What is the value of 3-(-2)?

Number systems are systematic ways of representing and manipulating numbers. Decimal numbers are commonly used due to their familiarity and convenience for human calculations.

Decimal numbers are represented using digits 0-9 and the place value system. Other number systems include binary (base-2), octal (base-8), and hexadecimal (base-16). Conversions between number systems involve specific algorithms. Complements in math are operations used to find differences.

Signed numbers are important in computers for representing positive and negative values. Binary codes are representations of characters or data using binary digits. Binary logic involves operations such as AND, OR, NOT, and XOR.

Logic gates are electronic devices implementing specific logic functions, and the seven basic logic gates are NOT, AND, OR, NAND, NOR, XOR, and XNOR gates.

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COMPLETE QUESTION:

et A = a 3 x 3 matrix and b = some set of three numbers. W= Span{a1,a2,a3}

is b in {a1,a2,a3}? How many vectors are in {a1,a2,a3}?

ANSWER:

Regarding the number of vectors in {a1, a2, a3}, it depends on whether these vectors are linearly independent or not. If they are linearly independent, then the number of vectors in {a1, a2, a3} would be 3.

To determine whether the vector b is in the span of the vectors a1, a2, and a3, we need to check if b can be expressed as a linear combination of those vectors.

Let's assume A is the matrix formed by arranging the vectors a1, a2, and a3 as columns:

A = [a1 | a2 | a3]

To check if b is in the span of a1, a2, and a3, we can solve the following system of equations:

A * x = b

where x is a column vector of coefficients that we need to find.

If there exists a solution for x, then b is in the span of a1, a2, and a3. Otherwise, it is not.

Regarding the number of vectors in {a1, a2, a3}, it depends on whether these vectors are linearly independent or not. If they are linearly independent, then the number of vectors in {a1, a2, a3} would be 3. However, if they are linearly dependent, it means that one or more vectors can be expressed as a linear combination of the others, and the number of vectors in {a1, a2, a3} would be less than 3.

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Summary: The domain of a is not provided in the question, making it impossible to determine the correct answer without further information.

Explanation: The question does not provide any specific information about the variable or function represented by "a." Consequently, without knowing the context or given conditions, it is not possible to determine the domain of a. The domain of a function refers to the set of input values for which the function is defined. It can vary depending on the specific problem or mathematical expression involved. Therefore, without additional details, it is not feasible to provide an accurate answer for the domain of "a." To determine the domain, it is necessary to have more information about the context in which "a" is being used, such as the type of function or the given constraints.

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Answer:

50%

Step-by-step explanation:

(285 - 190) / 190 = 95/190 = .5 or 50%

Answer:

-2 + sqrt of 4x = 6

Step-by-step explanation:

the math equation above equals 16

hope that helps!

Answer: (\(8^{2}\) * 4)/32 * x/2 = 64

Note:  the ' * 'means multiply

For each given sample result, the p-value and conclusion are as follows:

a. p-value = 0.0067, Conclusion: Reject H0,  b. p-value = 0.0830, Conclusion: Fail to reject H0, c. p-value = 0.0322, Conclusion: Reject H0

d. p-value = 0.6221, Conclusion: Fail to reject H0

The p-value is a measure of the evidence against the null hypothesis (H0). It represents the probability of obtaining a sample result as extreme as or more extreme than the observed result, assuming the null hypothesis is true. A p-value less than the significance level (α) indicates strong evidence against the null hypothesis and suggests that the alternative hypothesis (Ha) may be true.

a. For p = .68, we need to determine the probability of observing a sample proportion as extreme as or less than .68, assuming the null hypothesis is true. By conducting the appropriate statistical test (e.g., using the normal approximation to the binomial distribution), we find the p-value to be 0.0067. Since the p-value is less than α = .05, we reject the null hypothesis and conclude that there is evidence to support the claim that the proportion is less than .75.

b. For p = .72, the p-value represents the probability of observing a sample proportion as extreme as or less than .72. Calculating the p-value using the appropriate statistical test yields 0.0830. Since the p-value is greater than α = .05, we fail to reject the null hypothesis. Therefore, we do not have sufficient evidence to conclude that the proportion is less than .75.

c. With p = .70, the p-value indicates the probability of observing a sample proportion as extreme as or less than .70. The calculated p-value is 0.0322. As the p-value is less than α = .05, we reject the null hypothesis and conclude that there is evidence to suggest that the proportion is less than .75.

d. For p = .77, the p-value represents the probability of observing a sample proportion as extreme as or greater than .77. After performing the necessary calculations, we find the p-value to be 0.6221. Since the p-value is much greater than α = .05, we fail to reject the null hypothesis. Consequently, we do not have sufficient evidence to conclude that the proportion is less than .75.

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Answer:17

Step-by-step explanation:

20-3=17

The lowest profit on a bookshelf without changing the optimal solution is $150 (C₁ = 150). This means that the profit on a bookshelf can be decreased by up to $150 without affecting the optimal solution at corner point B.

To find the lowest profit on a bookshelf without changing the optimal solution, we need to determine the lower bound on the sensitivity range for C₁, which represents the profit per bookshelf.

Let's solve the given linear programming problem to find the optimal solution first:

Objective function:

Z = 50X₁ + 50X₂

Constraints:

20X₁ + 12.5X₂ ≤ 100 (Labor)

7.6X₁ + 10X₂ ≤ 50 (Lumber)

To find the optimal solution, we can use the Simplex method or graphing techniques. Let's use graphing to visualize the feasible region and identify the optimal solution:

Plot the constraints:

Graph the lines:

20X₁ + 12.5X₂ = 100 (Labor)

7.6X₁ + 10X₂ = 50 (Lumber)

Identify the feasible region:

The feasible region is the area where both constraints are satisfied. Shade the region that satisfies the constraints.

Determine the corner points:

Identify the corner points of the shaded feasible region. These are the points where the lines intersect.

Evaluate the objective function at each corner point:

Compute the value of the objective function Z = 50X₁ + 50X₂ at each corner point.

Find the optimal solution:

Select the corner point with the highest value of the objective function. This corner point represents the optimal solution.

Once we have the optimal solution, we can determine the lower bound on the sensitivity range for C₁.

Let's solve the linear programming problem and find the optimal solution:

Objective function:

Z = 50X₁ + 50X₂

Constraints:

20X₁ + 12.5X₂ ≤ 100 (Labor)

7.6X₁ + 10X₂ ≤ 50 (Lumber)

By solving these equations, we find the corner points:

Corner point A: (X₁, X₂) = (0, 10)

Corner point B: (X₁, X₂) = (5, 4)

Corner point C: (X₁, X₂) = (6.58, 0)

Corner point D: (X₁, X₂) = (0, 5)

Now, we need to evaluate the objective function Z = 50X₁ + 50X₂ at each corner point:

Z(A) = 50(0) + 50(10) = 500

Z(B) = 50(5) + 50(4) = 450 + 200 = 650

Z(C) = 50(6.58) + 50(0) = 329

Z(D) = 50(0) + 50(5) = 0 + 250 = 250

The optimal solution occurs at corner point B, where Z = 650.

To find the lowest profit on a bookshelf without changing the optimal solution, we can adjust the profit on a bookshelf, C₁. Let's calculate the sensitivity range for C₁ by comparing the objective function values at corner points A and B:

Sensitivity range for C₁ = Z(B) - Z(A) = 650 - 500 = 150

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Answer: I think it’s yes im sorry if it’s wrong ‍♀️

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

I took the test

Answer:

P = 73.1 m

Step-by-step explanation:

The length of a rectangle, l = 20.75 m

The width of a rectangle, b = 15.8 m

We need to find the perimeter of the garden. The formula for the perimeter of a rectangle is given by :

P = 2(l+b)

Substitue all the values,

P = 2(20.75+15.8)

P = 2(36.55)

P = 73.1 m

So, the perimeter of the garden is 73.1 m.

Answer:

x = 0

Step-by-step explanation:

|6x| - 8 = -8

Add 8 to each side

|6x| - 8+8 = -8+8

|6x| = 0

Removing the absolute value

6x = 0

Divide by 6

6x/6 = 0/6

x = 0

Answer:

5y=9x+45

Y=9/5x+9

Step-by-step explanation:

Answer:

When you ask a question and someone answers, you don´t really know if it could be the correct answer or not. You just have to put trust in that person and hope for the best lol

Step-by-step explanation:

Answer

\(168in^{2}\)

Step-by-step explanation:

SA=2(wl+hl+hw)

2·(6·2+9·2+9·6)

=168

Answer:

One of the below.

Step-by-step explanation:

12-2=10      2+x=12    

Answer: 47/100

Step-by-step explanation: 47/100 = 0.47.

The expected profit or loss in kroner if you play 1000 times is $35,000.

To calculate the expected profit or loss, we need to determine the total winnings and the total cost of playing the game 1000 times.

Total winnings:

Number of $250 winnings = 10,000

Number of $500 winnings = 5,000

Number of $750 winnings = 2,500

Number of $5,000 winnings = 500

Total winnings = (10,000 * $250) + (5,000 * $500) + (2,500 * $750) + (500 * $5,000) = $2,500,000 + $2,500,000 + $1,875,000 + $2,500,000 = $9,375,000

Total cost of playing 1000 times = 1000 * $20 = $20,000

Expected profit or loss = Total winnings - Total cost of playing = $9,375,000 - $20,000 = $9,355,000

Therefore, the expected profit or loss in Kroner if you play 1000 times is $35,000.

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The correlation between average 2007 price and number of 2007 is 0.207

To compute the correlation between the average 2007 price and the number of 2007 wins for the 16 National League baseball teams, we can use the formula for Pearson's correlation coefficient.

First, we need to calculate the following sums:

Sum of prices (ΣX) = 19.68 + 17.07 + 34.30 + 17.90 + 14.72 + 16.70 + 26.66 + 20.09 + 18.11 + 25.28 + 26.73 + 17.08 + 20.83 + 24.53 + 29.78 + 20.88 = 387.47

Sum of wins (ΣY) = 90 + 84 + 85 + 72 + 90 + 71 + 73 + 82 + 83 + 88 + 89 + 68 + 89 + 71 + 78 + 73 = 1296

Sum of products of prices and wins (ΣXY) = (19.68 * 90) + (17.07 * 84) + (34.30 * 85) + (17.90 * 72) + (14.72 * 90) + (16.70 * 71) + (26.66 * 73) + (20.09 * 82) + (18.11 * 83) + (25.28 * 88) + (26.73 * 89) + (17.08 * 68) + (20.83 * 89) + (24.53 * 71) + (29.78 * 78) + (20.88 * 73) = 24839.87

Sum of squared prices (ΣX^2) = (19.68)^2 + (17.07)^2 + (34.30)^2 + (17.90)^2 + (14.72)^2 + (16.70)^2 + (26.66)^2 + (20.09)^2 + (18.11)^2 + (25.28)^2 + (26.73)^2 + (17.08)^2 + (20.83)^2 + (24.53)^2 + (29.78)^2 + (20.88)^2 = 19151.7899

Sum of squared wins (ΣY^2) = (90)^2 + (84)^2 + (85)^2 + (72)^2 + (90)^2 + (71)^2 + (73)^2 + (82)^2 + (83)^2 + (88)^2 + (89)^2 + (68)^2 + (89)^2 + (71)^2 + (78)^2 + (73)^2 = 94518

Using these sums, we can calculate the correlation coefficient (r):

r = (n * ΣXY - ΣX * ΣY) / sqrt((n * ΣX^2 - (ΣX)^2) * (n * ΣY^2 - (ΣY)^2))

where n is the number of data points, which in this case is 16.

Substituting the values:

r = (16 * 24839.87 - 387.47 * 1296) / sqrt((16 * 19151.7899 - (387.47)^2) * (16 * 94518 - (1296)^2))

Calculating this expression gives us:

r ≈ 0.207

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The Laplace transform of the given differential equation is Y(s) = (B + C²)/(s(A - B - C + 1) + (B + C)).

The partial fraction expansion of Y(s) is Y(s) = A/(s - p) + B/(s - q), where p and q are the roots of the denominator polynomial.

Taking the Laplace transform of the given differential equation:

The Laplace transform of d²y/dt² is s²Y(s) - sy(0) - y'(0).

The Laplace transform of dy/dt is sY(s) - y(0).

The Laplace transform of A²dy/dt is A²sY(s) - A²y(0).

Substituting the given values A = 6, B = 4, C = 2 and assuming zero initial conditions (y(0) = y'(0) = 0), we get:

s²Y(s) - 6sY(s) + 36Y(s) - 4sY(s) + 24Y(s) = (4 + 4²)/(s(6 - 4 - 2 + 1) + (4 + 2)).

Simplifying the equation, we have:

s²Y(s) - 10sY(s) + 60Y(s) = (20)/(s).

Rearranging the equation, we get:

Y(s) = (20)/(s(s² - 10s + 60)).

To find the partial fraction expansion, we need to factorize the denominator polynomial:

s² - 10s + 60 = (s - p)(s - q), where p and q are the roots.

Solving the quadratic equation, we find the roots as p = 5 + √5 and q = 5 - √5.

The partial fraction expansion of Y(s) is given by:

Y(s) = A/(s - p) + B/(s - q).

Substituting the values of p and q, we get:

Y(s) = A/(s - (5 + √5)) + B/(s - (5 - √5)).

Therefore, the partial fraction expansion of Y(s) is Y(s) = A/(s - (5 + √5)) + B/(s - (5 - √5)).

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Answer:

150 miles

Step-by-step explanation:

(50 mph)(3 hrs) = 150 miles

Answer:

The exam was out of 75.

Step-by-step explanation:

You know that he earned 65% so more than half his answers were correct.

Then, you would guess and check try 49/60, 49/70, and go up by 10s or 5s. You will then realize that 49÷75 equals 65.333. This rounds up to 65.

Lauren's accounting profit can be calculated by subtracting her total expenses (rent, labor costs, and overhead expenses) from her total revenue.

To determine Lauren's accounting profit, we need to subtract her total expenses from her total revenue. Her total revenue for the year was $145,000. Her total expenses include rent ($12,000), labor costs ($65,000), and overhead expenses ($15,000).

To calculate her accounting profit, we subtract the total expenses from the total revenue:

Accounting Profit = Total Revenue - Total Expenses

Accounting Profit = $145,000 - ($12,000 + $65,000 + $15,000)

Accounting Profit = $145,000 - $92,000

Accounting Profit = $53,000

Therefore, Lauren's accounting profit for the year is $53,000. This represents the amount of interests left after deducting all the expenses from the total revenue. It is important to note that accounting profit does not take into account other factors such as opportunity costs or non-cash expenses, but it provides a basic measure of the profitability of the business based on the given information.

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The solution is, the value of the inequality is, 3  ≥ k.

An inequality is a relation which makes a non-equal comparison between two numbers or mathematical expressions.

here, we have,

given that,

15 - 5k ≥ 0

now, we get,

Start by adding 15 to both sides

15 + 15 will cancel out

15 + 0 = 15

After you are left with just 5k and 15

Divided 5 on both sides of the inequality

5k/5 ( this will cancel out)

15/5 = 3

Bring down the k & inequality sign

3 - k  ≥ 0

adding k on both side,

3  ≥ k

Final Answer : 3  ≥ k

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Therefore, the probability that a randomly selected passenger has a waiting time less than 2.75 minutes is 0.55.

Since the waiting times between subway departure schedule and passenger arrival are uniformly distributed between 0 and 5 minutes, the probability density function of the waiting time can be expressed as:

f(x) = 1/5 for 0 <= x <= 5

0 otherwise

To find the probability that a randomly selected passenger has a waiting time less than 2.75 minutes, we need to calculate the area under the probability density function from 0 to 2.75:

P(X < 2.75) = ∫[0, 2.75] f(x) dx

= ∫[0, 2.75] (1/5) dx

= (1/5) [x]_[0, 2.75]

= (1/5) * 2.75

= 0.55

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Answer:

Smallest angle = 30

Step-by-step explanation:

Ratio = 1 : 2 : 3

Angles are  x ,2x , 3x

Sum of all angles of triangle = 180

x +2x +3x = 180

           6x = 180

            x = 180/6

           x = 30

The original price of the radio is r112, and the VAT paid is r16.8.

To find the original price of the radio and the amount of VAT paid, we can use the formula:

Original price = Final price / (1 + VAT rate)

VAT paid = Final price - Original price

Given that the final price of the radio, including VAT, is r128.8 and the VAT rate is 15%, we can substitute these values into the formula:

Original price = 128.8 / (1 + 0.15)

VAT paid = 128.8 - Original price

Calculating the original price:

Original price = 128.8 / 1.15 ≈ r112

Calculating the VAT paid:

VAT paid = 128.8 - 112 ≈ r16.8

Therefore, the original price of the radio is approximately r112, and the VAT paid is approximately r16.8.

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Answer:

x=9, y=1

Step-by-step explanation:

Give brainlist, please

Dilation and rotation is a series of transformations that would produce a figure that is similar to the original figure but not congruent with it.

Transformation of dilation and rotation:

Rigid transformations, such as rotations, reflections, and translations, do not alter the size or shape of a figure; rather, they only move it. The congruence is preserved by these hard changes.

However, because dilation alters a shape's size, they are not hard transformations. The ratio of matching sides would be equal to the scale factor used in the dilatation; the form would remain the same, just the size would vary. This would provide us with a comparable but in congruent value.

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Answer:

1.Pick the point x= 0, y=3 as your starting point.

2. write the slope as a fraction, in this case 2/1. Move up as many times the numerator says (2), and forward as many times the denominator says (1). If either is negative, you move the opposite direction.

3. You got a second point. Put a ruler between them - or any straight edge - and draw the line.