For a parallel structure of identical​ components, the system can succeed if at least one of the components succeeds. Assume that components fail independently of each other and that each component has a 0.21 probability of failure. Complete parts​ (a) through​ (c) below.
Would it be unusual to observe one component​ fail? Two​ components?
It

would not
would
be unusual to observe one component​ fail, since the probability that one component​ fails,

enter your response here​, is

less
greater
than 0.05. It

would not
would
be unusual to observe two components​ fail, since the probability that two components​ fail,

enter your response here​, is

greater
less
than 0.05.

Answers

Answer 1

Using the probability concept, we have that:

a) It would not be unusual to observe one component​ fail, since the probability that one component​ fails is greater than 0.05.

b) It would be unusual to observe two components​ fail, since the probability that two components​ fail is less than 0.05.

What is a probability?

A probability is given by the number of desired outcomes divided by the number of total outcomes. If a probability is less than 0.05, the event is considered unusual.

In this problem, the probabilities are given as follows:

0.21 probability that one component fails, hence not unusual.(0.21)² = 0.0441 probability that two components fail, hence unusual.

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Related Questions

A cell phone towerbcast a shadow that is 40 feet long . An 10- foot- tall stop sign located near the tower casts a shadow that is 8 feet long. How tall is the cell phone tower?

Answers

Using proportions, considering the relation between the height and the shadow, it is found that the cell phone tower is 50 feet.

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

When the shadow is of 8 feet, the height is of 10 feet. What is the height when the shadow is of 40 feet? The rule of three is:

8 feet - 10 feet

40 feet - h feet

Applying cross multiplication:

8h = 10 x 40

Simplifying by 8:

h = 10 x 5 = 50 feet.

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A bedroom measures 9 feet long and 11 feet wide. A scale drawing is made using a scale factor of 112.

What is the length of the bedroom in the scale drawing?

3/4 11/12 5/3

Answers

multiply the actual length by the scale:

9 x 1/12 = 9/12 = 3/4


Answer: 3/4

the height of a plant in centimeters is modeled as a function of time, in days. consider this graph of the function enter the average rate of change for the height of the plant measured in centimeters per day between day 0 and day 20

Answers

The average rate of change for the height of the plant measured in centimeters per day between day 0 and day 20 is 1.32 cm per day.

What is average height?

The average height is the ratio of change in height of the plant and the time taken taken for that change.

Given is the height of a plant in centimeters is modeled as a function of time, in days.

For day 0, the height is 18cm and the height for day 20 is 42 cm, then the average height change is

height per day = 42 - 18/ 20 -0

height per day  = 1.2 cm/day

Thus, the average height of plant is  1.2 cm/day.

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Find the ratio of 18 inches to 2 yards B
A. 3/4 B. 1/4
C. 1/5 D. 2/5

Answers

Answer:

B. 1 / 4

Step-by-step explanation:

Step 1: We can turn 2 yards into 6 feet.

Step 2: Then we can turn 6 feet into 72 inches.

Step 3: We plug it into the ratio, getting 18 / 72.

Step 4: Simplify. We get 1 / 4 as the answer. Therefore, we choose B.

Given m = -1/2 and the point (3, -6), which of the following is the point-slope form of the equation

Answers

Answer:

y + 6 = -1/2(x-3)

Step-by-step explanation:

let me know if you want an explanation

Question 2
A) 800 cents
A laptop computer consumes about 40 watts of electricity per hour when operating. At $0.20 per kilowatt-hour, how much does.
laptop cost to operate for 10 hours?
B) 40 cents
200 cents
8 cents
19 OF 20 QUESTIONS REMAIN
Question 3
10 Point
10 Points

Answers

Answer: $80

Step-by-step explanation:

Given:

The laptop consumes 40 watts/hour

The operating cost is $0.20 per kilowatt - hour

So,

The cost for 1 hour of consumption = 40 * 0.20 = $8

The cost for 10 hours of consumption = $8 * 10 hours = $80

Find x
proportions with similar triangles. ​

Answers

Answer:

32

(this is just an approximation due to the left triangle)

The is 32 I hope dis helps

What is 3/4 divided by 1/2

Answers

Answer:
Fraction: 3/2
Decimal: 1.5

Answer:

1 1/2

Step-by-step explanation:

Convert both fractions into decimals

⇒ 3/4 (0.75) and 1/2 (0.50)

Divide the decimals:

⇒0.75 ÷ 0.50

Find the quotient

⇒ 1.5

Convert the quotient to a fraction

⇒ 1 1/2

Terms:

Operations with fractions

Solve 8x + c = k for x.
A. x=8(k-c)
OB. x=
_k+c
8
O C. x = 8(k+c)
O D. x=
k-c
8

Answers

Answer: [tex]x=\frac{c-k}{8}[/tex]

Step-by-step explanation:

[tex]1) \text { } 8x+c=k \text{ (given)}\\\\2) \text { }8x=c-k \text{ (subtract } k \text{ from both sides)}\\\\3) \text { } \boxed{x=\frac{c-k}{8}} \text{ (divide both sides by 8)}[/tex]

Expand each expression A ( x+1)^2 B(x-3)^2. C ( x+4)^2 D (x-1/2)^2

Answers

The expanded expressions are shown below:

(x + 1)² = x² + 2 · x + 1(x - 3)² = x² - 6 · x + 9(x + 4)² = x² + 8 · x + 16(x - 1/2)² = x² - x + 1/43 · (x - 5)² = 3 · (x² - 10 · x + 25) = 3 · x² - 30 · x + 75(1/2) · (x - 2)² = (1/2) · (x² - 4 · x + 4) = (1/2) · x² - 2 · x + 2

How to expand perfect square trinomials

Perfect square trinomials are polynomials of grade 2 with the form (a + b)² = a² + 2 · a · b + b². In this case, we have to expand six perfect square trinomials:

a) (x + 1)² = x² + 2 · x + 1

b) (x - 3)² = x² - 6 · x + 9

c) (x + 4)² = x² + 8 · x + 16

d) (x - 1/2)² = x² - x + 1/4

e) 3 · (x - 5)² = 3 · (x² - 10 · x + 25) = 3 · x² - 30 · x + 75

f) (1/2) · (x - 2)² = (1/2) · (x² - 4 · x + 4) = (1/2) · x² - 2 · x + 2

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What is the remainder of x^5+2x^4+9x^3-6x^2+3x+3165 divided by x-5

Answers

Answer:

8530

Step-by-step explanation:

The remainder is 5⁵ + 2(5)⁴ + 9(5)³ - 6(5)² + 3(5) + 3165 = 8530

a water tank is empty. Anil needs to fill the tank with 2400 litres of eater

Answers

Answer:

2400 liters in tank

Step-by-step explanation:

Company A would take 260 minutes more than Company B for filling 2400 liters of water in Anil's tank when the rate at which Company A fills is 8 liters in 1 minute and 40 seconds, while the rate at which Company B fills is 2.2 gallons per minute.

What is the meaning of rate?

Rate is the ratio of quantity to time.

[tex]RATE = \frac{QUANTITY}{TIME}[/tex].

How to solve the question?

In the question, we are asked to find the time which Company A takes more than Company B for filling a water tank of 2400 liters when Company A fills water at a rate of 8 liters in 1 minute and 40 seconds, while the rate at which Company B fills is 2.2 gallons per minute.

For Company A:

The capacity of the tank = 2400 liters

Rate = 8 liters in 1 minute and 40 seconds

Now, 1 minute and 40 seconds = 1 + 40/60 minutes = 1.67 minute

Therefore, the actual rate = 8/1.67 = 4.8 liters per minute.

Therefore, the time taken by Company A = 2400/4.8 minutes = 500 minutes.

For Company B:

The capacity of the tank = 2400 liters.

We know 1 gallon = 4.54 liters,

or, 1/4.54 gallons = 1 liter.

Therefore, the capacity of the tank = 2400 * (1/4.54) gallons = 528.634 gallons.

Rate = 2.2 gallons per minute.

Therefore, the time taken by Company B = 528.634/2.2 minutes = 240.288 minutes.

Therefore, the time that Company A takes more than Company B = 500 - 240.288 minutes = 259.712 minutes ≈ 260 minutes.

The given question is an incomplete question. The complete question is:

"A water tank is empty.

Anil needs to fill the tank with 2400 liters of water.

Company A supplies water at a rate of 8 liters in 1 minute and 40 seconds.

Company B supplies water at a rate of 2.2 gallons per minute.

1 gallon = 4.54 liters.

Company A would take more time to fill the tank than Company B would take to fill the tank.

How much more time?

Give your answer in minutes correct to the nearest minute."

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In a test of the effectiveness of garlic for lowering​ cholesterol, 50 subjects were treated with garlic in a processed tablet form. Cholesterol levels were measured before and after the treatment. The changes ​(before-​after) in their levels of LDL cholesterol​ (in mg/dL) have a mean of3.1 and a standard deviation of 16.6. Construct a 99% confidence interval estimate of the mean net change in LDL cholesterol after the garlic treatment. What does the confidence interval suggest about the effectiveness of garlic in reducing LDL​ cholesterol? Click here to view a t distribution table.LOADING... Click here to view page 1 of the standard normal distribution table.LOADING... Click here to view page 2 of the standard normal distribution table.LOADING... What is the confidence interval estimate of the population mean ​?

Answers

The confidence interval estimates that the confidence interval limits contain 0., suggesting that the garlic treatment did not affect the LDL cholesterol levels.

A confidence interval is a range of estimates for an unknown parameter in frequentist statistics. The 95 percent confidence level is the most common, but other levels, like 90 percent or 99 percent, are occasionally used when computing a confidence interval.

Given in a test of effectiveness of garlic for lowering cholesterol, 50 subjects were treated with garlic in a processed tablet form.Both before and after the therapy, cholesterol levels were assessed.

LDL cholesterol variations had a mean of 4.4 and a standard deviation of 19.4 (in mg/dL). The best point estimate is 4.4.

We have to find 95% confidence interval estimate of the population mean

So,

x-bar = 4.4

ME = 1.96 = 5.27

H: no difference

Ha: is a difference

We fail to reject H since 0 is in the CI.

Hence the confidence interval estimates that the confidence interval limits contain 0., suggesting that the garlic treatment did not affect the LDL cholesterol levels.

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6 out of 11 players played well on the baseball team. What percent is it?

Answers

It would be 54.5% or 55%. If you divide 6/11 you get .545 so you move the decimal place 2 to the left and that’s how you get the percentage.

Answer: 54%

Step-by-step explanation:

You will need to divide these numbers.

[tex]6/11=0.54[/tex]

After you divide that, simplify that to a percentage by multiplying it by 100.

[tex]0.54 *100=54%[/tex]%

I hope this helps!!

pls help i forgot how to do this :)

Answers

Answer:

in picture

Step-by-step explanation:

added in the picture

an animal shelter takes in an average of 5 animals per day. the shelter must keep its total occupancy below 300. currently the shelter has 165 animals. if none of the animals get adopted which inequality represents how many more days, x, the shelter can continue to take in animals without exceeding its occupancy limit?

Answers

Answer:

y= 5x+165

Step-by-step explanation:

the slope is 5, so five per day, plus the y-intercept, or when x = 0

Brainliest pls

RATS is a parallelogram. M

Answers

Answer:

Answer:

x = 12

Step-by-step explanation:

m∠S + m∠T = 180

8x + 7x = 180

15x = 180

x = 12

does this help?

A dairy farmer wants to make 45% protein supplement and a standard 15% protein ration to make 1800 pounds of high grade 35% protein ration how many pounds of each should be used.

Answers

1200 pounds of protein supplement and 600 pounds of standard protein is used.

Let a be the protein supplement and b be the standard protein.

Given that protein supplement and standard protein make 1800 pounds of high grade protein.

i.e., a+b = 1800 ------- (1)

45% a + 15% b = 35% 1800

0.45a + 0.15b = 1800 (3.5)

By (1), a = 1800 - b

Substituting, we get

0.45 (1800-b) + 0.15b = 630

810 - 0.45 b + 0.15b = 630

- 0.3 b = - 180

b = -180/-0.3

b = 600

Substituting b = 600 in (1),

we get

a = 1200.

Hence, 1200 pounds of protein supplement and 600 pounds of standard protein is used.

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Select the correct answer. Consider this function. Which graph represents the inverse of function f? The linear function on a coordinate plane passes through (4, 3), and (2, 2) which intercepts the axis at (0, 1), and (minus 2, 0). W. The linear function on a coordinate plane passes through (minus 4, 4), and (2, 1) which intercepts the axis at (4, 0), and (0, 2). X. The linear function on a coordinate plane passes through (3, 4), and (minus 1, minus 4) which intercepts the axis at (1, 0), and (0, minus 2). Y. The linear function on a coordinate plane passes through (minus 1, 4), and (2, minus 2) which intercepts the axis at (0, 2), and (0, 1). Z. A. W B. X C. Z D. Y

Answers

Answer:

A , C , D  , i thinks it another one but ionk

Step-by-step explanation:

NEED HELP ASAP WILL MARK BRAINLIEST!

Answers

Answer:

log_{b} (5b) = 2.609

Given that:

log_{b} (3) = 1.099

log_{b} (5) = 1.609

Evaluating with that:

[tex]\sf log_b (5b) = log_b\left(5\right)+log_b\left(b\right)[/tex]

            [tex]= \sf 1.609 + 1[/tex]

             [tex]= \sf 2.609[/tex]

Rule Used:

[tex]\rm \log _a\left(xy\right)=\log _a\left(x\right)+\log _a\left(y\right)[/tex]

A tree is making a shadow 22 feet long. The angle of elevation from the tip of
the shadow to the top of the tree is 50°.
feet. Round your answer to the nearest
The height of the tree is about
foot.

Answers

Answer:

26.2 feet

Step-by-step explanation:

tan(50°) = h/22

h = 22 × tan(50°) = 26.2 feet

look at the picture

Answers

the answer to the question is the first answer choice

What is the horizontal and vertical shift for the absolute value function below f(x)=3[x+9]+6

Answers

We will see that we have a shift of 9 units to the left and 6 units upwards

How to identify the translations?

For any given function H(x), we define a vertical shift of N units as:

g(x) = H(x) + N.

If N > 0, the shift is upwards.If N < 0, the shift is downwards.

While a horizontal shift is written as:

g(x) = H(x + N).

If N > 0, the shift is to the left.if N < 0, the shift is to the right.

Here we know that:

f(x) = 3*|x + 9| + 6

If the original function was:

H(x) = 3*|x|

Then we can write:

f(x) = H(x + 9) + 6

So we have a shift of 9 units to the left and 6 units upwards.

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Eli read 1 book in 5 months If he read constantly how many books did he read?

Answers

Answer:

(life span - age when he started reading)/5months =number of books he read

Step-by-step explanation:

(life span - age when he started reading)/5months =number of books he read

4
Jake is the starting quarterback on his school's football team. He has completed 38 of his 79 passes this season. Which of the
following values is closest to his percentage of pass completions this season?
OA. 51%
OB. 48%
OC. 38%
OD. 30%
Reset
Submit
Session Timer: 7:52
Session Score:?
Please help

Answers

Answer: A) 51%

Step-by-step explanation:

We can estimate the percentage of pass completions by rounding both values. While estimation does not give an exact answer it will give one that is close.

38 rounds up to 40 and 79 rounds up to 80.

Now it is easier to divide.

40/80=1/2

1/2=50%

The closest answer to 50% is 51% which must be the answer.

Answer:

A)

Step-by-step explanation:

ASSIGNMENTS
COURSES
2.(-4)2
3.42
Assignment 5. Solving Equations with Exponents
Attempt 10 of 7
Evaluate each expression. Determine if the final simplified form of the expression is positive or negative
1.-42
NEXT QUESTION
SECTION

Answers

Answer:

-16, 16, 16

Step-by-step explanation:

1) -16

2) 16

3) 16

La diferencia de las medidas de dos ángulos suplementarios es 20% determina el complemento del menor de dichos ángulos

Answers

Smaller angle = 50
Larger angle = 130

Let smaller angle be x degree

=> larger angle= [tex]3x - 20[/tex]

Since these angles are supplementary , So

[tex]= > x + 3x - 20 = 180\\= > 4x = 200\\= > x = 50\\= > 3x - 20\\ = > 150 - 20 = 130[/tex]

So smaller angle would be 50 deg & larger angle would be  130 deg.

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What is x, the distance between points A and A'? D.15

Answers

The value of x that fills the coordinate are 7 or -5

Distance between two points

The formula for calculating the distance between two points is expressed as:

D = √(x2-x1)² +(y2-y1)²

Substitute the given coordinates

10 = √(15-7)² +(1-x)²

100 = 8²  +(1-x)²

(1-x)² = 100 - 64

(1-x)² = 36

1- x = -6

x = 7 or -5

Hence the value of x that fills the coordinate are 7 or -5

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Complete question

If the distance between two points (x, 7) and (1, 15) is 10, find the value of x.

A coin tossed 5 times. What is the probability of getting

i) All heads?

ii) All tails?

iii) Exactly 2 heads

iv) Exactly 3 tails

v) Exactly 1 head

vi) At least two heads

Answers

umm....... I think it was exactly 2 head

To which subsets of the Real Numbers does square root of 36 belong.

Answers

Answer:

The square root of 36 is a rational number. A rational number is a number that can be written as a fraction, a/b, where a and b are integers.

Answer:

Step-by-step explanation:

Hi, let me help you out.

The square root of 36 is 6.

6 belongs to the following subsets.

Natural Numbers (All numbers greater than 1, except fractions or decimalsWhole Numbers (All Natural Numbers + 0; fractions are still NOT included)Integers (All Whole Numbers + negative numbers; this set includes neither fractions nor decimals, like the two number sets aboveRational Numbers (All integers plus - wait for it - fractions & decimals!)

Overall, 6 belongs to 4 sub-sets.

__________________

Hope I helped! Best wishes.

___________________

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