Help!!!!!!!urgent!!!!!!!!!!!!!!!!!!!!!!

The probability of getting at least 75% paper towel on a randomly selected roll is 0.85 or 85%

The probability distribution function of X if X ~ U(a,b) is

f(x) = 1/(b-a) if a ≤x≤b

    = 0, otherwise

The amount of paper towel on a roll is distributed between 0 m^2 and 500 m^2

∴ a = 0 and b= 500

f(x) = 1/500 when 0≤x≤500

     =  , otherwise

The probability that a randomly selected roll has 75 m^2 of paper towel on it at least

P( X≥ 75) = \(\int\limits^{500}_{75} {f(x)} \, dx\)

              = \(\int\limits^{500}_{75} {1/500} \, dx\)

              = (1/500) * \([x]_{75}^{500}\)

              = (500 - 75)/ 500

              = 0.85

Find the probability:

brainly.com/question/3266586

#SPJ4

Answer:

The answer is D

Step-by-step explanation:

I know this because all the area of each face is equal to 10+10+52+32+40 and that is equal to 144in. squared

Let's check

So

Hence he is wrong

Answer:

the answer is d

Step-by-step explanation:

A dilation is what changes the size of the image, which cancels out a and b. The scale factor is also what will change the size, so if the image is doubling, scale factor has to be 2, cancelling out c.

Answer:

The answer is C and D I believe

Step-by-step explanation:

Answer: x = 7

Step-by-step explanation: 6x = x^2 - 7

x^2 - 6x -7 =0

(x-7) (x+1) = 0

x = 7  

x = -1 ----> rejected

The positive solution of the required number is 7.

An expression is a grouping of one or more mathematical or logical operators, operands (values, variables, or other expressions), and brackets in mathematics and computer programming that denote a computation that can be evaluated to generate a value.

Let's start by translating the given sentence into an equation. Let "x" be the number we are trying to find. Then we can write:

6x = x² - 7

Now we need to solve for x. Let's rearrange the equation to get all the x terms on one side and all the constant terms on the other side:

x² - 6x - 7 = 0

We can solve this quadratic equation by factoring or using the quadratic formula, but let's use factoring for this problem. We need to find two numbers whose product is -7 and whose sum is -6. The two numbers are -7 and 1, so we can write:

(x - 7)(x + 1) = 0

This means that either x - 7 = 0 or x + 1 = 0. Solving for x, we get:

x = 7 or x = -1

Since we are looking for a positive solution, the answer is x = 7. Therefore, the positive solution is 7.

To know more about an expression follow

https://brainly.com/question/25968875

#SPJ2

Answer:

We are known that Katya and her friends stand in a circle and both neighbors are of same gender this means that the person on the right and the person on the left of anyone in the circle will be of same gender either a girl or a boy.

We are given that there are five boys, we could have considered the circle to be only composed of boys but we are given there is a girl Katya within it and it is also mentioned that 'Katya and her friends' that means there can be more girls in the circle.

Now when we draw a circle on a page and mark points K for Katya and boys B1 and B2 on right and on the left of Katya we will get to know that after each boy there has to be a space vacant because on that space a girl should be positioned only then we will meet the criteria of both gender's same on the neighbor side of each person.

Also we will mark boys B1,B2,B3,B4,B5 as five boys and leave space vacant for girls and with those vacant spaces we get to know there will be 4 vacant spaces and one is Katya herself.

Therefore there will be a total of five girls in the circle one is Katya and other four.

Answer:

103 percent

just divide 20 by 15 and multiply the answer by 100 to convert to percentage form bro

Answer: A good way to get a small standard error is to use a large sample.

Step-by-step explanation:

In order to find the small standard error, there is always need of a complete set which is called the large sample.

If tried to do a small or repeating sample, you will most likely not get an error and you could get a repetition. If you do a population sample, you wont get accurate results at all.

Therefore, a good way to get a small standard error is to use a large sample. Hope this helps!

-From a 5th Grade Honors Student

Component 3 must be started on day 197 to meet the delivery date of day 200.

To illustrate the backward schedule, we need to start from the delivery date (day 200) and work our way backward, taking into account the lead times and dependencies of each operation.

(a) Backward schedule:

Operation    |  Work Center  |  Time (hours)  |  Start Day

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

Final Assembly |   Work Center 1  |        1       |     200

Sub-assembly 1 |   Work Center 2  |        2       |     199

Component 4     |   Work Center 3  |        3       |     197

Component 2     |   Work Center 4  |        4       |     196

Component 3     |   Work Center 5  |        3       |     ????

(b) To identify when component 3 must be started to meet the delivery date, we need to consider its dependencies and lead times.

From the backward schedule, we see that component 3 is required for sub-assembly 1, which is scheduled to start on day 199. The time required for sub-assembly 1 is 2 hours, which means it should be completed by the end of day 199.

Since component 3 is needed for sub-assembly 1, we can conclude that component 3 must be started at least 2 hours before the start of sub-assembly 1. Therefore, component 3 should be started on day 199 - 2 = 197 to ensure it is completed and ready for sub-assembly 1.

Hence, component 3 must be started on day 197 to meet the delivery date of day 200.

Learn more about Scheduling here:

brainly.com/question/30012511

#SPJ4

Answer:

Data A - 5

Data B - 5

Data C - 5

Data D - 6

Step-by-step explanation:

Data A,

Graph for the data shows that there is a distinct value of y (output value) for every input value of x.

Therefore, Data A is a function.

Data B,

Each ordered pair shows exactly one output value for each input value.

Therefore, Data B represents a function.

Data C,

For each input value there is exactly one output value.

Therefore, Data C represents a function.

Data D,

From the given table,

For x = -1 there are two output values y = 27, 39

For x = -2 output values are y = 45, 21

Since for these input values there are two output values, Data D will not be a function.

The width of the chest shaped like a rectangular prism, to the nearest tenth of an inch is 32.1.

Kenji has made a treasure chest, shaped like a rectangular prism that must hold around 10,368 cubic inches of sand. In the second act of the school play, an actor will stand on the chest.

Therefore, the chest must be 24 inches tall. The length of the chest is twice its width.

To determine the width of the chest, you should first determine the length of the chest.

Then, using the formula for the volume of a rectangular prism, you can solve for the width of the chest.

Length of the chest

The formula for the volume of a rectangular prism is V = lwh

Given that the chest needs to hold around 10,368 cubic inches of sand, we can write 10,368 = lwh

Since the chest is twice as long as it is wide, the length (l) of the chest is equal to 2w.

Substituting 2w for l, we have:

10,368 = (2w)w

hence 5,184 = wh²(5,184/h)

= w*h(5,184/h²) = w

Since the chest must also be 24 inches tall, we can write:

h = 24 feet

Substituting this value into the equation, we have:

(5,184/24²) = w

hence w = 32.1 inches

Therefore, the width of the chest to the nearest tenth of an inch is 32.1 inches.

Learn more about prism here: https://brainly.com/question/23963432

#SPJ11

The first five terms of the sequence using the recursive rule are 1, 3, 5, 7, and 9.

To write the first five terms of a recursively defined sequence, you need to know the initial terms and the recursive rule that generates each subsequent term.

Let's say the first two terms of the sequence are a₁ and a₂.

Then, the recursive rule tells you how to find a₃, a₄, a₅, and so on.

The general form of a recursively defined sequence is:

a₁ = some initial value

a₂ = some initial value

R(n) = some rule involving previous terms of the sequence

aₙ₊₁ = R(n)

Using this general form, we can find the first five terms of a sequence. Here's an example:

Suppose the sequence is defined recursively by a₁ = 1 and aₙ = aₙ₋₁ + 2.

Then, the first five terms are:

a₁ = 1

a₂ = a₁ + 2 = 1 + 2 = 3

a₃ = a₂ + 2 = 3 + 2 = 5

a₄ = a₃ + 2 = 5 + 2 = 7

a₅ = a₄ + 2 = 7 + 2 = 9

Therefore, the first five terms of the sequence are 1, 3, 5, 7, and 9.

To know more about recursive visit:

https://brainly.com/question/29238776

#SPJ11

To determine the column size and reinforcement necessary, we need to calculate the required area of the column cross-section and determine the appropriate reinforcement layout.

To design the reinforced column, we need to consider the given information:

- Effective length of the column: 7m
- Factored load on the column: 4500kN
- The column is braced and pinned at the top and bottom.
- Required cover to the steel: 30mm
- Concrete grade: 35
- Steel yield stress: 500N/mm²

1. Calculate the area of the column cross-section:
  - Using the slenderness limit formula Alim = 15.4 * C * vn, where C = 1.7 and n = Ned / Ac * fcd.
  - We need to determine Ned, the design load on the column.
  - Ned = 1.35 * 4500kN (since the load is factored)
  - Calculate Ac, the area of the column cross-section, using Ac = Ned / (fcd * n).
  - Substitute the given values to find Ac.

2. Determine the dimensions of the column cross-section:
  - For a square column, the overall dimension h is equal to the overall dimension of the column.
  - The overall dimension h should be greater than or equal to the square root of Ac to maintain the square shape.
  - Choose a suitable h value that satisfies this condition.

3. Calculate the reinforcement necessary:
  - Determine the steel area required using As = Ac * n * fcd / fy.
  - Choose the reinforcement layout and calculate the number and size of bars required.

4. Sketch the proposed reinforcement layout:
  - Neatly draw the reinforcement layout on a grid paper or using a CAD software.
  - Include the number, size, and spacing of the bars, as well as the cover to the steel.

To account for the constructional errors resulting in the load acting at eccentricities ex = 175mm and ey = 75mm, we need to adjust the column size and reinforcement necessary. These adjustments will depend on the specific design requirements and considerations. One possible approach is to increase the overall dimension h of the column and provide additional reinforcement to accommodate the increased eccentricities. This will ensure the structural stability and integrity of the column under the revised loading conditions. The exact adjustments and changes will need to be determined through a thorough structural analysis and design process.

Learn more about Information:

https://brainly.com/question/12947584

#SPJ11

Answer:

Our calculator limits your interest deduction to the interest payment that would be paid on a $1,000,000 mortgage. Interest rate: Annual interest rate for this

Step-by-step explanation:

The probability that the archer gets exactly 4 bull's-eyes out of 8 shots is approximately 0.191

This is an example of a binomial distribution problem, where the archer has a probability of hitting the bull's-eye of 0.49 for each arrow and we want to know the probability of getting exactly 4 bull's-eyes out of 8 shots.

The probability of getting exactly 4 bull's-eyes out of 8 shots can be calculated using the binomial probability formula

P(X = k) = (n choose k) × p^k × (1-p)^(n-k)

where

X is the number of successes (bull's-eyes)

k is the specific number of successes we want (4 in this case)

n is the total number of trials (8 in this case)

p is the probability of success on a single trial (0.49 in this case)

(n choose k) is the binomial coefficient, which represents the number of ways to choose k items from a set of n items (also written as "nCk")

Plugging in the numbers, we get

P(X = 4) = (8 choose 4) × 0.49⁴ × (1-0.49)⁴

= (8! / (4! × 4!)) × 0.49⁴ × 0.51⁴

≈ 0.191

Learn more about probability here

brainly.com/question/11234923

#SPJ4

Answer: Pressure = 16 neutons per sq. meter

Step-by-step explanation:

---

Volume = k[t/p]

---

Find "k":

16 = k[500/100]

---

k = 16/5

V = (16/5)[t/p]

---

If the volume were increased to 20 liters and the temperature reduced to 400 kelvins, what would be the pressure?

20 = (16/5)[400/p]

pressure = (16/5)[500/20]

Answer:

arc RS = 116°

Step-by-step explanation:

Since the 2 chords are congruent then their minor arcs are congruent, that is

SR = TU, substitute values

6x - 28 = 4x + 20 ( subtract 4x from both sides )

2x - 28 = 20 ( add 28 to both sides )

2x = 48 ( divide both sides by 2 )

x = 24

Then

arc RS = 6x - 28 = 6(24) - 28 = 144 - 28 = 116°

As per the linear equation concept, the radius of the circumscribed circle is √793/3

Here we have given that  a landscape architect wants to plant a circle of flowers around a triangular garden. she has sketched the triangle on a coordinate grid with vertices at a(0, 0), b(8, 12), and c(18, 0).

And we need to find the center of the circle that will circumscribe triangle ABC and then find the radius of the circumscribed circle.

In order to find the radius of the circle , we have to find the equation of the given point,

For that we have to calculate the slope and the y intercept,

The value of slope is calculated as,

=> m = (12 - 0)/(8 - 0)

=> m = 12/8

=> m = 3/2

Here the slope is the perpendicular line is calculated as,

=> m = -2/3

Now, the value of intercept is calculated as,

=> 12 = -2/3(8) + c

=> 3/2 = -2/3 + c

=> c = (9 + 6)/6

=>  c = 15/6

=> c = 5/2

Then the equation of the line is,

=> y = -2/3x + 5/2

Then the center point is calculated as x = 9,

=> y = -2/3 (9) + 5/2

=> y = -6 + 5/2

=>  y = 8/3

Therefore, the center of the circle is (9, 8/3)

And the radius is calculated as,

=> (9)² + (8/3)² = r²

=> 81 + 64/9 = r²

=> r = √793/3

To know more about equation here.

https://brainly.com/question/10413253

#SPJ4

Answer:

the answer is (-15,13)

Step-by-step explanation:

try to solve for x on one equation, like 8x+9y=-3

x=-9/3y-3/8

plug x in for the next equation

6((-9/8y)-3/8)+7y=1

(-27y/4)-9/4+7y=1

y/4-9/4=1

y/4=13/4

y=13

now plug in the y value for any equation

6x+7(13)=1

6x+91=1

6x=-90

x=-15

So the answer to the system of equations is (-15,13)

Answer: $10

Step-by-step explanation:

Sue has $10 more than Paul which means she has $20. Who is speaking has $16 more than Sue ($16 more than $20) which means they has $36.

Adding all of their money, $10, $20, and $36, equals $66

The mass of the solid is π/6.

To find the mass of the solid, we need to integrate the density function δ(ρ,ϕ,θ) = 3cos(θ/4) over the volume of the solid enclosed by the sphere ρ = cos(ϕ).

Using spherical coordinates, the volume element is given by dV = ρ² sin(ϕ)dρdϕdθ.

The limits of integration are as follows:

ρ ranges from 0 to cos(ϕ)

ϕ ranges from 0 to π/2

θ ranges from 0 to 2π

Thus, the mass of the solid can be calculated as:

M = ∭δ(ρ,ϕ,θ)dV

= ∭(3cos(θ/4))(ρ²sin(ϕ))dρdϕdθ

= 3 ∫[0 to 2π] ∫[0 to π/2] ∫[0 to cos(ϕ)] cos(θ/4)ρ²sin(ϕ)dρdϕdθ.

To evaluate the triple integral, let's integrate with respect to ρ, ϕ, and θ in that order:

∫[0 to 2π] ∫[0 to π/2] ∫[0 to cos(ϕ)] cos(θ/4)ρ²sin(ϕ)dρdϕdθ

First, let's integrate with respect to ρ:

∫[0 to cos(ϕ)] ρ²sin(ϕ) dρ = [1/3 ρ³sin(ϕ)] evaluated from 0 to cos(ϕ) = 1/3 cos³(ϕ)sin(ϕ)

Now, we integrate with respect to ϕ:

∫[0 to π/2] 1/3 cos³(ϕ)sin(ϕ) dϕ

Using a substitution u = cos(ϕ), we have du = -sin(ϕ) dϕ:

∫[0 to π/2] 1/3 u³ (-du) = -1/3 ∫[0 to π/2] u^3 du = -1/3 [1/4 u⁴] evaluated from 0 to π/2

= -1/3 [1/4 (cos(π/2))⁴ - 1/4 (cos(0))⁴]

= -1/3 [1/4 (0)⁴ - 1/4 (1)⁴]

= -1/3 [0 - 1/4]

= 1/12

Finally, we integrate with respect to θ:

∫[0 to 2π] 1/12 dθ = 1/12 [θ] evaluated from 0 to 2π

= 1/12 (2π - 0)

= π/6

To know more about mass:

https://brainly.com/question/941818

#SPJ4

according to the question

given data in the question,

the foci of an ellipse are (5,0) and (-5,0)

and vertices are (8,0) and (-8,0)

** Standard Form of an Equation of an Ellipse is  

where Pt (h k) is the center. (a variable positioned to correspond with major axis)

a and b  are the respective vertices distances from center

and  are the foci distances from center: a > b

Recommend sketching it...Foci (-5,0) (5,0) and Vertices (8,0) (-8,0).

then using √(64+b^2  )=5 to find b

64 - b^2 = 25, b = √ 39

**** The standard form of the equation is an ellipse

where Pt (h, k) is the center. (variable aligned to match long axis)

a and b are the respective vertex distances from the center.

and   are the distances from the center to the focal point.

a > b

hyperbolic equations in normal form,

C (h, k) and 2b units up and down from the centre at vertex 'b' Horizontal axis length

Focus units up and down from the center along x = h

& asymptotes straight line through C (h, k) with slope m = b/a

after that.

C (h, k) and corner 'a' are units left and right of the center, 2a is the length of the horizontal axis

The focal points are units left and right of the center along y = k.

asymptotes straight line through C (h, k) with slope m = b/a

parabolic vertex form open to the top (a>0) or bottom (a<0 x=removed>0) or left (a<0),

where (h, k) is the vertex and y = k is the line of symmetry.

The standard form is where the focus is (h + p, k )

To know more about hyperbola visit

https://brainly.com/question/27842203

** Standard Form of an Equation of an Ellipse is  

where Pt (h k) is the center. (a variable positioned to correspond with major axis)

a and b  are the respective vertices distances from center

and  are the foci distances from center: a > b

Recommend sketching it...Foci (-5,0) (5,0) and Vertices (8,0) (-8,0).

then using √(64+b^2  )=5 to find b

64 - b^2 = 25, b = √ 39

**** The standard form of the equation is an ellipse

where Pt (h, k) is the center. (variable aligned to match long axis)

a and b are the respective vertex distances from the center.

and   are the distances from the center to the focal point.

a > b

hyperbolic equations in normal form,

C (h, k) and 2b units up and down from the center at vertex 'b' Horizontal axis length

Focus units up and down from the center along x = h

& asymptotes straight line through C (h, k) with slope m = b/a

after that.

C (h, k) and corner 'a' are units left and right of the center, 2a is the length of the horizontal axis

The focal points are units left and right of the center along y = k.

asymptotes straight line through C (h, k) with slope m = b/a

parabolic vertex form open to the top (a>0) or bottom (a<0 x=removed>0) or left (a<0),

where (h, k) is the vertex and y = k is the line of symmetry.

The standard form is where the focus is (h + p, k )

To know more about hyperbola visit

https://brainly.com/question/27842203

#SPJ1

The equation of the ellipse with foci as (5,0) and (-5,0) is

\(\frac{x^2}{49}+\frac{y^2}{24}=1\)

A plane section of a right circular cone that is a closed curve is produced by a point moving in such a way that the sum of its distances from two fixed points is a constant.

Ax2 + Bxy + Cy2 + Dx + Ey + F = 0 is the equation in standard form for a conic section. Here, A, B, C, D, E, and F are all real integers, and A 0, B 0, and C 0. The conic section is an ellipse if B2 - 4AC 0.

where the center is Pt(h,k). (a variable placed such that it lines up with the main axis)

The relative vertices' distances from the center are a and b.

the foci's separations from the center are: a > b

It's suggested that you sketch it: Vertices (-7,0), Focus (-5,0), and (5,0). (7,0).

then finding b 

 when 49 - b2 = 25.

The relative vertices' distances from the center are a and b.

furthermore, 

the foci's separations from the center are: a > b

The equation for an opening up and down hyperbola

 having C(h,k), vertices "b" units up and down from the center, and a transverse axis length of 2b.

Foci

29 units away from the center, along x = h

& Asymptotes Lines Through C(h,k), Slope m = b/a

Equation of a Hyperbola Opening Right and Left Standard Form:

with C(h,k), vertices 'a' units to the right and left of the center, and 2a the transverse axis length

y = k along 29 units to the right and left of the center

& Asymptotes Lines through C(h,k), slopes m = b/a

 is the vertex form of a Parabola with an opening up (a>0) or down (a0).

where the vertex is (h,k), and the line of symmetry is (x = h).

The conventional form is  with (h,k + p) as the main focus.

the vertex form of a Parabola opening right(a>0) or left(a0).

where y = k is the Line of Symmetry and (h,k) is the vertex

To learn more about ellipse click the following link:-

https://brainly.com/question/450229

#SPJ4

Answer:

x = -30

Step-by-step explanation:

25 = -7 (x+5) +5x            expand brackets

25 = -7x -35 +5x             simplify

25 = -2x -35                    add 35 to both sides

60 = -2x                          multiply by sides by -1

-60 =2x                           divide by 2

x =-30

Answer:

-30

Step-by-step explanation:

25= -7x-35+5x

25+35= -2x

60= -2x both side by -2

-30=x

Since 0 is greater than -4 in the expression 4.1m >-16.4, hence zero is a solution to this inequality

Given the following inequality, we are to check which of them has zero as a solution.

For the expression

4.1m >-16.4

m > -16.4/4.1

m > -4

Since 0 is greater than -4, hence zero is a solution to this inequality

Learn more on inequality here: https://brainly.com/question/24372553

Answer:

67°

Step-by-step explanation:

Given:

Height of helicopter from the ground, x = 665 feet

Distance from the helicopter to the girl's line of sight(opposite) = 665ft - 5 ft = 600 ft

Horizontal distance(adjacent) =  280 ft

To find the angle of depression, use the formula:

\( tan y = \frac{x}{y} \)

Solve for y:

\(y = tan^-^1 (\frac{x}{y})\)

\(y = tan^-^1 (\frac{660}{280}) = 67.01\)

Angle of depression = 67°

Answer:

67 degrees

Step-by-step explanation: