Divide.

389.5÷1000

pls answer correctly

The observation is located to the left of the mean by a distance of 1.2 standard deviations.

The z-score of an observation represents the number of standard deviations the observation is away from the mean.

If the z-score for a particular observation is z = -1.2, this means that the observation is 1.2 standard deviations below the mean.

If the mean is represented by μ and the standard deviation by σ, then we can express this observation as:

observation = μ + (z * σ)

observation = μ + (-1.2 * σ)

This means that the observation is located to the left of the mean by a distance of 1.2 standard deviations.

For example, The z-score represents the number of standard deviations an observation is above or below the mean of the distribution.

In this case, a z-score of -1.2 indicates that the observation is 1.2 standard deviations below the mean height of the group.

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Inferential statistics involves using sample data to make inferences, predictions, or generalizations about a larger population, providing valuable insights and conclusions based on statistical analysis.

The term "inferential statistics" is associated with the task of making inferences or drawing conclusions about a population based on sample data.

In other words, it involves using sample data to make generalizations or predictions about a larger population.

Inferential statistics is concerned with analyzing and interpreting data in a way that allows us to make inferences about the population from which the data is collected.

It goes beyond simply describing the sample and aims to make broader statements or predictions about the population as a whole.

This branch of statistics utilizes various techniques and methodologies to draw conclusions from the sample data, such as hypothesis testing, confidence intervals, and regression analysis.

These techniques involve making assumptions about the underlying population and using statistical tools to estimate parameters, test hypotheses, or predict outcomes.

The goal of inferential statistics is to provide insights into the larger population based on a representative sample.

It allows researchers and analysts to generalize their findings beyond the specific sample and make informed decisions or predictions about the population as a whole.

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We would reject the null hypothesis in favor of the alternative hypothesis.

The null hypothesis (H0) is that the average number of classes per quarter for students is 2 or less. The alternative hypothesis (Ha) is that the average number of classes per quarter for students is greater than 2. We can express this as:

H0: μ ≤ 2 (mean number of classes per quarter)

Ha: μ > 2

Where μ represents the population mean. This hypothesis is based on the instructor's belief that students take more than 2 classes on average.

The significance level (alpha) is given as 0.01, which means that if the p-value of the test is less than 0.01, we would reject the null hypothesis in favor of the alternative hypothesis.

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There is a high likelihood of a positive correlation between a placement test score and the final grade in a class, although it is not guaranteed.

A placement test is designed to assess a student's knowledge and skills in a particular subject area, and is often used to determine the appropriate starting level for the student in that subject. Since the placement test is intended to measure the student's proficiency in the subject area being tested, a high score on the placement test can indicate a strong foundation of knowledge and skills that may be relevant to the class.

If the class material builds upon the content covered in the placement test, it is reasonable to expect that students who score well on the placement test will have an advantage over those who score poorly, and may perform better in the class. However, other factors such as the difficulty of the class, teaching style, motivation, and prior knowledge may also contribute to a student's final grade in the class. Therefore, while a positive correlation between placement test score and final grade is likely, it is not a guarantee.

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Answer:

97,175

Step-by-step explanation:

I don't think It's necessary, but I am gonna do it anyways.

15*6=90

15*7=105

105 - 90 =15

15/2 =7,5

90+7,5= 97,5

15*6,5=  97,5

0,05*6,5= 0,325

97,5 - 0,325 =   97,175

Based on the information supplied, the estimated age of archaeological sample is = 0.183536  years.

The given half life is 5730.

t₆.₅ = Ln2/k

k= ln 2/ 5730

The rate of change,

k = 0.00012 year⁻¹

Given that 15 % of the 14C is still present,

|A1|/|A2| = e ⁻₍kt₎3

Consequently,

|A1|/|A2| = 0.18

As a result of solving the equation, we obtain,

ln(0.18)= -1.7147

t = -0.31471/ —1.7147

= 0.183536  years

The half-life is the amount of time required for a quantity (of material) to drop to half of its initial value (symbol t12). The phrase is widely used in nuclear physics to emphasise how quickly unstable atoms decay radioactively or how long stable atoms remain. The term is often used to denote any type of exponential decay (or, very infrequently, nonexponential decay).

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Answer: forty five and  tfourenths      eight eight and eight hundreths        seventeen hundreths     two and thirty five thousandeths

step-by-step explanation:

Answer:

forty five and four tenths

eighty eight and eight hundredths

seventeen hundredths

two and thirty five thousandths

The equations 12x = 9x^2 + 4, 2x^2 = 6x - 5, and -x^2 - 10x = 34 all have two complex solutions and no real solutions.

The equation 3x^2-5x=-8 has two complex solutions and no real solutions. Let's solve it step-by-step:
1. Start by rearranging the equation in standard quadratic form: 3x^2 - 5x + 8 = 0.
2. Now, we need to use the quadratic formula to find the solutions. The quadratic formula is given by:
x = (-b ± √(b^2 - 4ac))/(2a),
where a, b, and c are the coefficients of the quadratic equation.
In our case, a = 3, b = -5, and c = 8.
3. Substitute the values into the quadratic formula:
x = (-(-5) ± √((-5)^2 - 4*3*8))/(2*3).
Simplifying further:
x = (5 ± √(25 - 96))/(6).
x = (5 ± √(-71))/(6).
4. Since we have a negative value under the square root, we can conclude that the solutions are complex.
5. To express the solutions in complex form, we can write them as follows:
x = (5 ± i√71)/(6),
where i represents the imaginary unit (√(-1)).
Therefore, the equation 3x^2-5x=-8 has two complex solutions and no real solutions. The solutions are x = (5 + i√71)/(6) and x = (5 - i√71)/(6).
Now let's check the other equations:
1. 12x = 9x^2 + 4:
This equation is a quadratic equation in the form ax^2 + bx + c = 0. By rearranging it, we get 9x^2 - 12x + 4 = 0. Applying the quadratic formula, we find two complex solutions, which are x = (2 + i√2)/3 and x = (2 - i√2)/3.
2. 2x^2 = 6x - 5:
Again, rearranging the equation gives us 2x^2 - 6x + 5 = 0. Applying the quadratic formula, we find two complex solutions, which are x = (3 + i)/2 and x = (3 - i)/2.
3. -x^2 - 10x = 34:
By rearranging the equation, we get -x^2 - 10x - 34 = 0. Applying the quadratic formula, we find two complex solutions, which are x = (-5 + i√79)/(-1) and x = (-5 - i√79)/(-1).
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The required diagram could be used to represent the context if x represents how much each bottle of juice cost is D. Option D is correct.

Given that,
She bought a bag of popcorn for $3.39 and a 4-pack of juice bottles. The total cost before tax was $7.43.
To determine the diagram could be used to represent the context if x represents how much each bottle of juice costs.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,

Here,
Let the cost of each juice bottle be x.
Now,
accoding to the question,
4x = 7.43 - 3.39

Thus, the required diagram could be used to represent the context if x represents how much each bottle of juice cost is D. Option D is correct.

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Answer:

X IS LESS THAN 6

Step-by-step explanation:

because x < 6 that means 6 is more than x so x has to be less than 6. your welcome;

The SOH CAO TOA identity is used to determine the acute angles of a right triangles. The terminal point of ø is (-1,0), what is tan ø is 0

Given the terminal point (-1, 0), the value of tanø is expressed as:

tanø = opposite/adjacent

tanø = y/x

From the coordinate given:

x = -1

y = 0

Substitute

tanø = 0/-1
tanø  = 0

Hence the terminal point of ø is (-1,0), what is tan ø is 0

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Answer:

1,160.50 per week

Step-by-step explanation:

The waist-to-hip ratio for the client would be 0.763, which is considered a healthy ratio for women (less than 0.8) and an average ratio for men (less than 0.9).

To calculate the waist-to-hip ratio (WHR), you simply divide the measurement of your waist circumference by your hip circumference.

WHR = waist circumference / hip circumference

Using the measurements you provided, the calculation would be:

WHR = 29 inches / 38 inches = 0.763

Alternatively, if you prefer to use centimeters:

WHR = 74 cm / 97 cm = 0.763

Therefore, the waist-to-hip ratio for the client would be 0.763, which is considered a healthy ratio for women (less than 0.8) and an average ratio for men (less than 0.9).

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No, Alice is not right. The probability of getting two heads when we know that the first toss is a head is 1/2, whereas the probability of getting two heads when we know that at least one of the tosses is a head is 1/3.

If we know that the first toss is a head, the only possible outcomes are HH or HT. The probability of getting two heads in this case is 1/2.

If we know that at least one of the tosses is a head, the possible outcomes are HH, HT, or TH. The probability of getting two heads in this case is 1/3.

Therefore, the event of two heads is less likely if we know that at least one of the tosses is a head than if we know that the first toss is a head.

In conclusion, Alice's claim is incorrect. The event of two heads is less likely if we know that at least one of the tosses is a head than if we know that the first toss is a head.

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Sylvia and Patrick gathered information on the weight of cars and the mileage they get, and then proceeded to plot the data on a graph.

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Answer:

C that’s the answer very easy there u go

Step-by-step explanation:

-780 divided by 6 = -130

Approximating 7,123,456 by rounding to the nearest million will be 7,000,000.

Anything similar to something else but not precisely the same is called an approximation. By rounding, a number can be roughly estimated. By rounding the values in a computation before carrying out the procedures, an estimated result can be obtained.

If you want to round to one or two decimal places, look at the digit immediately following the decimal point. To the right of the necessary place value digit, draw a vertical line. Observe the following digit. Increase the preceding digit by one if the following digit is 5 or higher.

Therefore, approximating 7,123,456 by rounding to the nearest million will be 7,000,000.

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The best group to take a random sample from is All students in each grade. This is because the population that the social studies teacher is interested in is the students in the entire school.

By taking a random sample from all students in each grade, the teacher is ensuring that the sample is representative of the population as a whole.

The other options are not as good because they do not represent the entire population. For example, option a, All teachers in the school, does not include students. Option b, All boys in each grade, does not include girls. Option d, All students in the social studies club, only includes students who are members of the social studies club.

Therefore, the answer is All students in each grade.

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Ralph needs $11.75 more to buy 5 pencils, 3 pens, and 2 notebooks from the school store.

Ralph needs to determine how much more money he needs to buy the items from the school store. He wants to buy 5 pencils, 3 pens, and 2 notebooks. The price of each item is given as follows:

Pencils: $0.50 each
Pens: $1.25 each
Notebooks: $2.75 each

To calculate how much more money Ralph needs, we need to find the total cost of the items he wants to buy.

For pencils, since he wants to buy 5, we can multiply the price of each pencil ($0.50) by the number of pencils (5). This gives us a total cost of $2.50 for the pencils.

Similarly, for pens, since he wants to buy 3, we can multiply the price of each pen ($1.25) by the number of pens (3). This gives us a total cost of $3.75 for the pens.

Lastly, for notebooks, since he wants to buy 2, we can multiply the price of each notebook ($2.75) by the number of notebooks (2). This gives us a total cost of $5.50 for the notebooks.

To find the total cost of all the items, we add the costs of pencils, pens, and notebooks together. $2.50 (pencils) + $3.75 (pens) + $5.50 (notebooks) = $11.75.

Therefore, Ralph needs $11.75 more in order to buy all the items he wants from the school store.

In conclusion, Ralph needs $11.75 more to buy 5 pencils, 3 pens, and 2 notebooks from the school store.

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From the given information provided, the first system is stable while the second system is marginally stable.

To determine the stability of a system with a transfer function, we need to look at the poles of the transfer function, which are the roots of the denominator polynomial.

For the first transfer function, T(s) = 5 (s+2)/(s+1)(s² + s + 1), the denominator polynomial is s² + s + 1, which has complex conjugate roots with negative real part. Therefore, the system is stable.

For the second transfer function, T(s) = 5(-s+2)/(s+1)(s²+s+1), the denominator polynomial is s² + s + 1, which again has complex conjugate roots with negative real part. However, there is also a pole at s = -1, which is a real pole with negative real part. This means that the system is marginally stable, meaning that it is stable but any small perturbations or disturbances can cause the system to become unstable.

Question - Comment on the stability of a system with the closed-loop transfer function given by each of the following. T(s) = 5 (s+2)/(s+1)(s¹ + s+ 1) T(s)= 5(-s+2)/(s+1)(s¹+s+1)

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Answer:

x= -2

Step-by-step explanation:

since we know what y equals we fill it into the second equation

3(x+4)= -2x+2

3x+12=-2x+2

   -12.      -12

3x=-2x-10

+2x +2x

5x=-10

/5. /5

x= -2

hopes this helps please mark brainliest

The wax cost to cover the floor is $1,569.75.

The correct option is B.

The area is the amount of area occupied by an object's flat (2-D) surface or shape.

Given:

A maintenance worker needs to wax a restaurant floor shaped like the image shown.

A six-sided figure.

There is a horizontal base of 35 feet then another horizontal base below it of 20 feet.

The longest side is to the right and is 40 feet.

The top is 30 feet.

There is a perpendicular from the vertex of the top to the first base of 35 that is labeled 15 feet.

The total area of the composite figure is,

= (15 x10) + (20 x 40) + (1/2 x 25 x 15)

= 1137.5 square feet.

If the wax cost $1.38 a square foot,

the cost is,
= 1137.5 x 1.38

= $1569.75

Therefore, the total cost is $1569.75.

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Therefore the answer is 17/40

Answer:

1) √10 units

A=(-1, 0) let us assume (x1, y1)

B=(2, 1) let us assume (x2,y2)

distance= √(x2-x1)^2 + (y2-y1)^2

=√(2+1)^2 + ( 1-0)^2

=√3^2 + 1^2

= √10 units

There are 21,600 possible groups that the teacher can form.

Combinations is a method of counting the number of ways to select a specific number of items from a larger set without regard to their order.

Specifically, the problem involves finding the number of ways to select three boys and two girls from a group of twenty students.

C(20, 3) * C(17, 2)

Here we have

A teacher wishes to divide her class of twenty students into four groups, each of which will have three boys and two girls.

Assume that there are two equal number of boys and girls

Now we need to choose 3 boys out of 10 and 2 girls out of 10 for each group, as there are 10 boys and 10 girls in the class.

We can do this in the following way:

Number of ways to choose 3 boys out of 10 = C(10,3) = 120

Number of ways to choose 2 girls out of 10 = C(10,2) = 45

Hence,

The number of ways to form a group of 3 boys and 2 girls

= 120 × 45 = 5400

Since we need to form 4 such groups,

The total number of possible groups that the teacher can form is:

=> 4 × 5400 = 21600

Therefore,  

There are 21,600 possible groups that the teacher can form.

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Answer:

hope this helps..........

Answer:

the smaller triangle is 2x smaller than the larger one.

Answer: 7 days

Step-by-step explanation:

From the question, we are informed that a road construction company can repair 1/4 mile of road each day. We are further told that Road X is 7 ½ miles long. The number of days that it'll take to repair road X will be:

= 7 1/2 ÷ 1/4

= 15/2 × 4/1

= 30 days

Road Y is 5 ¾ miles long. The number of days that it'll take to repair road Y will be:

= 5 3/4 ÷ 1/4

= 23/4 × 4/1

= 23 days

The difference in the number of days that Road X take to repair than Road Y will be:

= 30 days - 23 days

= 7 days

The recipe for fried potato fritters requires a mixture of mashed potatoes and chicken meat in the ratio 9 : 2. One kilogram of mixture yields 24 pieces of fritters. To make 198 pieces of potato fritters, you would need approximately 8.25 kilograms of chicken meat.

Given that one kilogram of the mixture yields 24 pieces of fritters, we need to find the ratio of mixture to fritters to determine the amount of mixture needed for 198 fritters.

The ratio of mixture to fritters is 1 kilogram : 24 pieces.

To find the amount of mixture needed for 198 pieces of fritters, we can set up a proportion:

1 kilogram / 24 pieces = X kilograms / 198 pieces.

Cross-multiplying, we get: 1 kilogram * 198 pieces = 24 pieces * X kilograms.

Simplifying the equation, we have: 198 = 24X.

Solving for X, we divide both sides of the equation by 24: X = 198 / 24 = 8.25 kilograms.

Since the ratio of mashed potatoes to chicken meat is 9 : 2, we can calculate the amount of chicken meat needed for 8.25 kilograms of the mixture.

The total ratio is 9 + 2 = 11 parts.

To find the amount of chicken meat, we divide 2 parts by 11 and multiply by 8.25 kilograms:

(2/11) * 8.25 kilograms = 1.5 kilograms (approximately).

Therefore, to make 198 pieces of potato fritters, you would need approximately 8.25 kilograms of chicken meat.

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A story that can be represented using the equation y=x+1/5x is "John has an apple and he cut another apple into 5 equal parts and took on part. What's the rural fraction of apple that he has?

An equation is the statement that illustrates the variables given. In this case, two or more components are taken into consideration to describe the scenario. It is vital to note that an equation is a mathematical statement which is made up of two expressions that are connected by an equal sign.

In this case, if John has an apple and he cut another apple into 5 equal parts and took on part.

This can be illustrated as:

y = x + 1/5x

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