Determine whether the set, together with the indicated operations, is a vector space. If it is not, then identify one of the vector space axioms that fails. M6.8 with the standard operations
O The set is a vector space. O The set is not a vector space because the commutative property of addition is not satisfied. O The set is not a vector space because an additive identity does not exist. O The set is not a vector space because it is not closed under scalar multiplication. O The set is not a vector space because the distributive property of scalar multiplication is not satisfied

To calculate the reliability of the bank loan processing system with backup components, we can use the concept of series-parallel system reliability.

In the original system, the three components are connected in series. To calculate the overall reliability of the system, we multiply the reliabilities of the individual components:

R_system = R_1 * R_2 * R_3 = 0.82 * 0.991 * 0.98 ≈ 0.801

So, the reliability of the bank loan processing system without backup components is approximately 0.801.

Now, if each of the three components has a backup with a reliability of 0.80, we have a parallel configuration between the original components and their backups. In a parallel system, the overall reliability is calculated as 1 minus the product of the complement of individual reliabilities.

Let's calculate the reliability of each component with the backup:

R_1_with_backup = 1 - (1 - R_1) * (1 - 0.80) = 1 - (1 - 0.82) * (1 - 0.80) ≈ 0.984

R_2_with_backup = 1 - (1 - R_2) * (1 - 0.80) = 1 - (1 - 0.991) * (1 - 0.80) ≈ 0.9988

R_3_with_backup = 1 - (1 - R_3) * (1 - 0.80) = 1 - (1 - 0.98) * (1 - 0.80) ≈ 0.9992

Now, we calculate the overall reliability of the system with the backups:

R_system_with_backup = R_1_with_backup * R_2_with_backup * R_3_with_backup ≈ 0.984 * 0.9988 * 0.9992 ≈ 0.981

Therefore, the reliability of the bank loan processing system with backup components is approximately 0.981.

Comparing the two scenarios, we can see that introducing backup components with a reliability of 0.80 has improved the overall reliability of the system. The total reliability increased from 0.801 (without backups) to 0.981 (with backups). Having backup components in a parallel configuration provides redundancy and increases the system's ability to withstand failures, resulting in higher reliability.

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Answer:

C = 10

D = 5

Step-by-step explanation:

glad to help :D

Answer:0

Step-by-step explanation:

Because it says rate of change witch don’t have one

Answer:

64ft

Step-by-step explanation:

since all sides of a square and the same and equal then all the dimensions will be the same

Answer:

The answer for this question is :s = 12.806248474866 cm

Step-by-step explanation:

All possible calculations are as :

height h = 10 cm

slant height s = 12.806248474866 cm

side length a = 16 cm

perimeter of base P = 64 cm

lateral edge length e = 15.099668870541 cm

1/2 side length r = 8 cm

volume V = 853.33333333333 cm3

lateral surface area L = 409.7999511957 cm2

base surface area B = 256 cm2

total surface area A = 665.7999511957 cm2

side face slope m = 1.25

side face angle θ = 51.34019174591 °

Answer:

first D and second B.

Step-by-step explanation:

first D and second B.

Answer:

Use the diagram.

1.

angle1 and angle2 are adjacent angles.

Correct answer A. true

Incorrect answer B. false

2.

angle3 and angle4 are complementary.

Incorrect answer A. true

Correct answer B. false

3.

angle2 and angle3 are ______ angles.

Incorrect answer A. complementary

Incorrect answer B. vertical

Incorrect answer C. right

Correct answer D. supplementary

4.

angle2 and angle4 are ____ angles.

Incorrect answer A. complementary

Correct answer B. vertical

Incorrect answer C. right

Incorrect answer D. supplementary

5.

Find mangleABC if the line modifying above upper B upper D with two-way arrow bisects angleABC and given mangleABD = 5x and mangleDBC = 3x + 10.

Incorrect answer A. 5°

Incorrect answer B. 25°

Incorrect answer C. 30°

Correct answer D. 50°

Step-by-step explanation:

100% correct my friends

good luck out there

; )

Answer:

9:30am

Step-by-step explanation:

To find what time simply add all of the minutes together and subtract. All of the steps take 100 minutes to do. 11.10 am is 670 minutes. So 670 - 100 = 570 then divide by 60 to get the time ie 9:30 am

Answer:

-883 - 1

Step-by-step explanation:

In a Type 3 unity feedback system with the transfer function G(s), where G(s) = 210(s + 4)(s+6)(s + 11)(s +13)/s³ (s+7)(s+14)(s +19), the steady-state error in position can be determined by evaluating the system's transfer function at s = 0.

The steady-state error in position can be found by evaluating the transfer function of the system at s = 0. In this case, the transfer function of the system is G(s) = 210(s + 4)(s+6)(s + 11)(s +13)/s³ (s+7)(s+14)(s +19).

To find the steady-state error, we substitute s = 0 into the transfer function. When s = 0, the denominator of the transfer function becomes non-zero, and the numerator evaluates to 210(4)(6)(11)(13) = 2,090,640.

The steady-state error in position (ess) is given by the formula ess = 1 / (1 + Kp), where Kp represents the position error constant.

Since the system is a Type 3 system, the position error constant is non-zero. Therefore, we can compute the steady-state error as ess = 1 / (1 + Kp).

In this case, the Kp value can be determined by evaluating the transfer function at s = 0. Substituting s = 0 into the transfer function, we get G(0) = 2,090,640.

Therefore, the steady-state error in position (ess) is ess = 1 / (1 + 2,090,640) = 1 / 2,090,641.

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The height of the cylinder is 10.81 cm and the radius of the cylinder is 5.41 cm

The volume of the cylinder can = 1000 cubic cm

Consider the height of the cylinder as h and the radius of the base is r

Volume of the cylinder = π\(r^2\)h = 1000

h = 1000 / π\(r^2\)

The surface area of the cylinder

A = 2π\(r^2\) + 2πrh

A = 2π\(r^2\) + 2πr(1000 / π\(r^2\) )

A = 2π ( \(r^2\) + 1000 / π\(r^2\))

Differentiate the terms

A' =  2π (2r + 1000 / π\(r^3\))

When the minimum surface area

2π (2r + 1000 / π\(r^3\)) = 0

r = \((1000/2\pi )^\frac{1}{3}\)

r = 5.41 cm

Then,

h =  1000 / π\(r^2\)

= 1000 / (π × 5.41 × 5.41)

= 1000 / 91.94

= 10.87 cm

Hence, the height of the cylinder is 10.81 cm and the radius of the cylinder is 5.41 cm

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Answer:

32°

Step-by-step explanation:

Using the angle addition postulate,

\(3x+10+2x+12=72 \\ \\ 5x+22=72 \\ \\ 5x=50 \\ \\ x=10 \\ \\ \implies m\angle ABC=2(10)+12=32^{\circ}\)

Answer: 22 weeks to gain $312.

Step-by-step explanation:

Let w be the number of weeks.

Equation: 48 + 12w  

48 + 12(22)

= 48 + 264

= $312

It will take 22 weeks for Marty to gain $312.

The frequency of the simple harmonic motion described by the equation d=9cos((p/2)t) is pi/2.

In the equation d=9cos((p/2)t), the displacement d of the oscillating object is given by a cosine function with an argument of (pi/2)t. The general form of a cosine function is cos(wt), where w is the angular frequency of the motion. The angular frequency is related to the frequency f by the equation w=2pif. Therefore, to find the frequency of the motion described by the given equation, we need to find the value of w.

In this case, we have w = (pi/2), which means that the frequency f is w/2pi = (pi/2)/(2pi) = pi/4pi = 1/4. Simplifying this fraction gives us a frequency of pi/2, which is the final answer. Therefore, the frequency of the simple harmonic motion described by the equation d=9cos((p/2)t) is pi/2.

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Answer:

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

Step-by-step explanation:

Distribute 2 to 1 and -x --->  (2-2x)+3x

Combine Like Terms ---> 2-x

So 2(1-x)+3x = 2-x

Therefore, the height of the cone is approximately 4.23 centimeters.

Volume is a measure of the amount of space occupied by a three-dimensional object or region. It is the total amount of space enclosed by the boundaries of the object or region. Volume is usually measured in cubic units, such as cubic centimeters (cm³) or cubic meters (m³). Knowing the volume of an object can be useful for many purposes, such as determining how much material is needed to fill a container or how much space is needed to store a certain quantity of objects.

Here,

The formula for the volume of a cone is given by:

V = (1/3)πr²h

where V is the volume, r is the radius, and h is the height.

We are given that the volume of the cone is 3.0144 cubic centimeters, so we can plug this into the formula:

3.0144 = (1/3)πr²h

Next, we need to find the radius of the cone. Since we are not given the radius directly, we may need to use other information that is not given in the problem. If we assume that the cone is a right circular cone, then we can use the fact that the radius and height are proportional to find the radius:

r/h = 1/3

r = (1/3)h

We can substitute this expression for r into the volume formula:

3.0144 = (1/3)π((1/3)h)²h

Simplifying this equation:

3.0144 = (1/27)πh³

Multiplying both sides by 27/π:

h³ = 84.96

Taking the cube root of both sides:

h = 4.23 (rounded to the nearest hundredth)

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Answer:

5: 6

Step-by-step explanation:

becuase it was basically 100:120 but divide it by 20 and thats  how you get 5;6

Only one decimal place in the product of 8x0. 5 because the final zeros in the product do not change the value of the number.

One decimal place to the left of the decimal point is the ones place. One decimal place to the right of the decimal place is the tenths place.

This is a result of the rules of significant figures. These are the digits of the numbers that matter. For operations involving multiplication, the product should have the same significant numbers with the least significant numbers of the given data. In this case, that would be 0.5. Since 0.5 has one significant figure, then the product should be reported with one significant number. That should be 4.0.

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Answer:

y = - 2x + 6

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ )  = (1, 4 ) and (x₂, y₂ ) = (2, 2 )

m = \(\frac{2-4}{2-1}\) = \(\frac{-2}{1}\) = - 2 , then

y = - 2x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (2, 2 ) , then

2 = - 4 + c ⇒ c = 2 + 4 = 6

y = - 2x + 6 ← equation of line

As σx (standard deviation) remains unchanged, the value of x alone cannot determine the effect on sample mean. It depends on the value of x relative to the values in original sample and sample size.

If one new person is added to the sample and the standard deviation (σx) remains unchanged, the effect on the sample mean (m) can be determined as follows:

Let's denote the original sample size as n and the sum of the sample values as Σx.

Original sample mean:

m = Σx / n

After adding the new person, the new sample size becomes n + 1, and the sum of the sample values becomes Σx + x_new (x_new represents the value of the new person).

New sample mean:

m' = (Σx + x_new) / (n + 1)

To analyze the effect, we can express the difference in means:

Δm = m' - m = ((Σx + x_new) / (n + 1)) - (Σx / n)

Simplifying this expression, we get:

Δm = (x_new - (Σx / n)) / (n + 1)

Therefore, the effect of adding the new person on the sample mean (m) is determined by the difference between the value of the new person (x_new) and the original mean (Σx / n), divided by the increased sample size (n + 1).

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5x²+6x+2

please mark BRAINLIEST if right.

Answer:

option 3

Step-by-step explanation:

i cant do exponents on a computer but the 5X2+6x+2 :)

Answer:

1

Step-by-step explanation:

Mean is the average amount of numbers. To find the mean, add all the numbers up and then subtract by how many there are.

All of those numbers together equal 9 and because there are 9 values there, I divided them which gave me 1.

Answer:

its 2 x I think u can defirantate

\(x^{2} -25\\x^{2} -5^{2} \\(x-5)(x+5)\)

Answer:

Step-by-step explanation:

\((x-3) (x+2) = 0\\(x * x )+(x*+2)- (3*x)-(3*2)=0\\x^{2} +2x-3x-6=0\\Simplify : +2x-3x ,to = -x\\x^{2} -x-6 =0\\\)

A 98% confidence interval estimate of the mean wake time for a population with zopiclone treatments is 74.26 to 125.54.

What is a confidence interval?

A confidence interval (CI) is a range of values that, with a particular level of certainty, is likely to encompass a population value. A population mean that sits between an upper and lower interval is frequently stated as a percentage.

Here,

From the standard normal table, the z-critical value at 98% confidence interval is 2.33 so,

98%C.I. = µ ± z * σ /   n = 98.90 ± 2.33 * 42.30 / sqrt of 16  = 98.90 ± 24.64 = 74.26 to 125.54

The mean wake time of 102.80 minutes before the treatment due to the mean wake time of 102.80 minutes included in the 98% confidence interval which is between 74.26 and 125.54. Zopiclone does not appear effective.

Hence, A 98% confidence interval estimate of the mean wake time for a population with zopiclone treatments is 74.26 to 125.54.

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Answer:

2x + t - 1 =14

Step-by-step explanation:

give me brainliest plz and hope this helps also i am very good at math so that is a reassurance that this is correct

The correct answer is d) the angle of depression from the airplane to the person.

What is angle of depression?

An angle of depression is an angle formed by a horizontal line and a line of sight that is directed downward to an object. This angle is measured downwards from the horizontal line and is typically used in situations where the object being observed is below the level of the observer.

Since the angle of elevation is measured upwards from the horizontal line and the person is on the ground, the angle between the airplane and the person would be the angle of depression from the airplane to the person.

To find the measure of this angle, we can use trigonometry. Let x be the angle of depression from the airplane to the person. Then:

tan(x) = (height of tower - height of person) / distance from airplane to person

tan(x) = (4sin(2) - 0) / 5

x = arctan(4sin(2)/5) ≈ 15.3 degrees

Therefore, the angle of depression from the airplane to the person is approximately 15.3 degrees. So, the answer is option (c) 25 is the angle of depression from the person to the airplane is not correct, and the correct answer is the angle of depression from the airplane to the person.

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Okay so the first thing we need to do is clarify the terms so that you know what each part of the division is:

What we'll do here is break down each step of the long division process for 10 divided by 3 and explain each of them so you understand exactly what is going on.

The first step is to set up our division problem with the divisor on the left side and the dividend on the right side, like we have it below:

  __

3| 10

We can work out that the divisor (3) goes into the first digit of the dividend (1), 0 time(s). Now we know that, we can put 0 at the top:

   _0_

3 | 10

If we multiply the divisor by the result in the previous step (3 x 0 = 0), we can now add that answer below the dividend:

 _0_

3 | 10

    0

Next, we will subtract the result from the previous step from the second digit of the dividend (1 - 0 = 1) and write that answer below:

 ___

3 | 10

- 0

__

1

Move the second digit of the dividend (0) down like so:

 __0_

3 | 10

 - 0

-----------

10

The divisor (3) goes into the bottom number (10), 3 time(s), so we can put 3 on top:

 __03_

3 | 10

- 0

___

10

If we multiply the divisor by the result in the previous step (3 x 3 = 9), we can now add that answer below the dividend:

 _03_

3 | 10

- 0

__

10

 9

Next, we will subtract the result from the previous step from the third digit of the dividend (10 - 9 = 1) and write that answer below:

  __03_

3 | 10

- 0

__

10

-9

_

1

Your answer is the top number, and any remainder will be the bottom number. So, for 10 divided by 3, the final solution is:

Answer:

5/13 is your answer.....