

Answer 1

Answer:

0.3

Step-by-step explanation:

When one component fails, so does the other one.

a + b = P

0.1 + 0.2 = 0.3

Your answer would be 0.3 or 30%.

Hope this helps. Have a nice day.


Related Questions

which of the following is true about the function below? 1/√x-6

Answers

Answer:

Assuming the x-6 is under the square root sign, the value must be greater than 6 because you can not have 0 in the domain. That narrows it down to either B or C but since the denominator can not be anything less than 0, your answers will always be positive so that means the answer is Its domain is (6,∞)

Answer:

Its domain is (6,∞) and its range is (0,∞) your welcome :3

Each year, the number of students taught by Mr. Wright increases by 2. The first year, he taught 18 students. The total number of students taught after 25 years can be represented using the expression . How many students has Mr. Wright taught in 25 years?

Answers

Answer: 452 students

25 x 18 = 450 + 2= 452

Answer:

C

Step-by-step explanation:

Correct on edge 2020

g Based on historical data, your manager believes that 32% of the company's orders come from first-time customers. A random sample of 146 orders will be used to estimate the proportion of first-time-customers. What is the probability that the sample proportion is greater than than 0.43

Answers

Answer:

0.0022 = 0.22% probability that the sample proportion is greater than than 0.43

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

Based on historical data, your manager believes that 32% of the company's orders come from first-time customers.

This means that [tex]p = 0.32[/tex]

Mean and standard deviation:

Sample of 146 means that [tex]n = 146[/tex]

[tex]\mu = p = 0.32[/tex]

[tex]s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.32*0.68}{146}} = 0.0386[/tex]

What is the probability that the sample proportion is greater than than 0.43?

This is 1 subtracted by the pvalue of Z when X = 0.43. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{0.43 - 0.32}{0.0386}[/tex]

[tex]Z = 2.85[/tex]

[tex]Z = 2.85[/tex] has a pvalue of 0.9978

1 - 0.9978 = 0.0022

0.0022 = 0.22% probability that the sample proportion is greater than than 0.43

solve[5x-6/7] = -8 for x
please help

Answers

Answer:

7=7

Step-by-step explanation:

1 Let x=\frac{13}{5}x=  

5

13

​  

.

5\times \frac{13}{5}-6=7

5×  

5

13

​  

−6=7

2 Cancel 55.

13-6=7

13−6=7

3 Simplify  13-613−6  to  77.

7=7

7=7

hope this helps.

The first three terms of a sequence are given. Round to the nearest thousandth (if necessary). 16, 8,4,... 16,8,4,... \text{Find the 10th term.} Find the 10th term.

Answers

Answer:

0.03125

To the nearest thousandth = 0.031

A: 49
B: 33
C: 57
D: 16

Answers

Answer:

d

Step-by-step explanation:

i believe its 49 - 33= answer bc 49=49

Answer:

16°

Step-by-step explanation:

The two angles are vertical, meaning that they are the same

33 + 16 = 49

How many planes are shown in the figure?

Answers

Answer:

5

Step-by-step explanation:

5

Answer:

5

Step-by-step explanation:

5x -30 = 3x + 60
How many solutions are there

Answers

Answer:

one solution

Step-by-step explanation:

5x - 30 = 3x + 60

2x - 30 = 60

2x = 90

x = 45

A manufacturing company with 350 employees is changing the employee health insurance plan to either plan A or plan B. The company wants to know if employees have a preference between the two plans and whether or not preference differs between those employees who have family members covered under the current plan (group 1) and those who do not (group 2). The human resources office takes a simple random sample from each of the two groups, sends information about both plans to the employees in each sample, and asks them whether they prefer plan A or plan B. The table summarizes the responses received, with expected cell counts in parentheses.

Plan A Plan B Total
Yes (group 1) 40 (32.5) 20 (27.5) 60
No (group 2) 6 (13.5) 19 (11.5) 25
Total 46 39 85

Which statement is true about whether the conditions for the chi-square test for homogeneity have been met?
a. A simple random sample should have been taken from all the employees, and then each employee in the sample should have been asked their plan preference and whether or not they have family members covered under the current health insurance plan.
b. The expected cell counts are not large enough to apply the chi-square test for homogeneity.
c. The total sample size is not large enough to apply the chi-square test for homogeneity.
d. The total sample size is too large to apply the chi-square test for homogeneity.
e. All conditions necessary to apply the chi-square test for homogeneity are satisfied here.

Answers

Answer: D. The total sample size is too large to apply the chi-square test for homogeneity.

Step-by-step explanation: When sampling without replacement, the sample size should not exceed 10 percent of the population size. Here, the sample size of 85 is just over 24 percent of the population of 350 company employees.

The total sample size is too large to apply the chi-square test for homogeneity.

We have given that,

A manufacturing company with 350 employees is  changing the employee health insurance plan to either plan A or plan B.

                         Plan A        Plan B        Total

yes(group 1)       40(32.5)   20(27.5)      60

No (group 2)      6 (13.5)     (11.5) 25       25

Total                   46             39              85

We have to find which statement is true,

What is sampling without replacement?

Each sample unit of the population has only one chance to be selected in the sample. we can select one sample only way and after selection we cannot pot this sample in the sample space again.

The sample size should not exceed 10 percent of the population size.when we use sampling  without replacement,

Here, the sample size of 85 is just over 25 percent of the population of 350 company employees.

Therefore,the total sample size is too large to apply the chi-square test for homogeneity.

To learn more about the sample space replacement and without replacement visit:

https://brainly.com/question/17042101

What is the answer to questions 5 + 3? Please answer due midnight.

Answers

Answer: 8

Step-by-step explanation: np:)

âp3x
is
TRASH
ãp3x didnt even give us a SPRING BREAK WHICH WE ARE ENTITLED TO!!!!
answer if u wanna​

Answers

yup I use it. it gets anoying

I’ll give 35 points and brainliest answer asap please it’s due tomorrow

Answers

Answer:

try 72.2

Step-by-step explanation:

surface area is 3.8x3.8x6

but minus one side is 3.8x3.8x5 = 72.2

Answer:

72.2 square meters

Step-by-step explanation:

multiply the length by the width

3.8 x 3.8 = 14.44

in a cube there are 6 sides; however, it says Sarah is painting all the sides except for one so she is only painting 5 sides

14.44 x 5 = 72.2

Please answer the question below:​

Answers

Answer:

A 12 x 6

Step-by-step explanation:

Answer:

hi

Step-by-step explanation:

Tacos are served in the cafeteria every 4th
school day, and hamburgers are served every 6th
school day.

If both tacos and hamburgers were served today, when is the next day that they will be served on the same day again?

Answers

Answer:

On the 12th day

Step-by-step explanation:

12 is a multiple of both 4 and 6

The answer would be 12 it would be served on the 12th

a rectangular banner has an area of 36.75 square feet, The length of the banner is 15 feet. What is its width

Answers

Answer:

w=A

l=36.75

15=2.45ft

Step-by-step explanation: there you go :>

Answer:

2.45ft

Step-by-step explanation:

w=A

l=36.75

15=2.45ft

Solve for x.
4x + 1 = 3x - 2
x= [?]

Answers

4x + 1 - 3x -2 =0
<=> x - 1 = 0
<=> x = 1

Help

solve 2x+4=10

Brainliest

Answers

❤️ The answer is attached

achievements.

Answer:

x=3

Step-by-step explanation:

2x+4=10

subtracting both side by 4.

2x+4-4=10-4

2x=6

x=6/2=3

the difference of 4 and 5 times h ​

Answers

Answer:

4-5h

Step-by-step explanation:

difference = minus sign

and 5 times h

Answer:

Step-by-step explanation:

There are two answers to this making the question slightly ambiguous.

1) 4 - 5*h

2) (4 - 5)*h

It is impossible to tell which answer is the correct one. However, if I had to guess, I would say it is 4-5*h

3 tons = ________ how many pounds

Answers

Answer:

6000 pounds

Step-by-step explanation:

calculator

Answer:

6000lbs

Step-by-step explanation:

3*2000=6000

I need help solving this​

Answers

The answer would be 108 ft^2

ivan drove 871 miles in 13 hours. At the same rate how many miles will he drive in 9 hours( HELP)

Answers

Step-by-step explanation:

speed = distance/time

speed = 871÷13

speed = 67 mph

distance = speed x time

distance = 67mph X 9hrs

distance = 603 m

Answer:

603miles

Step-by-step explanation:

871=13

?=9

cross multiply

871x9=13?

7839=13?

7839/13=13?/13

603=?

?=603

Please help I’ll give brainalist + 10 points to whoever helps and get this 100% right

Answers

Answer:

its C

Step-by-step explanation:

because 180⁰-40⁰=140⁰

Answer:

∠m = 140°

Step-by-step explanation:

∠1 and ∠m are adjacent angles, so they add up to 180°.

∠1 + ∠m = 180

40 + ∠m = 180

∠m = 180 - 40

∠m = 140°

Which expression is equivalent to 16 + 2 ⋅ 36?

Answers

4(2x+3)(2x-3)
Have a nice day

Giving Brainliest Go FASTTTTT

Answers

ANSWER

8, M<D=80°

M<E=60°

M<F=40°

X=5

Y=18

Scale factor of triangle ABC : triangle DEF= 3

9, X=20

Y=16

Z=10

m<D=61°

m<E=75°

m<G=112°

m<B=112°

scale factor ABCD : EFGH = 1.6

in a school of 40 students 10% are boys. How many boys are there

Answers

Answer:

4boys

Step-by-step explanation:

40 of 10% 40×10/100 =4 remember percentage is always over 100

Is the ratios 2.5 : 8 and 7.5 : 24 are they equivalent?

Answers

Answer:

Yes, they are equivalent.

Step-by-step explanation:

To get from 2.5 : 8 to 7.5 : 24, you have to multiply by both sides by 3.

So they are equivalent.

Answer this question: -5x - 10y + 7x + 15y
Please try to explain it as best as possible <3

Answers

2x + 5y is the answer



There’s also this app called Cymath where you type in your math equation and it gives you the answer

Answer:

2x + 5y

Step-by-step explanation:

-5x - 10y + 7x + 15y

add the ones with the same variables

-5x + 7x - 10y + 15 y

2x + 5y

and there you have the answer "2x + 5y"

PLEASE HELP 20 POINTS!

which model shows 1/4 ÷ 3?

Answers

Answer:

A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

A

A shoe box is 4 inches wide, 3 inches deep, and 12 inches long. What is the volume?

I know it's 144 but 144 what?​

Answers

Answer:

144in square

Step-by-step explanation:

(2a^3 b^4) ^4=
What is the answer to this problem ?

Answers

Answer: 16a^12 b^16

Step-by-step explanation:

Everything in the parenthesis to the 4th power.

2a^4= 16a

3*4=12

b^4*4=b^16

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