evaluate the double integral. 7y2 da, d is the triangular region with vertices (0, 1), (1, 2), (4, 1) d

If Suzy is picking up a cookie from a "cookie-jar", then the probability that Sizy will not pick a "vanilla-cookie" is 0.7.

The "Probability" of Suzy not picking a vanilla cookie can be found by first calculating the total number of cookies in the jar and then subtracting the number of vanilla cookies from it.

Then at last, we divide this number by the total number of cookies in the jar.

The total number of cookies in the jar is : 4 + 3 + 2 + 1 = 10,

The number of vanilla cookies in the jar is = 3.

So, the number of non-vanilla cookies is : 10 - 3 = 7,

The probability that Suzy will not pick a vanilla cookie is : 7/10,

Therefore, the probability that Suzy will not pick a vanilla cookie is 7/10 or 0.7, which is equivalent to a percentage of 70%.

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Answer:

4 roses & 2 carnations

Step-by-step explanation:

Answer:

Likely

Step-by-step explanation:

Let's list out all the numbers 1 to 12 first:

1 2 3 4 5 6 7 8 9 10 11 12

Nice! Now let's only keep the numbers that are greater than 4, since the other numbers don't satisfy the condition of "greater than 4"

5 6 7 8 9 10 11 12

There are 8 options that Bryson could choose out of all the 12 options. We can express that as 8 over 12:

\(\frac{8}{12}\)

Then, we simplify this by dividing both the numerator and denominator by 4, and we get:

\(\frac{2}{3}\)

Therefore, it is a 2/3 chance that Bryson will choose a number greater than 4, and we would say that 2/3 chance is likely, but not certain.

Answer:

1.  59% chance of drawing an odd card.  "As likely as not."

2.  A 66.67% chance of drawing a number greater than 4.  Likely

Step-by-step explanation:

We will assume that all card draws are random, as promised.  

The likihood of drawing an odd number is determined by counting how many numbers in the cards labelled 1 - 12 are odd.  There are 6 odd and 6 even cards.  Bryson's change of picking an odd card, randomly, is 6/12 (6 times out of 12 tries).  That's a 50% chance.  I don't see the options for answers, but "As likely as not" would be correct.  The chance for even is also 6/12, or 50%

To determine the likihood of picking a number great than 4, count the values greater than 4 (5,6,7,8,9,10,11,12)  There are 8 values greater than 4.  Bryson has an 8/12 chance of picking a number greater than 4.  That would mean a 66.666% chjance, which I would consider "likely."

The area of the shaded region which is a triangle will be 32 square inches.

Surface area refers to the area of an open surface or the border of a multi-object, whereas the area of a plane region or plane field refers to the area of a form or planar material.

From the graph, the height of the triangle is given as,

2h = L

2h = 16 inches

h = 8 inches

And the base of the triangle is half of the base of the rectangle. Then we have

b = L / 2

b = 16 / 2

b = 8 inches

Then the area of the shaded region is given as,

A = 1/2 x 8 x 8

A = 32 square inches

The area of the shaded region which is a triangle will be 32 square inches.

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The correct translation of 73x7(T(x)) is "There exists at least one meal that is tasty." This is logically equivalent to the statement "Some meals are tasty," which means that there are at least a few meals in the domain that satisfy the predicate T.

The statement "No meals are not tasty" is the double negation of the predicate, which is equivalent to T(x). However, this statement is not equivalent to the original statement because it does not imply that there are some meals in the domain that satisfy the predicate T.

The statement "Not all meals are tasty" is equivalent to ∃x(¬T(x)). This means that there exists at least one meal in the domain that does not satisfy the predicate T, which is logically equivalent to the original statement.

The statement "There is a meal that is not tasty" is equivalent to ∃x(¬T(x)), which is logically equivalent to the original statement.

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Rounded to 1 decimal place, the wholesaler's in-stock probability during a normal week is approximately 89.2%.

To calculate the wholesaler's in-stock probability during a normal week, we need to consider the number of items that are available for the entire week and divide it by the total demand.

Total demand = 4,800 items

Items not available for the entire week = 250 items

Items available for only part of the week = 270 items

Therefore, the number of items available for the entire week can be calculated as follows:

Items available for the entire week = Total demand - Items not available for the entire week - Items available for only part of the week

                                = 4,800 - 250 - 270

                                = 4,280 items

The in-stock probability can be calculated by dividing the number of items available for the entire week by the total demand and then multiplying by 100 to convert it to a percentage:

In-stock probability = (Items available for the entire week / Total demand) * 100

                   = (4,280 / 4,800) * 100

                   = 89.1666...

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The steps of the analytical problem-solving model include: identifying the problem, exploring alternatives, building an implementation plan, implementing a solution, and evaluating the situation.

Analytical problem solving, as we've defined it above, refers to the approaches and methods you use rather than the particular issue you're trying to resolve.

Analytical issue solving is a crucial prerequisite for problem resolution; the problem itself does not determine whether you need it.

Analytical problem solving involves recognising a problem, investigating it, and then creating ideas (such as causes and solutions) around it.

Solving analytical problems calls for inquiry, examination, and analysis that encourages additional study of the subject (including causality, symptoms, and solution).

According to the steps involved in analytical problem solving model:

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Answer:

  4,428-2,165=2,263

Step-by-step explanation:

you regroup the 2

The equation that uses numbers 2,165 and 4,428, and can be used to write and solve an equation that uses borrowing is 4,428-2,165=2,263.

Borrowing in subtraction, like "carrying" in addition, means to take quantities from one number and assign them to the next. The 10 is borrowed from the next higher digit column in this approach to generate a positive difference in the next column.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='. An equation that uses borrowing or regrouping can be written as,

4,428 - 2,165 = 2,263

Hence, the equation that uses numbers 2,165 and 4,428, and can be used to write and solve an equation that uses borrowing is 4,428-2,165=2,263.

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Answer:

Second choice: Student failed to square the x part

Step-by-step explanation:

x - 2y = 6 - 2.3 = 0 so that is the only plausible explanation

Answer: The student  failed to square the x² part. This led to calculating x² as six instead 36

given:

To find 3/4 is a solution of the above given equation.

let us subsitute in value of x.

now,

we get the same answer for the equation.

Thus 3/4 is a solution of the given equaion.

Answer:

x=55

Step-by-step explanation:

180-125=55

Answer:

55°

Step-by-step explanation:

If a line is 180 degrees then we know that the side of the triangle that has been extended add to 180 degrees. So we take that information and make an equation:

180 - 125 = 55

Answer:

d is vertical so its 70 b c and a combined is also vertical to e so we have 110

Step-by-step explanation:

Here, the partial fraction decomposition of the rational expression. The given expression is (7x - 4) / (x(x^2 + 6)^2). To write the form of the partial fraction decomposition, we first identify the factors in the denominator and their powers. In this case, we have x and (x^2 + 6).

Partial-fraction decomposition is the process of starting with the simplified answer and taking it back apart, of "decomposing" the final expression into its initial polynomial fractions. To decompose a fraction, you first factor the denominator. "Partial-Fraction Decomposition: General Techniques."
The form of the partial fraction decomposition is:
(7x - 4) / (x(x^2 + 6)^2) = A / x + B / (x^2 + 6) + C / (x^2 + 6)^2
Here, A, B, and C are constants that we would determine if we were to solve the decomposition. However, as requested, we will not solve for these constants.

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The probability of exactly 4 households being in violation of the law out of a random selection of 10 households can be calculated using the binomial probability formula. The formula is P(X=k) = (n choose k) * p^k * (1-p)^(n-k), where n is the number of trials, k is the number of successes, p is the probability of success, and (n choose k) is the binomial coefficient. In this case, n=10, k=4, and p=0.2 (since 20% of households are in violation). Plugging in these values, we get P(X=4) = (10 choose 4) * 0.2^4 * 0.8^6 ≈ 0.2508. Therefore, the probability of exactly 4 households being in violation out of a random selection of 10 households is approximately 0.2508 or 25.08%.

To explain this further, we can break down the formula. The (10 choose 4) term represents the number of ways to choose 4 households out of 10. The 0.2^4 term represents the probability of exactly 4 households being in violation (since the probability of any given household being in violation is 0.2). The 0.8^6 term represents the probability of the remaining 6 households not being in violation. Multiplying these terms together gives us the probability of exactly 4 households being in violation out of a random selection of 10 households.

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The solution to the given system of equations will be x = -2, y = 5/3. That is (-2, 5/3)

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

The given system of equation is;

y = 2/3 x + 3     ----------- (1)

x= -2                 ----------- (2)

The value of x has been given in the second equation.

Now, we need to determine the value of y

From the second equation, we have that;

x = -2

Now Substitute the value of x into the first equation,

y = 2/3 x + 3

y = 2/3 (-2) + 3

y = -4/3  + 3

y = 5/3

Hence, the solution to the given system of equations will be x = -2, y = 5/3. That is (-2, 5/3)

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Step-by-step explanation:

The given number is 7,594,000,000.

To convert it into scientific notation,

First move the decimal point places to the left to find a number that is greater than or equal to 1 and less than 10. Then multiply by 10 , using an exponent on 10 that equals the number of places you moved the decimal. The exponent is negative if the original no was <1 and the exponent is positive, if the original number was  > 1.

In 7,594,000,000, we move the decimal point places to the left before 5. It means we have moved 9 digits left.

Hence, \(7,594,000,000=7.59\times 10^9\) is the scientific notation.

Answer:

it would be 12x 26y doe to the problem

Answer:

The median is 33.5

Step-by-step explanation:

In order to solve for a median it would either be the middle or it would be the average of the middle if there are even amount of numbers. First you would put them in order. 12 17 28 31 36 54 55 and 71. This would mean the the middle number would be 31 and 36. Since you can't have two medians you would find the average of the two so add 31 and 36 which would be equal to 67 then divide by 2 which would equal to 33.5.

The median of numbers 17, 12, 54, 36, 71, 28, 31, 55 is 33.5.

The median of a set of numbers is the middle value when the numbers are arranged in ascending or descending order.

To find the median of the given numbers, we first need to arrange them in ascending order:

12 17 28 31 36 54 55 71

Since there are an even number of numbers (8), the median will be the average of the two middle values, which are 31 and 36.

To find the average, we add the two numbers and divide by 2:

(31 + 36) / 2 = 67 / 2 = 33.5

Therefore, the median of the given numbers is 33.5.

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We want to see how many solutions has an equation given some restrictions on the vectors of the equation.

We have 3 vectors in R2.

v₁, v₂, and v₃.

Where we know that v₁ and v₂ are parallel. And two vectors are parallel if one is a scalar times the other.

Then we can write:

v₂ = c*v₁

Where c is a real number.

Then our system:

x*v₁ + y*v₂ = v₃

Can be rewriten to:

x*v₁ + y*c*v₁ = v₃

(x + y*c)*v₁ = v₃

Assuming x, y, and c are real numbers, this only has a solution if v₁ is also parallel to v₃, because as you can see, the equation says that v₃ is a scallar times v₁.

Geometrically, this means that if we sum two parallel vectors, we will get a vector that is parallel to the two that we added.

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Im not sure if this is exactly what your assignment is looking for but this is solving for X

The y-intercept of a line in the xy-plane is (0,1) as shown in attached graph given int the question.

To find the y-intercept of a line in the xy-plane, we need to find the point where the line intersects the y-axis. The y-axis is the vertical axis that runs through the origin and is perpendicular to the x-axis. This means that the y-intercept is the value of y when x is equal to zero. Therefore, we can read off the y-intercept directly from the equation of the line. To find the y-intercept of a line in the xy-plane, we need to find the point where the line intersects the y-axis. The y-axis is the vertical axis that runs through the origin and is perpendicular to the x-axis.

In the given graph we can see that the line intersects the point 1 on y axis.

Therefore, y-intercept of a line in the xy-plane is (0,1).

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Answer:

56 deceased by 14% is 48.16

262 decreased by 39% is 159.82

Answer:

0 < x ≤ 100 and 0 < y ≤ 300

Step-by-step explanation:

THIS IS THE COMPLETE QUESTION BELOW;

college is currently accepting students that are both in-state and out-of-state. They plan to accept three times as many in-state students as out-of-state, and they only have space to accept 100 out-of-state students. Let x = the number of out-of-state students and y = the number in-state students. Write the constraints to represent the incoming students at the college.

0 < x ≤ 100 and 0 < y ≤ 300

x > 0 and y > 0

0 < x ≤ 100 and y > 300

0 < x and y < 100

SOLUTION

they only have space to accept 100 out-of-state students,which means that the Maximum number of out-of-state students that can be accepted is 100

Then x= 100(Maximum number of out-of-state students that can be accepted)

They plan to accept three times as many in-state students as out-of-state which means that

Y = 3x(Maximum number of in-state students)

Then we can deduced that the numbee out-of-state students that can be accepted can lyes between the range of 0 and 100 which means from interval 0 to 100

Which can be written as 0 < x ≤ 100

But we need to know the interval for the Maximum number of in-state students(Y), to do that we need to multiply the equation above by 3 since Y = 3x

0 < x ≤ 100

3× 0 = 0

3× X = X

3× 100= 300

Then 0 < 3x≤ 300

But we know that Y = 3x then substitute into last equation

We have

0 < y ≤ 300

ThenBthe constraints to represent the incoming students at the college is

0 < x ≤ 100 and 0 < y ≤ 300

Answer:

0 < x ≤ 100 and 0 < y ≤ 300

Step-by-step explanation:

took test & got it right

Answer:

They started the morning shift with 80 cups of coffee

3 hours into the shift the chef made 40 more cups of coffee

45 minutes into the shift 60 cups of coffee were sold

Explanation:

The graph says that:

1. They started the shift with 80 cups of coffee in stock (point A)

2. 25 minutes later, they had 60 cups of coffee (point B)

3. at 45 minutes, they had 20 cups of coffee (point C)

4. at 2 hours they had 0 cups of coffee. (point D)

5. After 3 hours they had 40 cups of coffee (point E)

6. At the end of the morning they had 10 cups of coffee. (point F)

Therefore, the true statement are:

They started the morning shift with 80 cups of coffee because that is the information showed by point A.

3 hours into the shift the chef made 40 more cups of coffee because at point D there was no cups of coffee, then at point E which is 3 hours into the shift there were 40 cups of coffee.

45 minutes into the shift 60 cups of coffee were sold because they started with 80 cups and 45 minutes later they had 20 cups. It means that they sell 80 - 20 = 60 cups of coffee.

So, the answers are:

They started the morning shift with 80 cups of coffee

3 hours into the shift the chef made 40 more cups of coffee

45 minutes into the shift 60 cups of coffee were sold

Three cards are drawn from a standard deck. Thus, the probability to get an ace, followed by a king, and then a queen, is  16/34,425

The formula for conditional probability is:

P(A∩B) = P(B|A) . P(A)

In the given problem:

P(ace) = 4 / 54

After an ace was drawn, the number of cards now is 51.

Hence,

P(king | ace) = 4/51

After the second drawn, the remaining cards is 50. Hence,

P(queen | (king | ace)) = 4/50

Therefore,

P(ace,king,queen) = 4/54 x 4/51 x 4/50 = 64 / 137,700 = 16/34,425

Thus, the probability to get an ace, followed by a king, and then a queen, is  16/34,425

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The area of Liberty's township square playground; trinomial x²-10x+25 can also be represented as the square of (x - 5).

The trinomial x² - 10x + 25 represents the area of Liberty's township square playground.

To understand this trinomial, let's break it down and analyze its components:

x²represents the area of a square with side length x.

-10x represents the length of the rectangular portion of the playground.

25 represents the area of a smaller square within the playground.

So, in essence, the playground can be visualized as a square with side length x, from which a rectangular section measuring 10x is subtracted, and within that remaining space is a smaller square with side length 5 (since 5² = 25).

In terms of factoring the trinomial, we can rewrite it as a perfect square:

x² - 10x + 25 = (x - 5)²

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Answer:

Step-by-step explanation:

Complete question:

Write the verbal statement as an equation using x as a variable. Then solve. 2 more than 3 times a number is 17.

The required expression is 3x + 2 = 17 and the value of x is 5

Let the unknown number be x

If the result is equivalent to 17, the required expression will be 3x + 2 = 17

Solve the resulting expression:

3x + 2 = 17

3x = 17 - 2

3x = 15

x = 15/3

x = 5

Hence the required expression is 3x + 2 = 17 and the value of x is 5

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