Consider this scenario: 12. In the population, the average score on a test of self-esteem is 60 (the population standard deviation is 5). If you select a sample (group) of 25 students who then score with a mean of 63 , what conclusion can you make about this sample? (How normal is the sample/group or how rare is the sample/group?) 13. What z-score should you get for this sample/group (in #12)? D. Consider this scenario: A researcher investigates the political awareness of 100 participants who complete a Liberal vs Conservative Issues exam. She obtains a sample/group mean of 46 correct responses (for these 100 participants). For the population of people who have ever taken this exam, the mean is 43 and the standard deviation is 15 . 14. What z-score should you get for this sample/group? 15. What percentage of time can she expect to obtain a sample/group mean of 46 , or above, for samples of 100 people?

Answer: Non proportional

Step-by-step explanation:

To know if the values given are proportional or not, we will use the formula:

y = kx

where

y = number of organisms

x = number of minutes

k = constant of proportionality

After 5 minutes, a bacteria colony has 1.3 million organisms. Using the formula, y = kx

1,300,000 = 5k

k = 1,300,000 / 5

k = 260,000

After 12 minutes, the same colony has 41.5 million organisms. Using y= kx

41,500,000 = 12x

x = 41500000 / 12

x = 3458333.8

After 15 minutes, the colony has grown to 101.3 million organisms.

y = kx

101,300,000 = 15k

k = 101,300,000 / 15

k = 6753333.8

It is a non-proportional relationship as the constant of proportionality is different for each.

Answer:

27/50

Step-by-step explanation:

Hope this helps! Pls give brainliest!

Answer:

54/100 simplified is 27/50

The volume of the box will be 3136 cu. inches and the largest volume the box can be made of is also the same.

The amount of space occupied by a three-dimensional object as measured in cubic units.

The given square after getting folded turns into a box of 28*28*4 inches. The volume of the box can be determined by using the formula of volume of the cuboid.

Volume of the cuboid = 28*28*4

Volume of the cuboid  =3136 cu. inches

The largest volume that the box can have is 3136 cu. inches as when increasing the height, the length or the width will decrease and so does the volume.

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Mrs. Rodriguez sold 128.8 ounces of popcorn.We know that each bag of popcorn weighs 2.3 ounces. Therefore, to find out the total amount of popcorn Mrs. Rodriguez sold in 56 bags, we need to multiply 2.3 by 56. That is;2.3 × 56 = 128.8Therefore, there are 128.8 ounces of popcorn in 56 bags

We are given that Mrs. Rodriguez is selling popcorn at the snack stand. Each bag holds 2.3 ounces of popcorn. In one hour, she sold 56 bags of popcorn. Our task is to find out how many ounces of popcorn are in 56 bags.In order to find out how many ounces of popcorn are in 56 bags, we need to first find out the weight of one bag of popcorn. We are told that each bag holds 2.3 ounces of popcorn. So, we have:

Weight of one bag of popcorn = 2.3 ounces Now, we can use this information to calculate the total weight of popcorn Mrs. Rodriguez sold in 56 bags. To do this, we need to multiply the weight of one bag of popcorn (2.3 ounces) by the number of bags she sold (56). That is;Weight of 56 bags of popcorn = 2.3 × 56= 128.8Therefore, Mrs. Rodriguez sold 128.8 ounces of popcorn in one hour.

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Answer:

The Inverse Property of Addition states that \(a + (-a) = 0\): The sum of a real number and its additive inverse is zero, the additive module.

Step-by-step explanation:

From the Algebra of Real Numbers we know that the Inverse Property of Addition, also know as Existence of Additive Inverse states that for all real number \(u\) exist only a real number \(v\) so that:

\(u+v = 0\)

Where \(v = -u\) and \(0\) is also known as additive module.

Therefore, we can complete the phrase below:

The Inverse Property of Addition states that \(a + (-a) = 0\): The sum of a real number and its additive inverse is zero, the additive module.

Answer:

The Inverse Property of Addition states that : The sum of a real number and its additive inverse is zero, the additive module.

Step-by-step explanation:

ive done it!

u have to multiply both of the numbers

The procedure for approximating sampling distributions when the shape is unknown is the bootstrap method.

When theory cannot provide information about the shape of the sampling distribution, the bootstrap method is commonly used. The bootstrap is a resampling technique that allows us to estimate the sampling distribution by repeatedly sampling from the original data.

Here's how the bootstrap method works:

1. We start with a sample of data from the population of interest.

2. We randomly select observations from the sample, with replacement, to create a resampled dataset of the same size as the original sample.

3. We repeat this process numerous times, creating multiple resampled datasets.

4. With each resampled dataset, we calculate the statistic of interest (e.g., mean, median, standard deviation).

5. The distribution of these calculated statistics from the resampled datasets approximates the sampling distribution of the statistic.

By generating an empirical approximation of the sampling distribution through resampling, the bootstrap allows us to construct confidence intervals and make statistical inferences even when the underlying distribution is unknown or cannot be determined through theoretical means.

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X^2 + 9/4 is your answer

Hope this helps you

Answer:

u = 20, v = 1

Step-by-step explanation:

Here, we can assume that the triangles are congruent for the purposes of solving the problem. Because they are congruent, by the HL right triangle congruency theorem, the hypotenuse and leg of each triangle have to be the same.

Therefore:

\(v+23=u+4\\19v+41=2u+20\)

Now, you can simply solve the system of equations for v and u.

I will solve by substitution:

\(v+23=u+4\\v=u-19\)

Now, plug that into the other equation:

\(19(u-19)+41=2u+20\\19u-361+41=2u+20\\19u-320=2u+20\\17u-320=20\\17u=340\\u=20\)

Finally, plug that back into the first equation:

\(v+23=20+4\\v+23=24\\v=1\)

u = 20, v = 1

Answer:

1/4

Step-by-step explanation:

Espero que esto ayude a mí amiga

We need to prove that p→(p∧r) and ¬p∨r are logically equivalent.

Proof:

We know that:  p→q is logically equivalent to ¬p∨q

To prove that p→(p∧r) is logically equivalent to ¬p∨r, we need to convert the given statement p→(p∧r) into an equivalent statement in the form of p→q.

So, p→(p∧r) can be converted as: p→q ⇒ ¬p∨q

Step-by-step explanation:

In order to show that p→(p∧r) is equivalent to ¬p∨r, we will prove that p→(p∧r) is logically equivalent to ¬p∨r by checking whether they have the same truth values in all cases of p and r.

Table of truth:

p |r |p∧r |p→(p∧r) |¬p∨r
T |T |T |T |T
T |F |F |F |F
F |T |F |T |T
F |F |F |T |T

The two expressions have the same truth values in all cases. Therefore, we have proved that p→(p∧r) and ¬p∨r are logically equivalent.

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Using Distributive Property, the two expressions that is equal to 72 are

3(10+14) and 4(5+13).

What are expressions exactly?

In mathematics, expressions are mathematical claims that consist of at least two sentences that contain numbers, variables, or both, and are linked by an operator in between. The operations includes sum, Difference, multiplication, and division. For instance, x + y is an equation in which the words x and y are separated by an addition operator. In mathematics, there are two types of expressions: numerical expressions, which include only numbers, and algebraic expressions, which contain both numbers and variables.

Now,

The expressions using distributive property can be

3(10+14)=3*10+3*14

            =30+42

            =72

4(5+13)=4*5+4*13

            =20+52

           =72

Hence,

            the two expressions that is equal to 72 are 3(10+14) and 4(5+13).

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Answer:

3

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

180-96=84

(4x-10)+(4x-10)= 84

X=13

To determine whether a variable is discrete or continuous, you need to consider the nature and characteristics of the variable.

Here are some guidelines to help you make the distinction:

1. Discrete Variables:

- Discrete variables have a countable or finite number of possible values.

- The values of a discrete variable are often whole numbers or integers.

- Examples of discrete variables include the number of children in a family, the number of cars in a parking lot, or the number of customers in a store at a given time.

2. Continuous Variables:

- Continuous variables can take on any value within a certain range or interval.

- The values of a continuous variable can be infinitely divisible and can include decimal fractions.

- Examples of continuous variables include height, weight, time, temperature, or the amount of rainfall.

However, it's worth noting that some variables may fall in a gray area and can be considered both discrete and continuous depending on the context.

For example, age can be treated as a discrete variable when only whole numbers are considered (e.g., number of years), but it can be treated as continuous when fractional values (e.g., age in years and months) are considered.

When determining if a variable is discrete or continuous, it's important to consider the level of measurement and the nature of the values being observed. Discrete variables typically involve counts or distinct categories, while continuous variables involve measurements along a continuum.

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Answer: Circle

Step-by-step explanation:

Answer: Yes.

Step-by-step explanation:

600 x 0.41 or 41% = 246, which yes is different from 0.41.

(a) Using the given data, we can verify the calculations as follows: ∑x = 245, ∑x^2 = 14,755, ∑y = 224.

(b) To compute the sample mean, variance, and standard deviation for the percentage success of mallard duck nests (x), we use the formulas:

Sample Mean (x) = ∑x / n

Variance (s^2) = (∑x^2 - (n * x^2)) / (n - 1)

Standard Deviation (s) = √(s^2)

(c) Applying the formulas, we can compute the sample mean, variance, and standard deviation for x as follows:

Sample Mean (x) = 245 / 5 = 49

Variance (s^2) = (14,755 - (5 * 49^2)) / (5 - 1) = 4,285

Standard Deviation (s) = √(4,285) ≈ 65.5

Similarly, for the percentage success of Canada goose nests (y), the calculations can be done using the same formulas and the given values from part (a).

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Answer:

2219.4

Step-by-step explanation:

All you have to do is 6% of 36990 = 0.06 * 36990 = 2219.4

Por lo tanto, podemos decir que el número mínimo de tazos que Pablo puede tener es 63.

El problema que se plantea es un caso de congruencia modular. La solución más eficiente es usar el Teorema Chino del Resto, que afirma que si a_1, a_2, ..., a_k son números enteros no negativos y n, m_1, m_2, ..., m_k son números enteros mayores a cero que son coprimos entre sí (es decir, el máximo común divisor de m_i y m_j es 1 para todo i y j), entonces existe un único número x (modulo M=m_1m_2...*m_k) que satisface las congruencias:

x ≡ a_1 (mod m_1)

x ≡ a_2 (mod m_2)

...

x ≡ a_k (mod m_k)

En el caso de Pablo, aplicamos el teorema con a_1 = 5, m_1 = 7, a_2 = 5, m_2 = 8 y a_3 = 5, m_3 = 9. Luego, M = 7 * 8 * 9 = 504, y buscamos el menor x positivo tal que x ≡ 5 (mod 7), x ≡ 5 (mod 8) y x ≡ 5 (mod 9).

Para calcular el x que satisface la condición, es necesario encontrar los inversos modular de m_i y aplicar la fórmula del teorema. Sin embargo, en este caso es posible encontrar una solución de manera intuitiva, observando que el menor número positivo que es múltiplo de 7, 8 y 9 es 63. Por lo tanto, podemos decir que el número mínimo de tazos que Pablo puede tener es 63.

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Answer:

the square root of 10 is the answer becuase that = 3.16 and pi is 3.14

Step-by-step explanation:

True. Hexadecimal numbers are written using the base 16 number system, where digits range from 0 to 9 and A to F. They are commonly used in computer systems for concise representation and easy conversion to binary.

In the hexadecimal number system, there are 16 symbols used to represent values, namely 0-9 and A-F. Each digit in a hexadecimal number represents a multiple of a power of 16.

The symbols 0-9 represent the values 0-9, respectively. The symbols A-F represent the values 10-15, respectively, where A represents 10, B represents 11, C represents 12, D represents 13, E represents 14, and F represents 15.

For example, the hexadecimal number "3F" represents the value (3 * 16^1) + (15 * 16^0) = 48 + 15 = 63 in decimal.

Similarly, the hexadecimal number "AB8" represents the value (10 * 16^2) + (11 * 16^1) + (8 * 16^0) = 2560 + 176 + 8 = 2744 in decimal.

Hexadecimal numbers are commonly used in computer systems, as they provide a convenient way to represent large binary numbers concisely. Each hexadecimal digit corresponds to a four-bit binary number, allowing for easy conversion between binary and hexadecimal representations.

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Answer:

the answer is angle y = 54. ........

Answer:

y = 54

Step-by-step explanation:

Two of the sides are congruent, so the angles that are facing the two sides are also congruent, so:

3(x + 7) = 63

3x + 21 = 63

3x = 42

x = 14

A triangle equals 180 degrees,  and input 14 into the equation, so:

3(14 + 7) + 63 + y = 180

3(21) + 63 + y = 180

63 + 63 + y = 180

126 + y = 180

y = 54

The number of hours to operate the mines to minimize cost are Mine 1 hour = 25 hours and Mine 2 hour = 10 hours

The given parameters can be represented using the following table of values

                               Mine 1 (x)              Mine 2 (y)   Available

Regular grade          5                            20             325

Low grade               18                             9              540

Operating cost      16000                     12000

Time                        37                                34

From the table, we understand that we are to minimize cost

This means that:

Objective function: C = 16000x + 12000y

Subject to:

5x + 20y >= 325

18x + 9y >= 540

Next, we plot the constraints on a graph (see attachment)

From the graph, we have

(x, y) = (25, 10)

This means that

Mine 1 hour = 25 hours

Mine 2 hour = 10 hours

Hence, the number of hours to operate the mines to minimize cost are Mine 1 hour = 25 hours and Mine 2 hour = 10 hours

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1.  x² - 5x - 16 can be written as (x - 8)(x + 2).

2. 6an² - 3b²n² = n²(6a - 3b²).

3. This expression represents a perfect square trinomial, which can be factored as (2x - y)².

4. Combining like terms, we get -n³ - n² + n + 1 = -(n³ + n² - n - 1).

5. 17x³y⁴z⁶ = (x²y²z³)².

6. 12a²b³ = (2a)(6b³) = 12a6b³ = 12a⁷b³x⁶.

Let's simplify the given expressions:

Simplifying x² - 5x - 16:

To factorize this quadratic expression, we look for two numbers whose product is equal to -16 and whose sum is equal to -5. The numbers are -8 and 2.

Therefore, x² - 5x - 16 can be written as (x - 8)(x + 2).

Simplifying 6an² - 3b²n²:

To simplify this expression, we can factor out the common term n² from both terms:

6an² - 3b²n² = n²(6a - 3b²).

Simplifying 4x² - 4xy + y²:

This expression represents a perfect square trinomial, which can be factored as (2x - y)².

Simplifying n + 1 - n³ - n²:

Rearranging the terms, we have -n³ - n² + n + 1.

Combining like terms, we get -n³ - n² + n + 1 = -(n³ + n² - n - 1).

Simplifying 17x³y⁴z⁶:

To simplify this expression, we can divide each exponent by 2 to simplify it as much as possible:

17x³y⁴z⁶ = (x²y²z³)².

Simplifying 12a²b³:

To simplify this expression, we can multiply the exponents of a and b with the given expression:

12a²b³ = (2a)(6b³) = 12a6b³ = 12a⁷b³x⁶.

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