If the switches at 2, 3, 4, and 5 are independently closed or open with probabilities 0.1 (for closed) and 0.9 (for open), what is the probability of a closed path between the input line on the left and the output line on the right

Answer:

[tex]y=2x+5[/tex]

Step-by-step explanation:

Hi there!

Slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when x is 0)

1) Determine the slope (m)

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex] where two given points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]

Plug in the given points (-3,-1) and (1,7)

[tex]m=\frac{7-(-1)}{1-(-3)}\\m=\frac{7+1}{1+3}\\m=\frac{8}{4}\\m=2[/tex]

Therefore, the slope of the line is 2. Plug this into [tex]y=mx+b[/tex]:

[tex]y=2x+b[/tex]

2) Determine the y-intercept (b)

[tex]y=2x+b[/tex]

Plug in one of the given points and solve for b

[tex]7=2(1)+b\\7=2+b[/tex]

Subtract 2 from both sides to isolate b

[tex]7-2=2+b-2\\5=b[/tex]

Therefore, the y-intercept is 5. Plug this back into [tex]y=2x+b[/tex]:

[tex]y=2x+5[/tex]

I hope this helps!

Answer:

the first one its true

y of A greater than the y of B

Answer:

The scatter plot is attached in the image

There exists a positive linear relationship between the two variables i.e sales and advertisements.

Step-by-step explanation:

The scatter plot is attached in the image

There exists a positive linear relationship between the two variables i.e sales and advertisements.

Answer:

ans : option 2nd

Step-by-step explanation:

total angle substand perimeter of circle so,

so solve by using unitary methods

Answer:

497,725

just subtract smallest from largest to get the difference

724,435 - 226,710

Answer:

Answer:

Domain: 2<x<7

Range: 1<y<2

Step-by-step explanation:

Range is the y value but domain is the x value

Mark me Brainliest if this works! Thanks!

( 2, 1 ) and ( 7, 2)

Domain - 2 and 7

Range - 1 and 2

I hope you understand...

Mark me as brainliest...

Answer:

diameter [d]=15cm

radius [r]=7.5cm

slant height be l

and

height be h.

lateral surface area of cone =

πrl=477cm²

l=477/(3.1416*7.5)

l=20.244

now

h=[tex]\sqrt{20.2²-(7.5/2)²}=20cm[/tex]

height=20cm.

LSA of cone = πrl = 477cm²

L = 477/(3.1416 × 7.5)

L = 20.244

Height (h) = √{20.2²-(7.5/2)²}

h = 20cm

Answer:

46

Step-by-step explanation:

Answer:

c. 46

Step-by-step explanation:

On Edge

Answer:

15 commercials

Step-by-step explanation:

6 commercials --> 24 minute

x commercials --> 60 minute(1 hour)

x*24 = 6*60

clear x

x = (6*60)/24

x= 15

Answer:

A)$60

B)$9

Step-by-step explanation:

THIS IS THE COMPLETE QUESTION BELOW

Three friends, Cleopatra, Dalila, and ebony fo shopping. The money they have each is in the ratio

Cleopatra : Dalila : Ebony =

5 : 7 : 8

Cleopatra has $15.

A) How many dollars do they have in total?

B) Dalila spends 12$ on a hat, how many dollars does she have left?

A)

Total ratio=(5 +7 +8)= 20

Cleopatra has $15.

Let X = total money

Ratio of Cleopatra= 5/20 ×X=15

5X /20 = 15

5X= (15×20)

X= $60

They have $60 in total

B) ratio of Dalila= 7/20 × 60 = $21

But 12$ was spent by Dalila on a hat

Then Dalila will have ($21 - 12$) Left

= $9

9514 1404 393

Answer:

  7 1/75 football fields

Step-by-step explanation:

Multiply it out. The units of feet and yards cancel, leaving football fields.

  = (2104·1·1)/(3·100) football fields ≈ 7.0133... football fields

  = 7 1/75 football fields

Answer:

A = [12 + 9(pi)] yd^2 = 40.3 yd^2

Step-by-step explanation:

A = area of triangle + area of semicircle

A = bh/2 + (pi)r^2

A = (6 yd)(4 yd)/2 + (pi)(3 yd)^2

A = 12 yd^2 + 9(pi) yd^2

A = [12 + 9(pi)] yd^2 = 40.3 yd^2

Answer: 3.33% (choice B)

===================================================

Work Shown:

A = true value = 60

B = estimated or measured value = 62

C = percent error

C = ( |A-B|/A ) * 100%

C = ( |60-62|/60 ) * 100%

C = (2/60)*100%

C = 0.0333*100%

C = 3.33%

The result is approximate.

Answer:

3.7821 (SDF)

Step-by-step explanation:

Take the number by 378 21 and place it in the right forms/place marks. Such as ones and tens place ect. Then there is your answer.

Answer:

i aint gon lie evolution and natural selection?

Step-by-step explanation:

Answer:

I only remember the funny thing my dad told me

Answer:

I don't know for sure, but I'm pretty sure its 1,640.

Step-by-step explanation:

80% of 8,200 is 6560, and then do 8,200- 6,560, you get 1,640.

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According to question, The price at which it was sold is equal to :

The car was sold at $ 6560

Now, loss is equal to :

Answer:

The answer is B: ( g o f) (x) = ( x + 1)^2

Explanation:

⟹ (g ∘ f) (x) = g [f (x)]

Replace x in g(x) = x^2 with x+1

= ( x + 1 ) ^2

Answer:

x = 3

Step-by-step explanation:

both angles together equal 180

Set your formula as

180 = 5x + 165

180 - 165 = 5x

15 = 5x

15/5 = x

3 = x

Answer:

[tex]x[/tex] = 3

Step-by-step explanation:

180° - 165° = 15°

[tex]5x[/tex] = 15

[tex]x[/tex] = 3

Answer:

no

the goal total would be too high

Step-by-step explanation: If Sadie had scored 4 goals, Connor would have scored 2 times 4 = 8 goals. Their goal total would then be 4+8 = 12, not 9. Sadie cannot have scored 4 goals.

__

If we let s represent the number of goals Sadie scored, then 2s is the number Connor scored. Their total is ...

 s + 2s = 9

 3s = 9 . . . . . . collect terms

 s = 9/3 = 3 . . . divide by the coefficient of s

Sadie scored 3 goals. (s=4 is not the solution to the problem)

Answer:

111.35

Step-by-step explanation:

effective rate: .085/12= .00708333333333

[tex]3000=x\frac{1-(1+.00708333333333)^{-30}}{.00708333333333}\\x=111.35[/tex]

Answer:

The value of x in the triangle is 17.51

Option C is the correct answer.

We have,

From the figure,

We can use the tangent function.

This means,

Tan = perpendicular / Base

i.e

tan 35 = x / 25

0.700 = x / 25

x = 0.700 x 25

x = 17.5

Thus,

The value of x in the triangle is 17.51.

Learn more about trigonometric identities here:

https://brainly.com/question/14746686

#SPJ6

Answer:

g(x) = |x| + 7

Step-by-step explanation:

Adding the constant +7 on the end of the equation means a translation 7 units up.

Answer:

The company needs to sell either 30 or 40 items.

Step-by-step explanation:

We are given that the cost for selling x items given by the function:

[tex]C(x)=40x+180[/tex]

And the revenue for selling x items is given by:

[tex]R(x)=68x-0.4x^2[/tex]

The profit function is the cost function subtracted from the revenue function:

[tex]P(x)=R(x)-C(x)[/tex]

Substitute and simplify:

[tex]\displaystyle \begin{aligned} P(x)&=(68x-0.4x^2)-(40x+180)\\&=68x-0.4x^2-40x-180\\&=-0.4x^2+28x-180\end{aligned}[/tex]

To find how many items must be sold in order to obtain a weekly profit of $300, we can let P equal 300 and solve for x. So:

[tex]300=-0.4x^2+28x-180[/tex]

Solve for x. Subtract 300 from both sides:

[tex]-0.4x^2+28x-480=0[/tex]

We can divide both sides by -0.4:

[tex]x^2-70x+1200=0[/tex]

Factor:

[tex](x-40)(x-30)=0[/tex]

Zero Product Property:

[tex]x-40=0\text{ or } x-30=0[/tex]

Solve for each case:

[tex]x=40\text{ or } x=30[/tex]

So, in order to obtain a weekly profit of $300, the company need to sell either 30 or 40 items.

The value of x is 84 degrees.

The tangent line to a circle  at a given point is the straight line that just touches the circle at the point.

A tangent to a circle is perpendicular to the radius at the point of tangency.

According to the question

we have to find the value of x.

Let us assume that a circle have a center at O. And Mark the end of the given chord P and Q.

Connect OP and OQ.

here,

OP = OQ

⇒∠OQP = ∠QPO

Now in triangle POQ, we have

⇒∠QOP + 2∠ OPQ = 180

⇒168 +2∠OPQ =180

⇒2∠OPQ = 12

⇒∠OPQ =6 degrees.

As we know that, tangent to a circle is perpendicular to the radius at the point of tangency.

⇒ x + ∠QOP = 90

⇒ x + 6 = 90

⇒ x = 90-6 = 84 degrees.

Hence, value of x is 84 degrees.

Learn more about the tangent to the angle here:

https://brainly.com/question/23265136

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Answer:

[tex]3a {x}^{4} [/tex]

Step-by-step explanation:

remeber that idical laws

[tex] {x}^{a} \times {x}^{b} = {x}^{a + b} [/tex]

Answer:

(y2-y1)/(x2-x1)

Step-by-step explanation:

The slope is the change in y over the change in x

(y2-y1)/(x2-x1)

where ( x1,y1) and (x2,y2) are two points on the line

Answer:

O  A.  [tex]\frac{y2-y1}{x2-x1}[/tex]

Step-by-step explanation:

This is just about how the Slope-Formula works

ok so you get two points off a graph then you use it to plot it in the Slope-Formula like this

for example imma go with (-2, 5) and (3, 7)

I need to subtract 7 - 5 / 3 - -2. so...

m = slope

m = [tex]\frac{y2-y1}{x2-x1}[/tex]

m = [tex]\frac{7-5}{3--2}[/tex]        Only add the denominators when there's 2 - signs together

m = [tex]\frac{2}{5}[/tex]            

Answer:

a rectangle

Step-by-step explanation:

because 2 sides are the same the other 2 arent it has four sides with straight angles

Answer:

B.

Step-by-step explanation:

Answer:

C   y = 2sin(1/3) x

Step-by-step explanation:

It's a sin function since y = 0 at x = 0

The amplitude is 2

There are 2 cycles in 12π

so the period is 6π

The x coefficent is then 2π/6π  = 1/3

Answer

C   y = 2sin(1/3) x