please say how u got ur answer 2

Chase and Simon (1973) conducted a study on the memory of chess novices and experts for positions of chess pieces on a chessboard. They found that although experts generally have a better memory for chess positions than novices, novices performed equally or even better than experts when asked to recall random arrangements of chess pieces on the chessboard, even if the arrangements couldn't occur in a real game of chess.

One possible explanation for this phenomenon is that experts rely heavily on their knowledge of typical chess positions and patterns to remember the positions of the pieces. However, when the pieces are arranged randomly, these patterns are disrupted, and experts may struggle to apply their existing knowledge effectively. On the other hand, novices may not have developed strong patterns or strategies yet, so they approach the task with a more flexible mindset and are less affected by the random arrangement. They may use more general memory strategies, such as chunking or grouping the pieces together, which can be useful for recalling random arrangements.
In summary, novices may perform as well as experts when the pieces are arranged randomly because they rely less on established patterns and can use more general memory strategies to recall the positions.

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Answer:

All apply values are:

0 ⇒ A

\(\frac{\pi }{3}\) ⇒ B

\(\frac{5\pi }{3}\) ⇒ E

Step-by-step explanation:

∵ 0 ≤ x ≤ 2π is the domain for angle x

∴ 0 ≤ \(\frac{x}{2}\) ≤ π is the domain of angle

∵ sin(\(\frac{x}{2}\)) + cos(x) - 1 = 0

→ To solve the equation we should use the rule of cosine double angle

∵ cos(x) = 1 - 2 sin²(\(\frac{x}{2}\))

→ Substitute it in the equation above

∴ sin(\(\frac{x}{2}\)) + (1 - 2 sin²(\(\frac{x}{2}\)) = 0

∴ sin(\(\frac{x}{2}\)) + 1 - 2 sin²(\(\frac{x}{2}\)) = 0

→ Add the like terms

∴ sin(\(\frac{x}{2}\)) + (1 - 1) - 2 sin²(\(\frac{x}{2}\)) = 0

∴ sin(\(\frac{x}{2}\)) - 2 sin²(\(\frac{x}{2}\)) = 0

→ Take sin(\(\frac{x}{2}\)) as a common factor

∴ sin(\(\frac{x}{2}\)) [1 - 2sin(\(\frac{x}{2}\))] = 0

→ Equate each factor by 0

∵ sin(\(\frac{x}{2}\)) = 0

→ The value of sine equal zero on the x-axis

∴ \(\frac{x}{2}\) = 0, π, 2π

∵ The domain of  \(\frac{x}{2}\) is 0 ≤ (\(\frac{x}{2}\)) ≤ π

∴  \(\frac{x}{2}\) = 0 and π ⇒ 2π refused because ∉ the domain

→ Multiply both sides by 2 to find x

∴ x = 0 and 2π

∵ 1 - 2sin(\(\frac{x}{2}\)) = 0

→ Subtract 1 from both sides

∴ - 2sin(\(\frac{x}{2}\)) = -1

→ Divide both sides by -2

∴ sin(\(\frac{x}{2}\)) = \(\frac{1}{2}\)

→ The sine is positive in the 1st and 2nd quadrants

∴ (\(\frac{x}{2}\)) lies on the 1st OR 2nd quadrants

∵ (\(\frac{x}{2}\)) = \(sin^{-1}(\frac{1}{2})\)

∴ (\(\frac{x}{2}\)) = \(\frac{\pi }{6}\) ⇒ 1st quadrant

→ Multiply both sides by 2

∴ x = \(\frac{\pi }{3}\)

∵ (\(\frac{x}{2}\)) = π - \(\frac{\pi }{6}\) = \(\frac{5\pi }{6}\) ⇒ 2nd quadrant

→ Multiply both sides by 2

∴ x = \(\frac{5\pi }{3}\)

∴ The values of x are 0, \(\frac{\pi }{3}\),  \(\frac{5\pi }{3}\), 2π

All apply values are:

0 ⇒ A

\(\frac{\pi }{3}\) ⇒ B

\(\frac{5\pi }{3}\) ⇒ E

Answer:

0

StartFraction pi Over 3 EndFraction  

StartFraction 5 pi Over 3 EndFraction

Step-by-step explanation:

A,B,E

Answer:

73°

Step-by-step explanation:

As it is a hexagon, the sum of the interior angles in 720°

4x+165+132+131=720 4x=292 x=73°

Answer:

Step-by-step explanation:

Use Pythagorean:

Answer:

37x - 16y

Step-by-step explanation:

I added a photo of my solution

Answer:

Step-by-step explanation:

61x + 63y + -24x + 47y

The set of natural numbers {1,2,3,4,...} and the set of positive even numbers {2, 4, 6, 8, . . .} are different because natural numbers include all positive integers, while even numbers only include those that are divisible by 2 with no remainder.

Two important sets of numbers are natural numbers and even numbers. The set of natural numbers consists of numbers that are not negative, beginning with 1 and continuing indefinitely with 2, 3, 4, and so on.

The set of even numbers, on the other hand, consists of numbers that are divisible by 2, beginning with 2, 4, 6, and so on.

Positive integers refer to natural numbers. Any integer greater than zero is a positive integer.

Zero is not a positive integer. Hence, the set of natural numbers consists of {1,2,3,4,…}

On the other hand, the set of even numbers consists of {2, 4, 6, 8, . . .}.

Therefore, {1,2,3,4,…} and {2, 4, 6, 8, . . .} are two different sets of numbers where one set is composed of positive integers (natural numbers) and the other is composed of positive even numbers.

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Answer:

I mean, that's a color palette. It's usually used to select paints and stuff. I think it's called a palette sample? I don't think they have very specific names.

The average speed rating and average satisfaction rating for the surveyed brokers are 3.1818.

Brokerage | Speed | Satisfaction

--------- | ----- | ------------

A         | 3.4   | 3.5

B         | 3.3   | 3.6

C         | 3.4   | 3.9

D         | 3.6   | 3.7

E         | 3.2   | 2.9

F         | 3.8   | 2.8

G         | 3.8   | 3.6

H         | 2.6   | 2.4

I         | 2.7   | 2.3

J         | 4.0   | 4.0

K         | 2.5   | 2.5

To analyze the survey results, we can calculate the average ratings for brokerage speed and satisfaction. Let's calculate the average ratings:

Average Speed Rating = (Sum of Speed Ratings) / (Number of Brokers)

Average Speed Rating = (3.4 + 3.3 + 3.4 + 3.6 + 3.2 + 3.8 + 3.8 + 2.6 + 2.7 + 4.0 + 2.5) / 11

Average Speed Rating ≈ 3.1818

Now, Average Satisfaction Rating = (Sum of Satisfaction Ratings) / (Number of Brokers)

= (3.5 + 3.6 + 3.9 + 3.7 + 2.9 + 2.8 + 3.6 + 2.4 + 2.3 + 4.0 + 2.5) / 11

Average Satisfaction Rating ≈ 3.1818

Therefore, the average speed rating and average satisfaction rating for the surveyed brokers are 3.1818.

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We simply multiply the original side length with the scale factor. So we get 4.3*3.4 = 14.62 cm as the new larger side length.

Answer:

\(y = - \frac{7}{5} x + 59\)

Answer:

²,2.5,2.5+10,25.0

may it help you

Answer:

$2,700

Step-by-step explanation:

15% of $18,000 = 0.15 × $18,000 = $2,700

Answer:

9,10,11 are the values of n

Answer:

even

Step-by-step explanation:

43,006,584 + 14,898,204 = 57,904,788 so it is even

The dolphin is 90.67 feet far from the base of the pier.

You look straight parallel to ground. But when you have to watch something down, then you take your sight down by moving your head up. The angle from horizontal to the point where you stopped your head is called angle of depression.

Given that the angle of depression from her to the dolphin is 22°

α = 22°

So, Tan α = opp/adj......... 1

Opp = 33 feet

Adj = x

Substitute the values into equation 1

Tan 22° = 33feet/adj

0.36397 = 33/adj

0.36397×adj = 33

Adj = 33/0.36397

Adj = 90.666

Recall, adj = x = 90.666feet

x = 90.67feet

Hence, the dolphin is 90.67 feet far.

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In this problem, we have a binomial probability distribution

so

n=3

p=0.50

q=0.50

Find out P(X=2)

Answer:

x=16

Step-by-step explanation:

First start of by collecting like terms: 9x+x+x and -8+10+2. There the x's equal 11x and the numbers equal 4. We add those together to make 11x+4. As this is a triangle all the angles add up to 180 degrees, so we equal 11x+4 to 180 degrees. Like 11x+4=180. Subtract the 4 from each sides, to get 11x=176. Then divide both sides by 11, to get x=16

Answer:

y=-3(x+0)^2 +1

Step-by-step explanation:

hope this helps

Answer:

26.85 in

Step-by-step explanation:

5+7+7 = 19

C 2πr/2 = 7.85

19+7.85 = 26.85

The lines y = 2 and x = 4 are neither parallel nor perpendicular.

The given lines are y = 2 and x = 4.

The line y = 2 is a horizontal line because the value of y remains constant at 2, regardless of the value of x. This means that all points on the line have the same y-coordinate.

On the other hand, the line x = 4 is a vertical line because the value of x remains constant at 4, regardless of the value of y. This means that all points on the line have the same x-coordinate.

Since the slope of a horizontal line is 0 and the slope of a vertical line is undefined, we can determine that the slopes of these lines are not equal. Therefore, the lines y = 2 and x = 4 are neither parallel nor perpendicular.

Parallel lines have the same slope, indicating that they maintain a consistent distance from each other and never intersect. Perpendicular lines have slopes that are negative reciprocals of each other, forming right angles when they intersect.

In this case, the line y = 2 is parallel to the x-axis and the line x = 4 is parallel to the y-axis. Since the x-axis and y-axis are perpendicular to each other, we might intuitively think that these lines are perpendicular. However, perpendicularity is based on the slopes of the lines, and in this case, the slopes are undefined and 0, which are not negative reciprocals.

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Answer:

hope it helps. The required expression is 3 - 5x

Step-by-step explanation:

The required expression is 3 - 5x

Answer:

(21)(21)

Step-by-step explanation:

21x21=441

21²

Answer:

whats the question i can't really see it

Step-by-step explanation:

The least amount that Pablo can spend on paint to complete his painting job is $80, whether he chooses to buy 1 liter cans or 2.5 liter cans.

To calculate the least amount Pablo can spend on paint, we need to determine the area of the wall not covered by the notice board and then divide it by the coverage of each can of paint.

The total area of the wall is given by the sides of the square wall: 6 m × 6 m = 36 square meters.

The area covered by the notice board is given by its dimensions: 4 m × 3 m = 12 square meters.

Therefore, the area not covered by the notice board is 36 square meters - 12 square meters = 24 square meters.

Now we need to determine how many cans of paint are required to cover the remaining area.

For 1 liter cans:

Coverage per can = 3 square meters

Number of cans needed = Area not covered / Coverage per can = 24 square meters / 3 square meters = 8 cans

For 2.5 liter cans:

Coverage per can = 2.5 * 3 = 7.5 square meters

Number of cans needed = Area not covered / Coverage per can = 24 square meters / 7.5 square meters ≈ 3.2 cans

Since we cannot purchase a fraction of a can, we need to round up to the next whole number of cans required. Therefore, we would need 4 cans.

Now, let's calculate the cost for each scenario:

For 1 liter cans:

Number of cans needed = 8 cans

Cost per can = $10

Total cost = Number of cans * Cost per can = 8 cans * $10/can = $80

For 2.5 liter cans:

Number of cans needed = 4 cans

Cost per can = $20

Total cost = Number of cans * Cost per can = 4 cans * $20/can = $80

In both cases, the total cost comes out to be $80.

Therefore, the least amount that Pablo can spend on paint to complete his painting job is $80, whether he chooses to buy 1 liter cans or 2.5 liter cans.

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Answer:

\(3 \times \frac{1}{3 } + \frac{1}{2} \times - 12( \frac{1}{3} ) = \frac{1}{3} \)

The quadrature formula for the natural cubic spline with evenly spaced knots becomes I = 2h(y0 + 2y1 + 2y2 + ⋯ + 2yn-1 + yn) - (2/4)h^3(k0 + k1 + k2 + ⋯ + kn-1 + kn), where h is the distance between the knots and ki = yi''.

To show that if y = f(x) is approximated by a natural cubic spline with evenly spaced knots, the quadrature formula becomes I = 2h(y0 + 2y1 + 2y2 + ⋯ + 2yn-1 + yn) - (2/4)h^3(k0 + 2k1 + k2 + ⋯ + 2kn-1 + kn), where h is the distance between the knots and ki = yi''.

The natural cubic spline interpolates the function f(x) using piecewise cubic polynomials between each pair of adjacent knots. Let's denote the spline functions as Si(x) for i = 0 to n-1, where Si(x) is defined on the interval [xi, xi+1].

The composite trapezoidal rule is used to approximate the integral of f(x) over each interval [xi, xi+1]. It is given by the formula:

Ti = h/2 * (yi + yi+1)

where Ti represents the approximation of the integral over the interval [xi, xi+1].

Summing up the trapezoidal approximations over all intervals, we get:

I = T0 + T1 + T2 + ⋯ + Tn-1

 = (h/2) * (y0 + y1) + (h/2) * (y1 + y2) + ⋯ + (h/2) * (yn-1 + yn)

 = h/2 * (y0 + 2y1 + 2y2 + ⋯ + 2yn-1 + yn)

Now, let's consider the correction term for curvature. The curvature term measures the second derivative of the spline functions at each knot. Using the notation ki = yi'', we have:

C = (2/4)h^3 * (k0 + k1 + k2 + ⋯ + kn-1 + kn)

Adding the curvature correction term to the trapezoidal approximation, we obtain the final quadrature formula:

I = h/2 * (y0 + 2y1 + 2y2 + ⋯ + 2yn-1 + yn) - (2/4)h^3 * (k0 + k1 + k2 + ⋯ + kn-1 + kn)

This formula represents the integration approximation using the natural cubic spline with evenly spaced knots. The first part corresponds to the composite trapezoidal rule, and the second part provides a correction for the curvature of the spline.

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Answer:

Step-by-step explanation:

380 rows in total

bcs

use sense