Convert Fraction to Decimal 19/40​

The number of minutes to complete 1 lap is found as 5 minutes.

Multiplication is the reciprocal of division. If 3 groups of 4 add up to 12, then 12 divided into three categories of equal size results in 4 in each group.

The stated question:

10 minutes for 2 laps

Applying unitary method:

= 10/2

= 5

Thus, number of minutes to complete 1 lap is found as 5 minutes.

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The complete question -

10 minutes for 2 laps. Then, find number of minutes for 1 lap.

Answer:

A.15.21

Step-by-step explanation:

In rounding of numbers when the next number is greater than 5 u round it on next number by adding one

To calculate the number of boxes needed to tile the hall, you need to determine the area of the hall and the area that one box of tiles covers. Then, divide the total area of the hall by the area of one box of tiles.

The number of boxes needed to tile a space depends on the size of the space and the size of the tiles being used. To get an accurate estimate, it's important to calculate the area of the space and the area that one box of tiles covers.

Let's say the hall is a rectangle that measures 10 feet by 12 feet. To find the area of the hall, multiply the length by the width: 10 x 12 = 120 square feet.
Next, you need to determine the area that one box of tiles covers. Let's say the tiles are 1 foot by 1 foot. To find the area of one tile, multiply the length by the width: 1 x 1 = 1 square foot.
If each box contains 10 tiles, then the area that one box of tiles covers is 10 square feet (10 tiles x 1 square foot per tile = 10 square feet).
To calculate the number of boxes needed to tile the hall, divide the total area of the hall by the area of one box of tiles: 120 square feet ÷ 10 square feet per box = 12 boxes.
Therefore, you would need 12 boxes of tiles to cover the entire hall.

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There are approximately 3.64 x 10¹⁸ liters of water available for human and plant use in the entire world. We can calculate it in the following manner.

To find how many liters of water are available for human and plant use, we need to multiply the total amount of water in the world (1.4 x 10²¹ liters) by the percentage available for human and plant use (0.26% or 0.0026).

The calculation is:

1.4 x 10²¹ liters x 0.0026 = 3.64 x 10¹⁸ liters

Therefore, there are approximately 3.64 x 10¹⁸ liters of water available for human and plant use in the entire world.

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The data structures are true:  Option (1,3)

Data structures are ways of organizing and storing data in a computer so that it can be accessed and manipulated efficiently. There are several types of data structures, including arrays, linked lists, stacks, queues, trees, and graphs. Each structure has its own unique features and advantages, making it suitable for different scenarios.

For example, arrays are used for storing and accessing data in a linear fashion, while trees and graphs are used for representing hierarchical relationships between data. Data structures are a fundamental concept in computer science and are used in many applications, including databases, compilers, and operating systems. Understanding and implementing data structures is essential for efficient programming and software development

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Full Question: Which of the following statements about the data structures are true? Select ALL CORRECT answers.

Answer:

Step-by-step explanation:

equation for inverse variation, meaning x is inversely related to y.

\(y=\frac{k}{x}\)

Where

> k is your constant

>x is your independent variable because you always pick x,'s

>y is your dependent because you pick x and results in a y, therefore it is dependent on x

Evaluating answers:

>not A, nothing is being squared in the equation so not this answer

>Yes B (I think), because k= xy if you bring it over to the other side.

>Yes C (I think),  It is a ratio(fraction) of x

>not D, I don't think it can be ratio of both variables

Martha's claim that the 25% of the learners are girls, is correct.

In this question,

There are 900 boys and 300 girls at Eqinisweni secondary school.

Martha claims that 25% of the learners are girls.

We need to verify her claim by means of calculations.

Based on the given conditions, we formulate:

300 / (900 + 300)

We simplify above expression.

= 300 / 1200

= 1/4               ..................(Cross out the common factor)

Now multiply a number 25 to both the numerator and the denominator:

= (1 × 25)/(4 × 25)

= 25/200

Now we rewrite a fraction with denominator equals 100 to a percentage: 25%

This means, Martha's claim that the 25% of the learners are girls, is correct.

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Data:

Tax: T

Price tag: P

Total cost: x

Gift card: G

T=6.25/100

P=$56.00

The total cost will be:

x will be equal to the cost of the coat plus the tax (6.25 of the ccost of the coat) less the gift card.

The significance level determines the threshold for rejecting the null hypothesis, and it can be set to any desired value, commonly 0.05 or 0.01.

When comparing two population proportions, if the population proportions are not equal, one would expect a sample difference proportion greater than the one observed in about 1 out of 100 repetitions of the experiment when the null hypothesis is true. This scenario assumes that the observed sample difference proportion is due to random sampling variability and not a true difference between the populations.

To conduct such a hypothesis test, you would typically use methods such as the z-test or chi-square test for proportions. The test would involve calculating a test statistic based on the sample data and comparing it to a critical value or using it to calculate a p-value. If the test statistic is beyond the critical value or if the p-value is less than the chosen significance level (e.g., α = 0.05), you would reject the null hypothesis in favor of the alternative hypothesis, concluding that there is evidence of a significant difference between the population proportions.

It's important to note that the specific values mentioned in your statement, such as "1 out of 100 repetitions," are not fixed rules and can vary depending on the chosen significance level, the specific hypothesis test used, and the assumptions made in the analysis. The significance level determines the threshold for rejecting the null hypothesis, and it can be set to any desired value, commonly 0.05 or 0.01.

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If the population proportions are not equal, one would expect a sample difference proportion greater than the one observed in about 1 out of 100 repetitions of this experiment. What determines the significance level?

The area to the right of z = -1 for the standard normal distribution is approximately 0.8413.

a. To find the area to the right of z = -1 for the standard normal distribution, we need to calculate the cumulative probability using the standard normal distribution table or a statistical calculator.

From the standard normal distribution table, the area to the left of z = -1 is 0.1587. Since we want the area to the right of z = -1, we subtract the left area from 1:

Area to the right of z = -1 = 1 - 0.1587 = 0.8413

Therefore, the area to the right of z = -1 for the standard normal distribution is approximately 0.8413.

b. To answer this question, we would need additional information about the mean and standard deviation of the annual salaries for first-year college graduates. Without this information, we cannot calculate specific probabilities or make any statistical inferences.

If we are provided with the mean (μ) and standard deviation (σ) of the annual salaries for first-year college graduates, we could use the properties of the normal distribution to calculate probabilities or make statistical conclusions. Please provide the necessary information, and I would be happy to assist you further.

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A scientist can use bootstrap analysis to estimate the strength of evidence that a particular node in a phylogeny exists.

Bootstrap analysis is a statistical method used to determine the reliability and robustness of phylogenetic trees' topologies. In bootstrap analysis, a series of random resampling with replacement is used to assess how well the observed data fit the phylogenetic hypothesis.

Bootstrap values range from 0 to 100 and reflect the proportion of times that a particular node or branch occurs in the bootstrap replicate trees. Bootstrap values greater than 70% are usually considered strong evidence that a particular node or branch exists in the phylogenetic tree.

Bootstrap analysis is an important tool for understanding the reliability of phylogenetic trees and the evolutionary relationships among organisms.

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Answer: XY= 20

Step-by-step explanation:

i took the test and got it correct

30 - 10 = 20

The statements that accurately compare the domain and range of the functions are: The domain of all three functions is all real numbers, The range of f(x) and h(x) is all real numbers, but the range of g(x) is all real numbers except 0.

The domain of a function refers to all the possible input values that make the function defined. For the quadratic function f(x) = 3x², there are no values of x that make the function undefined, so the domain of f(x) is all real numbers. To find the range of f(x), we can calculate the vertex of the parabola, which is (0,0). The range of f(x) is all real numbers greater than or equal to zero.

For the quadratic function f(x) = 3x², we can determine the vertex using the formula:

h = -b/2a

In this case, a = 3 and b = 0, so:

h = -0/2(3) = 0/6 = 0

The x-coordinate of the vertex is 0.

To find the y-coordinate, we evaluate the function at the vertex:

f(0) = 3(0)² = 0

So the vertex of the parabola is (0,0).

Since the coefficient of x² is positive, the parabola opens upwards, and the minimum value of the function occurs at the vertex. Therefore, the range of f(x) is all real numbers greater than or equal to zero.

For the rational function g(x) = 1/3x, the function is undefined when the denominator is equal to zero. Thus, we solve for the value(s) of x that make the denominator zero:

3x = 0

Dividing both sides by 3, we get:

x = 0

Therefore, the domain of g(x) is all real numbers except zero. The range of g(x) is all real numbers except zero, since the function cannot equal zero.

For the linear function h(x) = 3x, there are no values of x that make the function undefined. Thus, the domain of h(x) is all real numbers. The range of h(x) is also all real numbers, since the function is a straight line that passes through the origin and extend infinitely in both directions.

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The type of set that allows you to position rollers diagonally and set from multiple points of origin is an oblong set.

An oblong set is a type of parallel set consisting of two parallel rectangular bars or blocks, with rollers positioned diagonally between them. The oblong shape of the set allows for the rollers to be positioned at a diagonal angle, which can be useful when setting up workpieces that need to be adjusted at an angle or from multiple points of origin.

In contrast, a half oval set and a half circle set are both types of circular sets that consist of rollers positioned in a semi-circular shape. These types of sets are useful for supporting workpieces that have a curved or circular shape, but they do not provide the flexibility to position rollers at a diagonal angle or from multiple points of origin.

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a) The (9,009, 10,585) range represents the 99% confidence interval for the mean number of steps taken on an average workday for all New York City employees who wear activity trackers. No, we are unable to determine the likelihood of specific values using the confidence interval. Only inferences about the population mean can be drawn from it.

A 99% confidence interval for the mean needs to be calculated.

Since the population standard deviation is unknown, we must infer it from the sample standard deviation in order to get the critical number using a t-students distribution.

Sample Mean(M) = 9,797

Sample Standard Deviation(s) = 2,313.

Sample Size(N) = 61

When σ is unknown, an estimation of σM is made by dividing s by the square root of N:

S = s/√n

S = 2313/√61

S = 2313/7.8102

S = 296.1512

These sample size's degrees of freedom are:

df = n - 1

df = 61 - 1

df = 60

With 61 degrees of freedom and a 99% confidence interval, the t-value is 2.66.

The Margin of Error calculated as:

MOE = t × S

MOE = 2.66 × 296.1512

MOE = 787.7622

The confidence interval's lower and upper bounds are as follows:

Lower Bound = M - MOE

Lower Bound = 9797 - 787.7622

Lower Bound = 9,009.2378

Lower Bound = 9,009(approx)

Upper Bound = M + MOE

Upper Bound = 9797 + 787.7622

Upper Bound = 10,584.7622

Upper Bound = 10,585(approx)

We have a 95% confidence interval between 9,009 and 10,585 steps as the mean number of steps taken on a normal workday for all New York City employees using activity trackers.

b) The value of 8,500 steps is outside the confidence interval, which indicates that it is a high figure for the average number of steps taken by all New Yorkers using activity trackers.

The confidence interval cannot be used to calculate the likelihood of specific values.

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The complete question is:

Activity trackers are electronic devices that people wear to record physical activity. Researchers wanted to estimate the mean number of steps taken on a typical workday for people working in New York City who wear such trackers. A random sample of 61 people working in New York City who wear an activity tracker was selected. The number of steps taken on a typical workday for each person in the sample was recorded. The mean was 9,797 steps and the standard deviation was 2,313 steps.

a. Construct and interpret a 99 percent confidence interval for the mean number of steps taken on a typical workday for all people working in New York City who wear an activity tracker.

b. A wellness director at a company in New York City wants to investigate whether it is unusual for one person working in the city who wears an activity tracker to record approximately 8,500 steps on a typical workday. Is it appropriate to use the confidence interval found in part (a) to conduct the investigation.

The sequence of natural numbers that leaves a remainder of 3 when divided by 10 is:

3, 13, 23, 33, 43, 53, 63, 73, 83, 93, 103, 113, ...

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

Answer:

Volume 1758.88 litres

Step-by-step explanation:

\(P = 2500. \ r = 4.3\% = \frac{4.3}{100} = 0.043, t = 8\\\\Volume = P(1 - r)^t\\\\\)

            \(= 2500(1-0.043)^8\\\\= 2500 \times 0.70355\\\\= 1758.88 \ litres\)

Rοunding tο the nearest hundredth the answer is D. 2.38 secοnds.

A parabοlic functiοn is a functiοn that can be represented by a quadratic equatiοn οf the fοrm \(f(x) = ax^2 + bx + c\), where a, b, and c are cοnstants and a is nοt equal tο 0.

We can determine the maximum height by finding the vertex οf the parabοlic functiοn \(h(t) = -16t^2 + 76t\).

The t-value οf the vertex is given by -b/2a, where a=-16 and

\(b=76:t = -b/2a = -76/(2*(-16)) = 2.375\)

Sο the maximum height οccurs after 2.375 secοnds.

Hence, Rοunding tο the nearest hundredth the answer is D. 2.38 secοnds.

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The system of linear equations that represents the situation is: 5x - 8y = 775 and x + y = 125.

The given situation involves Monica's school band organizing a car wash to raise money for a trip to a parade in New York City. They washed a total of 125 cars and made $775 from a combination of $5.00 quick washes and $8.00 premium washes.

To represent this situation using a system of linear equations, we need to assign variables to the number of quick washes (x) and the number of premium washes (y).

First, we can express the total amount earned from the car washes. Since each quick wash earns $5.00 and each premium wash earns $8.00, the equation becomes:

5x + 8y = 775.

Next, we consider the total number of cars washed. Since the band washed a total of 125 cars, we can write the equation as:

x + y = 125.

Therefore, the system of linear equations that represents the situation is:

5x - 8y = 775

x + y = 125.

By solving this system of equations, we can find the values of x and y, which will provide the number of quick washes and premium washes respectively.

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Finding percentages is an important skill that can be useful in many areas of life, from calculating discounts on shopping to understanding financial reports.

To find a percentage, you need to first convert the percentage to a decimal by dividing it by 100. For example, 22% becomes 0.22. Next, multiply this decimal by the number you are calculating the percentage of, which in this case is 40. So, 0.22 x 40 = 8.8. Therefore, 22% of 40 is 8.8. It's worth noting that percentages can also be found by using proportions, where the percentage is the part over the whole, multiplied by 100. But using the above method is more straightforward and quicker.

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Answer:

$0.99 in change

Explanation:

To apply the sales tax, you have to multiply:

8.50*1.06=9.01

This means that, with tax, the book will cost $9.01. If he gave them $10, he would get 99 cents back because 10-9.01 is 0.99.

The value of x is 6.8 meters.Let's consider the situation described. The fox descends the cliff and travels straight to point A on the ground, covering a horizontal distance of 10 meters.

The eagle, on the other hand, starts from the top of the cliff and flies up to height x meters before going in a straight line to point A. Since the distance traveled by both the fox and the eagle is the same, we can set up an equation to solve for x.

Using the Pythagorean theorem, we can establish the following relationship:

(10 - x)^2 + 6^2 = x^2

Expanding and simplifying the equation:

100 - 20x + x^2 + 36 = x^2

-20x + 136 = 0

20x = 136

x = 136 / 20

x = 6.8

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The man's BMI is approximately 22.09 based on his weight of 154 pounds and height of 70 inches.

To calculate the Body Mass Index (BMI) of a person, we use the following formula:

BMI = weight (in kilograms) / height^2 (in meters)

First, we need to convert the weight from pounds to kilograms. Since 1 pound is approximately 0.4536 kilograms, the man's weight of 154 pounds is equal to 69.85 kilograms (rounded to two decimal places).

Next, we need to convert the height from inches to meters. Since 1 inch is equal to 0.0254 meters, the man's height of 70 inches is equal to 1.778 meters (rounded to three decimal places).

Now, we can calculate the BMI using the formula:

BMI = 69.85 kg / (1.778 m)^2

Calculating this expression, we find that the man's BMI is approximately 22.09 (rounded to two decimal places).

In summary, the man's BMI is approximately 22.09 based on his weight of 154 pounds and height of 70 inches.

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Answer:

#4: 2n - 6         # 3: 2x + 9 = 17

Step-by-step explanation:

Answer:

275

Step-by-step explanation:

If you take 220 is 80% of 225, so the answer is 275

Answer:

B

Step-by-step explanation:

The step in solving the equation |5 − 3x| + 2 = 19 is  5 − 3x = -17 after removing mod option (B) is correct.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

The equation is:

|5 − 3x| + 2 = 19

|5 − 3x| = 19 - 2

|5 − 3x| = 17

Removing mod:

5 − 3x = -17

Thus, the step in solving the equation |5 − 3x| + 2 = 19 is  5 − 3x = -17 after removing mod option (B) is correct.

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You can predict the size of the standard error of M for a sample size of 100 relative to a sample size of 25 because of the sampling distribution.

Suppose you compile all possibilities samples of 100 children of elementary school age in your school district; the expected value of M (when n = 100) will be equal to the expected value of M for all of the possible samples of 25 children of elementary school age in your school district.

1. All possible samples of 100 children of elementary school age in your school district; the expected value of M (when n = 100) is 11.03 the expected population mean:

E(μ) = 11.03

2. The standard error of M for this distribution of samples when n = 100 will be equal to 1.964

σ/√n = 19.64/ √100 = 1.964

3. The standard error of M for all the possible samples of 100 is twice (2 times) the standard error of M for all of the possible samples of 25.

σ/√n= 19.64/√25 = 3.928 = 2( σ/√n = 19.64/√100=1.964)

4. As both the sample has a same population with different sample size, therefore we can predict the standard error on the basis of sample observation. large sample size lower stanadrd error and vice versa.

If you were interested in how much time children spend reading on weekdays among this population of 2, 431 children, would you actually compile all possible samples of a certain size, Option: No

5. If we are traying to know the reading habit of 2431 children, we do not actually compile all possible sample rather we use some specific sample on the basis of sampling distribution.

You can predict the size of the standard error of M for a sample size of 100 relative to a sample size of 25 because of the sampling distribution.

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Q: Suppose you compile all possible samples of 100 children of preschool age in your school district; the expected value of M (when n = 100) will be equal to the expected value of M for all of the possible samples of 25 children of preschool age in your school district. The standard error of M for this distribution of samples when n = 100 will be equal to The standard error of M for all the possible samples of 100 is the standard error of M for all of the possible samples of 25. You can predict the size of the standard error of M for a sample size of 100 relative to a sample size of 25 because of the If you were interested in how much time children spend with siblings on weekends among this population of 2,431 children, would you actually compile all possible samples of a certain size? ОО Yes No

Answer:

200 minutes I am getting poi tea yayyyy

Answer:

$209.50

Step-by-step explanation:

First, find how much she made selling the popcorn:

263(1.5)

= 394.50

Then, find how much she spent on supplies and the machine:

110 + 75

= 185

Subtract the expenses from the profit:

394.50 - 185

= $209.50