T/F : The cofactor expansion of det A along the first row of A is equal to the cofactor expansion of det A along any other row

1.7829165e+16

Step-by-step explanation:

To approximate the probability that fewer than 13 chips will be defective out of a random sample of 285, we can use the normal approximation to the binomial distribution with a correction for continuity.

First, we calculate the mean (μ) and standard deviation (σ) of the binomial distribution using the formula:

μ = n * p

σ = sqrt(n * p * (1 - p))

where n is the sample size and p is the probability of success (failure rate).

In this case:

n = 285

p = 0.055 (5.5% failure rate)

μ = 285 * 0.055 = 15.675

σ = sqrt(285 * 0.055 * (1 - 0.055)) = 4.142

Next, we use the normal distribution to approximate the probability of fewer than 13 defective chips. We standardize the value by calculating the z-score:

z = (x - μ) / σ

For x = 13:

z = (13 - 15.675) / 4.142 = -0.645

Using a standard normal distribution table or calculator, we find the cumulative probability for z = -0.645, which is approximately 0.259.

Therefore, the probability that fewer than 13 chips will be defective is approximately 0.259 (rounded to three decimal places).

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Answer:

x= 9/4

Step-by-step explanation:

Since f(3), you replace f(x) with 3. So,

3=4x-6

9=4x

9/4=x

Answer and Step-by-step explanation: x represent the number of $5 bills and y, the number of $10 bill and, in total there are 32 bills, so

x + y = 32

In terms of value, there is a total of $220. The equation for it is

5x + 10y = 220

The 2 equations which best represent the scenario are

x + y = 32 (I)

5x + 10y = 220 (II)

To know how many bills there are, we have to solve the system. There are many way to solve it and one of them is

1) Multiply (I) by -5:

-5x - 5y = -160 (III)

2) Add equation (III) to equation (II):

-5x - 5y = -160

5x + 10y = 220

0x + 5y = 60 (IV)

3) Solve equation (IV)

5y = 60

y = 12

4) Replace value of y in equation (I) and find value of x:

x + 12 = 32

x = 20

In the proposed scenario, Shondra had 20 $5 bills and 12 $10 bills.

Answer: x=20 and y=12

Step-by-step explanation:

To compute the values of (r) and (x) for the different states of the harmonic oscillator, we need to consider the wavefunction solutions for each state.

The wavefunctions for the harmonic oscillator are given by Hermite polynomials multiplied by a Gaussian factor. The energy eigenvalues for the harmonic oscillator are given by (n + 1/2) * h * ω, where n is the quantum number and ω is the angular frequency of the oscillator. (a) Ground State: The ground state of the harmonic oscillator corresponds to n = 0. The wavefunction for the ground state is: ψ₀(x) = (mω/πħ)^(1/4) * exp(-mωx²/2ħ), where m is the mass of the oscillator. In this state, the energy (E₀) is equal to 1/2 * h * ω. Therefore, for the ground state: (r) = 0 (since n = 0). (x) = √(ħ/(2mω)). (b) First Excited State:The first excited state corresponds to n = 1. The wavefunction for the first excited state is: ψ₁(x) = (mω/πħ)^(1/4) * √2 * (mωx/ħ) * exp(-mωx²/2ħ), where m is the mass of the oscillator. In this state, the energy (E₁) is equal to 3/2 * h * ω. Therefore, for the first excited state: . (r) = 1. (x) = √(ħ/(mω)). (c) Second Excited State:The second excited state corresponds to n = 2. The wavefunction for the second excited state is: ψ₂(x) = (mω/πħ)^(1/4) * (2(mωx/ħ)^2 - 1) * exp(-mωx²/2ħ)  where m is the mass of the oscillator. In this state, the energy (E₂) is equal to 5/2 * h * ω.

Therefore, for the second excited state: (r) = 2. (x) = √(ħ/(2mω)). In summary: (a) Ground State: (r) = 0, (x) = √(ħ/(2mω)). (b) First Excited State: (r) = 1, (x) = √(ħ/(mω)). (c) Second Excited State: (r) = 2, (x) = √(ħ/(2mω)).

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Answer:

Below

Step-by-step explanation:

From mile 3 to mile 18 is 15 miles

   He needed   2 hrs - .75 hr  = 1.25 hr to run 15 miles

15 miles / 1.25 hr =  12 miles per hour    ( VERY fast !)

The greatest common factor of 16 and 24 is 2×2×2

The greatest common factor (GCF) of a set of numbers is the largest factor that all the numbers share.

Given that, The prime factorizations of 16 and 24 are shown below.

Prime factorization of 16: 2, 2, 2, 2

Prime factorization of 24: 2, 2, 2, 3

Now, choosing the common factors = 2, 2, 2

Therefore, the GCF = 2, 2, 2

Hence, The GCF of 16 and 24 is 2, 2, 2

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Answer:

m < 5

Step-by-step explanation:

10m-5 < 45

Add 5 to both sides

10m - 5 + 5 < 45 + 5

Simplify

10m < 50

Divide both sides by 2

10m/10 < 50/10

Simplify

m < 5

Kavinsky

Answer:

$0.65 per foot

Step-by-step explanation:

do 19.50 divided by 30 and you get the answer

Below is the answer

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Answer:

D. In scattering, long wavelengths are scattered the most.

Step-by-step explanation:

Scattering of light is the effect observed when there is an interaction between light energy and some particles. This occurs often in the earth's atmosphere which consists of different sizes of particles that interacts with the sunlight.

In scattering, light of shorter wavelengths are scattered by small sized particles compared to those with longer wavelengths. Example is the scattering of the sunlight by the atmospheric particles where colors with short wavelengths are scattered the most.

Arnold need to correct the statement; In scattering, long wavelengths are scattered the most. To read; In scattering, short wavelengths are scattered the most.

Answer:

D on edgen

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

3+9=12 cards

12/2=6

Answer:

they will have 6

Step-by-step explanation:

3+9=12

12/2=6

Answer:

y = - \(\frac{5}{2}\) x - 1

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 ) = (2, - 6 ) and (x₂, y₂ ) = (- 2, 4 )

m = \(\frac{4-(-6)}{-2-2}\) = \(\frac{4+6}{-4}\) = \(\frac{10}{-4}\) = - \(\frac{5}{2}\) , then

y = - \(\frac{5}{2}\) x + c ← is the partial equation

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

using (- 2, 4 ) , then

4 = 5 + c ⇒ c = 4 - 5 = - 1

y = - \(\frac{5}{2}\) x - 1 ← equation of line

More likely a line graph

Answer:

line graph

Step-by-step explanation:

The investment's expected return is 5.95%.

The expected return of an investment is calculated by multiplying the probabilities of each possible return by their respective returns and summing them up. In this case, Gautney Enterprises has provided the probabilities and returns for the investment. By applying the formula, we find that the expected return is 5.95%.

To calculate the standard deviation, we need to determine the variance first. The variance is computed by taking the difference between each possible return and the expected return, squaring those differences, multiplying them by their respective probabilities, and summing them up. Once we have the variance, the standard deviation is simply the square root of the variance. The standard deviation measures the degree of risk associated with an investment.

In this scenario, the expected return of the investment is 5.95%, but we need to consider the standard deviation as well to assess the risk. If the standard deviation is high, it indicates a greater level of uncertainty and potential volatility in returns. A low standard deviation implies a more stable investment.

Without the specific values for each return and their respective probabilities, we cannot calculate the exact standard deviation. However, Gautney Enterprises should compare the calculated expected return and the associated standard deviation to their risk tolerance and investment objectives. If the expected return meets their desired level of return and the standard deviation aligns with their risk appetite, they may consider investing in this security.

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Step-by-step explanation:

x = sqrt (y-9)     square both sides

x^2 = y-9           add 9 to both sides

y = x^2 + 9        <====== this parabola has a POSITIVE x^2 coefficient ( +1)...

                                      so it is bowl shaped and opens UPWARD

The linear approximation to f(x, y, z) at the point (3, -3, -1) is -1 + (1/9)(x - 3) + (1/9)(y + 3) - (1/9)(z + 1).

To find the linear approximation to the function f(x, y, z) = z/(xy) at the point (3, -3, -1), we can use the concept of partial derivatives.

First, let's find the partial derivatives of f(x, y, z) with respect to x, y, and z:

∂f/∂x = -z/(x^2y)
∂f/∂y = -z/(xy^2)
∂f/∂z = 1/(xy)

Now, we can evaluate these partial derivatives at the given point (3, -3, -1):

∂f/∂x = -(-1)/(3^2*(-3)) = 1/9
∂f/∂y = -(-1)/(3*(-3)^2) = 1/9
∂f/∂z = 1/(3*(-3)) = -1/9

Using the linear approximation formula, the linear approximation to f(x, y, z) at the point (3, -3, -1) is:

L(x, y, z) = f(3, -3, -1) + (∂f/∂x)(x - 3) + (∂f/∂y)(y + 3) + (∂f/∂z)(z + 1)
L(x, y, z) = -1 + (1/9)(x - 3) + (1/9)(y + 3) - (1/9)(z + 1)

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Answer:

400 total pets

Step-by-step explanation:

If you divide 24 by 6 it is 4

So every 1% is 4 pets

% is out of 100

so 100 × 4 = 400

If you know 2π is 360°, you can solve for 60°. 180 is half of 360, so π.

For converting 60 degrees to radians:

60×\(\frac{Pie}{180}\) = π/3

60 degrees in radians is π/3

Hope it helps!

The solution to the given inequality is; a > 6

The given inequality is;

a - 2 > 4

Now, to start to solve this, we add 2 to both sides of the inequality using addition property of equality to get;

a - 2 + 2 > 4 + 2

a > 6

Now, the inequality when shown on a line plot is as attached and it shows that the arrow points to the right hand side.

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The divergence of the vector field F is positive for y > -1/3 and negative for y <  -1/3.

To plot the vector field F(x, y) = (xy, x + y^2), we can first visualize the vectors at various points in the xy-plane. Let's choose a range of values for x and y and calculate the corresponding vectors. We'll use a step size of 1 for simplicity.

Here is a sample grid of points and their corresponding vectors:

(x, y) = (-2, -2) -> F(-2, -2) = (4, 2)

(x, y) = (-1, -2) -> F(-1, -2) = (2, 2)

(x, y) = (0, -2) -> F(0, -2) = (0, 2)

(x, y) = (1, -2) -> F(1, -2) = (0, 2)

(x, y) = (2, -2) -> F(2, -2) = (4, 2)

(x, y) = (-2, -1) -> F(-2, -1) = (2, 1)

(x, y) = (-1, -1) -> F(-1, -1) = (1, 1)

(x, y) = (0, -1) -> F(0, -1) = (0, 1)

(x, y) = (1, -1) -> F(1, -1) = (0, 1)

(x, y) = (2, -1) -> F(2, -1) = (2, 1)

... and so on for other values of y and for positive values of y.

To calculate the divergence (divF) of the vector field, we need to find the partial derivatives of the components of F with respect to x and y. Then we sum these partial derivatives.

F(x, y) = (xy, x + y^2)

∂F/∂x = y

∂F/∂y = 1 + 2y

divF = ∂F/∂x + ∂F/∂y = y + (1 + 2y) = 3y + 1

Now, we can analyze where the divergence is positive (divF > 0) and where it is negative (divF < 0).

For divF > 0:

If y > -1/3, then divF > 0.

For divF < 0:

If y < -1/3, then divF < 0.

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Answer:

500 pts  :DDDD

Step-by-step explanation:

1 )   y = mx + b

hmmm 2 is wrong

2)  y = -a\(x^{2}\)+bx+c

I'm unsure about 3 also  hmm

3)  y = a\(x^{y}\)

Answer: The lego set is 15% off

Answer:

131072?

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

because it has a dramatic decrease in value

Part a)Given, utility function of the consumer as:U(x1, x2) = log(x1) + log(x2)X1 ≤ 0.5Let p2 = 1 and m = 1, and p1 is unknown. The consumer has a budget constraint as: p1x1 + p2x2 = m = 1Now we have to find the minimal p1 such that the consumer consumes x1 strictly less than 0.5.

We need to find the value of p1 such that the consumer spends the entire budget (m = 1) on the two goods, but purchases only less than 0.5 units of the first good. In other words, the consumer spends all his money on the two goods, but still cannot afford more than 0.5 units of good 1.

Mathematically we can represent this as:

p1x1 + p2x2 = 1......(1)Where, x1 < 0.5, p2 = 1 and m = 1

Substituting the given value of p2 in (1), we get:

p1x1 + x2 = 1x1 = (1 - x2) / p1Given, x1 < 0.5 => (1 - x2) / p1 < 0.5 => 1 - x2 < 0.5p1 => p1 > (1 - x2) / 0.5

Now we know, 0 < x2 < 1.So, we will maximize the expression (1 - x2) / 0.5 for x2 ∈ (0,1) which gives the minimum value of p1 such that x1 < 0.5.On differentiating the expression w.r.t x2, we get:d/dx2 [(1-x2)/0.5] = -1/0.5 = -2

Therefore, (1-x2) / 0.5 is maximum at x2 = 0.

Now, substituting the value of x2 = 0 in the above equation, we get:p1 > 1/0.5 = 2So, the minimal value of p1 is 2.Part b)Now, we have to show mathematically that whether the threshold on p1 found in Part a increases/decreases/stays the same when p2 increases.

That is, if p2 increases then the minimum value of p1 will increase/decrease/stay the same.Since p2 = 1, the consumer’s budget constraint is given by:

p1x1 + x2 = m = 1Suppose that p2 increases to p2′.

The consumer’s new budget constraint is:

p1x1 + p2′x2 = m = 1.

Now we will find the minimal p1 denoted by pi, such that the consumer purchases less than 0.5 units of good 1. This can be expressed as:

p1x1 + p2′x2 = 1Where, x1 < 0.5

The budget constraint is the same as that in Part a, except that p2 has been replaced by p2′. Now, using the same argument as in Part a, the minimum value of p1 is given by:

p1 > (1 - x2) / 0.5.

We need to maximize (1 - x2) / 0.5 w.r.t x2.

As discussed in Part a, this occurs when x2 = 0.Therefore, minimal value of p1 is:

pi > 1/0.5 = 2

This value of pi is independent of the value of p2′.

Hence, the threshold on p1 found in Part a stays the same when p2 increases.

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By using the concept of function, it can be seen that the given figure does not represents a function.

What is a function?

A function from A to B is a rule that assigns to each element of A a unique element of B. A is called the domain of the function and B is called the codomain of the function.

There are different operations on functions like addition, subtraction, multiplication, division and composition of functions.

Here the values on the x axis represents the domain and the values on the y axis represents the Range.

From the figure it can be seen that

For x = 2, there are three points on the y axis.

So the point x = 2 maps to different points on the y axis

So this is not a function

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