Approximate the mean of the trequency distribution for the ages of the residents of a town Age Frequency 0.9 10-19 20 20-29 13 30-39 22 40-49 18 50-59 57 60-69 46 70-79 15 80-89 6
he approximate mean age is years (Round to one decimal place as needed)

Answer:

that must mean that either the objects are giving off heat or the heat from one object is transferring to the air

Step-by-step explanation:

Answer:

The objects must be different temperatures.

Step-by-step explanation:

Answer: x=32

Step-by-step explanation:

\(\frac{1}{8}x+8=12\)

subtract 8 on both sides

\(\frac{1}{8}x+8-8=12-8\)

\(\frac{1}{8}x=4\)

multiply 8 on both sides

\(8\cdot \frac{1}{8}x=4\cdot \:8\)

\(4\cdot8=32\)

\(x=32\)

Sarah's final position would be negative. Therefore, option B is the correct answer.

Given that, Sarah starts at a positive position along the x-axis. She then undergoes a negative displacement.

A negative displacement means that Sarah has moved backward along the x-axis, so her final position would be negative.

Therefore, option B is the correct answer.

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Answer:

18.87 square cm.

Step-by-step explanation:

The area of the rectangle will be (4 + 4) * 4, since the length of the rectangle would be the diameter of the circle, and the width of the rectangle would be the radius. (4 + 4) * 4 = 8 * 4 = 32 square cm.

Then, we can calculate the area of the semicircle. The area of a circle is pi * r^2, so the area of a semicircle will be half of that. pi * (4^2) / 2 = pi * 16 / 2 = 8pi. 8 * 3.14159265 = 25.1327412 square cm.

The shaded area of the middle of the shape will then be 32 - 25.1327412 = 6.8672588 square cm.

The two triangles will have the same area. Their bases will be 14 minus the diameter of the circle, then divide that by 2 to get each separate base. 14 - 8 = 6 / 2 = 3. The heights of the triangles will be the radius of the circle, or 4 cm.

1/2 * 3 * 4 = 1/2 * 12 = 12/2 = 6. That is the area of one triangle, so the area of both triangles would be 6 * 2 = 12 square cm.

6.8672588 + 12 = 18.8672588, or 18.87 square cm.

Hope this helps!

Answer:

(44 - 8(pi)) cm^2    Exact area

18,9 cm^2    Approximate area

Step-by-step explanation:

The shaded area is the area of the trapezoid minus the area of the semicircle.

area of trapezoid = (b1 + b2)h/2

area of semicircle = (pi)(r^2)/2

The triangles at both sides are right triangles. Each of the horizontal legs has length (14 cm - 8 cm)/2 = 3 cm. Each of the vertical legs is congruent to the radius of the semicircle.

b1 = lower base = 14 cm

b2 = upper base = 14 cm - 3 cm - 3 cm = 8 cm

shaded area = (b1 + b2)h/2 - (pi)(r^2)/2

= (14 cm + 8 cm)(4 cm)/2 - (pi)(4 cm)^2 / 2

= 44 cm^2 - 8(pi) cm^2

= (44 - 8(pi)) cm^2    Exact area

= 18.9 cm^2    Approximate area

Answer:

-8

Step-by-step explanation:

y2 - y1 / x2 - x1

-15 - 1 / 1 - (-1)

= -16 / 2

= -8

when N is divided by 8, the result is greater than 5 the least possible integer value of N is 48.

Zero, a positive natural number, or a negative integer with a minus sign are all examples of integers. The additive inverses of the positive numbers are the negative numbers. The boldface Z is frequently used in mathematics to denote the set of integers.

the least possible integer greater than 5 is 6,

and when 6 × 8 = 48 thus,

the least possible integer value of N is 48.

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Required:

We need to fill the given diagram with suitable words.

Explanation:

Consider the first line.

There is a choice of fish-bottled water is coming from fish and bottled water.

Consider the second like there is Chicken-bottled water and we have bottled water.

There must be chicken under food.

There are only three types of drink that are Bottled water, Soft drink, and juice.

In drinks for fish, there are already two drinks Bottled water and juice so the remaining is Soft drinks.

Chicken and juice give a choice of Chicken-Juice.

Vegetable and Juice give a choice of Vegetable- Juice.

Answer:

THE ANSWER IS...TwO :0

Step-by-step explanation:

Answer:

I think the answer is either c or d

Step-by-step explanation:

sorry that i dont know (-_-”)

Nora could run 7.5 minutes per mile to qualify for the state cross-country championships. The correct answer is option c.

To qualify for the state cross-country championships, Nora needs to run 4 miles in 30 minutes or less. So, her average rate should be:

average rate = total time / total distance

If she runs at the slowest rate possible to still qualify, then her average rate would be:

average rate = 30 / 4 = 7.5 minutes per mile

Therefore, the correct option is c) 7.5.

If she runs slower than this average rate, then her total time would exceed 30 minutes and she would not qualify.

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So, about 10π cubic centimeters of wax in volume are needed to make this crayon.

To calculate the volume of the crayon, we need to find the volumes of both the cone and the cylinder and add them together.

Volume of the cone:

V = (1/3) * π * r² * h

V = (1/3) * π * 2² * 3

V = 4π cm³

Volume of the cylinder:

V = π * r² * h

V = π * 1² * 6

V = 6π cm³

Total volume of the crayon:

V_total = V_cone + V_cylinder

V_total = 4π + 6π

V_total = 10π cm³

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Answer: 57.02

130.3 - 73.28 = 57.02

Answer:

It would be 6.

Step-by-step explanation:

6 halved is 3.

3, then 5 added is 8.

The angles that have the given measure, 180° - x°, are angle 5 (∠5) and angle 8 (∠8)

From the question, we are to determine the angles that have the given measure

The given measure is

180° - x°

From the given information,

m ∠6 = x°

From the given diagram, we can write that

m ∠6 + m ∠8 = 180° (Linear pair theorem)

Thus,

x° + m ∠8 = 180°

m ∠8 = 180° - x°

Also,

From the given diagram, we can write that

m ∠5 + m ∠6 = 180° (Linear pair theorem)

Thus,

m ∠5 + x° = 180°

m ∠5 = 180° - x°

Hence, the angles are angle 5 and angle 8

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Answer:

If \(p\) is people and \(h\) is hot dogs, the equation is \(3h=4p\).

The  relation among people who attend and hot dog sold is 4x = 3y.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

At the Football game they expect that for every 4 people that attend 3 hot dogs will be sold.

let the are total x people and y number of hot dogs will be sold.

So, the relation among people who attend and hot dog sold is

4x = 3y

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Answer:

false

Step-by-step explanation: You start by answering what's n parenthesis first (pemdas) 3(27 + 6) =

. 3 • 33=

. 99 then answer the second. Problem 18 + 27= 45

So now you know 99>45 which means answer is false

Answer:

22=4/8 if needed to simplify that is 1/2

Answer:

22. 1/2

23. 11/6

24. 10/19

Step-by-step explanation:

The percentage of 4c that's the expression 0.04c will be is 1%.

From the complete information, we are told to calculate the percentage of 0.04c from 4c.

This will be calculated thus:

= 0.04c/4c × 100

= 0.01

= 1%

Therefore, the percentage is 1%.

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Answer:

the value of x is 0.2105

Step-by-step explanation:

The recommended food plan - MyPlate guidelines were established to enable individuals to follow a balanced diet, ensuring they get all the nutrients their bodies require. The Grains category is one of the five food groups, which is part of the MyPlate guidelines. It is advised to consume approximately six ounces of grains each day. Brown rice, whole-wheat bread, oatmeal, pasta, and cereals are all healthy grains that provide the nutrients our bodies need. To the roasted chicken, adding brown rice from the Grains category and consuming a balanced diet can provide several nutrients.

The USDA recommends that adults consume about 46-56 grams of protein per day, but this can vary depending on age, sex, weight, and activity level. To calculate the amount of protein in the meal, we can use the following formula:

Amount of protein in brown rice: 1 cup of cooked brown rice contains 5 grams of protein.

Amount of protein in roasted chicken: 3 ounces of roasted chicken contains 27 grams of protein.To calculate the total amount of protein in the meal, add the protein amounts in both the chicken and brown rice:

5 grams of protein in brown rice + 27 grams of protein in roasted chicken = 32 grams of protein in the meal

Therefore, the meal contains 32 grams of protein.

The amount of fiber in brown rice and roasted chicken, respectively, is as follows:

Amount of fiber in 1 cup of cooked brown rice: 3.5 grams

Amount of fiber in 3 ounces of roasted chicken: 0 grams

To calculate the total amount of fiber in the meal, add the fiber amounts in both the chicken and brown rice:

3.5 grams of fiber in brown rice + 0 grams of fiber in roasted chicken = 3.5 grams of fiber in the meal

Therefore, the meal contains 3.5 grams of fiber in total.

The MyPlate guidelines advise individuals to consume a balanced diet that contains all the nutrients their bodies need. The Grains category is an essential component of a balanced diet that includes healthy grains such as brown rice, whole-wheat bread, oatmeal, pasta, and cereals. Brown rice is a great source of fiber, vitamins B and E, minerals like iron and zinc, and antioxidants that can help protect the body against various diseases.Adding brown rice from the Grains category to roasted chicken provides the meal with an excellent source of protein. Protein is essential for building and repairing tissues, making enzymes and hormones, and preserving lean muscle mass. A balanced diet should contain approximately six ounces of grains, and brown rice is a great way to achieve this recommendation.

Brown rice is also high in fiber, making it a filling food that can help reduce appetite and aid in weight loss. Additionally, fiber can help regulate bowel movements and prevent digestive disorders. Consuming fiber-rich foods such as brown rice can also help reduce the risk of heart disease, diabetes, and certain types of cancer.Thus adding brown rice from the Grains category to roasted chicken provides the meal with 32 grams of protein and 3.5 grams of fiber, making it a nutritious meal that can provide several health benefits. Consuming a balanced diet that contains all the nutrients our bodies need can help reduce the risk of various diseases and ensure optimal health.

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Answer:

a) x + y

b) m x 7 or 7m

c) m x 3 or 3m

d) \(\frac{n - 3}{4}\)

Step-by-step explanation:

a) the sum of x and y

- the sum most likely always means addition

b) the product of m and 7

- the product usually means multiplucation

c) the cost of 3 movie tickets at m dollars each

- so your getting 3 movie tickets at $m

the total would be m + m + m which is the same as mutiplying m by 3

d) 3 less than n, all divided by 4

- 3 less than n

less than usually means subtraction

than divided by 4

\(\rule{200}{2}\\\dashrightarrow\large\blue\textsf{\textbf{\underline{Given question:-}}}\)

            write algebraic expressions to represent the following:

a) the sum of x and y b) the product of m and 7

c) the cost of 3 movie tickets at m dollars each d) 3 less than n, all divided by 4

\(\dashrightarrow\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}\)

First, "the sum of" indicates that we add.

Since we're asked to find the sum of x and y, we need to add them:-

Now, the "product of" indicates that we multiply.

So we multiply m times 7, which can be written as follows:-

If we have 3 movie tickets, and each of them costs m dollars, then in order to find the cost of all 3 movie tickets, we need to find the product of the total number of tickets times the cost of one ticket:-

So we multiply 3 times m, or

Now, "3 less than n" indicates that we subtract 3 from n; this expression is divided by 4, or:-

         \(\rule{200}{1}\)

The volume of the square-based pyramid is 3888 units³. Your answer is option B. 3888 units³.

The formula to calculate the volume of a pyramid is V = (1/3)Bh,

Where B is the area of the base and h is the height.

In this case, the base is a square with edge length 9 units, so the area is B = 9² = 81 units².

The height is given as 48 units.
Plugging these values into the formula, we get:
To find the volume of a square-based pyramid, you can use the following formula:

V = (1/3) * base area * height.

In this case, the base edge is 9 units and the height is 48 units.

First, find the base area:

A = side * side = 9 * 9

= 81 square units.

Next, calculate the volume:

V = (1/3) * 81 * 48 = 3888 cubic units.
V = (1/3)(81)(48)
V = 1296 units³
Therefore, the volume of the pyramid is 1296 units³, which is option b.

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Answer: 41.296

Step-by-step explanation:

Simply type 71.2*0.58 into a calculator for the answer.  If you want to know how to multiply with decimals, just comment and I'll explain.

Hope it helps <3

Answer:

Hey there!

71.2x0.58 is 41.296

Hope this helps :)

This information can be useful for comparing and analyzing test scores, especially when comparing scores from different tests or different populations.

To find the standardized values for students scoring 540, 600, 650, and 700 on the test, we need to use the formula for z-score:
z = (x - mean) / standard deviation
Assuming that the test scores follow a normal distribution with a mean of 500 and a standard deviation of 100 (which are common values for standardized tests), we can calculate the z-scores as follows:
For a score of 540:
z = (540 - 500) / 100 = 0.4
For a score of 600:
z = (600 - 500) / 100 = 1
For a score of 650:
z = (650 - 500) / 100 = 1.5
For a score of 700:
z = (700 - 500) / 100 = 2
These standardized values represent the number of standard deviations that each score is away from the mean. A z-score of 0 means that the score is exactly at the mean, while a z-score of 1 means that the score is one standard deviation above the mean, and so on.
Therefore, we can interpret these standardized values as follows:
- A score of 540 is 0.4 standard deviations above the mean.
- A score of 600 is 1 standard deviation above the mean.
- A score of 650 is 1.5 standard deviations above the mean.
- A score of 700 is 2 standard deviations above the mean.

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To show that the matrix A = [XX - X'Z(ZZ)^(-1)Z'X] is positive definite, we need to demonstrate two properties: (1) A is symmetric, and (2) all eigenvalues of A are positive.

Symmetry: To show that A is symmetric, we need to prove that A' = A, where A' represents the transpose of A. Taking the transpose of A: A' = [XX - X'Z(ZZ)^(-1)Z'X]'. Using the properties of matrix transpose, we have:

A' = (XX)' - [X'Z(ZZ)^(-1)Z'X]'. The transpose of a sum of matrices is equal to the sum of their transposes, and the transpose of a product of matrices is equal to the product of their transposes in reverse order. Applying these properties, we get: A' = X'X - (X'Z(ZZ)^(-1)Z'X)'.  The transpose of a transpose is equal to the original matrix, so: A' = X'X - X'Z(ZZ)^(-1)Z'X. Comparing this with the original matrix A, we can see that A' = A, which confirms that A is symmetric.  Positive eigenvalues: To show that all eigenvalues of A are positive, we need to demonstrate that for any non-zero vector v, v'Av > 0, where v' represents the transpose of v. Considering the expression v'Av: v'Av = v'[XX - X'Z(ZZ)^(-1)Z'X]v

Expanding the expression using matrix multiplication : v'Av = v'X'Xv - v'X'Z(ZZ)^(-1)Z'Xv. Since X and Z have full column rank, X'X and ZZ' are positive definite matrices. Additionally, (ZZ)^(-1) is also positive definite. Thus, we can conclude that the second term in the expression, v'X'Z(ZZ)^(-1)Z'Xv, is positive definite.Therefore, v'Av = v'X'Xv - v'X'Z(ZZ)^(-1)Z'Xv > 0 for any non-zero vector v. Implications in econometrics: In econometrics, positive definiteness of a matrix has important implications. In particular, the positive definiteness of the matrix [XX - X'Z(ZZ)^(-1)Z'X] guarantees that it is invertible and plays a crucial role in statistical inference.

When conducting econometric analysis, this positive definiteness implies that the estimator associated with X and Z is consistent, efficient, and unbiased. It ensures that the estimated coefficients and their standard errors are well-defined and meaningful in econometric models. Furthermore, positive definiteness of the matrix helps in verifying the assumptions of econometric models, such as the assumption of non-multicollinearity among the regressors. It also ensures that the estimators are stable and robust to perturbations in the data. Overall, the positive definiteness of the matrix [XX - X'Z(ZZ)^(-1)Z'X] provides theoretical and practical foundations for reliable and valid statistical inference in econometrics.

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There are 20 different combinations of colors possible in a 6-pack of lacrosse balls.

What is the combination?

A combination is a choice of items from a group of different items where the order of the choices is irrelevant. Either the process of combining or the condition of combining. a combination of several things a mixture of thoughts. something created through fusion: A chord is made up of several notes.

Here, we have

Given: lacrosse balls come in 3 colors: red, yellow, and blue.

We have to find the different combinations of colors that are possible in a 6-pack of lacrosse balls.

We apply here combination formula and we get

= ⁶C₃

= (6×5×4×3!)/(3!×3×2×1)

= 20

Hence, there are 20 different combinations of colors possible in a 6-pack of lacrosse balls.

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Answer:

URMMM WHERE IS THE DIAGRAM...

(a) The function f is injective.

(b) The function f is surjective, for S = P(R). Let f: RS be defined by f(x) = {Y ∈ R: y2 < x},

(a) To prove whether f is injective, we need to show that for any two distinct elements x₁ and x₂ in the domain of f, their images under f are also distinct.

Let's assume that there exist two distinct elements x₁ and x₂ in the domain of f such that f(x₁) = f(x₂).

This means that the set of y values that satisfy y² < x₁ is equal to the set of y values that satisfy y² < x₂.

However, since x₁ and x₂ are distinct, their corresponding sets of y values must also be distinct. Therefore, we can conclude that f is injective.

(b) To prove whether f is surjective, we need to show that for every element y in the codomain of f, there exists an element x in the domain of f such that f(x) = y.

Let's assume that there exists an element y in the codomain of f such that there is no corresponding x in the domain of f satisfying f(x) = y.

This implies that there is no x for which y² < x, which contradicts the definition of the function f.

Therefore, for every y in the codomain of f, there exists an x in the domain of f such that f(x) = y. Hence, we can conclude that f is surjective.

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