Consider the following portion of an electric circuit with three relays. Current will flow from point a to point b if there is at least one closed path when the relays are activated. The relays may malfunction and not close when activated. Suppose that the relays act independently of one another and close properly when activated, with a probability of .9. Given that current flowed when the relays were activated, what is the probability that relay 1 functioned?

Answer:

Step-by-step explanation:

Answer:

1) 13

2) is

3) s/13

Step-by-step explanation:

It’s one adult to 13 students.  It IS proportional.

a=s/13

Answer:

x = 6.6, y = -6.8

Step-by-step explanation:

Subtract  3 x  from both sides of the equation.

y = 13 - 3x

4x + 3y = 6

Replace all occurrences of  y  with  13  −  3 x  in each equation.

-5x + 39 = 6

y = 13 - 3x

Solve for  x  in the first equation.

x = [tex]\frac{33}{5}[/tex] or 6.6

Replace all occurrences of  x  with 6.6  in each equation.

y = [tex]-\frac{34}{5}[/tex] or - 6.8

hope this helps, good luck :)

Answer:

n-5

Step-by-step explanation:

Answer:

11 1\3

Step-by-step explanation:

32÷3=11.33333333333333333333

Answer:

x = 20

Step-by-step explanation:

Each side would be 60. 60/3 would be 20. So x = 20

Answer:

x = 20

Step-by-step explanation:

Looking at the image you've posted here. We can see this triangle is equilateral. That also means 3x is 60°, as are the other two angles. All you really have to do is dividing both sides of the equation by 3 to get x to equal 20.

Julie has put a map of the United States on a coordinate grid.

Phoenix is at approximately (–2.4, -4.2) and Atlanta is at

approximately (2.9,-4.2).

Answer:

x=1

Step-by-step explanation:

3x+2(4x-4) = 3

3x+8x-8 = 3

11x-8 = 3

11x = 11

x = 11/11 = 1

The solution for x in the expression 3x + 2 (4x- 4) = 3 is,

⇒ x = 1

The given expression is,

⇒ 3x + 2 (4x- 4) = 3

We can simplify by apply distributive property and combine like term,

⇒ 3x + 2 (4x- 4) = 3

Apply distributive property,

⇒ 3x + 8x - 8 = 3

Combine like term,

⇒ 11x - 8 = 3

Add 8 both side,

⇒ 11x = 3 + 8

⇒ 11x = 11

Divide by 11,

⇒ x = 11 / 11

⇒ x = 1

Therefore, The solution for x in the expression 3x + 2 (4x- 4) = 3 is,

⇒ x = 1

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Answer:

15/8 minutes

Step-by-step explanation:

The inverse relationship implies the following equation.

[tex]t=\frac{k}{T}[/tex]

where k is a constant.

You are given a t and T that go together, so

[tex]2=\frac{k}{75}[/tex]

This implies that k=150.  Now you know that the relationship is

[tex]t=\frac{150}{T}[/tex]

Now substitute 80 for T to get the answer.

[tex]t=\frac{150}{80}=\frac{15}{8}[/tex][tex]t=\frac{150}{80}=\frac{15}{8}[/tex]

minutes.

It takes an ice cube of the same size to melt in 80f water 15/8 minutes.

We have given,

The time t  for am ice cube to melt. is inversely proportional to the

temperature T of the water in the ice cube is placed.

The inverse relationship implies the following equation.

[tex]t=\frac{k}{T}[/tex]

Where k is a constant.

You have given a  t and T that go together, so

[tex]2=\frac{k}{75}[/tex]

This implies that k=150.

Now you know that the relationship is

[tex]t=\frac{150}{T}[/tex]

Now substitute 80 for T to get the answer.

[tex]t=\frac{150}{80} =\frac{15}{8}[/tex]

It takes an ice cube of the same size to melt in 80f water 15/8 minutes.

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Answer:

First, we start with:

"Ram obtains 40% of the marks in a paper of 200 marks"

In this case, 200 marks represent the 100%

Then how much is the 40%?

we have the relations:

40% = X

100% = 200 marks

Now we can take the quotient of both equations:

(40%/100%) = X/200marks

(40%/100%)*200marks = X = 80 marks

So Ram obtained 80 marks.

Now we have:

"Shyam is ahead of Ram by 25% of Ram's marks"

Now the 100% is the number of marks that Ram has, this is:

100% = 80 marks

And Shyam has 25% more than that, then we have:

125% = X

Same as before, we take the quotient of both equations:

(125%/100%) = X/80 marks

1.25*80 marks = 100 marks.

Shyam has 100 marks.

The last part is (this is not written correctly, it says "one month", it should be "one-ninth")

"while Bhuvan is ahead of Shyam by one-ninth of his own marks."

if his own marks are X, we have the equation

X = 100 + (1/9)*X

X - 1/9*X = 100

X*(8/9) = 100

X = (9/8)*100 = 112.5

So Bhuvan has 112.5 marks

Answer:1/16

Step-by-step explanation:

Answer:

76.2 cm

Step-by-step explanation:

Do 30.48 / 12 to find the amount of centimeters per inch. 30.48 / 12 = 2.54

So, for ever inch, there are 2.54 cm. Now to find the amount of centimeters in thirty inches, do 2.54 x 30 = 76.2.

Answer:

56

Step-by-step explanation:

28x2=56

multiply 56x2=112

Add 112+124=236

Add 236+124=360

Answer:

-14(2x+1)

Step-by-step explanation:

Factor out the GCF, which is 14.

Answer:

-14(2x+1)

Step-by-step explanation:

this is a question on my math test and i got it write

18.4kg = 1840g

D = m / v

1840 / 923 = 1.993

Answer:

in ABC,if<B=90,then AB^2+BC^2=AC^2

Step-by-step explanation:

the third option

i did that khan assignment

The appropriate rephrase statement to proof the Pythagorean theorem is

In ΔABC , if ∠B = 90°, then AB² + BC² = AC²

Pythagoras's theorem is used to calculate the sides of a right angle triangle. The formula is represented as follows

where

c = hypotenuse

a and b are either adjacent or opposite sides of the triangle.

A right angle triangle is a triangle that has one angle as 90°. Therefore, from the triangle below, the appropriate rephrase statement to proof Pythagoras theorem is as follows:

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Answer:

y + 1 = -3(x - 10)

General Formulas and Concepts:

Algebra I

Point-Slope Form: y - y₁ = m(x - x₁)

Step-by-step explanation:

Step 1: Define

Slope m = -3

Point (10, -1)

Step 2: Write Function

Substitute in variables into general form.

y - -1 = -3(x - 10)

y + 1 = -3(x - 10)

Answer:

C. 16 7/18

Step-by-step explanation:

First find the least common denominator for the fractions: 36

Change the fractions: 15 20/36 + 30/36

Add the fractions: 20/36+30/36=50/36

Turn into proper fraction: 16 14/36

Simplify: 16 7/18

Answer:

(2, 2)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define Systems

y = x

y = -x + 4

Step 2: Solve for x

Substitution

Step 3: Solve for y

Answer:

(3,12)

Step-by-step explanation:

y = 3x + 3

y = 6x -6

x = 3

y = 12

= (3,12)

Answer:

All you have to do, is find an x that if used in both equations, both equal the same y.

3 x 3 + 3 = 12

6 x 3 - 6 = 12

So, the only thing here is (3, 12)

Step-by-step explanation:

Answer:

their was no growth rate it lost 53,500 in those 15 years at a rate of about 3,566 a year

Step-by-step explanation:

The growth rate is the percentage increase and it is the increase with respect to the original thus growth rate will be 28.84%.

The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.

The percentage is also called the indicating hundredths. Thus, 2% is two-hundredth, which means 2%=2/100=0.02.

As per the given,

The cost in 2000 is $185500

Cost in 2015 is $132000

Change or increase = (185500  - 132000)

% increase = change/original

% increase = (185500  - 132000)/185500 = 28.84%

Hence "The growth rate is the percentage increase and it is the increase with respect to the original thus growth rate will be 28.84%".

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Answer:

Step-by-step explanation:

You are given the equation g(x)=5x-2. You simply take the values given and put those values into the equation.

g(-4)=5(-4)-2=-20-2=-22

g(-7)=5(-7)-2=-35-2=-37

g(0)=5(0)-2=-2

g(23)=5(23)-2=115-2=113

g(38)=5(38)-2=190-2=188

Answer:

[tex]V=1398.4\ cm^3[/tex]

Step-by-step explanation:

Given that,

Pardeep has a rectangular sheet of paper of size 44cm x 20cm. He rolled it  along its breadth and a cylinder is formed.

When he rolled it  along its breadth, 20 is equal to circumference i.e.

20 = 2πr

r is radius of base of cylinder

r = 3.18 cm

44 cm will be height of the cylinder.

The volume of the cylinder is given by :

[tex]V=\pi r^2 h\\\\V=\dfrac{22}{7}\times (3.18)^2 \times 44\\\\V=1398.4\ cm^3[/tex]

So, the volume of the cylinder is [tex]1398.4\ cm^3[/tex].

Answer: It depends on how many times Tyrell wants to reserve the court. Sorry but there's not enough info to solve rn

Hope this helps! <3

Answer:

1. 0.5%

2. 3%

3. 20%

4. 250%

5. 500%

hope this helps have a blessed day :)

Answer:

y = -¼x + (-6)

Step-by-step explanation:

I was summoned?

Answer:

(-5, 0)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Distributive Property

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define Systems

4x - 3y = -20

-x - 8y = 5

Step 2: Rewrite Systems

-x - 8y = 5

Step 3: Redefine Systems

4x - 3y = -20

x = -8y - 5

Step 4: Solve for y

Substitution

Step 5: Solve for x

Answer:

x = -5

y = 0

Step-by-step explanation:

4x-3y=-20

-x-8y=5  then x = 8y-5

substitute for x

4(8y-5)-3y = -20

32y-20-3y = -20

29y = 0

y = 0

4x-0 = -20

x = -5