Simplify: (9a* - 5a'-1)+7a*

A sample to have a standard deviation of zero means the score has no variability.

When the score has no variability it points towards the standard deviation being zero, This is the case where all the scores in the sample have the exact same value. This means there is no spread in the data set at all. The data set is combined in a single clumped value. Since there is only one value it would be the mean of the data set. The standard deviation measures the spread of a quantitative data set. This number cannot be a non-negative real number.

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Answer:

perimeter=4X60m

she walks 3 rounds so,

(4X60)3

240X3

720 M IS WALKED BY HER

The given information indicates that the average speed on the 405 freeway follows a normal distribution with a mean of 50 mph and a standard deviation of 12 mph. To find the probability that someone is driving slower than 35 mph, we need to calculate the deviation from the mean using the z-score formula:

z = (x - μ) / σ

where x is the value we are interested in (35 mph), μ is the mean (50 mph), and σ is the standard deviation (12 mph).

z = (35 - 50) / 12
z = -1.25

Using a standard normal distribution table or calculator, we can find the probability that a z-score is less than -1.25. The probability is approximately 0.1056 or 10.56%.

Therefore, the probability that someone is driving slower than 35 mph on the 405 freeway is about 10.56%.

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1. The two shapes that make up this figure are rectangular pyramid and rectangular prism.

2. The surface area of shape 1 is 390.3 cm².

3. The surface area of shape 2 is 504 cm².

4. The total surface area of this figure is 894.3 cm².

By critically observing the figure, we can logically deduce that shape 1 represents a rectangular pyramid while shape 2 represent a rectangular prism.

Part 2.

In Mathematics, the surface area of a rectangular pyramid can be calculated by using this mathematical equation:

Total surface area of rectangular pyramid = \(lw+l\sqrt{(\frac{w}{2})^2 +h^2} +w\sqrt{(\frac{l}{2})^2 +h^2}\)

where:

By substituting the given side lengths into the formula for the surface area of a triangular prism, we have the following;

Total surface area of rectangular pyramid = \((12 \times 10)+12\sqrt{(\frac{10}{2})^2 +11^2} +10\sqrt{(\frac{12}{2})^2 +11^2}\)

Total surface area of rectangular pyramid = 390.3 cm².

Part 3.

In Mathematics and Geometry, the surface area of a rectangular prism can be calculated and determined by using this mathematical equation or formula:

Surface area of a rectangular prism = 2(lh + lw + wh)

Surface area of a rectangular prism = 2(12 × 6 + 12 × 10 + 10 × 6)

Surface area of a rectangular prism = 2(72 + 120 + 60)

Surface area of a rectangular prism = 504 cm².

Part 4.

Total surface area of this figure = 390.3 cm² + 504 cm².

Total surface area of this figure = 894.3 cm²

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The population scenario of Dhaka City is characterized by rapid urbanization, high population density, and significant population growth.

1. The population scenario of Dhaka City is characterized by rapid urbanization, high population density, and significant population growth. These factors have led to numerous challenges, including increased traffic congestion, inadequate infrastructure, and strain on public services. The city's population is growing at a rapid pace, resulting in overcrowding, housing shortages, and environmental concerns.

2. To mitigate the present traffic jam situation in Dhaka City, a restructuring of the population can be pursued through various strategies. One approach is to promote decentralization by developing satellite towns or encouraging businesses and industries to establish themselves in other regions. This would help reduce the concentration of population and economic activities in the city center. Additionally, improving public transportation systems, including expanding the metro rail network, introducing dedicated bus lanes, and enhancing cycling and pedestrian infrastructure, can provide viable alternatives to private vehicles. Encouraging telecommuting and flexible work arrangements can also help reduce the number of daily commuters. Moreover, urban planning should focus on creating mixed-use neighborhoods with residential, commercial, and recreational spaces to minimize the need for long-distance travel.

By implementing these measures, the population of Dhaka City can be restructured in a way that reduces the strain on transportation systems, alleviates traffic congestion, and creates a more sustainable and livable urban environment.

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Answer:

Yes.

Step-by-step explanation:

You always do the operations in parenthese first.

"The order of operations is a rule that tells the correct sequence of steps for evaluating a math expression. We can remember the order using PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)." -khanacademy . org > ...> order of operations

Answer:

B. (20 ÷ 4 - 2 + 1)

Solved, the equation equals 29.

Step-by-step explanation:

Order of operations: PEMDAS

Parantheses

Exponents

Multiplication

Division

Addition

Subtraction

9 + 5 × 2(20 ÷ 4 - 2 + 1)

The first step would be to do the operations inside the parantheses.

9 + 5 × 2(20 ÷ 4 - 2 + 1)

So,

(20 ÷ 4 - 2 + 1)

There are several operations, so lets look at PEMDAS again..

Okay, so we dont have any exponents, or multiplication inside the parantheses, so next step is divide.

(20 ÷ 4 - 2 + 1)

20 ÷ 4 = 5

So, we replace '20 ÷ 4' with '5'

(5 - 2 + 1)

Next, we add.

(5 - 2 + 1)

2 + 1 = 3

Now, replace '2 + 1' with '3'

(5 - 3)

Now, we just subtract 3 from 5.

5 - 3 = 2

So now our equation looks like this:

9 + 5 × 2(2)

Now, we have to do the parantheses again. But this time we are going to treat the parantheses as a multiplication symbol:

9 + 5 × 2(2) → 2 × 2 = 4

↓

9 + 5 × 4

Now, we have to multiply.

9 + 5 × 4 → 20

↓

9 + 20 = 29

So, when you solve the equation, you get 29.

Answer:

faluse

Step-by-step explanation:

Answer:

Slope = -1/6

Step-by-step explanation:

Answer:

the correct one is Slope = -1/6

Answer:

1

Step-by-step explanation:

2+0=2 so 2 times 1/2 is 1

Answer:

it is 15 percent decay

Step-by-step explanation:

Answer:

42%

Step-by-step explanation:

The first step is to calculate the difference in the number of fishes from the beginning of the day to the end of the day.

90 -52

= 38 fishes

Therefore the percent decrease can be calculated as follows

= 38/90 × 100

= 0.422 × 100

= 42.2 %

= 42% ( to the nearest cent)

After reducing all the book prices by 50%, the new median price is determined to be $7.70 (B)

To find the new median price after reducing all the book prices by 50%, we first need to calculate the reduced prices. By reducing each given price by 50%, we get $6.375, $7.40, $9.995, $4.975, $8.00, and $8.975 respectively.

Next, we arrange these reduced prices in ascending order: $4.975, $6.375, $7.40, $8.00, $8.975, and $9.995. The median is the middle value in this ordered list. Since there are six prices, the middle two values are $7.40 and $8.00.

To find the median, we take the average of these two values, which gives us ($7.40 + $8.00) / 2 = $7.70.

Therefore, the new median price, after reducing all the book prices by 50%, is $7.70 (B). This means that the median price of the books, after the reduction, is $7.70.

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Answer:

\(\frac{1}{4}\) (t + 9) ≤ 9

Step-by-step explanation:

One-fourth multiplied by sum of t and 9 is at most 9

One-fourth \(\frac{1}{4}\)

sum of t and 9 = t + 9

at most 9 = ≤ 9

In linear equation, $869,776  will her total payment for the home be .

What in mathematics is a linear equation?

An algebraic equation with simply a constant and a first-order (linear) term, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation.

                               Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.

You have to use the number in the intersection of the row for 5.25% interest and the column for 20 years.

The number is $6.74.

That means that, for every $1,000 borrowed for 20 years at 5.25% interest you will pay $6.74 every month.

2. Amount borrowed

You will make a 22% down payment:

Thus the amount borrowed is $426,000 - $93,720 = $332,280

3. Monthly payment

Multiply the monthly payment per 1,000 by the amount borrowed divided by 1,000:

4. Total monthly payments:

Multiply the number of payments by the monthly payment.

Number of payments = 20 years × 12 payments /year = 240 payments.

5. Total payment for the home.

The total payment for the home will be the down payment plus the amount paid to the bank:

$322,280 + $537,496 = $869,776

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The best definition of random variation is: "Common variation inherent in a process occurring by chance."

In mathematics, random variation refers to the inherent variability that arises in the outcome of a random experiment. It is a type of natural variability that cannot be predicted with certainty and is due to chance. For example, if we toss a fair coin multiple times, we can expect to see some variation in the number of heads and tails that appear, even though the coin is fair and each toss is independent of the previous ones. This variation is random and follows a probability distribution that can be modeled mathematically. Understanding random variation is important in statistical inference and modeling, as it allows us to estimate the uncertainty in our results and make informed decisions based on probabilistic reasoning.

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Answer:

10

Step-by-step explanation:

2/3 of 15 is 10

The probability that the sample mean would differ from the population mean by less than 170 miles in a sample of 211 tires is approximately 0.994 or 99.4%.

We can use the central limit theorem to find the probability that the sample mean would differ from the population mean by less than 170 miles in a sample of 211 tires.

According to the central limit theorem, the distribution of sample means will be approximately normal with a mean equal to the population mean and a standard deviation equal to the population standard deviation divided by the square root of the sample size.

Therefore, we can calculate the z-score as follows:

z = (\(\bar{X}\) - μ) / (σ / √n)

where \(\bar{X}\) is the sample mean, μ is the population mean, σ is the population standard deviation, and n is the sample size.

In this case, we want to find the probability that the sample mean would differ from the population mean by less than 170 miles, which means we need to find the probability that the z-score is between -170/ (σ / √n) and 170/ (σ / √n).

Plugging in the given values, we get:

z = (\(\bar{X}\) - μ) / (σ / √n)

z = (170) / (4693 / √211)

z ≈ 8.13

Using a calculator, we can find that the probability of getting a z-score less than 8.13 or greater than -8.13 is approximately 1.0.  Therefore, the probability is approximately 0.994 or 99.4%.

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Yes, that is correct. The notation P(z < a) represents the probability that a standard normal distribution variable Z is less than a particular value "a".

what is probability?

Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 indicates that the event is impossible, and 1 indicates that the event is certain to happen. The probability of an event A is typically denoted as P(A) and is calculated as the number of ways that event A can occur divided by the total number of possible outcomes. Probability is used in a wide range of fields, including mathematics, statistics, physics, finance, and engineering.

what is statistics?

Statistics is a branch of mathematics that involves the collection, analysis, interpretation, presentation, and organization of data. It includes a variety of methods for collecting data, such as surveys, experiments, and observational studies. Statistical methods are used to summarize and analyze the data, and to draw conclusions and make predictions about the population from which the data is sampled. The results of statistical analyses can be used in a variety of fields, including business, social sciences, natural sciences, and engineering.

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Answer:

What is the question?

Step-by-step explanation:

If you tell me what the Homework is then sure!

Generally, the NEC® permits a fuse to carry 80 percent of its rating when it supplies a load that is not operated continuously. The correct option is b.

According to the National Electrical Code (NEC), a fuse is generally permitted to carry up to 80% of its rating when supplying a load that is not operated continuously. This provision is based on safety considerations and is intended to prevent the fuse from tripping prematurely during temporary or intermittent overloads.

Allowing a fuse to carry up to 80% of its rating ensures that it can handle short-term surges in current without blowing. This is important because many electrical devices and appliances draw higher currents when they are first turned on or during certain operations. Allowing the fuse to handle these temporary overloads helps avoid unnecessary interruptions in power supply.

By limiting the fuse to 80% of its rating, the NEC provides a safety margin. This margin accounts for factors such as variations in load characteristics, ambient temperature, and other operating conditions that may affect the actual current flowing through the fuse.

In summary, the NEC permits a fuse to carry up to 80% of its rating for non-continuous loads to accommodate temporary overloads while maintaining safety and reliability in electrical systems. Hence, b is the correct option.

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The smallest number a such that A + BB is regular for all B > a can be determined by finding the eigenvalues of the matrix A. The value of a will be greater than or equal to the largest eigenvalue of A.

A matrix A is regular if it is non-singular, meaning it has a non-zero determinant. We can consider the expression A + BB as a sum of two matrices. To ensure A + BB is regular for all B > a, we need to find the smallest value of a such that A + BB remains non-singular. One way to check for singularity is by examining the eigenvalues of the matrix A. If the eigenvalues of A are all positive, it means that A is positive definite and A + BB will remain non-singular for all B. In this case, the smallest number a can be taken as zero. However, if A has negative eigenvalues, we need to choose a value of a greater than or equal to the absolute value of the largest eigenvalue of A. This ensures that A + BB remains non-singular for all B > a.

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Answer: Let me help ya!

Step-by-step explanation: It's simple, Math is the science of numbers and their operations.

Have a noice day!

Answer:

37.15 pounds left

Step-by-step explanation:

Add the two pound values

1.3+1.75= 3.05

Subtract it from the total number of pounds in the bag

40.2-3.05

=37.15

Answer:12

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

A complete probability model should sum up the probability to 1

by adding them up, you will find the sum as 1/12 + 8/12 + 3/12 = 12/12

So, they can be a complete probability model with 3 outcomes "2", "3" & "4"

There is only a 0.62% chance that the average length will be less than 2.4 inches. Therefore, we can conclude that it is unlikely for the average length of 100 randomly selected fish to be less than 2.4 inches.

Use the central limit theorem, which states that the distribution of sample means will be approximately normal regardless of the distribution of the population, as long as the sample size is large enough.

In this case, we are given that the length of one kind of fish is normally distributed, with a mean of 2.5 inches and a standard deviation of 0.4 inches. We want to find the probability that the average length of 100 randomly selected fish is less than 2.4 inches.

To apply the central limit theorem, we need to calculate the mean and standard deviation of the sampling distribution of the sample mean. The mean of the sampling distribution will be equal to the population mean, which is 2.5 inches. The standard deviation of the sampling distribution can be calculated using the formula:

standard deviation = population standard deviation / square root of sample size

In this case, the population standard deviation is 0.4 inches, and the sample size is 100, so:

standard deviation = 0.4 / sqrt(100) = 0.04 inches

Now that we have the mean and standard deviation of the sampling distribution, we can use the z-score formula to find the probability of obtaining a sample mean of less than 2.4 inches:

z = (sample mean - population mean) / standard deviation

z = (2.4 - 2.5) / 0.04 = -2.5

Using a standard normal distribution table, we can find that the probability of obtaining a z-score of -2.5 or less is approximately 0.0062. This means that the probability of obtaining a sample mean of less than 2.4 inches is approximately 0.0062.

In other words, if we were to randomly select 100 fish from this population and calculate the average length, there is only a 0.62% chance that the average length would be less than 2.4 inches. Therefore, we can conclude that it is unlikely for the average length of 100 randomly selected fish to be less than 2.4 inches.

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Answer:

100 meters

Step-by-step explanation:

4 sides

1 side = 25 m

25m = width as well

so just multiply 25 by 4 to get your answer

Mr John needs to focus on outlining the width and length of the farm. Based on the length and width being the same length, the shape of the farm is a square. To make things simple, multiply the length of one side by four and you will have the exact amount needed to place a fence.

25m x 4 = 100m

So, Mr John needs about 100m of fencing to complete the construction of the fence surrounding his farm.

Answer: 5/3

Step-by-step explanation:

The scale factor is the same as the ratio of the length of a side of the image to the length of the corresponding side in the preimage.

We know that N'Q'=10 and NQ=6, so the scale factor is 10/6 = 5/3.

The magnitude and direction of the acceleration as the ball goes up is a negative value (opposite direction of motion), while the magnitude and direction of the acceleration as the ball goes down is a positive value (same direction as motion).

When the ball goes up, its initial velocity decreases due to the opposing force of gravity. The acceleration experienced by the ball is directed downwards, opposing the ball's upward motion. The magnitude of the acceleration can be determined using the kinematic equation:

[ v^2 = u² + 2as \]

where \( v \) is the final velocity, \( u \) is the initial velocity, \( a \) is the acceleration, and \( s \) is the displacement. Since the ball is moving upward, the final velocity (\( v \)) will be zero at the highest point. Therefore, we can rewrite the equation as:

[ 0 = u² - 2as \]

Solving for acceleration (\( a \)), we get:

[ a = \frac{{u²}}{{2s}} \]

Substituting the given values (initial position = 6.3 m, initial velocity = 1.0 m/s), we can calculate the magnitude of the acceleration.

[ a = \frac{{(1.0 \, \text{m/s})^2}}{{2 \cdot 6.3 \, \text{m}}} \]

[ a \approx 0.0794 \, \text{m/s}² \]

The negative sign indicates that the acceleration is in the opposite direction of motion, which is downward.

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Answer:

\(x=\frac{1}{10}\)

Step-by-step explanation:

\(\frac{30x^1}{3}=1\)

Multiply both sides by 3

\(\frac{3\cdot \:30x^1}{3}=1\cdot \:3\)

Simplify

\(30x=3\)

divide both sides by 30

\(\frac{30x}{30}=\frac{3}{30}\)

Simplify

\(x=\frac{1}{10}\)