if u evenly divide 2/3 of a pound of soap into 5 bars.
How much will each bar get?

The uniform continuous probability for the interval (25 < x < 45) within the uniform distribution U(15, 65) can be found by calculating the proportion of the total range that falls within that interval.

To calculate the probability, we need to determine the length of the interval (45 - 25) and divide it by the length of the entire range (65 - 15).

Length of the interval: 45 - 25 = 20

Length of the entire range: 65 - 15 = 50

Now, we divide the length of the interval by the length of the entire range to obtain the probability:

Probability = (Length of interval) / (Length of entire range) = 20 / 50 = 0.4

Therefore, the uniform continuous probability for p(25 < x < 45) within the uniform distribution U(15, 65) is 0.4, rounded to one decimal place.

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Answer:

12 servings

Step-by-step explanation:

Please let me know if you want me to write an explanation for my answer :)

The equation that can be used to find the number of nickels in Bodhi's collection is 0.10(175 - n) + 0.05n = 13.30.

To find the equation that can be used to find the number of nickels in Bodhi's collection, let's break down the information provided.

We are given that Bodhi has a collection of 175 dimes and nickels, and the total value of the collection is $13.30. We need to find the equation to determine the number of nickels, represented by 'n', in the collection.

Let's start by assigning variables to the number of dimes and nickels. Let 'd' represent the number of dimes, and 'n' represent the number of nickels.

We know that the total number of dimes and nickels in the collection is 175, so we can write the equation:

d + n = 175

Next, we need to consider the value of the collection. We are told that the total value is $13.30. Each dime is worth $0.10 and each nickel is worth $0.05. So, the total value equation can be written as:

0.10d + 0.05n = 13.30

Now, we can rearrange the first equation to solve for 'd':

d = 175 - n

Substituting this value of 'd' into the second equation, we get:

0.10(175 - n) + 0.05n = 13.30

Simplifying this equation, we get:

17.50 - 0.10n + 0.05n = 13.30

Combining like terms, we have:

0.05n = 13.30 - 17.50

0.05n = -4.20

Dividing both sides of the equation by 0.05, we get:

n = -4.20 / 0.05

n = -84

Since the number of nickels cannot be negative, we discard this solution. Therefore, there is no valid solution for the number of nickels in the collection.

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The first term on the left-hand side represents the flux of the quantity D(pu δ) across the cell boundaries, and the second term represents the change of this flux within the cell.

To integrate the 1D steady-state convection-diffusion equation over a typical cell, we can start with the given equation:

D/dx(pu δ) = d/dx (rd δ/dx)

Here, D is the diffusion coefficient, p is the velocity, r is the reaction term, u is the concentration, and δ represents the Dirac delta function.

To integrate this equation over a typical cell, we need to define the limits of the cell. Let's assume the cell extends from x_i to x_i+1, where x_i and x_i+1 are the boundaries of the cell.

Integrating the left-hand side of the equation over the cell, we have:

∫[x_i to x_i+1] D/dx(pu δ) dx = D∫[x_i to x_i+1] d(pu δ)/dx dx

Using the integration by parts technique, the integral can be written as:

= [D(pu δ)]_[x_i to x_i+1] - ∫[x_i to x_i+1] d(D(pu δ))/dx dx

Similarly, integrating the right-hand side of the equation over the cell, we have:

∫[x_i to x_i+1] d/dx (rd δ/dx) dx = [rd δ/dx]_[x_i to x_i+1]

Combining the integrals, we get:

[D(pu δ)][x_i to x_i+1] - ∫[x_i to x_i+1] d(D(pu δ))/dx dx = [rd δ/dx][x_i to x_i+1]

This equation can be further simplified and manipulated using appropriate boundary conditions and assumptions based on the specific problem at hand.

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Answer:

Mr Tan's daughter received $620

Step-by-step explanation:

the son received $460

$460 × 2 = $920

the wife received $920

$920 - $300 = $620

$460 + $920 + $620 = $2000

The strongest influence on your behavior of taking home company supplies is the norm of social conformity within the workplace.

Social conformity refers to the tendency of individuals to adjust their behavior, thoughts, and actions to match the perceived norms of a particular social group. In the workplace, employees often observe the behavior of their peers and conform to their actions to fit in and be accepted.

When you witness your fellow employees regularly taking home company supplies, it creates a perceived norm that this behavior is acceptable or tolerated within the organization.

As a result, you may feel compelled to engage in similar behavior to conform and avoid standing out or facing social disapproval. The influence of social conformity can be strong, leading individuals to adopt behaviors they may otherwise consider wrong or unethical.

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Answer:

17.2

hi, how is your day?

Answer: 17.2

Step-by-step explanation:

The game with 8 minutes of time-outs is 98 minutes long.

What is an algebraic expression?

An algebraic expression is a mathematical phrase that can contain numbers, variables, and operations such as addition, subtraction, multiplication, and division.

In this case, the algebraic expression that represents the length of the soccer game would be:

m = 90 + x

where m represents the total length of the game in minutes, 90 represents the fixed length of the game, and x represents the variable length of time-outs in minutes.

To find the length of the game with 8 minutes of time-outs, we substitute x = 8 into the expression:

m = 90 + 8 = 98

Therefore, the game with 8 minutes of time-outs is 98 minutes long.

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Using the range concept, it is found that the method used to find it is:

Find the difference between the maximum and minimum values.

The range of a data-set is given by the difference between the maximum value in the data-set and the minimum value in the data-set.

Hence, the correct option about the method used to find the range is:

Find the difference between the maximum and minimum values.

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Answer:

(B)  Find the difference between the upper and lower quartiles.

Answer:

rjeov oke eieie

Step-by-step explanation:

The Diwali occurred on 0.408 or 40.8% of the year in 2017.

To find the fraction of the year that Diwali occurred in 2017, we need to divide the number of days between Diwali and the start of the year by the total number of days in the year.

Diwali occurred on Thursday, October 19, 2017. The start of the year 2017 is January 1, 2017 which is a Sunday.

There are 365 days in a non-leap year. Since 2017 is not a leap year, there are 365 days in that year.

So the fraction of the year that Diwali occurred in 2017 can be calculated as: (days between Diwali and the start of the year) / (total days in the year) = ( 19 + 31 + 30 + 31 + 30 + 19 ) / 365 = (148) / 365 = 0.408

So, the Diwali occurred on 0.408 or 40.8% of the year in 2017.

Therefore, Diwali occurred on 0.408 or 40.8%

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The diagonal measurement as √5625 ft, which is approximately 75 feet, the correct answer is B. 75 ft 0 in.

The diagonal measurement of the rectangular slab on grade can be found using the Pythagorean theorem. The diagonal is the hypotenuse of a right triangle formed by the length and width of the slab.

To calculate the diagonal measurement, we can apply the Pythagorean theorem:

Diagonal² = Length² + Width²

Substituting the given values, we have:

Diagonal² = (60 ft 0 in.)² + (45 ft 0 in.)²

Calculating this expression, we find:

Diagonal² = 3600 ft² + 2025 ft²

Diagonal² = 5625 ft²

Taking the square root of both sides, we obtain:

Diagonal = √5625 ft

Diagonal ≈ 75 ft

Therefore, the diagonal measurement of the rectangular slab on grade is approximately 75 feet.

To find the diagonal measurement of the rectangular slab on grade, we can use the Pythagorean theorem,

which states that in a right triangle, the square of the length of the hypotenuse (diagonal) is equal to the sum of the squares of the other two sides (length and width).

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The point estimate of the difference in the population mean exercised between underclassmen and upperclassmen is 0.16 hours.

In this case, we are estimating the difference in population means between two groups - upperclassmen and underclassmen. The point estimate is calculated by subtracting the sample mean of the underclassmen from the sample mean of the upperclassmen, which gives us

0.76 - 0.60 = 0.16.
the point estimate of the difference in population mean exercised between underclassmen and upperclassmen is 0.16 hours, which was calculated by subtracting the sample mean of underclassmen from the sample mean of upperclassmen.
Point Estimate = (Sample Mean of Upperclassmen) - (Sample Mean of Underclassmen)
Point Estimate = (0.76) - (0.60)
Point Estimate = 0.16

Hence, the point estimate of 0.16 suggests that, on average, upperclassmen exercised 0.16 hours more than underclassmen in the past 24 hours. This is a rough estimate of the difference between the two population means based on the provided sample data.

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Answer:

$277.75

5.50×40=220

5.50÷2=2.75

5.50+2.75=8.25×7=57.75

57.75+220=277.75

The number 36 can be broken up into two factors, 6 and 6, which are both perfect squares.

The number 36 can be broken up into two factors, 6 and 6, which are both perfect squares. When we say a number is a perfect square, it means that it is the square of an integer. In this case, both 6 and 6 can be expressed as the square of the integer 3, because 3 multiplied by itself equals 9.

Therefore, 6 is a perfect square. By multiplying the factors 6 and 6 together, we obtain the original number 36. Breaking down a number into its perfect square factors is a useful technique in mathematics, as it allows us to simplify calculations involving square roots or evaluate expressions more easily.

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Answer:

whats the question

Step-by-step explanation:

Lilly needs 686 dark power crystals to raise 6174 zombies.

To solve this problem, we need to determine how many dark power crystals are needed to raise a specific number of zombies. We know that each crystal can raise 9 zombies. So, to determine the number of crystals needed to raise a given number of zombies, we simply divide that number by 9.

In this case, we want to know how many crystals Lilly needs to raise 6174 zombies. So we divide 6174 by 9

= 6174 / 9

Divide the numbers

= 686

This means that Lilly needs 686 dark power crystals to raise 6174 zombie

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The given question is incomplete, the complete question is:

Lilly is using dark power crystals to raise an army of zombies.each crystal can raise 9 zombies. how many crystal does Lily need to raise 6174 zombies​

Answer:

  (i) x = 17 cm

  (ii) one end: 360 cm²; both ends: 720 cm²

  (iii) 14,400 cm³

  (iv) 4000 cm²

Step-by-step explanation:

You want the slant height, base area, volume, and total surface area of a trapezoidal prism with the base isosceles trapezoid having parallel base lengths of 32 and 16, and a height of 15. The distance between bases is 40. All units are cm.

If a center rectangle 16 cm wide and 15 cm high is cut from the base trapezoid, the remaining two triangles have a base of 8 cm and a height of 15 cm. The Pythagorean theorem can be used to find the slant height:

  x² = a² +b²

  x² = 8² +15² = 64 +225 = 289

  x = √289 = 17

The slant height, x, is 17 cm.

The area of the base trapezoid is given by the formula ...

  A = 1/2(b1 +b2)h

  A = 1/2(32 +16)(15) = 360 . . . . square cm

The area of one end surface is 360 cm²; the total area of both end surfaces is 720 cm².

The volume of the prism is the product of the base area and the length of the prism.

  V = Bh

  V = (360 cm²)(40 cm) = 14,400 cm³

The volume of the trapezoidal prism is 14,400 cm³.

The lateral surface area of the prism is the product of the perimeter of the base and the distance between bases.

  LA = Ph

  LA = (32 +16 +2·17 cm)(40 cm) = 3280 cm²

The total surface area is the sum of the lateral area and the area of the two bases:

  SA = LA +2B = (3280 cm²) + 2(360 cm²) = 4000 cm²

The total surface area of the prism is 4000 square centimeters.

__

Additional comment

It appears that the top dashed line in the figure is drawn that way in error. It appears to identify a visible edge, so we expect it to be a solid line.

Answer:

What is a life cap?

A life cap, or lifetime cap or rate cap, is the maximum amount that a borrower’s interest rate can increase over the term of the loan. The life cap represents either a total absolute rate or percentage change in the rate.

Deeper definition

Adjustable-rate mortgages (ARMs) usually come with a series of caps that limit how much interest can be charged to the borrower after the fixed-interest period ends. The initial adjustment cap limits the change in interest for the first time rates are adjusted, and there are subsequent, or periodic, interest caps to cover upcoming changes in the interest rate.

Life caps limit how much interest the lender can charge over the term of the entire term. Usually expressed as an absolute percentage, or a change in percentage, life caps may differ between lenders but should be spelled out in the loan agreement.

Lifetime caps represent the highest rate at which interest can be charged. However, ARM interest rates can actually decrease after the fixed-interest period. Additionally, lifetime caps don’t affect other costslike transaction and late fees, which are factored along with the interest rate into the annual percentage rate (APR).

Wondering how a life cap will affect your payments? Use Bankrate’s mortgage calculator to find out how much you’ll owe.

Life cap example

James acquired a loan from a bank with 7 percent as the initial interest rate. The bank allows adjustments every three months, but has a life cap of 3 percent. Therefore, the maximum interest rate Jack will ever have to pay is 10 percent.

There you go

Answer: A) A limit on how much an ARM's interest rate can change over the

life of a mortgage.

Step-by-step explanation: took the quiz.

Answer:

8/10

Step-by-step explanation:

The rise on the y axis is eight and the run on the x axis is 10

(Hope this helped)

Answer:

2

Step-by-step explanation:

5-3=2

Answer:

2

Step-by-step explanation:

5 - 3 = 2

The corresponding intervals for diameters of the washers as given in the task content is; 3.44 ≤ d ≤ 3.76.

It follows from the task content that the corresponding interval for ths diameter of the washers is to be determined given the circumference interval.

On this note, since the formula given is;

C = 3.14d.

By making d the subject of the formula;

d = C / 3.14.

Therefore, since the lower limit of the circumference is; 10.8 and the upper limit is; 11.1

The lower and upper limit of the diameter, d can be evaluated as follows;

lower limit of d is; d = 10.8 / 3.14 = 3.44

Upper limit of d is; d = 11.1 / 3.14 = 3.76

Therefore, the required interval for diameters of the washers is; 3.44 ≤ d ≤ 3.76.

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hello

the answer to the question is B)

Answer:

11x = 19

Step-by-step explanation

5x + 2y = 5  and 3x - y = 14

5x + 2(3x -14) =5 and y = 3x -14

5x + 6x -  28 = 5 and  y = 3x -14

11x = 33  and y = 3x -14

x = 3 and y = 3 x 3 -14 = -5

11x =19 <=> x = 11/19 (F)

11x = 33 <=> x= 3 (T)

11y = -55 <=> x= -5 (T)

(a) Line integral: 13/2.

(b) Surface integral: 27.

(c) Surface integral: 0 (by divergence theorem).

(a) To evaluate the line integral ∫CFdr, we parameterize the line segment from the origin to (1, 3, 1) as r(t) = ti + (3t)j + tk, where t ranges from 0 to 1. Then, dr = i + 3j + k dt. Substituting these values into F, we have F = yi + 2zj + (1 - z)k = (3t)i + 2(tk)j + (1 - tk)k. Taking the dot product of F and dr, we get F.dr = (3t)(dt) + 6t(dt) + (1 - tk)(dt). Evaluating this expression from t = 0 to t = 1, we find that ∫CFdr = ∫₀¹ (3t + 6t + (1 - tk)) dt = 13/2.

(b) To evaluate the surface integral ∫SF.dA, we first parameterize the rectangle as r(u, v) = ui + vj + 0k, where u ranges from 0 to 2 and v ranges from 1 to 4. Then, we calculate the cross product of ∂r/∂u and ∂r/∂v to obtain the unit normal vector n = k. Substituting these values into F, we have F = yi + 2zj + (1 - z)k = yj + k. Taking the dot product of F and dA = ∂r/∂u × ∂r/∂v du dv, we get F.dA = (v) dv du. Evaluating this expression over the given range, we find ∫SF.dA = ∫₁⁴ ∫₀² v dv du = 27.

(c) To evaluate the surface integral ∫SF.dA, where S is the sphere of radius 2 centered at the origin, we use the divergence theorem. The divergence of F is ∇ · F = d/dx(y) + d/dy(2z) + d/dz(1 - z) = 1 - 2 + 0 = -1. Since the sphere is closed, the outward flux through the surface is zero. Therefore, ∫SF.dA = 0.

In summary, (a) ∫CFdr = 13/2, (b) ∫SF.dA = 27, and (c) ∫SF.dA = 0.

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To determine the explicit rule for the nth term of the given geometric sequence 5, 20, 80, 320, 1,280, ..., use the formula:`an = a1 * r^(n - 1)`, where an represents the nth term of the sequence.`a1`represents the first term of the sequence.`r` represents the common ratio between terms of the sequence.

The given sequence is 5, 20, 80, 320, 1,280, ...Let's now apply the formula to find the explicit rule for the nth term of the given sequence.`an = a1 * r^(n - 1)`Where a1 = 5 (first term of the sequence)`r` can be found by dividing any term by the preceding term, as `r = (second term) / (first term)`In this case,`r = (20) / (5) = 4`

Substituting the values in the formula:`an = a1 * r^(n - 1)``an = 5 * 4^(n - 1)` Therefore, the explicit rule for the nth term of the given geometric sequence is `an = 5 * 4^(n - 1)`.You can use this formula to find the value of any term in the sequence, given its position (n) in the sequence.For example, to find the 150th term of the sequence, substitute n = 150 in the formula: `a150 = 5 * 4^(150 - 1)`. This simplifies to `a150 = 1.442 x 10^90`.

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It looks like you want to find

\(\displaystyle \int_1^4 x f''(x) \, dx\)

Integrate by parts:

\(u = x \implies du = dx\)

\(dv = f''(x) \, dx \implies v = f'(x)\)

Then

\(\displaystyle \int_1^4 x f''(x) \, dx = x f'(x) \bigg|_{x=1}^{x=4} - \int_1^4 f'(x) \, dx\)

By the fundamental theorem of calculus,

\(\displaystyle \int_1^4 f'(x) \, dx = f(4) - f(1)\)

so that

\(\displaystyle \int_1^4 x f''(x) \, dx = 4 f'(4) - f'(1) - f(4) + f(1) = 12 - 7 - 8 + 4 = \boxed{1}\)

The coordinate vector of b relative to F is:

bf = [ 4 ]
      [-2]

To find the coordinates of b with respect to the basis F, we need to express b as a linear combination of f1 and f2:

b = a1f1 + a2f2

where a1 and a2 are scalars. We want to find a1 and a2.

Substituting in the given values for b, f1, and f2, we get:

[-2] = a1[0] + a2[-1]
[0]  = a1[-1] + a2[-1]

Simplifying these equations, we get:

a2 = 2
a1 + a2 = 0

Solving for a1, we get:

a1 = -2

Therefore, we can express b as:

b = -2f1 + 2f2

To find the coordinate vector of b with respect to the basis F, we simply put the coefficients of f1 and f2 into a column vector:

bf = [-2]
    [ 2]
To find the coordinates of b relative to the ordered basis F, we need to express b as a linear combination of f1 and f2. We have:

b = [-2]
   [-2]

f1 = [ 0]
    [-1]

f2 = [ 1]
    [-1]

We want to find scalars x and y such that:

b = x * f1 + y * f2

Substituting the values, we get:

[-2] = x * [ 0] + y * [ 1]
[-2]       [-1]       [-1]

Solving for x and y:

-2 = 0x + 1y => y = -2
-2 = -1x + (-1y) => -2 = -x + 2 => x = 4

So, we have:

b = 4 * f1 + (-2) * f2

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