Find the circumference of the object Use 3.14 or 22 for for T. Round to the nearest hundredth if necessary 11.4 in. The circumference is about inches​

Answer:

a) 0.1536 = 15.36% probability that exactly two of the four components last longer than 1000 hours.

b) 0.9728 = 97.28% probability that the subsystem operates longer than 1000 hours.

Step-by-step explanation:

For each component, there are only two possible outcomes. Either they fail in less than 1000 hours, or they do not. The probability of a component failing in less than 1000 hours is independent of any other component. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

One subsystem has four identical components, each with a probability of 0.2 of failing in less than 1000 hours.

Four components means that [tex]n = 4[/tex]

Probability of 0.2 of failling means that 1 - 0.2 = 0.8 probability of not failling, so [tex]p = 0.8[/tex]

a) Find the probability that exactly two of the four components last longer than 1000 hours.

This is [tex]P(X = 2)[/tex]. So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 2) = C_{4,2}.(0.8)^{2}.(0.2)^{2} = 0.1536[/tex]

0.1536 = 15.36% probability that exactly two of the four components last longer than 1000 hours.

b) Find the probability that the subsystem operates longer than 1000 hours.

It will operate if at least two compoents last longer than 1000 hours. So

[tex]P(X \geq 2) = P(X = 2) + P(X = 3) + P(X = 4)[/tex]

In which

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 2) = C_{4,2}.(0.8)^{2}.(0.2)^{2} = 0.1536[/tex]

[tex]P(X = 3) = C_{4,3}.(0.8)^{3}.(0.2)^{1} = 0.4096[/tex]

[tex]P(X = 4) = C_{4,4}.(0.8)^{4}.(0.2)^{0} = 0.4096[/tex]

[tex]P(X \geq 2) = P(X = 2) + P(X = 3) + P(X = 4) = 0.1536 + 0.4096 + 0.4096 = 0.9728[/tex]

0.9728 = 97.28% probability that the subsystem operates longer than 1000 hours.

Answer:19

Step-by-step explanation:perimeter is everything added since it’s a rectangle 10 on both length sides will be 20 so 58-20 is 38 divide that by 2 and that’s your answer.

Answer:

8h=p

Step-by-step explanation:

P is pay

H is hour

u make 8 dollars for an hour, so for h hours it would be 8h

Answer:

n-5

Step-by-step explanation:

Answer:

Area = 40 cm²

Step-by-step explanation:

Area of triangle is derived by the formula,

Area = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]

Length of Base = 8 cm

Height of the triangle = 10 cm

Therefore, area of the given triangle = [tex]\frac{1}{2}(8)(10)[/tex]

                                                             = 40 cm²

9514 1404 393

Answer:

  Chun is correct

Step-by-step explanation:

The angle bisector divides the sides of the triangle proportionally. Any proportion that is written should equate ratios of corresponding sides.

Chun's proportion correctly relates the top-side measures to their corresponding bottom-side measures:

  top short : bottom short = top long : bottom long

  5 / 8 = 15 / x

__

Traci's error is that she mixes top-side and bottom-side measures. Her incorrect relation is ...

  top short : bottom long = bottom short : top long

She has used top:bottom for short measures and bottom:top for long measures. This mixing will give Traci an incorrect solution.

__

Chun's proportion correctly gives x=24.

Answer:

Step-by-step explanation:

Chun; by the Triangle Angle Bisector Theorem, the correct proportion is  58=15x.

Answer:

B: x = -5

Step-by-step explanation:

Answer: 9 hours

Step-by-step explanation:

13.5 hours / 1.5 hours = 9 hours

Answer:

513

Step-by-step explanation:

549- 36 = 513

Answer:

x = -5

Step-by-step explanation:

move the variable tothe left hand side change the sign

-x-7= -2

Calculate the sum

-x =5

change the sign on both of the equations

x =

Answer:

Step-by-step explanation:

<2, <3, <6 have the measure of 135 degrees

Answer:

Step-by-step explanation:

Circumference is 2pir

So 14pi meters

Answer:

5.34 pages/h

Step-by-step explanation:

4/45 = p/60

p ≈ 5.34

Answer:

Step-by-step explanation:

3/4 of an hour is the same as 0.75

Write a proportion.

4 (pages)/0.75 (hours)=p(pages)/1 hour

Cross multiply and divide

(4x1)÷0.75=5.33 (rounded to the nearest hundred)

p=5.33

Marcia can type 5.33 pages per hour.

Answer:

acceleration

Explanation:

Newtons second law: "Force is equal to the change in momentum per change in time. For a constant mass, force equals mass times acceleration."

Answer:

Step-by-step explanation:

C

Answer: A

Step-by-step explanation:

There u go

Answer:

6.633249581 and I would say it's irrational

Step-by-step explanation:

:)

Answer:

Square root of 3

Step-by-step explanation:

Answer:

can you help me with this math am not good enough

Answer:

2500

Step-by-step explanation:

50020%50020%

Convert 20%20% to a decimal.

5000.25000.2

Divide 500500 by 0.20.2.

2500

Answer:

Speed = distance / time

= 6/3 =2 ft/sec

Time = distance / speed

= 60/2

= 30 seconds

Answer:

x = 32 is incorrect

Step-by-step explanation:

[tex]32 = \frac{1}{2} (x + 16) \\ \\ 32 \times 2 = x + 16 \\ \\ 64 = x + 16 \\ \\ x = 64 - 16 \\ \\ x = 48 \\ \\ y =360-(48+114 + 16) \\ \\ y =360-178 \\ \\y = 182 \\ \\ 4 \times n = 6 \times 3 \\ \\ n = \frac{18}{4} \\ \\ n = 4.5[/tex]

Answer:

11. 78

12. 4x² - 3x - 1

Step-by-step explanation:

11. Sum of n whole numbers = ½(n² + n)

Multiply

½*n² + ½*n

= n²/2 + n/2

To find the sum of the first 12 whole number, substitute 12 for n into the equation.

= 12²/2 + 12/2

= 144/2 + 12/2

= 72 + 6

= 78

12. Area of trapezoid = ½(a + b)*h

Where,

a = 5x - 4

b = 3x + 2

h = x + 1

Area = ½(5x - 4 + 3x + 2)*(x + 1)

Area = ½(8x - 2)*(x + 1)

Area = ½[8x(x + 1) -2(x + 1)]

= ½[8x² + 8x - 2x - 2]

Add like terms

= ½(8x² - 6x - 2)

= ½(8x²) - ½(6x) - ½(2)

= 4x² - 3x - 1

Answer:

13/8

Step-by-step explanation:

Answer:

You can try searching it up or going to math.way

Step-by-step explanation:

Answer:

The answer is $3.09

Step-by-step explanation:

Hope this helps

Answer:

greater than lol

Step-by-step explanation:

Answer:

5/7 is grater than 2/8

Step-by-step explanation:

5/7 = 0.714

2/8 = 0.25

therefore 5/7 is grater than 2/8