A complex electronic system is built with a certain number of backup components in its subsystems. One subsystem has eight identical components, each with a probability of 0.45 of failing in less than 1,000 hours. The sub system will operate if any four of the eight components are operating. Assume that the components operate independently. (Round your answers to four decimal places.)

Required:
Find the probability that the subsystem operates longer than 1000 hours.

As the point moves along the helix, it traces out a three-dimensional surface in space.The space curve would look like a helix in graph.

1. First, we need to find the vector-valued function r(t) using the given parameter.

2. We can use the parameter x+z=2 to solve for the y-coordinate in terms of t:

y = √(4 − (1+sin t)2 − (1 − sin t)2).

3. We can now substitute this expression into the vector-valued function to obtain:

r(t) = (1+sin t)i+ (√(4 − (1+sin t)2 − (1 − sin t)2))j+ (1-sin)k

4. The space curve represented by the intersection of the surfaces is a helix in a graph.

The space curve represented by the intersection of the surfaces is a helix. It is a three-dimensional curve that can be described by a vector-valued function r(t) with parameter t. The vector-valued function r(t) is given by:

r(t) = (1+sin t)i+ (√(4 − (1+sin t)2 − (1 − sin t)2))j+ (1-sin)k.

The helix can be visualized as a spiral that wraps around a cylinder and is generated by a point travelling around the circumference of the cylinder at a constant speed. This can be observed by noting that the x- and z-coordinates of the vector-valued function are constant and only the y-coordinate changes over time. As the point moves along the helix, it traces out a three-dimensional surface in space.

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Answer:

Step-by-step explanation:

Regs.

Spinner A and Spinner B below are each to be spun once.

0 18

O 12

6

Spinner A

5

2

4

00

can you say me from which cource is this

Answer:d3dasdadqdasdw

Step-by-step explanation:

Answer:

\(\frac{1}{96}\)

Step-by-step explanation:

Spinning a 5 is \(\frac{1}{12}\)

Spinning even is \(\frac{1}{2}\)

Spinning multiple of 4 is \(\frac{1}{4}\)

\(\frac{1}{12} *\frac{1}{2} *\frac{1}{4}\)\(=\frac{1}{96}\)

Answer:

simple. m<2 is 29 degrees

Step-by-step explanation:

one triangle= 180 degrees

180-151=29

Question A is the survey that you expect to have fair results regarding attitudes about carnivals

This survey question is the most neutral and fair among the options provided. It doesn't include any leading or biased language that may influence the respondent's answer.

Option B uses the adjective "exciting," which could lead people to think positively about carnivals.

Option C brings in the unrelated factor of "traveling across town," which could negatively influence the response based on travel preference rather than attitude towards carnivals. Option D uses negative descriptors "noisy" and "overpriced," which could lead people to think negatively about carnivals.

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Answer:

7/12

Step-by-step explanation:

We cannot add fractions without the same denominator. 4 does not equal 6

ok

2/6 is the same as 4/12 because we multiply proportionately

we multiply the numerator and denominator by the same factor

2/6 x 2/2 = 4/12

now 1/4 is the same as 3/12 because we multiply by 3x3

(realize something we are not changing the value of the fraction. 2/2 is the same as 1 and 3/3 is also the same as 1)

now they have the same denominator

4/12 + 3/12+ = 7/12

Here, we let n be the number of sides of the regular polygon. Polygon area = n(12sh). As n increases, h approaches r so that rh approaches r² and hence, this statement is true. So, option 4 is the correct option.

When ns equals circumference or 2r, the polygon will turn into a circle.

A polygon must be converted into a circle.

Let s represent the polygon's side length, r represent the hypotenuse of the right triangle,

Let n be the regular polygon's number of sides and h be the height of the triangle.

The polygon's area is now specified as polygon area = n(1/2sh).

Now, we must suppose that the polygon's sides are infinite in order to obtain a circle. In order to do this, we must assume that the polygon's perimeter is the same as the circle's perimeter.

That's why when the number of sides of the polygon will increase its perimeter will become closer to 2πr and its area will become close to a circle.

The complete question that you might be looking for is-

A regular polygon inscribed in a circle can be used to derive the formula for the area of a circle. The polygon area can be expressed in terms of the area of a triangle. Let s be the side length of the polygon, let r be the hypotenuse of the right triangle, let h be the height of the triangle, and let n be the number of sides of the regular polygon. polygon area = n(12sh) Which statement is true?

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Answer

-4+12r

8r-6+2+4r

-6+2=-4

8r+4r=12r

Answer:

Anna owes $3600 to the bank

Step-by-step explanation:

12/100 * 6000 = 720 * 5 years

= $3600

Hence Anna owes $3600 to the bank

Answer:

B. 3188.5 cubic inches.

Step-by-step explanation:

The volume of a cone is calculated using the following formula:

Volume = (1/3) * π * r² * h

Where:

In this problem, we are given that r = 17 inches and S.h = 20 inches.

First we need to find height h.

py using Pythagorous theorem,we get

c²=a²+b²

here c= slight height and a is radius

20²=17²+b²

20²-17²=b²

111=b²

b=√(111)

Plugging these values into the formula, we get:

Volume = ⅓*π* 17² *√(111) = 3188.5 cubic inches

Therefore, the volume of the cone is 3188.5 cubic inches.

Answer:

¢40 or $0.40

Step-by-step explanation:

270 - 250 = 20

20 ÷ 50 = 0.4

The three consecutive numbers that have a sum of 12 is 3, 4 and 5. The formula for calculation is x + x + 1 + x + 2 = 12.

Let the first number in three consecutive numbers be x. So, the next two numbers will be (x+1) and (x+2). Now, their sum wil be represented as mathematical equation -

x + x + 1 + x + 2 = 12

Performing addition on Left Hand Side of the equation

3x + 3 = 12

Rewriting the equation

3x = 12 - 3

Performing subtraction on Right Hand Side of the equation

3x = 9

x = 9/3

Performing division on Right Hand Side of the equation

x = 3

So, next number = x+1

Second number = 3+1

Second number = 4

Third number = x+2

Third number = 3+2

Third number = 5

Hence, the three consecutive numbers are 3, 4 and 5.

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Answer:

10y - 20

Step-by-step explanation:

Answer:

A)

Step-by-step explanation:

The range is {1, 3, 5, 7, 9}

The required solution the  sequence 1, 3, 5, 7, 9 has the range is {1, 3, 5, 7, 9}.

The range is the difference between the largest and smallest numbers. The midrange is the average of the largest and smallest number. The range only takes into account these two values and ignore the data points between the two extremities of the distribution.

Given:

The sequence is

1, 3, 5, 7, 9.

According to given question we have

The range is the difference between the highest and lowest values within a set of numbers and also set of all real number between them.

So, the sequence 1, 3, 5, 7, 9 has the range is {1, 3, 5, 7, 9}.

Therefore, the required solution the  sequence 1, 3, 5, 7, 9 has the range is {1, 3, 5, 7, 9}.

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The total income and expenditure of Agri-small business limited in September is R 299596 and expenditure is R 193236.

We have to find the total income and expenditure in September.

The equation for insurance is mathematically given as :

Insurance = 42% of the balance

Insurance=0.42*0.64A

Insurance=0.2688A.

Total expenditure after all other expenditures = 0.64A-0.2688A

Total expenditures after all other expenditures = 0.3712A.

Total expenditures after all other expenditures is as 111210 (106360 +4850)

Equating both the equation and value:

111210 = 3712 A

A = 299596

Thus The total income is 299596.

Therefore the calculation of expense is given as:

Expense=0.25A+0.11A+0.2688A+4850

Expense=0.6288A+4850

=0.6288*299596+4850

=193236

The expense is 193236.

Hence, the total income and expenditure in September are "Income is R 299596 and expenditure is R 193236.

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Answer:

V = 460.68

Step-by-step explanation:

V=(lwh)/3

Answer:

B) y - 2 = (-1/4)(x - 2)

Step-by-step explanation:

Start with the equation of the given line: y = 4x + 7.

Determine the slope of the given line, which is 4.

Since the perpendicular line has a negative reciprocal slope, the perpendicular line's slope is -1/4.

Use the point-slope form of a linear equation: y - y₁ = m(x - x₁), where (x₁, y₁) is the given point and m is the slope.

Substitute the values x₁ = 2 and y₁ = 2 into the point-slope equation: y - 2 = (-1/4)(x - 2).

Simplify by distributing -1/4 to (x - 2): y - 2 = (-1/4)x + 1/2.

Add 2 to both sides to isolate y: y = (-1/4)x + 1/2 + 2.

Simplify further: y = (-1/4)x + 5/2.

The equation in point-slope form for the line passing through (2, 2) and perpendicular to y = 4x + 7 is y - 2 = (-1/4)(x - 2), which matches option B.

Answer:

Therefore, the constant of proportionality for the given proportional relationship is 5.

Step-by-step explanation:

To determine the constant of proportionality in the given proportional relationship, we can use the formula:

Constant of Proportionality = Tickets / Games

Let's plug in the values from the table:

For the first set of values (4 games and 20 tickets):

Constant of Proportionality = 20 / 4 = 5

For the second set of values (7 games and 35 tickets):

Constant of Proportionality = 35 / 7 = 5

For the third set of values (10 games and 50 tickets):

Constant of Proportionality = 50 / 10 = 5

In all three cases, the constant of proportionality is equal to 5.

Therefore, the constant of proportionality for the given proportional relationship is 5.

Answer:

2,6

Step-by-step explanation:

Answer:

1. (2,6)

2. C

3. B

Step-by-step explanation:

y = - 2x + 10

y = x + 4

SInce the two equation both equal y, we can said they are equal.

- 2x + 10 = x + 4

      - 10        - 10

- 2x = x - 6

- x     - x

- 3x = - 6

/-3        /-3

x = 2

Then we plug the x value into the equations and we will get the point that intersects y=-2x+10 and y=x+4.

- 2(2) + 10 = 2 + 4

- 4 + 10 = 6

6 = 6

This is true since both sides are equal.

The point that intersects y=-2x+10 and y=x+4 is (2,6).

2. If the two lines y1=−12x+5 and y2=2x+5 were to be graphed, what would their intersection point represent?

C) Their intersection point is the only point where different inputs into both functions yield the same output.

Ex: y=-2x+10 and y=x+4 both have the same solution which is (2,6).

3. Given an equation y=−13x+5, explain the steps for using slope-intercept form to graph this equation.

y = - 1/3x + 5

y = - 1/3(0) + 5

y = 5

Point: (0,5)

Slope: - 1/3

Rise over run (y/x) so up 3 and left 1.

B) Use the y-intercept to plot the point (0,5). Then, using the y-intercept as a reference point, move left 1 unit and up 3 units, and plot a second point.

Answer:

3/10, 30% and 0.3 are equivalent

50% and 1/2

0.625 and 5/8

2/5 and 4%.

Hope that helps. x

Answer: -102

Step-by-step explanation: First we do 9-3 = 6, then add -6 which cancels each other out, so all we have left is -102.

Hope this helps! :)

Answer:

-102

Step-by-step explanation:

(+9) - (+3) = +6

(-6) = -6

+ (-102) = -102

so, +6 -6 -102 = -102

Answer:

C

Step-by-step explanation:

7.55 x 35 =

264.25

Hope this helped

Answer:

-6

Step-by-step explanation:

hope this helped <3

The percent increase in the cost to Deb, to fly from Boston to Hartford is  25%

If the airline charges an additional $50 baggage fee then the percent increase would be 41.67%

The percent increase to Deb to fly from Boston to Hartford can be found by the formula:

= ( Cost to fly now - Cost to fly two weeks ago ) / Cost to fly two weeks ago

= ( 375 - 300 ) / 300

= 0. 25

= 25%

If an  additional​ $50 baggage fee is added to the new price, the percent increase is:

= ( (375 + 50 ) - 300 ) / 300

= 41.67%

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