What is 3 ÷ 2/5

The quotient is 7 and _____

The percentage increase in the diameter of the drain pipe necessary to enable it to carry 60 litres per second is  28.87%.

Given that the carrying capacity is directly proportional to the area, we can write:

C1 ∝ A1 = πr₁²

Since the carrying capacity is directly proportional to the area, we have:

C2 ∝ A2 = πr₂²

To find the percentage increase in diameter, we need to find the ratio of the increased area to the initial area and then express it as a percentage. Let's calculate this ratio:

(A2 - A1) / A1 = (πr₂² - πr₁²) / (πr₁²) = (r₂² - r₁²) / r₁²

We can also express the ratio of the increased carrying capacity to the initial carrying capacity:

(C2 - C1) / C1 = (60 - 36) / 36 = 24 / 36 = 2 / 3

Since the area and the carrying capacity are directly proportional, the ratios should be equal:

(r₂² - r₁²) / r₁² = 2 / 3

Now, let's substitute r = D/2 in the equation:

((D₂/2)² - (D₁/2)²) / (D₁/2)² = 2 / 3

(D₂² - D₁²) / D₁² = 2 / 3

Cross-multiplying:

3(D₂² - D₁²) = 2D₁²

3D₂² - 3D₁² = 2D₁²

3D₂² = 5D₁²

Dividing by D₁²:

3(D₂² / D₁²) = 5

(D₂² / D₁²) = 5 / 3

Taking the square root of both sides:

D₂ / D₁ = √(5/3)

To find the percentage increase in diameter, we subtract 1 from the ratio and express it as a percentage:

Percentage increase = (D₂ / D₁ - 1) × 100

Percentage increase = (√(5/3) - 1) × 100

Percentage increase = 28.87%

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Data visualization is important because option (a) 90% of the information transmitted to the brain is visual.

Data visualization is important because the human brain is wired to process visual information more efficiently than text or numbers. Research shows that about 90% of the information transmitted to the brain is visual, and we can process visual information much faster than text.

Therefore, data visualization is an effective way to represent complex data in a way that is easy to understand and analyze. It allows us to identify patterns, trends, and outliers that might be difficult to detect in raw data.

Therefore, the correct option is (a) 90% of the information transmitted to the brain is visual.

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The given question is incomplete, the complete question is:

Data visualization is important because: a) 90% of the information transmitted to the brain is visual b) None of these are correct c) People can synthesize data better than visual representation d) Everybody likes chart and graphs

Let's analyze the scenario of flipping a coin with a probability 'p' of coming up heads successively until two of the most recent three flips are heads.

If the first two flips are heads, then 'n' would be equal to 2. This is because we have already achieved the condition of two heads in the most recent three flips.

Now, let's consider the case where the first two flips are not heads. In this situation, we need to continue flipping the coin until we get two heads in the most recent three flips. This means that the previous two flips could be either heads or tails.

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a coin having probability p of coming up heads is successively flipped until two of the most recent three flips are heads. let n denote the number of flips. Then N = ?.

Answer:

y = -30

Option A

Step-by-step explanation:

y = -2x - 10

y = -5x + 20

We just need to substitute the values of y.

We have to equate both the equation.

-2x -10 = -5x + 20

-2x + 5x = 20 + 10

3x = 30

x = 10

Plug x as 10 in any one of the equation

Let's take the first equation

y = -2x  - 10

y = -2(10) - 10

y = -20 -10

y = -30

Answer:

1523905

Step-by-step explanation:

Given the function

P(t) = P0 * 2^t/d

P0 = 15000 ; d = 3.; t = 20

P(20) = 15000 * 2^20/3

P(20) = 15000 * 2^6.66666

P(20) = 15000 * 101.59366

P(20) = 1523905.0

P(20) = 1523905

This sequence is a geometric sequence, and hence

The variable "middle" in a binary search algorithm represents the index or position of the element that is being compared in each iteration of the search process.

In a binary search, the algorithm repeatedly divides the search space in half by comparing the middle element with the target value. The "middle" variable keeps track of the index or position of the element that is considered as the midpoint of the current search range.

During each iteration, the algorithm compares the target value with the element at the middle position. If the target value is equal to the middle element, the search is successful, and the algorithm returns the index of the middle element. If the target value is less than the middle element, the search continues on the left half of the search range, excluding the middle element. If the target value is greater than the middle element, the search continues on the right half of the search range, again excluding the middle element.

The "middle" variable is crucial in the binary search algorithm as it helps determine the boundaries of the search range for each iteration. By updating the middle position based on the comparison results, the algorithm efficiently reduces the search space in each step, resulting in a significant improvement in the search time compared to linear search algorithms.

Thus, the "middle" variable in a binary search algorithm represents the index or position of the element that serves as the midpoint of the current search range, allowing for efficient and systematic exploration of the search space.

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False. You only flip when the number you are multiplying/dividing is negative.

Answer:

b

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

The value of the digit 3 in 3808000 is 3 million.

What are population digits?

A population is a distinct group of individuals, animals, or objects that can be distinguished from one another for the purposes of data collection and analysis in statistics and other branches of mathematics. Data is typically collected from a sample in order to learn more about a large population.

Here, we have

The population of the town is 3808000.

We have to find the value of the digit 3 in 3808000.

We concluded from the given statement is the value of the digit 3 in 3808000 is 3 million.

Hence, the value of the digit 3 in 3808000 is 3 million.

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There is a 50% chance that the person selected is female.

Let's assume that there are 50 students in the class and of them, 25 are female and 25 are male.

The probability that the person selected is female will be calculated by the formula P(Female) = 25/50 = 0.5

Therefore, the probability that the person selected is female is 0.5 or 50%. This means that if a person is randomly selected from the front, middle portion of the class, there is a 50% chance that the person selected is female.

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Complete question:

What is the gender ratio of the people in the class?

Reliable sources are what make your research paper solid and strong.

Reliable sources are crucial in ensuring that your research paper is solid and strong. It is important to conduct thorough research and choose only the most credible sources to support your arguments and ideas. By utilizing high-quality sources, you can add depth and validity to your work, ultimately leading to a more impactful and successful paper.
A reliable source is America's Sunday morning talk show on CNN from 1992 to 2022, focusing on analysis and commentary on American media. It airs at CNN's WarnerMedia Studios in New York City from 11:00 AM to 12:00 PM ET. He also broadcasts internationally on CNN International.

This program was originally designed to analyze media coverage of the Persian Gulf War, but has since focused on media coverage of the Valerie Prime incident, the Iraq war, Mark Felt's trip as the Deep Throat, and many other things and internal information. On August 18, 2022, CNN canceled the show and host Brian Settler announced he was leaving the network. The final episode will air on August 21, 2022.

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We need to know about z-score to solve the problem. The z-score of the soda is 0.6

A z-score tells you how many standard deviations away an individual data falls from the mean. We can calculate z-score from the standard deviation and mean of the data. In this question we know that the cost of a soda is $1.15 and the mean is $1.00 and the standard deviation is $0.25.We need to calculate the z-score of the soda with the given information.

z-score=x-μ/σ=1.15-1.00/0.25=0.15/0.25=0.6

Therefore the z-score of the soda is 0.6

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The quadratic equation with zeros at -6 and 2 is y² + 4y - 12 = 0. This is in standard form, which is ax² + bx + c = 0, with a = 1, b = 4, and c = -12.

To find the quadratic equation with zeros at -6 and 2, we can start by using the fact that if a quadratic equation has roots x₁ and x₂, then it can be written in the form

(y - x₁)(y - x₂) = 0

where y is the variable in the quadratic equation.

Substituting the given values of the zeros, we get

(y - (-6))(y - 2) = 0

Simplifying this expression, we get

(y + 6)(y - 2) = 0

Expanding this expression, we get

y² - 2y + 6y - 12 = 0

Simplifying this expression further, we get

y² + 4y - 12 = 0

So the quadratic equation with zeros at -6 and 2 is

y² + 4y - 12 = 0

This is the standard form of a quadratic equation, which is

ax² + bx + c = 0

where a, b, and c are constants. In this case, a = 1, b = 4, and c = -12.

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The length of the shortest straight  is approximately 28.01 ft.

What is the right triangle?

A right triangle is" a type of triangle that has one angle measuring 90 degrees (a right angle). The other two angles in a right triangle are acute angles, meaning they are less than 90 degrees".

To find the length of the shortest straight beam,we can use the Pythagorean theorem.

Let's denote the length of the beam as L and  a right triangle formed by the beam, the wall, and the ground. The wall is 28 ft tall, and the distance from the wall to the building is 1 ft.

Using the Pythagorean theorem,

\(L^2 = (28 ft)^2 + (1 ft)^2\)

Simplifying the equation:

\(L^2 = 784 ft^2 + 1 ft^2\\ L^2 = 785 ft^2\)

\(L = \sqrt{785}ft\)

Calculating the value of L:

L ≈ 28.01 ft

Therefore, the length of the shortest straight beam  is approximately 28.01 ft.

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Answer:

The minimum amount of material in m^2 that will be needed to cover the whole arc will be 3.43 m^2

Step-by-step explanation:

This arc can be divide into two shape; a semi circle with a diameter of 1.9 m, and a rectangle with a width 1.9 m and a height of 1.4 m

For the semicircle, the area = \(\frac{\pi d^{2} }{4}\) ÷ 2

where d is the diameter

==> \(\frac{3.142 * 1.4^{2} }{4}\) ÷ 2

==> 1.539 ÷ 2 = 0.7695 m^2

For the rectangle, area = width x height

==> 1.4 x 1.9 = 2.66 m^2

Total area = 0.7695 + 2.66 = 3.43 m^2

This is the minimum amount of material that will be needed to cover the whole arc.

Answer:

Our calculator limits your interest deduction to the interest payment that would be paid on a $1,000,000 mortgage. Interest rate: Annual interest rate for this

Step-by-step explanation:

Answer:

Step-by-step explanation:

8x - 6x + 12  = 3x - 18

2x + 12 = 3x - 18

-x + 12 = -18

-x = -30

x = 30

Answer:

x = 30

Step-by-step explanation:

Step 1: Write equation

8x - 3(2x - 4) = 3(x - 6)

Step 2: Solve for x

Distribute: 8x - 6x + 12 = 3x - 18

Combine like terms: 2x + 12 = 3x - 18

Subtract 2x on both sides: 12 = x - 18

Add 18 on both sides: 30 = x

The percentage of people who took less than 30 seconds to complete

the task 84.4%.

The diagram shows us how many people finished the task in what time.

40 people finished in 5-10 seconds.

40 people finished in 10-15 seconds.

30 people finished in 15-20 seconds.

30 people finished in 20-25 seconds.

25 people finished in 25-30 seconds.

25 people finished in 30-35 seconds.

25 people finished in 35-40 seconds.

25 people finished in 40-45 seconds.

15 people finished in 45-50 seconds.

That is what the diagram is telling us, and what "frequency" means in this case.

Therefore,

In total, 255 people participated.

only the last 2 groups took longer than 40 seconds.

Therefore,

The estimate of how many took less than 40 seconds is

255 - 25 - 15 = 215 people.

215 people are how many % of 255 :

100% = 255

1%  = 100%/100

     = 255/100

     = 2.55

215 is a many % as how often 1% fits into these 215 :

215 / 2.55 = 84.31372549%

                 ≈ 84.4%

Complete Question:

Times taken to complete a task. Here is a histogram showing the times taken to complete a task.

40- Estimate the percentage of 35 people who took less than 40 seconds to complete the task.

Give your answer to 1 decimal place.

Frequency Density : 1 5 0 5

Time (Density) :

10 15 20 25 30 35 40 45 50

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The likelihood of randomly selecting a terrier from the shelter is (g) unlikely

From the question, we have the following parameters that can be used in our computation:

P(terriers) = 15%

When a probability is at 15% or less than 50%, it means that

The probability is unlikely or less likely

Hence, the true statement is (b) unlikely

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Answer:

1.  Plot the points on the graph and join them to create the pool (see attachment).

With the points, the first number is the x-value and the second number is the y-value.  For example, for point A(1, 2) this would be x = 1 and y = 2.  The x-axis is the horizontal axis and the y-axis is the vertical axis.  Where the two axis cross, this point is (0, 0) or the origin.

Quadrant 1 is the upper right quadrant where x>0 and y>0

2. Reflect over the y-axis.  All the x-coordinates of the points will become negative and the y-coordinates of the points will stay the same.

A'(-1, 2)  

B'(-2, 6)  

C'(-7, 8)  

D'(-9, 3)

3. Rotated 90 degrees clockwise about (0, 0)

Swap the x and y coordinates and make the y coordinate negative:

A''(2, -1)

B''(6, -2)

C''(8, -7)

D''(3, -9)

4. Reflect the image in quadrant 4 across the y-axis.  The shape drawn in question 3 is in quadrant 4.  So this needs to be reflected across the y-axis.  Same coordinates as those in question 3, but the x-coordinate needs to be negative.

A'''(-2, -1)

B'''(-6, -2)

C'''(-8, -7)

D'''(-3, -9)

The mean absolute deviation of the given data set is 1.6 (rounded to the nearest tenth).

We have,

In statistics, the mean (also known as the arithmetic mean or average) is a measure of central tendency that represents the sum of a set of numbers divided by the total number of numbers in the set.

To find the mean absolute deviation (MAD), we need to first calculate the mean of the given data set:

mean = (4 + 5 + 7 + 9 + 8) / 5 = 6.6

Next, we calculate the deviation of each data point from the mean:

|4 - 6.6| = 2.6

|5 - 6.6| = 1.6

|7 - 6.6| = 0.4

|9 - 6.6| = 2.4

|8 - 6.6| = 1.4

Then we find the average of these deviations, which gives us the mean absolute deviation:

MAD = (2.6 + 1.6 + 0.4 + 2.4 + 1.4) / 5 = 1.6

Therefore, the mean absolute deviation of the given data set is 1.6 (rounded to the nearest tenth).

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Answer:

5) B. -6

6) A. 2/3

Step-by-step explanation:

take two points (3, 2) and (12, 8) and use the equation y2- y1 / x2 - x1 to find the slope

(8-2) / (12-3)

6/9 simplified to 2/3

Answer:

The value of ∠A is 62° ⇒ c

The value of ∠B is 54°⇒ d

Step-by-step explanation:

In a triangle, the measure of an exterior angle at a vertex of the triangle equals the sum of the measures of the two opposite interior angles to this vertex.

In Δ ABC

∵ The measure of the exterior angle at the vertex C = 116°

∵ The opposite interior angles to vertex C are ∠A and ∠B

∵ m∠A = (3x - 13)°

∵ m∠B = (2x + 4)°

→ By using the rule above

∴ (3x - 13) + (2x + 4) = 116

→ Add the like terms in the left side

∵ (3x + 2x) + (-13 + 4) = 116

∴ 5x + -9 = 116

∴ 5x - 9 = 116

→ Add 9 to both sides

∵ 5x - 9 + 9 = 116 + 9

∴ 5x = 125

→ Divide both sides by 5

∴ x = 25

→ To find the measures of angle A and B substitute x in their

   measures by 25

∵ m∠A = 3(25) - 13 = 75 - 13

∴ m∠A = 62°

∴ The value of ∠A is 62°

∵ m∠B = 2(25) + 4 = 50 + 4

∴ m∠B = 54°

∴ The value of ∠B is 54°

(a) The probability of ending up with two hits is approximately 0.1406.

(b) The probability of ending up with no hits is approximately 0.4219.

(c) The probability of ending up with exactly three hits is approximately 0.0156.

(d) The probability of ending up with at most one hit is approximately 0.8438.

To solve the given problem, we need to use the concept of binomial probability since each at-bat is independent and has the same probability of a hit. We'll use the batting average of 0.250 to calculate the probabilities.

The probability of a hit is given by the batting average, which is 0.250.

(a) To find the probability that she ends up with two hits:

Using the binomial probability formula, the probability of getting exactly two hits in three at-bats can be calculated as follows:

P(X = 2) = (3 choose 2) * \((0.250)^2 * (1 - 0.250)^(^3^ -^ 2^)\)

Calculating the values:

P(X = 2) = (3 choose 2) * \((0.250)^2 * (0.750)^1\)

P(X = 2) = 3 * 0.0625 * 0.750

P(X = 2) ≈ 0.1406

Therefore, the probability that she ends up with two hits is approximately 0.1406.

(b) To find the probability that she ends up with no hits:

Using the same binomial probability formula, the probability of getting no hits in three at-bats can be calculated as follows:

P(X = 0) = (3 choose 0) *\((0.250)^0 * (1 - 0.250)^(^3^ -^ 0^)\)

Calculating the values:

P(X = 0) = (3 choose 0) *\((0.250)^0 * (0.750)^3\)

P(X = 0) = 1 * 1 * 0.4219

P(X = 0) ≈ 0.4219

Therefore, the probability that she ends up with no hits is approximately 0.4219.

(c) To find the probability that she ends up with exactly three hits:

Using the same binomial probability formula, the probability of getting three hits in three at-bats can be calculated as follows:

P(X = 3) = (3 choose 3) \(* (0.250)^3 * (1 - 0.250)^(^3^ -^ 3^)\)

Calculating the values:

P(X = 3) = (3 choose 3) *\((0.250)^3 * (0.750)^0\)

P(X = 3) = 1 * 0.0156 * 1

P(X = 3) ≈ 0.0156

Therefore, the probability that she ends up with exactly three hits is approximately 0.0156.

(d) To find the probability that she ends up with at most one hit:

We can find this probability by calculating the sum of the probabilities of getting 0 hits and 1 hit.

P(X ≤ 1) = P(X = 0) + P(X = 1)

Substituting the calculated values:

P(X ≤ 1) ≈ 0.4219 + P(X = 1)

To calculate P(X = 1), we can use the binomial probability formula as before:

P(X = 1) = (3 choose 1) * \((0.250)^1 * (0.750)^(^3^-^1^)\)

Calculating the values:

P(X = 1) = (3 choose 1) * \((0.250)^1 * (0.750)^2\)

P(X = 1) = 3 * 0.250 * 0.5625

P(X = 1) ≈ 0.4219

Substituting back into the equation:

P(X ≤ 1)

≈ 0.4219 + 0.4219

P(X ≤ 1) ≈ 0.8438

Therefore, the probability that she ends up with at most one hit is approximately 0.8438.

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A population into meaningful groups if , the population contains both very high and very low recorded amounts. So, option (B) is right answer.

Statistical sampling is a sampling approach that involves the random selection of sample items and the use of probability theory to assess sample outcomes, including measures of sample risk. Other approaches are called "non-statistical". The requirement here is to identify the circumstances under which raters are most likely to classify the population into meaningful groups. Answer (b) is correct., this is because stratified sampling can be used to minimize the impact of population-wide variation on sample size and maximize sparing populations with high variability. Option (a) is incorrect because PPS sampling can essentially stratify the population, but the selected items are not included in the "significant group" except those larger than the sampling interval. Option (c) is incorrect, because permissible misrepresentation itself does not lead to stratification. Option (d) is incorrect,

stratification is mainly used when the standard deviation is relatively large and the standard deviation is relatively small.

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Complete question:

In statistical or nonstatistical sampling methods used in substantive testing, an auditor most likely would stratify a population into meaningful groups if

A. Monetary-unit sampling (MUS) is used.

B. The population contains both very high and very low recorded amounts.

C. The auditor's estimated tolerable misstatement is extremely small.

D. The standard deviation of recorded amounts is relatively small.

Answer:

3.51%

Step-by-step explanation:

Percentage error

\(= \frac{17.1 - 16.5}{17.1} \times 100 \\ \\ = \frac{0.6 \times 100}{17.1} \\ \\ = \frac{600}{171} \\ \\ = 3.50877193 \\ \\ = 3.51\%\)