Two fifths of the performance were sold out. There were 15 performances that were not sold out. a. How many performances were there? b. What was the ratio sold out to not sold out performances?

The probability of choosing a white marble from the box can be determined by dividing the number of white marbles by the total number of marbles.

In this case, the box contains 7 green marbles and 6 white marbles, so the total number of marbles is 13.

To find the probability, we divide the number of white marbles (6) by the total number of marbles (13):

Probability of choosing a white marble = 6 / 13

To express this as a decimal number, we divide 6 by 13:

Probability of choosing a white marble ≈ 0.4615 (rounded to 4 decimal places)

The probability of choosing a white marble from the box is approximately 0.4615.

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Answer is F

A horizontal line has slope zero since it does not rise vertically (i.e. y1 − y2 = 0), while a vertical line has undefined slope since it does not run horizontally (i.e. x1 − x2 = 0). because division by zero is an undefined operation.

Answer:

y<-108

Step-by-step explanation:

I hope that this helps you, have a good day.

Using a t-distribution, with 20 degrees of freedom, the critical t-value that corresponds to 95% confidence is t = 2.0860.

It is found with the help of a calculator, having two inputs:

Hence, using a calculator, with 20 degrees of freedom, the critical t-value that corresponds to 95% confidence is t = 2.0860.

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This value of v into the formula for centripetal acceleration, we have:14.7 = (2πr/45)2Solving for r, we get:r = 77 meters (rounded to the nearest whole number). Therefore, the radius of the loop is 77 meters.

A loop is created by having an airplane follow a circular path in a vertical plane. This means that the acrobatic plane has centripetal acceleration, which is directed towards the center of the circular path. The acceleration depends on the speed of the plane, the mass of the plane, and the radius of the circular path. The acceleration can be calculated using the formula a = v2/r where v is the velocity and r is the radius of the circular path.

The given centripetal acceleration, a = 14.7 m/s2, is equal to v2/r. The velocity of the plane is not given, but we can use the fact that the pilot takes 45 seconds to complete the loop to find the velocity. During the loop, the plane travels a distance equal to the circumference of the circular path.

Therefore, the velocity of the plane is given by the formula v = 2πr/t where t is the time taken to complete one loop, which is 45 seconds.

Substituting this value of v into the formula for centripetal acceleration, we have:14.7 = (2πr/45)2Solving for r, we get:r = 77 meters (rounded to the nearest whole number) Therefore, the radius of the loop is 77 meters.

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Answer:

6. is proportional, 7. is not proportional, 8. is not proportional

Step-by-step explanation:

Solution:

Given;

A bookstore had 81 copies of a magazine.

7/9 copies were sold yesterday.

The number of books sold yesterday will be

Hence, 63 magazines were sold yesterday.

Answer:

\( \huge{ \fbox{ \text{3}}}\)

Step-by-step explanation:

\( \sf{A ( \: a \:, b \: )\: \longrightarrow{ \: (x1 \:, y1)}} \)

\( \sf{ \: B( - 9 \: 6) \: \longrightarrow{ (x2 \:, y2)}}\)

\( \boxed{ \sf{midpoint = ( \frac{x1 + x2}{2} \: , \frac{y1 + y2}{2} )}}\)

\( \mapsto{ \sf{( - 3 \:, 5 \: ) \: = \: ( \frac{a + ( - 9)}{2} \:, \frac{b + 6}{2}}}) \)

\( \mapsto{ \sf{( - 3 \:, 5) \: = \: ( \: \frac{a - 9}{2} \:, \frac{b + 6}{2} )}}\)

\( \sf{ \mapsto{ - 3 = \frac{a - 9}{2} }}\)

Solve for a

\( \mapsto{ \sf{ - 6 = a - 9}}\)

\( \mapsto{ \sf{a - 9 = - 6}}\)

\( \mapsto{ \sf{a = - 6 + 9}}\)

\( \mapsto{ \sf{a = 3}}\)

The value of a is 3

Hope I helped!

Best regards! :D

~\( \text{TheAnimeGirl}\)

Answer:

(-6,5.5)

Step-by-step explanation:

(-9,6)-(-3,5)

-9+-3/2       6+5/2

x=-6 y=5.5

The frequency with the largest amplitude is `w ≈ 2.303` (rtol=0.01, atol=1e-08).

The question asks us to find the frequency w for which the particular solution to the differential equation \(dạy dy 2- + dt2 + 2y = eiwt dt\)has the largest amplitude.

We can assume a positive frequency w > 0.

Let's find out how to solve this problem:

We need to find the particular solution in the form Aeiwt, and then minimize the modulus of the denominator of A over all frequencies w. It means the denominator of A will have a maximum amplitude if we minimize the modulus. The amplitude of the solution is given by the value of |A|.

Let us assume the particular solution to be `\(y = Aeiwt`.\)

Substitute the above solution in the given differential equation.

Then, we get:\(`d^2(A e^(iwt))/dt^2 + 2(A e^(iwt)) = e^(iwt)`\)Applying the differential operator on the above equation,

we get: \(`(iwt)^2 A e^(iwt) + 2A e^(iwt) = e^(iwt)`Therefore, `A = 1 / (1 - (w^2) + 2i)`.\)

Thus, the amplitude of the particular solution is:

\(`|A| = 1 / sqrt((1 - w^2)^2 + 4w^2)`\)

Now, we need to minimize the above expression to get the frequency w at which the amplitude of the particular solution is maximum. This can be done by minimizing the modulus of the denominator of A over all frequencies w.To minimize the above expression, we take the derivative of the expression with respect to w and equate it to zero, which gives us: \(`(8w^2) / ((w^2 - 1)^2 + 4w^2)^(3/2) - (2(w^2 - 1)) / ((w^2 - 1)^2 + 4w^2)^(3/2) = 0`\)

Simplifying the above expression, we get: `

\(2w^2 = w^4 - 3w^2 + 1`\)

Therefore, \(`w^4 - 5w^2 + 1 = 0`.\)

Solving the above equation gives us:

`\(w^2 = (5 ± sqrt(21)) / 2`\).Since we know that w > 0, we choose the positive value of w.

Thus, the value of w is: \(`w = sqrt((5 + sqrt(21)) / 2)` or `w ≈ 2.303\)`.

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Answer:

rational no.

Step-by-step explanation:

4/7n-1/3

n=-1/3×7/4

n= -7/12

because it is in the form of p/q where q is not equals to 0

Answer: C.5

Step-by-step explanation:

\(\Large\texttt{Answer}\)

\(\bf{\cfrac{1}{2}}\)

\(\overline{\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad}\)

\(\Large\texttt{Process}\)

Do you remember that we cannot add fractions when they have unlike denominators? We can onyl add fractions as long as they have the same denominator!

So here's the big idea: fractions must have the same denominator.

If we multiply the first fraction by 2, then both fractions will have the same denominator. *

* Why 2??

-  Because:

We need to find the least common multiple of 3 and 6, which is 6. Next, what should 3 be multiplied by to result in 6? That's right, 2.

Also, we can only multiply the denominator by 2 as long as we multiply the numerator by 2!

So that's why we multiply the whole fraction by 2

\(\bf{\cfrac{1\times2}{3\times2}+\cfrac{1}{6}}\)

Watch what happens

\(\bf{\cfrac{2}{6}+\cfrac{1}{6}}\)

Add the numerators

\(\bf{\cfrac{2+1}{6}}\)

\(\bf{\cfrac{3}{6}}\)

Simplifying the fractions

\(\bf{\cfrac{3\div3}{6\div3}}\)

\(\bf{\cfrac{1}{2}}\)

Hope that helped

Answer: 1 / 2

Step-by-step explanation:

Given information

\(\frac{1}{3} ~+~\frac{1}{6}\)

Convert the denominator (3, 6) into the same common denominator

Least Common Multiple (LCM) of 3 and 6 = 6

\(=\frac{1~*~2}{3~*~2} ~+~\frac{1}{6}\)

\(=\frac{2}{6} ~+~\frac{1}{6}\)

Combine two fractions

\(=\frac{2~+~1}{6}\)

\(=\frac{3}{6}\)

Simplify the fraction by dividing 3 on both numerator and denominator

\(=\frac{3~/~3}{6~/~3}\)

\(=\Large\boxed{\frac{1}{2} }\)

Hope this helps!! :)

Please let me know if you have any questions

Answer:

Step-by-step explanation:

x      y

0     6

24    0

Points are (0,6) and (24,0)

Answer:

that what i got

Step-by-step explanation:

Answer:

-13

Step-by-step explanation:

Answer:

-13

Step-by-step explanation:

Becuase 13's opposite is -13.

(If you still dont understand you can search up negative and positive number lines up to 20!)

Answer:

159.75

Step-by-step explanation:

Hope this helps!!!

241.3

- 81.55

= 159.75

Answer:

The answer is 159.75, have a good day/night☁

Answer:

Plan a is y = 40 + 20x

Plan b is y = 30X

Step-by-step explanation:

The step by step explanation is the why equals 40 plus 20x starts at 040 and goes with a slope of 20. And plan b starts at zero with a slope of 30.

If a coin has landed on heads 27 times in a row, the probability of the next toss resulting in a heads is 0.5 or 50%.

In flipping a fair coin, there are only two possible outcomes: heads or tails.

Both outcomes are equally likely, so the probability of getting either outcome on any given toss is 0.5 or 50%.Since a coin has no memory of previous flips, the probability of getting heads on the next toss is still 0.5 or 50%, even if it has landed on heads for the previous 27 tosses.

When tossing a coin, there are only two possible outcomes: heads or tails. If the coin has landed on heads 27 times in a row, the probability of getting a head on the next toss is 0.5 or 50%.

This is because the coin has no memory of the previous tosses, and the probability of getting heads or tails on each toss remains constant at 0.5 or 50%.

The probability of getting a heads on a single toss is 0.5 or 50%, regardless of how many times the coin has landed on heads or tails in the past.

Each coin toss is an independent event and is not influenced by previous tosses. This means that the probability of getting heads on the next toss is still 0.5 or 50%, even if it has landed on heads for the previous 27 tosses.This concept is called the Law of Large Numbers.

It states that as the number of trials (coin tosses) increases, the actual results will come closer to the theoretical probability.

For example, if the coin is tossed 100 times, the probability of getting heads 27 times in a row is quite low. However, as the number of tosses increases, the probability of getting 27 heads in a row approaches zero.

This is because the actual results will eventually approach the theoretical probability of getting heads or tails, which is 0.5 or 50%.

Therefore, regardless of how many times a coin has landed on heads or tails in the past, the probability of getting heads on the next toss is still 0.5 or 50%.

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The total surface area of the apparatus is approximately 16454.87 mm².

To calculate the total surface area of the apparatus, we need to find the surface area of the two metal cubes and the surface area of the cylinder.

Each metal cube has six faces, and since they are identical, we only need to calculate the surface area of one cube. The surface area of a cube can be found by multiplying the length of one edge by itself and then multiplying by 6. In this case, the length of each edge is 30 mm, so the surface area of one cube is:

Surface area of cube = 6 * (30 mm * 30 mm) = 6 * 900 mm² = 5400 mm²

Now, let's calculate the surface area of the cylinder. The surface area of a cylinder can be found by adding the areas of the two circular bases and the lateral surface area. The formula for the lateral surface area of a cylinder is given by 2 * π * radius * height.

In this case, the radius of the cylinder is equal to the length of one edge of the cube, which is 30 mm, and the height of the cylinder is also 30 mm (since the cubes are fixed to the cylinder). Therefore, the lateral surface area of the cylinder is:

Lateral surface area of cylinder = 2 * π * 30 mm * 30 mm = 1800π mm²

The total surface area of the apparatus is the sum of the surface area of the two cubes and the surface area of the cylinder:

Total surface area = 2 * surface area of cube + surface area of cylinder

= 2 * 5400 mm² + 1800π mm²

≈ 10800 mm² + 5654.87 mm²

≈ 16454.87 mm²

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Answer:

it is correct you are right

To show that 4n^3 - 7n^2 + 2n - 5 is Θ(n^3), we need to find real-valued constants c' and c'' and an integer constant n0 such that the function satisfies both the lower and upper bounds of the big-Theta notation. By analyzing the function, we can determine the appropriate constants and provide a justification for their selection.

Let's analyze the given function: f(n) = 4n^3 - 7n^2 + 2n - 5.

To prove that f(n) is Θ(n^3), we need to find positive constants c' and c'' and an integer constant n0 such that for all n ≥ n0:

1. Lower bound: There exists c' such that f(n) ≥ c'n^3.

2. Upper bound: There exists c'' such that f(n) ≤ c''n^3.

Considering the given function, we observe that all terms have a maximum degree of n^3. Thus, we can ignore lower-degree terms for the purpose of determining the bounds.

1. Lower bound: We choose c' = 3. For n ≥ 1, we have f(n) = 4n^3 - 7n^2 + 2n - 5 ≥ 3n^3, satisfying the lower bound condition.

2. Upper bound: We choose c'' = 4. For n ≥ 1, we have f(n) = 4n^3 - 7n^2 + 2n - 5 ≤ 4n^3, satisfying the upper bound condition.

By choosing c' = 3, c'' = 4, and n0 = 1, we have justified that f(n) = 4n^3 - 7n^2 + 2n - 5 is Θ(n^3) according to the definition of big-Theta. These constants provide a reasonably tight lower and upper bound for the function.

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Answer:

HCF = 6.

Step-by-step explanation:

The Highest Common factor is 6.

Other common factors are 1, 2 and 3.

Answer:

$1.98

Step-by-step explanation:

12 ÷ 0.72 = 16.67

33 ÷ X = 16.67

X = 33 ÷ 16.67

=1.98

The correct answer is D: Max (Peak Memory BW x Arithmetic Intensity, Peak Floating-Point Performance).

1a. C: 101 to calculate the speedup, we need to consider the computing load distribution among the processors. In this case, 10 processors carry 20% of the load, which means each of these processors handles 2% of the load. The remaining 90 processors share the rest of the load evenly, so each processor among these 90 handles (100% - 20%) / 90 = 0.8889% of the load.

The speedup can be calculated using Amdahl's Law, which states that the speedup is limited by the portion of the program that cannot be parallelized. In this case, the matrix subtraction is fully parallelizable, so the only portion that cannot be parallelized is the sum of the scalar variables.

The speedup formula is given by: Speedup = 1 / [(1 - p) + (p / n)], where p is the portion that can be parallelized and n is the number of processors.

In this case, p = 0.02 (for the 10 processors) and n = 100. Substituting these values into the formula, we get: Speedup = 1 / [(1 - 0.02) + (0.02 / 100)] = 1 / 0.99 = 1.0101.

Therefore, the correct answer is C: 101.

1b. A:

mul.d $v1, $v0, $f1

add.d $v3, $v1, $v2

The code snippet performs the DAXPY operation, which multiplies a scalar value (a) with a vector (x) and adds the result to another vector (y). The blank instructions should be filled with the above choices.

1c. C: In fine-grained multithreading, switching between threads happens after every instruction.

In fine-grained multithreading, switching between threads happens after every instruction, which is an incorrect statement. Fine-grained multithreading allows switching between threads at a much finer granularity, such as cycle-by-cycle or instruction-by-instruction, to improve resource utilization.

1d. B: Peak Floating-Point Performance

In the roofline model, the attainable GFLOPs/sec is set by the peak floating-point performance of the processor. The roofline model is a performance model that visualizes the performance limitations of a system based on the memory bandwidth and arithmetic intensity of the code. The attainable performance is determined by the lower value between the peak memory bandwidth and the peak floating-point performance. Therefore, the correct answer is B: Peak Floating-Point Performance.

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There are 720 ways the first three positions of the order of finish can occur assuming no ties in a race with 10 horses.

To calculate the number of ways the first three positions can occur, we use the permutation formula:

nPr = n! / (n - r)!

where n is the total number of objects and r is the number of objects we are choosing.

In this case, we have 10 horses and we want to choose the first three positions, so we get:

10P3 = 10! / (10 - 3)! = 10! / 7! = (10 x 9 x 8) / (3 x 2 x 1) = 720

Therefore, there are 720 ways the first three positions of the order of finish can occur assuming no ties.

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Answer: Y=-5/2x+5(Idk i'm doing it off of my head)

Answer:

y=5/2x -5 slope is 5/2

Step-by-step explanation:

parallel lines have the same slope

Answer:

40mm³

Step-by-step explanation:

Volume is the measure of total space taken up by a 3 dimensional (3D) shape or object. Different shapes have different equations to solve for the volume.

The equation we can use to solve for the area of a rectangular pyramid is:

Inserting the numbers into the equation:

Therefore, the volume of the rectangular pyramid is 40mm³.

Answer:

40mm3

Step-by-step explanation:

i did the test lol

Answer:

93%

Step-by-step explanation: