Answer the following questions given the ordered pairs below. {(-5,0). (-3,2), (0,4), (2-7)} a) what is the domain? b) What is the range c) Is this relation a functionz​

If these conditions are met, the sampling distribution of x will be approximately normally distributed. This is helpful in statistical analyses, as it allows us to make inferences about the population mean using the properties of the normal distribution.

The sampling distribution of x (the sample mean) will be approximately normally distributed if certain conditions are met. These conditions are based on the Central Limit Theorem (CLT), which states that:

1. The sample size (n) is large enough, typically n > 30. This ensures that the sampling distribution of x becomes more normally distributed as the sample size increases.
2. The population from which the sample is drawn is either normally distributed or the sample size is large enough to compensate for non-normality.

The sampling distribution of x overbarx (the sample mean) will be approximately normally distributed if certain conditions are met. These conditions include:
1. The population distribution must be normal or approximately normal.
2. The sample size should be large (typically n > 30).
3. The samples should be randomly selected from the population.

If these conditions are met, the sampling distribution of x will be approximately normally distributed. This is helpful in statistical analyses, as it allows us to make inferences about the population mean using the properties of the normal distribution.

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Answer:

w=28

Step-by-step explanation:

since w=4r, and r is equal to 7, we plug 7 into the equation, getting w=4x7, which is 28.

Answer:

x < -3

Step-by-step explanation:

3x<-9

Divide each side by 3

3x/3 <-9/3

x < -3

Open circle at -3 line going to the left

Answer:

Step-by-step explanation:

3x < -9

Divide both sides by 3

x < - 3

x = {........-5, - 4 ,}

The coordinate of point A is,

⇒ (10, - 3)

We have to given that,

The directed line segment CA is divided by the point B in a ratio of 1:4.

Here, Coordinates are,

C = (- 5, 7)

B = (- 2, 5)

Let us assume that,

Coordinate of A = (x, y)

Hence, We can formulate;

⇒ - 2 = 1 × x + 4 × - 5 / (1 + 4)

⇒ - 2 = (x - 20) / 5

⇒ - 10 = x - 20

⇒ x = 10

⇒ 5 = 1 × y + 4 × 7 /(1 + 4)

⇒ 5 = (y + 28) / 5

⇒ 25 = y + 28

⇒ y = - 3

Thus, The coordinate of point A is,

⇒ (10, - 3)

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Answer:

12.8 divide 320 by 25.....

The length of the road that connects the service station with Cray is 46.2 mi.

We need to apply the principle of similar triangles to obtain the length of the road that will connect the service station with Cray as shown in the image attached.

Hence;

The distance between Alba and Blare = 130 mi

The distance between Alba and Cray = 120 mi

Road connecting the service station with Cray =x

And;

120/130 = x/50

x =  46.2 mi

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Answer:

Step-by-step explanation:

Since the sides are in the ratio 5:12:13 and the perimeter is 90 cm, we can determine the length of the sides as follows:

5x + 12x + 13x = 90 cm

30x = 90 cm

x = 3 cm

So the sides of the triangle are 15 cm, 36 cm, and 39 cm.  The 39 cm side is the hypotenuse, so the area is:

Area = (1/2)*Base*Height = (1/2)*(15)*(36) = 270 cm2

Answer:

8 but more than 6

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

The triangle side rule is that the two smaller side have to be added together and be greater than the longest side

6+8=14

so any number that is 14 or more cannot be the other side

Therefore the third side must be less than 14 inches

~MisterMathWiz

Domain of the function is \(0\leq b\leq 10\) and range of the function is \(0\leq W\leq 120\).

The range of values that we are permitted to enter into our function is known as the domain of a function.

A function's range is the collection of values it can take as input.

Each birdhouse uses 12 square feet of wood. Owen has enough to build 10 birdhouses, so he has 120 square feet of wood.

The function has an input of the number of birdhouses, b, and W as an output of the amount of wood needed. b is domain, and W is the range. The domain is 0 to 10 and range is 0 to 120.

Therefore, the domain of the function is  \(0\leq b\leq 10\) and the range of the function is \(0\leq W\leq 120\).

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An equation is a mathematical statement that asserts the equality of two expressions. From the given options, the correct solution is: a = c - bc

It consists of two sides, the left-hand side (LHS) and the right-hand side (RHS), separated by an equals sign (=).

The LHS and RHS of an equation can contain variables, constants, mathematical operations, and functions.

The goal in solving an equation is to find the values of the variables that satisfy the equation, making the LHS equal to the RHS.

Solving an equation typically involves manipulating both sides of the equation using algebraic operations, such as addition, subtraction, multiplication, division, and exponentiation, in order to isolate the variable and determine its value(s).

The solution(s) to an equation can be expressed as a specific value or a set of values, depending on the nature of the equation.

To solve for "a" in the equation "abc = ca," we can follow the given options one by one:

a) a = c - bc

Rearranging the equation, we have:

a + bc = c

a = c - bc

b) a = (1/c) b

This equation does not match the given equation "abc = ca." Therefore, this option is not valid.

c) a = b/c²

This equation also does not match the given equation. Therefore, this option is not valid.

d) a = (1/b)

Again, this equation does not match the given equation. Therefore, this option is not valid.

From the given options, the correct solution is:

a = c - bc

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Answer:

50.4 cookies (50 cookies)

Step-by-step explanation:

Make 42% into a decimal = 0.42

0.42x120=50.4

20 raise the power 7

Step-by-step explanation:

Which clearly means 20 × itself 7 times

Answer:

Four tick marks labeled Chocolate, Pistachio, Strawberry, and Vanilla. There are 3 dots above Chocolate, 1 above Pistachio, 2 above Strawberry, and 4 above Vanilla

Answer:

The answer is A

Step-by-step explanation:

I took the exam

Yes, the 18% of 900 families have no children is reasonable. Yes, the average number of children per family being 2.9 out of 900 families is reasonable.

Here's why:Given that 20% of the families have no children at all and we want to check whether it is reasonable for 18% of 900 families to have no children.

Let us first calculate the number of families with no children using the mean and standard deviation of the distribution. We know that the mean number of children per family is 3 and the standard deviation is 0.60.

So, the number of families without children would be 3 - 0.60 * 2 = 1.8.Let's check what percentage of families have no children using this information:20% of 25,000 families = 5000 families1.8 children per family is the mean of the families with no children.

So, 5000 families with no children * (1/1.8) = 2777.78 families with no childrenThe total number of families we are looking at is 900.

So, the number of families without children in 900 families can be calculated as: (2777.78/25000) * 900 = 100. So, 100 families out of 900 not having children is reasonable.  

Here's why:Given that the mean number of children per family is 3 and the standard deviation is 0.60. We want to check whether it is reasonable to have an average of 2.9 children out of 900 families.

Let's calculate the z-score for this value:z = (x - μ) / σwhere x = 2.9, μ = 3, and σ = 0.60z = (2.9 - 3) / 0.60 = -0.1667We can look up this z-score in the standard normal distribution table to find the probability of getting a sample mean of 2.9 or less.

The probability is 0.4332 or 43.32%.This probability is greater than 5%, which is the level of significance. Therefore, we can conclude that it is reasonable to have an average of 2.9 children out of 900 families.

To sum up, 18% of 900 families having no children is reasonable and the average number of children per family being 2.9 out of 900 families is also reasonable.

The normal distribution with mean 3 and SD 0.6 was used to make these conclusions.

The calculations show that the sample data does not deviate significantly from the population parameters, which supports the validity of these conclusions.

The sample size of 900 is large enough to produce reliable estimates of the population parameters, so we can trust these results.

The mean and standard deviation of the population distribution are used to calculate the expected frequencies of the sample data.

The z-score is then calculated to find the probability of getting the observed sample data. The results show that the sample data is consistent with the population parameters.

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Answer:

C. Two distinct lines are parallel if they are in the same plane and never intersect each other.

Step-by-step explanation:

Parallel lines are best defined as 2 different lines that are in the same plane and will never intersect each other at any point in the graph.

They are always the same distance apart and will never touch.

So, C is correct

Answer:

C

Step-by-step explanation:

The very definition of parallel lines is that they have the same slope, if they have the same slope, they will never meet.

3x° + 36° = 156°        (since alternate interior angles are equal)

        3x°  = 120 °

           x  = 40

Using translation concepts, function g(x) is given as follows:

C. \(g(x) = \sqrt[3]{x - 2} + 1\)

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.

For this problem, the parent function is given by:

\(f(x) = \sqrt[3]{x}\)

The translations for g(x) are as follows:

Thus the rule is:

C. \(g(x) = \sqrt[3]{x - 2} + 1\)

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Answer:

-½ + (root2 / 2) i + root½ i

Step-by-step explanation:

\( \frac{a}{b} - \frac{c}{d} = \frac{ad - cb}{bd} \)

I used this formula to do it but let me know if it's enough or you have to simplify it further

Answer:

45

Step-by-step explanation:

Answer:

1.25w

Step-by-step explanation:

w+0.25 is really 1w+0.25, therefore adding the two would equal 1.25w, here  is how to solve it:

\(w+0.25w\\1*w+0.25w\\1w+0.25w\\1.25w\)

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Answer:

1.25

Step-by-step explanation:

There is an invisible 1 whenever you add x, y, w, whatever. So when you add w + .25w you are really adding 1w + .25w. Because these are like terms, they go together and combined 1+.25 is 1.25. I hope this helps.

The equation of the tangent plane to the surface z = 2 - x² - y² at the point (1, 1, 0) is z = -2x - 2y + 4.

To find the equation of the tangent plane, we need to determine its normal vector. The normal vector of a surface is perpendicular to the tangent plane at any given point. In this case, we can utilize the formula for the normal vector of a surface defined by the equation z = f(x, y), which is given by (-∂f/∂x, -∂f/∂y, 1).

Step 1: Calculate the partial derivatives of f(x, y) with respect to x and y.

Let's find ∂f/∂x and ∂f/∂y of the equation z = 2 - x² - y².

∂f/∂x = -2x and ∂f/∂y = -2y.

Step 2: Substitute the coordinates of the given point (1, 1, 0) into the partial derivatives.

Substituting x = 1 and y = 1 into ∂f/∂x and ∂f/∂y, we get ∂f/∂x = -2 and ∂f/∂y = -2.

Step 3: Determine the equation of the tangent plane using the normal vector formula.

The normal vector is given by (-∂f/∂x, -∂f/∂y, 1), which becomes (-(-2), -(-2), 1) = (2, 2, 1).

Using the point-normal form of a plane equation, we substitute the values x - x₁, y - y₁, and z - z₁ with x - 1, y - 1, and z - 0, respectively.

Therefore, the equation of the tangent plane is 2(x - 1) + 2(y - 1) + 1(z - 0) = 0.

Simplifying, we obtain 2x + 2y + z - 4 = 0, which can be rearranged as z = -2x - 2y + 4.

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During the precolonial period, the three (3) sequential economies that existed in southern Africa are:

An economy can be defined as a function of how the various means of production, money, and scarce resources (raw materials) are carefully allocated and used to facilitate the demand and supply of goods and services in a country, so as to meet the unending needs or requirements of consumers.

During the precolonial period, the three (3) main economies that existed in southern Africa in an ascending order include the following:

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Answer:

96

Step-by-step explanation:

It is a straight linek so it adds up to 189.

53+31 = 84

180-84=96

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The length of the microorganism that measure 5μm is equivalent to 0.005 mm

It is the transformation of a value expressed in one unit of measurement into an equivalent value expressed in another unit of measurement of the same nature.

To solve this problem the we have to convert the units with the given information.

1mm is equal to 1000 μm

5μm * (1 mm/1000μm) = (5*1) / 1000 = 5/1000 = 0.005 mm = 5x10^-3 mm

The length of the microorganism that measure 5μm is equivalent to 0.005 mm

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The Central Limit Theorem allows us to use the sample mean to estimate the population mean even when the population distribution is unknown. The standard deviation of the population, sigma, is an important factor in determining the spread of the sample means.

The statement you are referring to is known as the Central Limit Theorem. It states that when sampling from a population with an unknown distribution, if the sample size is sufficiently large (usually n>30), the sample mean will follow an approximately normal distribution regardless of the shape of the population distribution. This is particularly useful in statistics because it allows us to make inferences about the population mean based on the sample mean.

The standard deviation, sigma, plays an important role in the Central Limit Theorem because it determines how spread out the population is. If sigma is small, the sample means will be tightly clustered around the population mean, while if sigma is large, the sample means will be more spread out.

In conclusion, the Central Limit Theorem allows us to use the sample mean to estimate the population mean even when the population distribution is unknown. The standard deviation of the population, sigma, is an important factor in determining the spread of the sample means.

1. When sampling from a population with an unknown distribution, mean mu, and standard deviation sigma,

2. If the sample size (n) is sufficiently large,

3. The sample mean (x bar) will have approximately a normal distribution.

The CLT(central limit theorem) is a vital tool in many areas of statistical analysis, as it provides a foundation for making inferences about populations based on sample data, even when the original population distribution is unknown or non-normal.

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Answer:

140in or 11.6 ft

Step-by-step explanation:

2 times 10 equals 20 so you would time 14 by ten to get the inches

1) Number sense, arithmetic operations, algebra, geometry, data analysis, and probability are some of the topics that are commonly covered in math classes.

The need of developing problem-solving and procedural fluency skills is underlined. To ensure they have a solid basis for future learning, students may also receive training on arithmetic concepts they missed in earlier grades.

2) The use of real-world issues, direct education, cooperative learning, and the use of technology to aid learning are some particular methods of mathematical instruction that are encouraged.

Additionally, emphasis is placed on encouraging a growth mentality and a positive attitude toward mathematics.

3) Direct instruction, visual aids like graphs and diagrams, manipulatives and hands-on activities, scaffolding, and systematic review and practice are some specific techniques used to teach fundamental mathematical instruction.

In order to promote critical thinking and the growth of students' problem-solving abilities, teachers may also employ questioning strategies.

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Answer:

299 miles

Explanation:

Base Fee for the truck = $15.99

Charge per mile driven = 78 cents =$0.78

Let the number of miles driven = x

Therefore, for x miles, Chris would be expected to pay a total charge, C defined by the equation below:

If Chris had to pay $249.21 when he returned the truck, it means that:

His total charge, C = $249.21

We conclude therefore that Chris drove the truck for 299 miles.