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Question * Consider the following double integral 1 - 2 - dy dx. By reversing the order of integration of I, we obtain: 1 = ²√²dx dy This option 1 = √ √4-y dx dy This option 1 = 4** dx dy O Th

Answer:

11.   a.  yes  b.   no

12.  i.  yes  ii.  yes  

13.  a. 31/35  b. 1 5/9  c. 1/30  d.  1/15

Step-by-step explanation:

11. add them

12. estimate

13. add or subtract

Answer:

(3)13.2

Step-by-step explanation:

c²=a²+b²

20²=15²+b²

20²-15²=b²

400-225=b²

175=b²

b=√175

b=13.2inches

Answer:

13x+6

Step-by-step explanation:

Combine the like terms.

Add 3x to 10x and substract 4 from 10.

Answer:

136° that's 90 plus 46.........

Answer:

x = 136°

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

x is an exterior angle of the triangle , then

x = 90° + 46° = 136°

Answer:

x=10  y=16

Step-by-step explanation:

y=2(10)-4

y=16

Answer:

y = 16 this is your correct answer

Therefore , the solution of the given problem of angles comes out to be m∠G= 63° is the response to the second component of the query.

The curved lines which make up the ends of a skew are divided by its highest and bottom walls using Cartesian measurements. There is a possibility who two poles will collide at an intersection. Another result of two objects interacting is an angle. They most closely mimic dihedral shapes. Two line beams can be arranged in different ways between their extremities to form a two-dimensional curve.

Here,

m∠E + m∠F + m∠G = 180°

Additionally, we are aware that mE = (5x + 6)°, mF = (4x - 6)°, and mG = (5x - 2)°. When we enter these numbers into the formula above, we obtain:

=> (5x + 6)° + (4x - 6)° + (5x - 2)° = 180°

When we simplify and find x, we obtain:

=> 14x - 2 = 180

=> 14x = 182

=> x = 13

Now that we know the three vectors' values:

=> m∠E = (5x + 6)° = (5(13) + 6)° = 71°

=> m∠F = (4x - 6)° = (4(13) - 6)° = 46°

=> m∠G = (5x - 2)° = (5(13) - 2)° = 63°

In light of this, mE = 71°, mF = 46°, and mG = 63°.

The first portion of the question has the following solution:

=>  m∠EFG = m∠E + m∠F + m∠G = 71° + 46° + 63° = 180°.

m∠G= 63° is the response to the second component of the query.

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The distance is 11.2

In math, a graph can be defined as a pictorial representation or a diagram that represents data or values in an organized manner. The points on the graph often represent the relationship between two or more things.

Here, for instance, we can represent the data given below, the type and number of school supplies used by students in a class, on a graph. We begin by counting each supply and representing the data in particular colors in a systematic order in a table.

Given:

The coordinates of farthest point from the room is (10, 5)

So, the distance is

=√(10-0)²  + (5-0)²

=√100+ 25

=√125

=11.2

Hence, the distance is 11.2.

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(a) The covariance of X and Y:

Cov(X, Y) = E[XY] - E[X]E[Y] = 0 - 0 * 0 = 0

(a) To calculate the covariance of X and Y, we need to find E[XY] - E[X]E[Y]. First, let's find the expected values of X, Y, and XY:

E[X] = ∫(cosΘ * 1/(2π)) dΘ, integrated over the interval (0, 2π)
E[Y] = ∫(sinΘ * 1/(2π)) dΘ, integrated over the interval (0, 2π)
E[XY] = ∫(cosΘ * sinΘ * 1/(2π)) dΘ, integrated over the interval (0, 2π)

Now let's evaluate these integrals:

E[X] = [sinΘ/(2π)] | (0, 2π) = (0-0)/(2π) = 0
E[Y] = [-cosΘ/(2π)] | (0, 2π) = (1-1)/(2π) = 0
E[XY] = [(1/4π) * sin(2Θ)] | (0, 2π) = (0-0)/(4π) = 0

Now we can calculate the covariance of X and Y:

Cov(X, Y) = E[XY] - E[X]E[Y] = 0 - 0 * 0 = 0

(b) To show that X and Y are uncorrelated, we must demonstrate zero covariance. In part (a), we found that Cov(X, Y) = 0. Therefore, X and Y are uncorrelated.

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Yes, the forester was justified in using a Normal model to analyze the woods, because the histogram is unimodal and symmetric. So option A is correct.

A histogram is a type of graph that uses vertical bars to show the distribution of a set of data. This particular histogram is unimodal, meaning that it has one peak which is an indication that the data is distributed normally. Additionally, the histogram is symmetric, which is another indication that the data is normally distributed.
Using a Normal model to analyze the woods is a valid approach because it allows the forester to identify the average diameter of the trees, as well as the spread of the data. It also allows him to check for any outliers, or points that fall outside the normal range. With this information, the forester can determine if the woods is suitable for sale, or if the buyer should be aware of any unexpected features.
Overall, the histogram is an effective way for the forester to analyze the data and determine if a Normal model is appropriate. By noting the unimodal and symmetric nature of the histogram, the forester can be sure that a Normal model will accurately represent the data, allowing him to make an informed decision about the woods.

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The given statement "The classical model of decision making assumes that managers have all of the information they need in order to make the optimum decision." is false because it is not necessary that they have all information.

The classical decision-making model assumes that managers have access to all the relevant information, but it does not necessarily assume that they have all the information they need to make the optimum decision.

The model also assumes that the decision-maker is rational and logical, able to identify and evaluate all alternatives and select the best one based on a careful analysis of the pros and cons of each option. However, in practice, managers may not have access to all the information they need, or they may be influenced by biases or external pressures that can lead to suboptimal decision-making.

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Step-by-step explanation:

Answer:

Step-by-step explanation:

x + x + 36 = 180

2x + 36 = 180

2x = 144

x = 72

36.6

====================================

Work Shown:

f(x) = 3x

f(12.2) = 3*12.2

f(12.2) = 36.6

x is the length in yards, and f(x) is the length in feet.

12.2 yards = 36.6 feet

To convert from yards to feet, we multiply by 3. That explains how

as shown in the screenshot.

The conditions (b),(e) and (f) comes under one quadrilateral and conditions (a),(c) and (d) comes under many quadrilaterals.

What is a quadrilateral?

A  quadrilateral has four sides, four vertices, and four angles. It is a form of polygon. Quadrilaterals always have a total internal angle of 360 degrees.

Given,

condition A : a rectangle with four right angles

condition B : a square with one side measuring 5 inches

condition C : a rhombus with one angle measuring 43°

condition D : a parallelogram with one angle measuring 32°

condition E : a parallelogram with one angle measuring 48° and adjacent sides measuring 6 inches and 8 inches

condition F : a rectangle with adjacent sides measuring 4 inches and 3 inches.

Now we are asked to match the above conditions to one quadrilateral and many quadrilaterals groups according to the number of quadrilaterals that can be constructed using the given condition.

Condition A : Many Quadrilaterals

All the rectangles have four right angles in them. So many rectangles of different lengths can be formed.

Condition B : One Quadrilateral

The defining factor that make a square unique is the length of its side. All the sides of the square also has equal length. So only one square of 5 inches side can be made.

Condition C: Many Quadrilaterals

For a rhombus the opposite angles are equal and the sum of angles should be 360°. Even though the angles are fixed, this rhombus can have any side length.

Condition D: Many Quadrilaterals

As discussed for rhombus, even though the angles of the parallelogram is fixed, there can be many sides lengths.

Condition E: One Quadrilateral

In this case, side length as well as the angle of the parallelogram is given. So there can be only one parallelogram.

Condition F:One Quadrilateral

The side lengths are what make a rectangle one of its kind. So one one rectangle can be formed with lengths 4 inches and 3 inches.

Therefore conditions (b),(e) and (f) comes under one quadrilateral and conditions (a),(c) and (d) comes under many quadrilaterals.

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The area of the replaceable is \(15\) square inches.

The area of a regular hexagon, we can use the formula:

\(A = (3\sqrt3 / 2) \times s^2\)

Where A is the area of the hexagon and s is the length of one of its sides.

To find the area of the replaceable head, we can split it into two shapes: a rectangle and a triangle.

The rectangle has a length of 10 mm and a width of 12 mm, so its area is:

Area of Rectangle \(= length \times width = 10 mm \times 12 mm = 120 mm^2\)

The triangle has a base of  \(12 mm\) and a height of \(6 mm\), so its area is:

Area of Triangle \(= 1/2 \times base \times height = 1/2 \times 12 mm \times 6 mm = 36 mm^2\)

To find the total area of the replaceable head, we add the area of the rectangle and the area of the triangle:

Total Area =Area of Rectangle  +  Area of Triangle \(= 120 mm^2 + 36 mm^2 = 156 mm^2\)

Therefore, the area of the replaceable head is   \(156\)mm².

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The boolean expressions that evaluate to false are b) 1 == 0 and e) false.

a) 8 <= 4: This expression compares the values of 8 and 4. Since 8 is not less than or equal to 4, this expression evaluates to false.

b) 1 == 0: This expression checks whether 1 is equal to 0. Since 1 is not equal to 0, this expression evaluates to false.

c) (5 - 2) == (10 - 7): This expression compares the result of subtracting 2 from 5 with the result of subtracting 7 from 10. Since both subtractions yield 3, the expression evaluates to true.

d) (true and true) or: This expression combines the logical AND operation between two true values and then performs the logical OR operation with an unspecified value. Without the second operand, the expression is incomplete and cannot be evaluated.

e) false: This expression directly evaluates to false since false is a boolean literal.

Therefore, the boolean expressions that evaluate to false are b) 1 == 0 and e) false.

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The cost of tickets for senior citizen and students are $11 and $13 respectively.

To solve this problem, we have to write out system of equations and solve the value of the unknown.

Let;

We can express the problem mathematically as;

\(6x + 4y = 118..eq(i)\\14x + 8y = 258 ...eq(ii)\)

Solving for x and y;

\(6x + 4y = 118..eq(i)\\14x + 8y = 258 ...eq(ii)\\x = 11, y = 13\)

From the calculations above, the value of x and y are 11 and 13 respectively.

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Answer:
Melissa's old job gave her 17.20 dollars.

Step-by-step explanation:

Why? Because if you 10.80 x 2 - 3.80 hr less, you get 17.80

If a trader gives a discount of twelve and a half percent on the marked price of an article, we can calculate the amount one would pay for an article marked d1 275.

To find the amount to be paid after the discount, we need to subtract the discount from the marked price. A discount of twelve and a half percent can be written as 12.5/100 or 0.125.

The amount after the discount is calculated by multiplying the marked price by (1 - discount). In this case, the amount to be paid would be d1 275 * (1 - 0.125).

Calculating the value, we have d1 275 * (0.875) = d1 109.375.

Therefore, one would pay d1 109.375 for an article marked d1 275 after a discount of twelve and a half percent.

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The 5-digit codes can be made using the 10 digits if repetition is permitted is 90000

To open the lock, you may press a 5-digit code on a set of buttons

The repetition of digits is allowed

The first digit cannot be a zero, so the number of possible options is 9

In the second digit the number of possible options is 10

In the third digit the number of possible options is 10

In the fourth digit the number of possible options is 10

In the fifth digit the number of possible options is 10

So the number of possible outcomes is given by

9 x 10 x 10 x 10 x 10

= 90000

The 5-digit codes can be made using the 10 digits if repetition is permitted is 90000

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Answer:

quotient if 3 over 5 is 1.66666. (or) 1.7

Approximately 86.6% proportion of a normal distribution is located between z = –1.50 and z = 1.50.

The proportion of a normal distribution located between z = –1.50 and z = 1.50 is approximately 0.866 or 86.6%. Normal distribution has a mean of 0 and a standard deviation of 1.

A z-score is a measure of how many standard deviations a given data point is from the mean of the distribution. To find the proportion of a normal distribution located between z = –1.50 and z = 1.50, we need to find the area under the curve between these two z-scores.

This can be done by using a standard normal distribution table or a calculator with a normal distribution function. Using a standard normal distribution table, we can find the area to the left of z = 1.50, which is 0.9332.

Similarly, the area to the left of z = –1.50 is also 0.9332. Therefore, the area between z = –1.50 and z = 1.50 is:0.9332 - 0.0668 = 0.8664 (rounded to four decimal places).

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The probability density function (PDF) for the waiting time until service at a hospital emergency department is given by:

f(x) = (1/9)x    for 0 ≤ x ≤ 3

f(x) = (2/3) - (1/9)x   for 3 ≤ x ≤ 9

f(x) = 0   otherwise

Now, let's calculate the requested probabilities:

(a) Probability that the waiting time is less than 2 hours, P(X < 2):

To calculate this probability, we need to integrate the PDF from 0 to 2:

P(X < 2) = ∫[0,2] f(x) dx

For 0 ≤ x ≤ 2, we have f(x) = (1/9)x, so the integral becomes:

P(X < 2) = ∫[0,2] (1/9)x dx

        = (1/9) * [x^2/2] |[0,2]

        = (1/9) * (2^2/2)

        = (1/9) * (4/2)

        = 4/18

        = 2/9

Therefore, the probability that the waiting time is less than 2 hours is 2/9 or approximately 0.222.

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The total amount of broth needed for the recipe is 16/30 cup. This can be simplified to 8/15 cup or approximately 0.53 cup when rounded to two decimal places.

To find the total amount of broth needed for the recipe, you need to add the amounts of chicken broth and vegetable broth:

1/5 cup of chicken broth + 2/6 cup of vegetable broth

To add these two fractions, we need to find a common denominator:

1/5 = 6/30  (multiply numerator and denominator by 6)

2/6 = 10/30 (multiply numerator and denominator by 5)

Now we can add the fractions:

6/30 + 10/30 = 16/30

So the total amount of broth needed for the recipe is 16/30 cup. This can be simplified to 8/15 cup or approximately 0.53 cup when rounded to two decimal places.

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Answer:

slope is 1/3

Step-by-step explanation:

make a triangle from (1,-8) to  (7,-6)

you will rise 2 and go over six

rise/run 2/6 the slope is 1/3

Answer:

The slope is 1/3

Look for two points that are in an exact point.

I chose (1,-8) and (4,-7)

just by looking at those points, you can see the x value increased by 3

(1 to 4) that's the run. and y value increased by 1 (-8 to -7) that's the rise.

slope = rise over run so it is 1/3

Answer:

t = 12

Step-by-step explanation:

2t+6=3t-6

Subtract 2t from each side

2t-2t+6=3t-2t-6

6 =t -6

Add 6 to each side

6+6 = t-6+6

12 = t

Answer:

t = 12

Step-by-step explanation:

Goal : move all the "t" terms to one side and all the constants to the other side.

2t+6=3t-6     (subtract 6 from both sides)

2t = 3t - 6 - 6

2t = 3t -12   (subtract 3t from both sides)

2t - 3t = -12

-t = -12   (multiply both sides by -1)

t = 12

Answer:

it's the last one it always helps me the way my teacher told me the short hand is the hour and the long one is the minutes. if you write the words down and draw a line under them it tells you which hand is which.

Answer:

19

Step-by-step explanation:

Answer:

19

Step-by-step explanation:

LV is half of XV so basically 38 divided by 2