A satellite system consists of 4 components and can function if at least 2of them are working. If each component independently works with probability 0.8, what is the probability the system will function?

Answers

Answer 1

Answer:

X follows binomial distribution with n=4, p=0.6, q= 0.4. To make the system function adequately, at least 2 components should work well.

Step-by-step explanation:

Hope this helps

Answer 2

Answer:

0.9728

Step-by-step explanation:

We have 2 options for the system to fail - no components work, or only one works.

The probability that no components work is:

[tex]0.2^4 = 0.0016[/tex]

The probability that one SPECIFIC component works and the others failed is:

[tex]0.2^3 \cdot 0.8 = 0.0064[/tex]

And because there's 4 components, the chance that EXACTLY ONE works but the others don't is:

[tex]4 \cdot 0.0064 = 0.0256[/tex]

So we sum the probabilities:

[tex]P_{failure} = 0.0016 + 0.0256 = 0.0272\\P_{works} = 1 - P_{failure} = 0.9728[/tex]


Related Questions

In the diagram below, AB is parallel to CD. What is the value of y?
A. 45
B. 55
C. 135
D. 65

Answers

Answer:

A. 45

- as AB and CD are parallel to each other, the value of y will be equal to 45° in CD

The value of y in the given diagram is 45.

Option A is the correct answer.

What are corresponding angles?

The angles that are in the same position on a given two parallel lines intersected by a transversal line are called the corresponding angles.

Corresponding angles are always equal.

We can also have alternate angles which are always equal.

We can also have alternate interior and exterior angles which are equal.

The angles on the same side make upto 180 degrees

We have,

Let the corresponding angle with y is m.

Now,

y = m

Now,

45 and m are opposite angles.

So,

m = 45

Now,

The corresponding angle with y is m.

This means,

y = m

y = 45

Thus,

The value of y is 45.

Learn more about corresponding angles here:

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In DEF, sin D = 24/26 What is cos E?

A. 24 26
B. 10 24
C. 10 26
D. 26 10​

Answers

Answer:

your answer will be option A. 24/26

Step-by-step explanation:

hope it helps....

In [tex]\triangle[/tex] DEF,  [tex]SinD = \frac{24}{26}[/tex] ,  then [tex]Cos \ E[/tex] will be equals to [tex]\frac{24}{26}[/tex] .

What are trigonometric ratios ?

Trigonometric ratios are defined as the sides and angles of a right-angled triangle are dealt with in Trigonometry.

We have,

[tex]\triangle[/tex] DEF,

[tex]SinD = \frac{24}{26}[/tex]

We know that,

[tex]SinD=\frac{Perpendicular}{Hypotenuse}=\frac{EF}{ED}[/tex]  and  [tex]CosE=\frac{EF}{ED}[/tex]

Using Pythagoras Theorem,

[tex]P^{2} +B^{2} =H^{2}[/tex]

i.e.

[tex]EF^2+FD^2=EF^2[/tex]

[tex]24^{2} +FD^2=26^2[/tex]

[tex]FD^2=676-576[/tex]

[tex]FD=10[/tex]

But when we look from [tex]\angle E[/tex] for [tex]Cos E[/tex] then,

[tex]CosE=\frac{EF}{ED}[/tex]

so,

[tex]CosE=\frac{24}{26}[/tex]

So, the value of    [tex]CosE=\frac{24}{26}[/tex] is derived using the Trigonometric ratios.

Hence, we can say that In [tex]\triangle[/tex] DEF,  [tex]SinD = \frac{24}{26}[/tex] ,  then [tex]Cos \ E[/tex] will be equals to [tex]\frac{24}{26}[/tex] .

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In this combined function, the domain is all real numbers for x except? (x+6) / (x-9)

-6
6
9
-9

Answers

To find the excluded values, equal the denominators and the divisor to.

The answer is 9

If f(x) = 3x - 1 and g(x) = x + 2, find (f+ g)(x).

Answers

Answer:

4x+1

Step-by-step explanation:

Since you're finding (f+g) (x), it means you are adding f(x) and g(x) together.

so you add: (3x-1) and (x+2)

combining like terms, you get 4x and 1, which means (f+g)(x)= 4x+1

Answer:

(f + g)(x) = 4x + 1

Step-by-step explanation:

(f + g)(x) - f(x) + g(x) = 3x - 1 + x + 2 = 4x + 1

The Roman Numeral MCM means​

Answers

Answer:

See explanation below

Step-by-step explanation:

The Roman Numeral MCM means 1900.

The first M is 1000, CM means 900 ==> 1000 + 900 = 1900

30 power of 2 muilpity by pie

Answers

Answer: 30^2 * pi = 2827.43.

30^2 is 900 and 900 times 3.14 is 2,826. Not the full Pi number.

HELP ME PLAESE I HAVE ASKED THE QUESTION LIKE 5000000 TIMES AND HAVE USED UP ALL MY POINTS, THE LEAST SOMEONE CAN DO IS JUST TRY PLSSSSS


Will choose brainliest :)

Answers

Answer:

try c.

Step-by-step explanation:

i hope this is the answer, good luck!

Select the correct answer Rita is making a beaded bracelet she has a collection of 160 blue beads 80 gray beads and 240 pink beads what is the estimated probability that Rita will need to pick at least five beads before she picks a gray bead from her collection use a table of randomly generated outcomes to answer the question each letter represents the first letter of the bead color 0.05 0.10 0.45 0.55

Answers

Answer:

the answer is .45 I am assuming

PLEASE HELP!!


What is the volume of A?

What is the height of B?

What is the volume of B?

What is the total volume?

Answers

The volume of A is 432
The height of B is 2
The volume of B is 40
The total volume is 472

I think that’s right, I’m truly sorry if it isn’t.

To find volume you multiple length • width • height
The height of A is 9 and the total height of both figures is 11
So 11-9 leave us with 2 high would be the height of figure B
The total volumes is what is assume are both figures’ volume combined
So 432+40= 472

What is the value of
2/3 + 3/7

Answers

Answer:

1 2/21

Step-by-step explanation:

:)))

23/21 or 1 2/21
I hope this helps!

PLEASE HELP ASAP!!!!!​

Answers

Answer:

A

Step-by-step explanation:

Answer:

i believe its A

Step-by-step explanation:

h(1)=-6 h(2)= 20 h(n)= h(n-2)+h(n-1) What is the value of h(3)?

Answers

9514 1404 393

Answer:

  14

Step-by-step explanation:

Use the formula with n=3.

  h(3) = h(3-2) +h(3-1)

  h(3) = h(1) +h(2)

  h(3) = -6 +20 . . . . . substitute the given values

  h(3) = 14

Pls help with this ASAP :)

Answers

Answer:

No Solution

Step-by-step explanation:

-8x - 2(7+2x) = -6(2x+5)

-12x - 14 = -12x - 30

-14 = -30, False

No Solution

No Solution is the Answer

#The extremities of the diagonal of a square are (1,1 )and (-2, -1).Obtain the two other vertices and the equation of a next diagonal.
#
find the area of the triangle with vertices(1,2),(2,3),and(4,5).what inference can you draw about the points from your upshot?​

Answers

Answer:

(i) (-3/2, 3/2) and (1/2, - 3/2)

6x + 4y = - 3

(ii) Points are col linear

Step-by-step explanation:

Let the coordinates of the point(lower) be (a, b) and that of upper be (x, y).

Using mid point formula,

Mid point of diagonal(using the given points) is:

= ( (-2+1)/2 , (-1+1)/2) = (-½ , 0)

Using (a, b) and (x, y) :

= ( (a+x)/2 , (b+y)/2 ) = (-1/2, 0)

Which means, a+x= -1 & b + y = 0

Therefore, x = - 1 - a & b = - y

Using distance formula, diagonal = √(-2-1)² + (-1-1)² = √13

Knowing the relation in diagonal and side, side = diagonal/√2 = √13/√2 = √(13/2)

Again using distance formula, diagonal = √13

=> √(x - a)² + (y - b)² = √13

=> (-1-a -a)² + (-b - b)² = 13

=> a² + b² + a = 3 ... (1) [solved directly]

Length of side = √(13/2)

=> √(a-(-2))² + (b-(-1))² = √(13/2)

=> a² + b² + 4a + 2b = 3/2 ...(2)

On solving (1) and (2):

a = 1/2 or -3/2, but a lies in 4th quadrant so a > 0, thus, a = 1/2

b = -3/2 or 3/2, but b lies in 4th quadrant so b < 0, b = -3/2

Therefore,

x = - 1 - a = -1 - 1/2 = -3/2

y = - b = - (-3/2) = 3/2

Vertices are (x, y) = (-3/2, 3/2) and (a, b) = (1/2, -3/2)

Equation is just a relation in y and x, for a relation:

Subtract (1) from (2):

3a + 2b = -3/2 => 6a + 4b = - 3

By merely replacing a, b by x, y

6x + 4y = -3 is the required equation

(ii):

Ar. of ∆ = ½ | 1(3 - 5) + 2(5 - 2) + 4(2 - 3) |

Ar. of ∆ = ½ | -2 + 6 - 4 | = 0

As the area of the ∆ is 0, the given points don't form ∆, they are col linear.

In the figure ,PS bisects angle RPT.If PS//QR then prove that:PQ=PR​

Answers

5839394849393959493933994493

2(20 - 3x) = x
[tex]ax {}^{2} + bx + c = 0[/tex]

Answers

Answer:

                   

Step-by-step explanation:

                                                                         

What two fractions have a sum of 3/5

Answers

Answer:

2/5+1/5=3/5

Step-by-step explanation:

What I think ur trting to say; Noah is thinking of two fractions that have the same sum of 3/5. Each fraction has a numerator of 1. What are the denimonitors of the fractions? Enter your answers in the box

answer

2 and 10

Solve for x. Round all answers to the nearest tenth.
27
30

Answers

Answer:

x = 39.3

Step-by-step explanation:

30^2 = 27^2 + AB^2

30^2 - 27^2 = AB^2

AB = 13.1

30÷90 = 13.1÷X

30x = 1179

x = 1179÷30

x=39.3

What is the value of x, and what is the missing angle?

NO LINKS, THEY WILL BE REMOVED

Answers

Answer:

x = 14

Missing angles: 33° and 57°

Step-by-step explanation:

(2x + 5) + (3x + 15) = 90° (complementary angles)

Add like terms

5x + 20 = 90

5x = 90 - 20

5x = 70

x = 70/5

x = 14

✔️Plug in the value of x to find each missing angle:

2x + 5 = 2(14) + 5 = 33°

3x + 15 = 3(14) + 15 = 57°

Eli has $640 to spend at a bicycle store for some new gear and biking outfits. Assume all prices listed include tax.
He buys a new bicycle for $356.89.
He buys 2 bicycle reflectors for $16.70 each and a pair of bike gloves for $27.47.
He plans to spend some or all of the money he has left to buy new biking outfits for $74.08 each.

Write and solve an inequality which can be used to determine o, the number of outfits Eli can purchase while staying within his budget.
(write the equation that you used to solve this )

Answers

Answer:

Step-by-step explanation:

First of all we have to discover how much he spent.

356.89 + 2(16.70) + 27.47 = $417.76

Now we have to find how much money he saved

640 - 417.76 = $222.24

the total cost of biking outfits must be eqaua or less than $222.24..

We know the price of a single outift so we can write this inequality:

74.08o ≤ 222.24

we can find o by dividing the two members of the inequality:

o ≤ 222.24/74.08  = 3

o≤ 3

this mean that he can buy 1, 2 or 3 outfits

Find the range, median, and mode of this stem and leaf plot. Please help I have no idea how to do this

Answers

what yung papi said

In science class, students are learning about organic compounds. An acetic acid
molecule is made of 2 carbon atoms, 2 oxygen atoms, and 4 hydrogen atoms.
What is the ratio of carbon atoms to all atoms in 2 molecules of acetic acid?
A 4:12
B 4:16
C 12:4
D 16:4

Answers

The answer is B) 4 : 16

Explanation:
RATIO FOR 1 MOLECULE OF ACETIC ACID:
2 carbon atoms : 2 oxygen atoms : 4 hydrogen atoms
Since its asking how many for 2 MOLECULES, we double the ATOMS (we multiply all by 2)
RATIO FOR 2 MOLECULES OF ACETIC ACID:
4 carbon atoms : 4 oxygen atoms : 8 hydrogen atoms
The question only asks for the ratio of carbon atoms to ALL atoms. To calculate all atoms, we add 4 + 4 + 8 = 16
So if there are 4 carbon atoms and the sum of all atoms is 16, out final ratio answer is:
B.) 4 : 16
Mark me brainliest please!!

Find each trig ratio.

Answers

Answer:

a) 12/13

b) 5/13

Step-by-step explanation:

sin k = 12/13

cos k = 5/13

Monitors manufactured by TSI Electronics have life spans that have a normal distribution with a standard deviation of 1800 hours and a mean life span of 14,000 hours. If a monitor is selected at random, find the probability that the life span of the monitor will be more than 16,141 hours. Round your answer to four decimal places.

Answers

Answer:

6

Step-by-step explanation:

iuiiiiuiuiuuuiuuuuuuuiuuuuii

My sister needs help with this problem

Can you post step by step
Thank you!

Answers

Answer:

D.

Step-by-step explanation:

When you replace the x and y in "2x-y" with (4,-2) its going to be 2(4)-(-2) and thats going to make it greater than 3.

Each day last week, Ms. Wilson walked 3/4 mile. What is the total distance, in miles, that Ms. Wilson walked in four days.

Answers

5.25 oooooooooooooooo

Answer:

3

Step-by-step explanation:

If I’m wrong sorry

But can I get brainlist

Can someone please help me?

Answers

9514 1404 393

Answer:

  20%

Step-by-step explanation:

A pie chart is constructed so that the angle represents the ratio that sector has to the whole. Here, you want to know the fraction ...

  English/Class = 72°/360° = 0.20 = 0.20×100% = 20%

20% of the students chose English.

Please help with this I don’t know how to work with slopes

Answers

Answer:

1/2x

Step-by-step explanation:

Slope is

Rise over run  In a fraction the rise is the numerator and the run is the denominator

From getting one point to another

You rise 1 and run 2

Which is the equivalent of 1/2

Answer:

Step-by-step explanation:

(-1, -4) (1, -3)

(-3 + 4)/(1 + 1) = 1/2

If you are just building your payment history, how many points from a perfect score will you possibly miss?
A. 297.5
B. 85
C. 255
D. 127.5

Answers

I think c maybe not sure or choose one who you think it is I am not 100% sure

Answer: 297.5

Step-by-step explanation:

Your credit history is 35% of your credit score. The highest points in credit is 850. Since you have no credit score, you would do (850)(0.35) which equals 297.5

I need a bit of help on this one.
Jason has two bags with 6 tiles each. The tiles in each bag are shown below:
There are 6 squares labeled with number's going from 1 to 6 from left to right
Without looking, Jason draws a tile from the first bag and then a tile from the second bag. What is the probability of Jason drawing the tile numbered 5 from the first bag and an odd tile from the second bag?


3/6
4/6
3/36
4/36

Answers

Answer:

4/36

Step-by-step explanation:

6x6=36/denominator

for second bag we need the highest Expectancies in a questionlike this so it would be 4 but for denominator we dont need highest expectancies we need a correct answer

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