Igbal attempts three practice papers in mathematics. The probability that he passes the first paper is 0.6. Whenever he gains a pass in a paper, his confidence increases so that the probability of him passing the next paper increases by 0.1. Whenever he fails a paperthe probability of him passing the next paper is 0.6.Calculate the probability that Iqbal passes at least two of the papers he attempts.

X+X+X+X+X+X+X/7=82

X+X+X+X+X+X+X+X/8=85

X+X+X+X+X+X+X=574

X+X+X+X+X+X+X+X=680

X=106

You need to score 106

Hope this helps :D

The coordinates of A'', B'' and C'' are (-1, 4), (-4, 3) and (-1, 2) respectively.

Transformation of geometrical figures or points is the manipulation of a given figure to some other way.

Different types of transformations are Rotation, Reflection, Glide reflection, Translation and Dilation.

Given triangle has coordinates,

A(2, -2), B(5, -3) and C(2, -4).

First the triangle is translated by the rule (x, y) → (x - 1, y + 6)

A(2, -2) becomes A'(2 - 1, -2 + 6) = A'(1, 4).

B(5, -3) becomes B'(5 - 1, -3 + 6) = B'(4, 3)

C(2, -4) becomes C'(2 - 1, -4 + 6) = C'(1, 2)

Then the translated triangle is reflected across the Y axis.

When reflected a point (x, y) across the Y axis, y coordinate remains same and x coordinate flips.

A'(1, 4) becomes A''(-1, 4)

B'(4, 3) becomes B''(-4, 3)

C'(1, 2) becomes C''(-1, 2)

Hence the vertices of the triangle after undergoes translation and reflection becomes A''(-1, 4), B''(-4, 3) and C''(-1, 2).

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a.we get, `A = √(2α³/π)`.

b.`⟨H⟩ = (3/4)hω - (h²/4ma²)` where `a = α/√(mω/h)`.

c.we can say that the variational principle is valid in this case.

(a) Let's find the normalization constant A.

We know that the integral over all space of the absolute square of the wave function is equal to 1, which is the requirement for normalization.  `∫⟨ψ|ψ⟩dx= 1`

Hence, using the given trial wavefunction, we get, `∫⟨ψ|ψ⟩dx = ∫ |A/(x^2+α²)|²dx= A² ∫ dx / (x²+α²)²`

Using a substitution `x = α tan θ`, we get, `dx = α sec² θ dθ`

Substituting these in the above integral, we get, `A² ∫ dθ/α² sec^4 θ = A²/(α³) ∫ cos^4 θ dθ`

Using the identity, `cos² θ = (1 + cos2θ)/2`twice, we can write,

`A²/(α³) ∫ (1 + cos2θ)²/16 d(2θ) = A²/(α³) [θ/8 + sin 2θ/32 + (1/4)sin4θ/16]`

We need to evaluate this between `0` and `π/2`. Hence, `θ = 0` and `θ = π/2` limits.

Using these limits, we get,`⟨ψ|ψ⟩ = A²/(α³) [π/16 + (1/8)] = 1`

Therefore, we get, `A = √(2α³/π)`.

Hence, we can now write the wavefunction as `ψ(x) = √(2α³/π)/(x²+α²)`.  

(b) Using the wave function found in part (a), we can now determine the expectation value of energy using the time-independent Schrödinger equation, `Hψ = Eψ`. We can write, `H = (p²/2m) + (1/2)mω²x²`.

The first term represents the kinetic energy of the particle and the second term represents the potential energy.

We can write the first term in terms of the momentum operator `p`.We know that `p = -ih(∂/∂x)`Hence, we get, `p² = -h²(∂²/∂x²)`Using this, we can now write, `H = -(h²/2m) (∂²/∂x²) + (1/2)mω²x²`

The expectation value of energy can be obtained by taking the integral, `⟨H⟩ = ⟨ψ|H|ψ⟩ = ∫ψ* H ψ dx`Plugging in the expressions for `H` and `ψ`, we get, `⟨H⟩ = - (h²/2m) ∫ψ*(∂²/∂x²)ψ dx + (1/2)mω² ∫ ψ* x² ψ dx`Evaluating these two integrals, we get, `⟨H⟩ = (3/4)hω - (h²/4ma²)` where `a = α/√(mω/h)`.

(c) Since we have an approximate ground state wavefunction, we can expect that the expectation value of energy ⟨H⟩ should be greater than the true ground state energy.

Hence, the value obtained in part (b) should be greater than the true ground state energy obtained by solving the Schrödinger equation exactly.

Therefore, we can say that the variational principle is valid in this case.

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Answer:

Please check the options

Step-by-step explanation:

In 16 hours = $400

In 1 hour = 400/16

In 1 hour = $25/h

Answer:

The set of numbers that includes only whole numbers is 2, 5, 6, 15

Step-by-step explanation:

Whole numbers belong to the subset of positive integers such as 0, 1, 2, 3,..... Whole numbers consists of the set of natural numbers which are the numbers we use in counting including 0 which as specified in the question is a subset of the set of integers and can be produced by the addition and or subtraction   of 1s to each other such as 1 - 1 = 0

Therefore, the set of numbers that includes only whole numbers is 2, 5, 6, 15.

Answer: It’s C guys plz give me brainliest :)

Step-by-step explanation:

A property of equality that you should apply to keep the equation 22 . a = 242 in balance when solving include the following: A. The division property of equality.

In Mathematics and Geometry, the subtraction property of equality states that the two (2) sides of an algebraic expression or equation would still remain equal even when the same number has been subtracted from both sides of an equality.

Based on the information provided above, we can logically deduce the following equation:

22 . a = 242

22 × a = 242

By applying the division property of equality, we have the following:

a = 242/22

a = 11.

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Answer:

the remainder for both expressions is zero

Step-by-step explanation:

The wind speed was 100 km / h, and the average speed of the plane was 800 km / h.

Since an airliner traveling from Paris to Toronto took 7 h to cover the 6300 km trip with a tailwind, and the return trip, traveling against a headwind took 9 h, to find the wind speed and the average speed of the plane, the following calculation must be performed:

Therefore, the wind speed was 100 km / h, and the average speed of the plane was 800 km / h.

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The equation x + (60 + 70)° = 180° is used to solve for the measure of the vertical angle x = 50°

Vertical angles also called vertically opposite angles are formed when two lines intersect each other, the opposite angles formed by these lines are vertically opposite angles and are equal to each other.

The angle y and x form vertical angles, so x = y

Angle y form a straight line with 60° and 70° so we have the equation to solve for x as:

x + 60° + 70° = 180° {sum of angles on a straight line}

x + 130° = 180°

x = 180° - 130° {subtract 139° from both sides}

x = 50°

Therefore, the measure of the vertical angle x is equal to 50° derived with the equation x + (60° + 70°) = 180°.

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Answer:

I believe its C- 25%

Step-by-step explanation:

If you count how far it is from 15 to 20 (5) and divide that by 1/20 you should end up with 0.25. Turn that into a percent and you get 25%.

Let me know if Im wrong!

The percentage of the time will Oliver arrive between 15 and 20 minutes late to work is 25%. The correct option is 3.

A probability density function, also known as the density of a continuous random variable in probability theory, is a function whose value at any given sample in the sample space can be interpreted as providing a relative likelihood that the random variable's value will be equal to that sample.

The total area under the uniform density curve between 10 and 30 is equal to 1, which represents 100% of the time.

To find the percentage of the time that Oliver arrives between 15 and 20 minutes late, we need to find the area of the uniform density curve between 15 and 20 and then convert it to a percentage.

The width of the uniform density curve between 15 and 20 is 5 units (20 - 15 = 5), and the height is 1/20. Therefore, the area of this region is:

Area = width x height = 5 x (1/20) = 1/4

To convert this to a percentage, we multiply by 100:

Percentage = (Area/Total area) x 100% = (1/4) x 100% = 25%

Therefore, the answer is 25%.

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Answer:

150-1/2 (150.5) cups of flour

Step-by-step explanation:

We know there is a ratio of 32.25 / 1.5 (32-1/4 cups of flour for every 1 1/2 batches of pie that she makes). X is the unknown (as we are trying to solve for flour) so we can set up the problem as such:

32.25    =     x  

1.5                 7

Now we cross multiply to solve:

1.5(x) = 7(32.25)

1.5x = 225.75  -- Simplify then divide both sides by x (to isolate the variable)

x = 150.5

Answer: She uses 32 ¼ cups of flour for every 1 ½ batches of pie

Let’s make it into whole numbers to start…

She uses 64 ½ cups of flour for every 3 batches of pie

She uses 129 cups of flour for every 6 batches of pie

She uses 129/6 cups of flour for every 1 batch of pie

She uses 7 x 129/6 cups of flour for every 7 batches of pie

= 150 ½ cups of flour

Answer:

A handtowel costs $2.00 and a bathtowel is $9.00

Step-by-step explanation:

Let h equal the cost of a handtowel. And let b equal the cost of a bathtowel.

In Campbell, they spent:

255 = 6h + 27b

In Lowell, they spent:

343 = 50h + 27b

Solve the system.

see image.

The solution to the problem is the simplified expression: 5x³ - x² - 3x + 13.

To solve the given problem, you need to simplify and combine like terms. Start by adding the coefficients of the same degree terms.

(3x³ - x² + 4) + (2x³ - 3x + 9)

Combine the like terms:

(3x³ + 2x³) + (-x²) + (-3x) + (4 + 9)

Simplify further:

5x³ - x² - 3x + 13

In this expression, the highest power of x is ³, and the corresponding coefficient is 5. The term -x² represents the square term, -3x represents the linear term, and 13 is the constant term. The simplified expression does not have any like terms left to combine, so this is the final solution.

Remember to check for any specific instructions or constraints given in the problem, such as factoring or finding the roots, to ensure you address all requirements.

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Using the arrangements formula, it is found that:

a) There are 1365 possible outcomes that contain exactly four tails.

b) There are 1,307,674,399,889 possible outcomes that contain at least three heads.

The number of possible arrangements of n elements is given by the factorial of n, that is:

\(A_n = n!\)

When there are repetitions, the number of ways is given as follows:

\(A_{n}^{n_1, n_2, \cdots, n_n} = \frac{n!}{n_1!n_2! \cdots n_n!}\)

In which \(n_1, n_2, \cdots, n_n\) are the numbers of repetitions.

Item a:

11 heads and 4 tails, hence:

\(A_{15}^{11,4} = \frac{15!}{11!4!} = 1365\)

There are 1365 possible outcomes that contain exactly four tails.

Item b:

The total number is:

\(A_{15} = 15! = 1,307,674,400,000\)

With no heads:

\(A_{15}^{15,0} = \frac{15!}{15!0!} = 1\)

With one head:

\(A_{15}^{14,1} = \frac{15!}{14!1!} = 15\)

With two heads:

\(A_{15}^{13,2} = \frac{15!}{13!2!} = 95\)

Hence the number of outcomes with less than three heads is:

1 + 15 + 95 = 111

With at least three heads, the number of outcomes is:

\(1,307,674,400,000 - 111 = 1,307,674,399,889\)

There are 1,307,674,399,889 possible outcomes that contain at least three heads.

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Answer: \(55^{\circ}\)

Step-by-step explanation:

Angles on a straight line add to \(180^{\circ}\).

Answer:

15%

Step-by-step explanation:

percentage of students in first year studying law = 30%

half of the first year law student are male. that is 15% are male

Therefore, percentage of the college students in year one studying law = 15%

Check the picture below.

Answer:

m∠3 = 92

Step-by-step explanation:

45 + 47 = 92

Check:

180 - 92 = 88

180 - 88 = 92

The surface temperature is found to be  approximately 11°C.

Given:

Pipe inner diameter, di = 4cm

= 0.04m

Pipe outer diameter, do = 4.6cm

= 0.046m

Thermal conductivity of stainless steel, kss = 15 W/m.K

Thickness of glass wool insulation, L = 3.5cm

= 0.035m

Thermal conductivity of glass wool insulation, kgi = 0.038 W/m.K

Outer emissivity of the insulation, εo = 0.3

Heat transfer coefficient inside the pipe, hi = 80 W/m2.K

Film temperature, Tfilm = 10°C = 283K

Air velocity, V = 2m/s

Air viscosity, μ = 1.426 × 10–5m2/s

Air thermal conductivity, ka = 0.02439 W/m.K

Air Prandtl number, Pr = 0.7336

Outer surface temperature of the insulation is T∞ = 3°C = 276K

The surface temperature of the insulation is given by;

Ts = T∞ + q″Rout/hsq″

= hi (Tsteam – Ts) …(1)

The overall resistance to heat transfer from steam to the surrounding air and surfaces is given by;

Rtot = Ri + Rk + Ro + Rconv + Rrad

Ri = (ln(do/di))/(2πkss)

= (ln(0.046/0.04))/(2 × π × 15)

= 0.0001926 m2.K/W…(2)

Rk = L/(2πkgi)

= 0.035/(2π × 0.038)

= 0.0145 m2.K/W…(3)

Ro = 1/(2πεoσout) [(1/do) – (1/di)]

= [1/(2π × 0.3 × 5.67 × 10–8)][(1/0.046) – (1/0.04)]

= 0.004685 m2.K/W…(4)

Rconv = 1/hs

= 1/hi

= 0.0125 m2.K/W…(5)

Rrad = 1/(εoσout) [(1/do) – (1/di)]

= [1/(0.3 × 5.67 × 10–8)][(1/0.046) – (1/0.04)]

= 0.0028 m2.K/W…(6)

Rtot = Ri + Rk + Ro + Rconv + Rrad

= 0.0001926 + 0.0145 + 0.004685 + 0.0125 + 0.0028

= 0.0346776 m2.K/W…(7)

From equation (1);

q″ = hi (Tsteam – Ts)

q″ = (Tsteam – Ts)/Rtot

(Tsteam – Ts) = q″ Rtot

(Tsteam – Ts) = hi

q″ Rtot TsTsteam = Ts + hi

q″ RtotTsteam = 276 + (80 × π × 0.04 × 0.6)/3600 × (693.7 – 276 + 0.24 × 5.67 × 10–8 × [(693.7)4 – (276)4])

Tsteam = 693.7K

Ts = T∞ + q″Rout/hs

Ts = 276 + (693.7 – 276) × 0.004685/80

Ts = 284.54K

The surface temperature is 284.54 - 273.15 = 11.39 °C.

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Answer:

fdgtevzchrvbbdnxvytevjirj

Asking subject matter experts to rate each item in a test would be most helpful in strengthening the content validity of a test

Asking subject matter experts to rate each item in a test would be most helpful in strengthening the content validity of a test. Content validity refers to the extent to which a test accurately measures the specific content or domain it is intended to assess. By involving subject matter experts, who are knowledgeable and experienced in the domain being tested, in the evaluation of each test item, we can gather expert opinions on the relevance, representativeness, and alignment of the items with the intended content. Their input can help ensure that the items are appropriate and adequately cover the content area being assessed, thus enhancing the content validity of the test.

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Answer:

796 feet

Step-by-step explanation:

Using Manning's equation, we find that the slope of the bed of a rectangular channel with a width of 5m, water depth of 2m, and flow rate of 20 m³/s is approximately 0.239.

Manning's equation relates the flow rate, channel parameters, and roughness coefficient.

Manning's equation is given by:

Q = (1/n) * A * R^(2/3) * S^(1/2)

Where:

Q = Flow rate (m³/s)

n = Manning's roughness coefficient

A = Cross-sectional area of the channel (m²)

R = Hydraulic radius (m)

S = Channel slope (dimensionless)

For a rectangular channel, the cross-sectional area (A) and hydraulic radius (R) is calculated using the width (b) and depth (y) of the channel:

A = b * y

R = A / (2 * (b + y))

Width (b) = 5 m

Depth (y) = 2 m

Flow rate (Q) = 20 m³/s

Manning's roughness coefficient (n) = 50

First, we calculate the cross-sectional area:

A = b * y

A = 5 m * 2 m

A = 10 m²

Next, we calculate the hydraulic radius:

R = A / (2 * (b + y))

R = 10 m² / (2 * (5 m + 2 m))

R = 10 m² / (2 * 7 m)

R = 10 m² / 14 m

R ≈ 0.714 m

Now, we rearrange Manning's equation to solve for the channel slope (S):

Q = (1/n) * A * R^(2/3) * S^(1/2)

Solving for S:

S = (Q / ((1/n) * A * R^(2/3)))^2

S = (Q / (n * A * R^(2/3)))^2

Substituting the given values:

S = (20 m³/s / (50 * 10 m² * (0.714 m)^(2/3)))^2

Calculating the slope:

S ≈ (20 / (50 * 10 * 0.818))^2

S ≈ (20 / 40.9)^2

S ≈ (0.489)^2

S ≈ 0.239

Therefore, the slope of the bed of the rectangular channel is approximately 0.239 (dimensionless).

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Answer:

just subtract 38 from 72 and but the answer as x   x:38

Step-by-step explanation:

The budgets of Hong Kong, the United States of America, and Korea differ in contents, formats, advantages, and disadvantages. While each budget has its strengths and weaknesses, they all aim to provide a clear and transparent financial plan for their respective countries.

A budget is a financial plan that estimates expected income and expenditure for a specific period. It may include income, expenses, debts, and savings. Budgets may vary from country to country and can be analyzed by comparing their contents, formats, advantages, and disadvantages. Here are the budgets of Hong Kong, the United States of America, and Korea:

United States Budget:

Korean Budget:

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The lateral area of the cone is 113.1 cm²

Let the radius of the circular base of the cone be r. Then the slant height, L of the cone is 4r.

The formula for the area of a circle is given by the formula

= πr^2.

Since the area of the circular base of the cone is 9π cm², we can write the following equation:

πr^2 = 9π

Dividing both sides by π, we get:

r^2 = 9

Taking the square root of both sides, we get:

r = 3

The lateral area of a cone can be calculated using the formula:

= πrL,

where L is the slant height of the cone.

Lateral area = π * r * L

= π * 3 * 4r

= 3 * 4 * 3 * π

= 36π

So, the approximate lateral area of the cone is 36π cm², which is approximately 113.1 cm².

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Given:

To simplify 3(5y+6)-4

Hence the simplified value os 15y+14.

Answer:

This is an absolute value graph

Step-by-step explanation:

The equation to solve the height of the trapezoid is 45h = 1,575

Given data ,

Let the area of the trapezoid be A

Now , the value of A = 1,575 cm²

And , the Top(base2) = 63cm and  Bottom(base1) = 27 cm

Area of Trapezoid = ( ( a + b ) h ) / 2

where , a = shorter base of trapezium

b = longer base of trapezium

h = height of trapezium

On simplifying , we get

1,575 = (63 + 27) / 2 x h

1575 = 45h

Hence , the equation is 1575 = 45h

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The complete question is attached below :

The trapezoid has an area of 1,575 cm2, Which equation could you solve to find the height of the trapezoid?

A 850.5h = 1,575

B 1,701h = 1,575

C 90h = 1,575

D 45h = 1,575

Top(base2) = 63 cm

Bottom(base1) = 27 cm