If copies of all your computer data are stored on four independent hard disk​ drives, what is the probability that during a​ year, you can avoid catastrophe with at least one working​ drive? With four hard disk​ drives, the probability that catastrophe can be avoided is

Answers

Answer 1

Answer:

[tex]P(Atleast\ 1) = 0.9999992[/tex]

Step-by-step explanation:

Given

[tex]p = 3\%[/tex] --- rate of hard disk drives failure

[tex]n = 4[/tex] --- number of hard disk drives

See comment for complete question

Required

[tex]P(Atleast\ 1)[/tex]

First, calculate the probability that the none of the 4 selected is working;

[tex]P(none) = p^4[/tex]

[tex]P(none) = (3\%)^4[/tex]

[tex]P(none) = (0.03)^4[/tex]

Using the complement rule, the probability that at least 1 is working is:

[tex]P(Atleast\ 1) = 1 - P(none)[/tex]

This gives:

[tex]P(Atleast\ 1) = 1 - 0.03^4[/tex]

[tex]P(Atleast\ 1) = 0.9999992[/tex]


Related Questions

In ΔVWX, the measure of ∠X=90°, XW = 20, WV = 29, and VX = 21. What ratio represents the cosine of ∠W?

Answers

20/29

That would be the answer

Given f(x) = 19x + 12 , find f(3)
F(3)= ?

Answers

Answer:

69

Step-by-step explanation:

to find f(3), we'll have to substitute x with 3

therefore,

f(3) = 19 × 3 + 12

= 57 + 12

= 69

Answer:

f ( 3 ) = 69

Step-by-step explanation:

Given :-

f ( x ) = 19x + 12.

To find :- f ( 3 ) = ?

Solution :-

f ( x ) = 19x + 12.

Substitute as the 3 as x

f ( 3 ) = 19 ( 3 ) + 12

Multiply ; 19 × 3

f ( 3 ) = 57 + 12

Add 57 and 12

f ( 3 ) = 69

nate and laura picked 20 apples laura picked 1/2 of what nate picked
how many did nate pick?

Answers

Answer:

10

Step-by-step explanation:

20÷2=10 the half of 20 is 10 simple as that

Answer:

ok so together they picked 20 apples so

20=y+1/2y

y=40/3 or 13 1/3

thats how many nate picked and we divide by 2

6 2/3

Hope This Helps!!!

6. Write two rational numbers which are their own reciprocals ?

Answers

1 and -1 are the only rational numbers which are their own reciprocal.[tex] \: [/tex]


Drag each expression to the correct category.
Apply the produc rules to determine the sign of each expression.

Answers

[tex]( - \frac{4}{9} )( \frac{7}{4} ) = \: \: negative [/tex]

[tex]( - 2 \frac{3}{4} )( - 1 \frac{1}{5} ) = \: \: positive[/tex]

[tex](3)( - 3)( - 3)( - 3)( - 3) = \: \: positive[/tex]

[tex]( - \frac{1}{6} )( - 2)( - \frac{3}{5} )( - 9) = \: \: positive[/tex]

[tex]( - \frac{4}{7} )( - \frac{3}{5} )( - 9) = \: \: negative[/tex]

[tex]( - \frac{10}{7} )( \frac{8}{3} ) = \: \: negative[/tex]

Find the area of the triangle bounded by the lines y=x y=-x and y=6.

Answers

S=6*12=72

High of triangle is 6

The area of the triangle bounded by the lines y=x y=-x and y=6 is 36 units.

What is area of triangle?

The formula for finding area could be represented in the form of determinants as given below.

[tex]A = \frac{1}{2} \left[\begin{array}{ccc}x1&y1&1\\x2&y2&1\\x3&y3&1\end{array}\right][/tex]

First, we need to find the coordinates of the point of intersection of these lines.

y = x

y = -x

Adding the two equations,

2y = 0

y = 0

x = 0

coordinate: (0, 0)

y = x

y = 6

Subtracting the two equations,

0 = x - 6

x = 6

coordinate: (6, 6)

y = -x

y = 6

Subtracting the two equations,

- x - 6 = 0

x = -6

coordinate: (-6, 6)

Calculating area of triangle bounded by the given line:

Area of triangle =

[tex]\frac{1}{2}\left[\begin{array}{ccc}0&0&1\\6&6&1\\-6&6&1\end{array}\right][/tex]  =  [tex]\frac{1}{2} (36 + 36) = \frac{72}{2} = 36[/tex]

Learn more about area of triangle here

https://brainly.com/question/19305981

#SPJ2

IM BEGGING PLEASE I NEED THE ANSWER TO THIS :C

Answers

Answer:

The answer is D.

Step-by-step explanation:

A candy bar box is in the shape of a triangular prism. The volume of the box is 1,200 cubic centimeters.

Answers

Answer:

[tex]Height = 12cm[/tex]

Step-by-step explanation:

Given

[tex]Volume = 1200cm^3[/tex]

The dimension of the base is:

[tex]Base =10cm[/tex]

[tex]Sides = 13cm[/tex]

See comment for complete question

Required

The height of the base

To do this, we make use of Pythagoras theorem where:

[tex]Sides^2 = (Base/2)^2 + Height^2[/tex]

So, we have:

[tex]13^2 = (10/2)^2 + Height^2[/tex]

[tex]13^2 = 5^2 + Height^2[/tex]

[tex]169 = 25 + Height^2[/tex]

Collect like terms

[tex]Height^2 = 169 - 25[/tex]

[tex]Height^2 = 144[/tex]

Take square roots of both sides

[tex]Height = 12cm[/tex]

PLS HELP (algebra 1)


solve -6 + 8(16 - 19z)

Answers

Answer:

122-152z

Step-by-step explanation:

-6+ 8(16 - 19z)

= -6 + 128 - 152z

= 122 - 152z

I hope this helps!

Find the value of x in x + y= 9 and x - y= 3.
6
-6
3
-3

Answers

x + y= 9 and x - y= 3

rearrange the second equation:

x - y= 3

x = 3 + y

x -3 = y

substitute y with "x-3" in the first equation and solve

x + y= 9

x + (x-3)= 9

2x -3 = 9

2x = 12

x = 6

you could also start with the first equation and substitute y in the second.

graphically speaking, it's the intersection point of to lines, at least the six-part of the point.

In AJKL, mZJ = (8x + 6)", mZK = (2x + 2)°, and młL = (4x + 4)º. Find m_L.​

Answers

Answer:

Step-by-step explanation:

∠J + ∠K + ∠L = 180   {Angle sum property of triangle}

8x + 6 + 2x + 2 + 4x + 4 = 180

8x + 2x + 8x + 6 + 2 + 4 = 180

Combine like terms.

14x + 12 = 180

Subtract 12 form both sides

14x = 180 - 12

14x = 168

Divide both sides by 14

x = 168/14

x = 12

∠L = 4x + 4

    = 4*12 + 4

    = 48 + 4

L = 52

Use the quadratic formula to find both solutions to the quadratic equation
given below.
3x2 - x + 4 = 0

Answers

Answer:

[tex]x = \dfrac{1 + i\sqrt{47}}{6}[/tex]   or   [tex]x = \dfrac{1 - i\sqrt{47}}{6}[/tex]

Step-by-step explanation:

[tex] x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a} [/tex]

We have a = 3; b = -1; c = 4.

[tex] x = \dfrac{-(-1) \pm \sqrt{(-1)^2 - 4(3)(4)}}{2(3)} [/tex]

[tex]x = \dfrac{1 \pm \sqrt{1 - 48}}{6}[/tex]

[tex]x = \dfrac{1 \pm \sqrt{-47}}{6}[/tex]

[tex]x = \dfrac{1 + i\sqrt{47}}{6}[/tex]   or   [tex]x = \dfrac{1 - i\sqrt{47}}{6}[/tex]

Find the measure of DA

Answers

Answer:

15

Step-by-step explanation:

First, find x

set your formula up as 3x+5=6x-10, since AB and DC are the same length.

This means x = 5

Now substitute 5 for x in the line DA

4x-5

4 * 5 - 5 = 15

How do i solve this help me

Answers

Answer:

-24

Step-by-step explanation:

First substitute

(6x8)/-2

Then solve

48/-2=-24

-24

Answer:

[tex]-24[/tex]

Step-by-step explanation:

The value of y is given as 8

The value of z is given as -2

The expression given is [tex]\frac{6y}{z}[/tex]

Substitute the value of y as 8 & z as -2 in the brackets:

[tex]=\frac{6(8)}{-2}[/tex]

[tex]=\frac{48}{-2}[/tex]

[tex]=-24[/tex]

hope this helps....

which of the following numbers has the least number of positive divisors if a=50^(100) . choose: 1)25a 2)4a 3)3a 4)26a 5)10a​

Answers

Answer:

the answer would have to be B

Step-by-step explanation:

Can someone help me with this question please. I've been struggling.

Write the equation of the line of reflection​

Answers

Answer:

y=-1

Step-by-step explanation:

Since we see an overlap, the line must cross through the original image.We can solve the equation of the line of reflection by realizing there is no slope because the reflection is parallel to the x-axis.

Find the value of x that makes A || B

HELPPPPP

Answers

Answer:

x = 90

Step-by-step explanation:

If lines A and B were parallel , then

∠ 1 and ∠ 4 are corresponding angles and congruent, so

3x - 160 = x + 20 ( subtract x from both sides )

2x - 160 = 20 ( add 160 to both sides )

2x = 180 ( divide both sides by 2 )

x = 90

18
Select the correct answer.
Which function is a horizontal translation of the parent quadratic function, f(x)=x^2
A. j(x)= x^2- 4
B. g(x)= (x-4)^2
C. k(x)= -x^2
D. h(x)= 4x^2

Answers

Answer:

B

Step-by-step explanation:

When we have a horizontal translation on the x-axis, it means the translation in question would be affecting only the x component of our function

With respect to the question, what we have here is that we are going to take out some values from x (or add some values) to it

Thus;

f(x) = x^2 would be;

g(x) = (x-4)^2

Corresponding to a shift to the right of upto 4 units on the x axis

Answer:

g(x)= (x-4)^2

Step-by-step explanation:

Plato/Edmentum

Mary ran 2 miles in about 23 minutes If she continued at the same pace how long will it take her to run 10 miles?

Answers

It will take Mary 115 minutes/ 1 hour and 55 minutes to run 10 miles.

5/8 divided by 8 please help man I will give the brainly thing \y

Answers

Answer:

5/64

Step-by-step explanation:

5/8 : 8 = 5/8 * 1/8 = 5/64

Answer:

12 4/5

Step-by-step explanation:

simplified

helppppppppppppp plzzzzz

Answers

the answer is in the picture

Someone please answer this

Answers

Answer:

(x - 1)(5x - 6)

Step-by-step explanation:

Given

5x² - 11x + 6

Consider the factors of the product of the coefficient of the x² term and the constant term (ac) which sum to give the coefficient of the x- term (b)

ac = 5 × 6 = 30 and b = - 11

The factors are - 5 and - 6

Use these factors to split the x- term

5x² - 5x - 6x + 6 ( factor the first/second and third/fourth terms )

= 5x(x - 1) - 6(x - 1) ← factor out (x - 1) from each term

= (x - 1)(5x - 6)

PLS HELP ASAP¡!!!

solve for f(3) if
f(x)=x^3+2x^2-x-1

Answers

f(3) = 3^3 + 2(3)^2 - 3 - 1
= 41

Using the table below, what is the rate of change? Don't forget to include your units.
Number of sodas 24
28
32
36
Total Cost ($)
18
21
24
27

Answers

Answer:

0.75

Step-by-step explanation:

Given the table :

Number of sodas 24

28

32

36

Total Cost ($)

18

21

24

27

The rate of change :

Rate of change = Rise / Run

Rise = y2 - y1 ; Run = x2 - x1

From the table :

Take number of sodas as X - axis

Total cost as Y - axis

Taking the points :

(24, 18) ;(36, 27)

x1 = 24 ; x2 = 36

y1 = 18 ; y2 = 27

Rise = (y2 - y1) = (27 - 18) = 9

Run = (x2 - x1) = (36 - 24) = 12

Rate of change = 9 / 12 = 0.75

series calcular s=1+2+3+....+86

Answers

Answer:

S = 3741

Step-by-step explanation:

Here, we want to calculate the sum of the first 86 numbers (starting from 1)

Mathematically, we can use the formula;

Sn = n/2[ a + L]

Where n is the number of terms (86 here)

a is the first term which is 1 and L is the last term which is 86

So, we have the sum as;

Sn = 86/2(1 + 86) = 43 * 87 = 3741

Are the two triangles similar. If so, State how

Answers

Answer:

Yes by AAA

Step-by-step explanation:

Angle A is the same for both triangles. Angle D is congruent to Angle A since BC and DE are parallel lines and same with angle E. So by AAA the triangles are similar

The sum of three consecutive odd numbers is 63. What are the numbers?​

Answers

19,21,23. Adding all of these consecutive odd numbers is equal to 63

Answer:

19, 21 and 23

Step-by-step explanation:

→ Make an algebraic expression for the 3 consecutive numbers

2x + 1, 2x + 3 and 2x + 5

→ Add the expressions together and make it equal to 63

2x + 1 + 2x + 3 + 2x + 5 = 63

→ Simplify

6x + 9 = 63

→ Minus 9 from both sides

6x = 54

→ Divide both sides by 6

x = 9

→ Resubstitute x = 9 into the 3 expressions

x = 9 into 2x + 1 is 19

x = 9 into 2x + 3 is 21

x = 9 into 2x + 5 is 23

On vacation, Tim plans to spend less than $30 a day. If he spends $12 for food, what is the greatest number of dollars he can spend per day on other things? (Express in whole dollars.) Write an inequality and solve.

Answers

Answer:

So, Tim spent maximum $ 18 dollars on other things

Step-by-step explanation:

Total spent per day is less than $ 30.

Money spent on food= $ 12

So, the maximum amount amount spent on the things is

= $ 30 - $ 12 = $ 18

So, Tim spent maximum $ 18 dollars on other things.

If 4/3 . sin42⁰ = x then 4/3 . cos48⁰ = ?​

Answers

Step-by-step explanation:

If 4/3 . sin42⁰ = x then 4/3 . cos48⁰ = ?

so it's that

PLEASE ANSWER HURRY!!


What is 2.16 (6 is repeating) to a fraction??

Answers

2 1/6, I would explain but you seem in a hurry, have a great day! :)

Answer:

[tex]2\frac{1}{6}[/tex]

Step-by-step explanation:

let x=2.16666...

10 x=21.666...(1)

100 x=216.666...(2)

(2)-(1) gives

90x=195

6x=13

x=13/6

x=2 1/6

Other Questions
find H.C.F OF 4xy and xy you have faced / witness an act of bullying in your school write a letter to the principal of your school reporting the incident Hereditary fructose intolerance is a genetic condition caused by a variant in the ALDOB gene, which is critical for fructose metabolism. Infants with this condition do not initially display symptoms, but as they are transitioned from breast milk or formula to solid foods, in particular fruit-based foods, they begin to display symptoms, which include vomiting, diarrhea, and low blood sugar. Individuals who do not consume fructose do not display these symptoms. Which of the following describes this condition?a. It is incompletely penetrant, due to environmental factors.b. It has variable expressivity, due to environmental factors.incorrectc. It is incompletely penetrant, due to genetic factors.d. It has variable expressivity, due to genetic factors. Express 18 hours to 2 days in its lowest term what is the solution to the equation below? sqrt x-7 = 5A. 144B. 12 C. 2D. 4 One of the unique things about Confucius' school was that he taught individuals of all social classes, including those ofthe lower classes.O TrueO False Find the following ratios. PLEASE HELP QUICK!! 100 point question bc I'm generous pls explain A(3, 7), B(5, 7), C(3-7), D(5, -7) what is the area ? common words you hear about politics The largest third party with over 75,000 followers? Find the Value of y. 70 60 65 40 find the two intersection points(x+1)^2 +(y+2)^2 = 163x+ 4y = 1Show your steps please Bagmati Province is more developed than other provinces? What are possible reasons? Mention any six of them. how does the coconut tree have a fibrous, when the tree is strong,but the plants that have fibrous root r week,how is it possible? expalin singal blind Why is water important in humans life explainplease explain gyz Please help explanation if possible Hassan drove 78 miles in 1 hours. If he drove at a constant rate, how far did hetravel in one hour? Enter your answer as a whole number, proper fraction, or mixednumber in simplest form. 1-Nosotros ______ (necesitar) mas tiempo.2-Mi madre Answer (ponerse) enojada cuando no la llamo3-l no Answer (acordarse o - ue).4-Necesito Answer (lavar) mi carro.5-Yo Answer (nadar) en la playa con mis amigos.6-Antes de Answer (viajar) es necesario empacar una maleta.7-Cmo Answer (sentirse e - ie) t?Muchas mujeres Answer (maquillarse) antes de salir.Yo estudio mucho para Answer (sacar) una A en mi clase.Usted siempre Answer (tener e - ie) el razn.Yo nunca voy a Answer (olvidar) mi pasaporte otra vez.Quieres Answer (bailar) conmigo?Los perros Answer (comer) todo.Mi nova Answer (tomar) muchas fotos cuando viajamos.Los pjaros Answer (volar o - ue).Las personas normalmente Answer (casarse) en una iglesia.Yo no Answer (entender e - ie) porque necesito tomar esa clase.conjugate the following verbs in the present progressive tense.En este momento yo Answer (hacer) mi tarea.Mi madre Answer (cocinar). Huele deliciosa.Ahora no pueden porque Answer (trabajar)Nosotros Answer (pensar) en ir a Florida.Cmo est mi hija? Ella Answer (divertirse e - ie)?