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]Area = 216.108cm^2[/tex] --- You

[tex]Area = 216.940cm^2[/tex] --- Another student

Reason: Because there is a variation in the given dimensions

Step-by-step explanation:

Given

Your measurement

[tex]Length = 20.70cm; Width =10.44cm[/tex]

Another students'

[tex]Length = 20.74cm; Width =10.46cm[/tex]

Solving (a): The area

Area is calculated as:

[tex]Area = Length * Width[/tex]

For you

[tex]Area = 20.70cm * 10.44cm[/tex]

[tex]Area = 216.108cm^2[/tex]

For the other student

[tex]Area = 20.74cm * 10.46cm[/tex]

[tex]Area = 216.940cm^2[/tex]

Solving (b): Reason for the variation in the areas

The given measurements are estimates of the dimensions of the rectangle.

Since there is a variation in the estimates, there will be some level of variation in the calculated area.

Answer:

(y−1)(y−2)(y+3)

Step-by-step explanation:

Factor y3−7y+6

y3−7y+6

=(y−1)(y−2)(y+3)

Answer:

(y - 2) (y-1) (y+3)

Step-by-step explanation:

y³-7y+6

= y³ +2y² - 2y² - 3y - 4y +6

= ( y³ +2y² - 3y) - (2y² + 4y -6)

= y( y² +2y -3) - 2( y² + 2y -3)

= (y² +2y -3)(y-2)

= ( y² +3y -y -3)(y-2)

= [ y( y+3) -(y+3)] ( y-2)

= (y-1)(y+3)(y-2)

Answer:

80 degrees

Step-by-step explanation:

Since a triangle is 180 degrees

you then add to 2 degrees given and subtract it from 180

65+35=100

180-100=80 degrees

Answer:

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Step-by-step explanation:

Answer:

980

hope it helps

Answer:

133 answer ---------------------------------------- helpful answer

Answer: Undefined

Step-by-step explanation:

Replace x with -5

Answer:

Option C: 20 cm^2

Step-by-step explanation:

Essentially, surface area is just area added up. In this question, there are 4 same rectangles and 2 squares with the areas given. So you have to figure out the total.

Since there are 4 rectangles and each of them has an area of 4cm just multiply 4 by 4 to get 16.

Then, since there are 2 squares with an area of 2 cm each just multiply 2 by 2 to get 4.

Add both numbers, 16 + 4 = 20 and you get your answer.

The total surface area would be 20cm^2.

Answer:

9 inches

Step-by-step explanation:

Given

Let;

[tex]L = Length; W= Width[/tex]

So:

[tex]L_1=16in; W_1 = 6in[/tex]

[tex]L_2 = 24[/tex]

Required

Determine [tex]W_2[/tex]

To do this, we make use of the following equivalent ratios

[tex]L_1 : W_1 = L_2:W_2[/tex]

This gives

[tex]16 : 6= 24:W_2[/tex]

Express as fraction

[tex]\frac{6}{16}= \frac{W_2}{24}[/tex]

Multiply by 24

[tex]W_2 = 24 * \frac{6}{16}[/tex]

[tex]W_2 = 9[/tex]

Answer:

x=3 and x=-2 is the root of given eq

Answer:

Use the zero product property to find the solutions to the equation x2 – x – 6 = 0.?

x = –2 or x = 3 is the answer

Step-by-step explanation:

Answer:

Th answer is D

Step-by-step explanation:

Answer:

4d - 0.22

Step-by-step explanation:

Answer:

y-y1=m(x-x1)

y+4=6(x+1)

y=6x+2

Answer:

125

Step-by-step explanation:

the bearing of b to a is equal to 85+45

Answer:

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Step-by-step explanation:

xdddddddudjdjdjdjdjdjsjsjsjsjsjsjsjjsjsjsjsjsjsjsjsjsjsjjs

Answer:

How many general admission tickets were​ purchased? __136__

How many upper reserved tickets we purchased? _300_

Step-by-step explanation:

Let the number of general tickets = g.

Let the number of reserved tickets = r.

6.5g + 8r = 3284

g + r = 436

     6.5g + 8r = 3284

(+)   -8g + -8r = -3488

--------------------------------

     -1.5g         = -204

g = 136

g + r = 436

136 + r = 436

r = 300

Answer:

How many general admission tickets were​ purchased? __136__

How many upper reserved tickets we purchased? _300_

Answer:

136 general admission tickets were purchased

300 upper reserved tickets were purchased

Step-by-step explanation:

This is a classic system of equations problem. Let the number of general admission tickets sold be [tex]g[/tex] and the number of reserved tickets sold be [tex]r[/tex]. We can write the following system of equations:

[tex]\begin{cases}6.50g+8.00r=3284,\\g+r=436\end{cases}[/tex]

Multiply the second equation by -8 and add both equations to isolate [tex]g[/tex]:

[tex]-8(g+r)=-8(436),\\-8g-8r=-3488,\\\begin{cases}6.50g+8.00r=3284,\\-8g-8r=-3488\end{cases},\\-1.5g=-204,\\g=\frac{-204}{-1.5}=\boxed{136}[/tex]

Now substitute [tex]g=136[/tex] into [tex]g+r=436[/tex] to find the number of reserved tickets sold:

[tex]g+r=436,\\136+r=436,\\r=436-136=\boxed{300}[/tex]

Answer:

16 people

Step-by-step explanation:

35.75 times 16 is 572, times 17 is 607.75, he only has 600 and he cant have a fraction of a person, so he can have 16 people

Answer:

Y intercept = (0;6)

X intercept = (42/5;0)

Answer:

They will never intersect. I'm pretty sure that is right

Answer:

7,982 ft

Step-by-step explanation:

c = πd

25077 = πd

Divide both sides by π

25077/π = d

d = 7,982 ft

----------------------

I think the 25077 number in the question might be a typo

Just divide the correct number by 3.14 to get the diameter.

Answer:

Your answer should be 647.51

Explanation : the price was 215.949 in December, 2009.

the price was 233.049 in December, 2013.

divide 233.049 by 235.949 and got 1.079185363.

multiply that by 600 and got 647.5112179.

The cost of the TV in 2010 is $647.5

Given that the complete information contains the Consumer Price Index values:

To find the CPI,

CPI= [tex]\frac{C_t}{C_0}[/tex]

Where C_t= cost of the market basket in the current period

C_0 = cost of the market basket in the base period

In December 2009, the price was 215. 949

In December 2013, the price was 233.049

Hence,

215. 949/233.049

= 1.079185363.

Then we would multiply by the base selling price

[tex]1.079185363 * 600 = 647.5112179.[/tex].

Read more about the consumer price index here:

https://brainly.com/question/1889164

#SPJ6

Answer:

[tex]x = -2; x = 5[/tex]

Step-by-step explanation:

Given

[tex]f(x) = -x^2 + 4x + 12[/tex]

[tex]g(x) = x +2[/tex]

Required

For what value of x is: [tex]f(x) = g(x)[/tex]

[tex]f(x) = g(x)[/tex] implies that

[tex]-x^2 + 4x + 12 = x + 2[/tex]

Collect like terms

[tex]-x^2 + 4x -x + 12 -2 = 0[/tex]

[tex]-x^2 + 3x + 10 = 0[/tex]

Expand

[tex]-x^2 + 5x-2x + 10 = 0[/tex]

Factorize

[tex]-x(x - 5)-2(x - 5) = 0[/tex]

Factor out x - 5

[tex](-x - 2)(x - 5) = 0[/tex]

Solve for x

[tex]-x - 2 = 0; x - 5 = 0[/tex]

So:

[tex]x = -2; x = 5[/tex]

Answer:

18

Step-by-step explanation:

f(x) = 2x^2

Let x = -3

f(-3) = 2 * (-3)^2

Exponents first

f(-3)=2 *9

f(3) = 18

Answer:

f ( - 3 ) = 18

Step-by-step explanation:

f ( x ) = 2x²

Find f ( - 3)

let , x = - 3

lf ( - 3 ) = 2 ( -3 )²

f ( - 3 ) = 2 × ( - 3 )²

Evaluate the power

f ( -3) = 2 × 9

multiply the numbers

f ( - 3 ) = 18

Answer:

[tex]A(x) = 12000(1.04)^x[/tex]

Step-by-step explanation:

Compound interest:

The compound interest formula is given by:

[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]

Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.

$12000 cash

This means that [tex]P = 12000[/tex]

Compounded at 4% interest annually.

This means that [tex]r = 0.04, n = 1[/tex]

What equation will calculate the value in x years?

[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]

[tex]A(x) = P(1 + \frac{r}{n})^{nx}[/tex]

[tex]A(x) = 12000(1 + 0.04)^x[/tex]

[tex]A(x) = 12000(1.04)^x[/tex]

Answer:

1 ± √19i

Step-by-step explanation:

Answer:

≠ and >

Step-by-step explanation:

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