The distribution of salaries in the US is strongly right-skewed. The central limit theorem says
which of the following?
(A) As we look at more and more salaries, the mean salary of our sample will get close to the mean for all
salaries in our population.
(B) The mean salary for any number of people has a strongly right skewed distribution.
(C) The mean salary for any number of people has an approximately normal distribution.
(D) The mean salary for a large number of people has a strongly right skewed distribution.
(E) The mean salary for a large number of people has an approximately normal distribution.

I hope this helps you...

They support an increase in the state sales tax from 5% to 6%, with the additional revenue going to education. Let denote the proportion of adults in the sample who say they support the increase. Suppose that 40% of all adults in Ohio support the increase. the correct answer is (d) 0.40.

Mean is nothing but the average of the given set of values. It denotes the equal distribution of values for a given data

set.  The mean, median and mode are the three commonly used measures of central tendency.

To calculate the mean, we need to add the total values given in a datasheet and divide the sum by the total number of

values.

The mean, μ, of the sampling distribution of p can be found using the formula

μ = p,

where p is the proportion of adults in the entire population who support the increase.

In this case, 40% of all adults in Ohio support the increase, so p = 0.40.

Therefore, the mean of the sampling distribution of p is:

μ = 0.40

So the correct answer is (d) 0.40.

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2x and 72

Step-by-step explanation:

pls don't use this I don't want you to get a bad grade if it is wrong

Answer: 4x+24

Step-by-step explanation: 8x+40-4x-16

Answer:

False.

Step-by-step explanation:

Cause yes. im bad at explaining.

Answer:

En la imagen te la dejo jajaa

Answer:  6.33 cups of flour

Step-by-step explanation:

The ratio of cups of cashews to cups of flour is 4:5.  We can set this as a ratio:  (4 cups cashews)/(5 cups flour).

If we have 3 cups of cashews, we can multiply by uasing the inverse of the above ratio:  (5 cups fluor)/(4 cups cashews)

(3 cups cashews)*((5 cups fluor)/(4 cups cashews) = (15/4)*( cups fluor) = 3.75 cuops of fluor.

Given:

The expression is

\(-9xy^2z\)

To find:

The coefficient of x in the given expression.

Solution:

Coefficient of a variable is the product of a number and other variables multiplying the variable in an algebraic expression.

In the given expression the number and variables other than x are -9, y² and z.

So, coefficient of x is

\(-9\times y^2\times z=-9y^2z\)

Therefore, the correct option is (d).

Equilibrium occurs when the forward and reverse reactions take place at a constant rate in a closed system at a constant temperature.

Equilibrium in a chemical reaction refers to a state where the forward and reverse reactions occur at the same rate, resulting in no net change in the concentrations of reactants and products over time. This state is achieved in a closed system, meaning no reactants or products can enter or leave the system during the reaction. Additionally, the system must be at a constant temperature for equilibrium to be reached.

At equilibrium, the rate of the forward reaction is equal to the rate of the reverse reaction. Initially, as the reactants undergo the forward reaction, the concentration of products increases while the concentration of reactants decreases. Simultaneously, as the products react in the reverse direction, the concentration of reactants increases while the concentration of products decreases. As the system progresses, the rates of both reactions gradually decrease until they reach a point where they are equal. This balanced state is called dynamic equilibrium, as the reactions continue to occur, but with no overall change in the concentration of species. It's important to note that while the concentrations remain constant at equilibrium, the reactions themselves do not stop; they are simply occurring at an equal rate.

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Answer:

You infer that mean weight of catfusf in the lake is close to 2.2lbs

Step-by-step explanation:

Because it's a random sample of 50.

Answer:

x = ± 5

Step-by-step explanation:

x² - 25 = 0 ( add 25 to both sides )

x² = 25 ( take the square root of both sides )

x = ± \(\sqrt{25}\) = ± 5

solutions are x = - 5 , x = 5

Answer:Utilities and Groceries

Step-by-step explanation:Variable expenses are defined as such because the amount you spend may vary each month. Although variable costs are quite often discretionary expenses, some may be necessities. Buying gas for your car each month is a variable expense, as are car repairs and maintenance. Grocery shopping is also a variable expense.

Answer:

d

Step-by-step explanation:

Given: A car rental company has 468 cars on their lot. They can rent all 468 cars at a rate of $46 per day. They determine that for every $1 increase in the rental cost, they will rent 3 fewer cars. We have to find the car rental rate that will maximize revenue for the company.

Let's start the solution, Let x be the increase in the rental cost Let the original rate be R1=46The rental rate for x is R2=R1+xLet C1 be the cars rented at R1 and C2 be the cars rented at R2C1 = 468C2 = 468 - 3xFrom the given information, it is known that revenue is the product of the rental rate and the number of cars rentedRevenue1 = C1 * R1Revenue2 = C2 * R2Maximize the revenue equation,

We have to take its derivative, Equation of Revenue for C1 = R1 * C1 and Revenue for C2 = R2 * C2So,Revenue equation: R(x) = (468 - 3x)(46 + x)R(x) = 21468 + 115x - 3x^2Revenue'(x) = -6x + 115Differentiating the equation with respect to x Revenue'(x) = 0-6x + 115 = 0x = 19.166R2 = R1 + x = 46 + 19.166R2 = $65.166Thus, the car rental rate that will maximize revenue for the company is $65.166.

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To calculate the reliability of the bank loan processing system with backup components, we can use the concept of series-parallel system reliability.

In the original system, the three components are connected in series. To calculate the overall reliability of the system, we multiply the reliabilities of the individual components:

R_system = R_1 * R_2 * R_3 = 0.82 * 0.991 * 0.98 ≈ 0.801

So, the reliability of the bank loan processing system without backup components is approximately 0.801.

Now, if each of the three components has a backup with a reliability of 0.80, we have a parallel configuration between the original components and their backups. In a parallel system, the overall reliability is calculated as 1 minus the product of the complement of individual reliabilities.

Let's calculate the reliability of each component with the backup:

R_1_with_backup = 1 - (1 - R_1) * (1 - 0.80) = 1 - (1 - 0.82) * (1 - 0.80) ≈ 0.984

R_2_with_backup = 1 - (1 - R_2) * (1 - 0.80) = 1 - (1 - 0.991) * (1 - 0.80) ≈ 0.9988

R_3_with_backup = 1 - (1 - R_3) * (1 - 0.80) = 1 - (1 - 0.98) * (1 - 0.80) ≈ 0.9992

Now, we calculate the overall reliability of the system with the backups:

R_system_with_backup = R_1_with_backup * R_2_with_backup * R_3_with_backup ≈ 0.984 * 0.9988 * 0.9992 ≈ 0.981

Therefore, the reliability of the bank loan processing system with backup components is approximately 0.981.

Comparing the two scenarios, we can see that introducing backup components with a reliability of 0.80 has improved the overall reliability of the system. The total reliability increased from 0.801 (without backups) to 0.981 (with backups). Having backup components in a parallel configuration provides redundancy and increases the system's ability to withstand failures, resulting in higher reliability.

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The statements provided can be rewritten as follows: 1. If n is an odd integer, then there exist integers a and b such that n = a^2 - b^2. 2. n is an odd integer if and only if 3n + 5 is of the form 6k + 8 for some integer k. 3. n is an even integer if and only if 3n + 2 is of the form 6k + 2 for some integer k.

Let's analyze these statements:

1. If n is an odd integer, then there exist integers a and b such that n = a^2 - b^2.

  This statement is true and can be proven using the concept of the difference of squares. For any odd integer n, we can express it as the difference of two perfect squares: n = (a + b)(a - b), where a and b are integers. This shows that n can be written as the difference of two squares.

2. n is an odd integer if and only if 3n + 5 is of the form 6k + 8 for some integer k.

  This statement is not true. Consider the counterexample where n = 1. In this case, 3n + 5 = 8, which is not of the form 6k + 8 for any integer k.

3. n is an even integer if and only if 3n + 2 is of the form 6k + 2 for some integer k.

  This statement is true. For any even integer n, we can express it as n = 2k, where k is an integer. Substituting this into the given equation, we get 3n + 2 = 3(2k) + 2 = 6k + 2, which is of the form 6k + 2.

In conclusion, statement 1 is true, statement 2 is false, and statement 3 is true.

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The solution to the linear system is unique solution which is  x₁ = 1/6, x₂ = 3/2, and x₃ = 17/6.

The correct answer is option  A.

To solve the given system of linear equations using elementary row operations and back substitution, let's start by representing the augmented coefficient matrix:

[1  -4  5  |  23]

[2   1   1  |  10]

[-3  2  -3 |  -23]

We'll apply row operations to transform this matrix into echelon form:

1. Multiply Row 2 by -2 and add it to Row 1:

[1  -4   5   |  23]

[0   9   -9  |  -6]

[-3  2  -3  |  -23]

2. Multiply Row 3 by 3 and add it to Row 1:

[1  -4  5   |  23]

[0   9  -9  |  -6]

[0   -10 6  |  -68]

3. Multiply Row 2 by 10/9:

[1  -4  5    |  23]

[0   1   -1   |  -2/3]

[0   -10 6  |  -68]

4. Multiply Row 2 by 4 and add it to Row 1:

[1  0   1   |  5/3]

[0  1   -1  |  -2/3]

[0  -10 6  |  -68]

5. Multiply Row 2 by 10 and add it to Row 3:

[1  0   1   |  5/3]

[0  1   -1  |  -2/3]

[0  0   -4  |  -34/3]

Now, we have the augmented coefficient matrix in echelon form. Let's solve the system using back substitution:

From Row 3, we can deduce that -4x₃ = -34/3, which simplifies to x₃ = 34/12 = 17/6.

From Row 2, we can substitute the value of x₃ and find that x₂ - x₃ = -2/3, which becomes x₂ - (17/6) = -2/3. Simplifying, we get x₂ = 17/6 - 2/3 = 9/6 = 3/2.

From Row 1, we can substitute the values of x₂ and x₃ and find that x₁ + x₂ = 5/3, which becomes x₁ + 3/2 = 5/3. Simplifying, we get x₁ = 5/3 - 3/2 = 10/6 - 9/6 = 1/6.

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The bases of a pentagonal prism are two identical pentagons. It features five rectangle-shaped faces. The prism has ten vertices and fifteen edges.

A pentagonal prism is a prism with five rectangular sides and two top and bottom pentagonal bases. With 7 faces, 10 vertices, and 15 edges, it is a particular form of heptahedron. A pentagonal prism can have five sides due to its pentagonal bases. The pentagonal prism is also called Five-sided polygon prism in other name.

The pentagonal prism is a prism with five rectangular sides and two pentagonal base

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Answer:

The bases of a pentagonal prism are two identical pentagons. It features five rectangle-shaped faces. The prism has ten vertices and fifteen edges.

Step-by-step explanation:

hope this helped!

Step-by-step explanation:

2 1/3

=2*3+1/3

=7/3

Answer:

Step-by-step explanation:

Triangle MNP is a right triangle with the following values:

Interior angles of a triangle sum to 180°. Therefore:

m∠M + m∠N + m∠P = 180°

m∠M + 58° + 90° = 180°

m∠M + 148° = 180°

m∠M = 32°

To find the measures of sides MN and NP, use the Law of Sines:

\(\boxed{\begin{minipage}{7.6 cm}\underline{Law of Sines} \\\\$\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}$\\\\\\where:\\ \phantom{ww}$\bullet$ $A, B$ and $C$ are the angles. \\ \phantom{ww}$\bullet$ $a, b$ and $c$ are the sides opposite the angles.\\\end{minipage}}\)

Substitute the values into the formula:

\(\dfrac{MN}{\sin P}=\dfrac{NP}{\sin M}=\dfrac{PM}{\sin N}\)

\(\dfrac{MN}{\sin 90^{\circ}}=\dfrac{NP}{\sin 32^{\circ}}=\dfrac{8}{\sin 58^{\circ}}\)

Therefore:

\(MN=\dfrac{8\sin 90^{\circ}}{\sin 58^{\circ}}=9.43342722...\)

\(NP=\dfrac{8\sin 32^{\circ}}{\sin 58^{\circ}}=4.99895481...\)

To find the perimeter of triangle MNP, sum the lengths of the sides.

\(\begin{aligned}\textsf{Perimeter}&=MN+NP+PM\\&=9.43342722...+4.99895481...+8\\&=22.4323820...\\&=22.43\; \sf units\; (2\;d.p.)\end{aligned}\)

52

hope it helps and give brainliest if my answer helps...

Answer:

c.44

Step-by-step explanation:

when x= 8 => f(8) = 6.8-4 =44

A plane intersects a cylinder perpendicular to its bases this cross section can be described as a rectangle. Therefore, the correct answer is option 1).

The cross section of a plane intersecting a cylinder perpendicular to its bases is a rectangle. This is because when a plane intersects a cylinder perpendicularly (at right angles) the cross-section area has the shape of a rectangle. The base of the rectangle is determined by the diameter of the cylinder and the height is determined by the length of the cylinder.

A parabola, triangle, and circle are not possible when the plane intersects the cylinder perpendicularly since their shapes cannot accurately represent the intersection of two geometric shapes.

Therefore, the correct answer is option 1).

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Answer:

60%

Step-by-step explanation:

\(a(1) = 240 \\ a(2) = a(1) + d = 240 + 24 = 264 \\ a(3) = a(2) + d = 264 + 24 = 288 \\ a(4) = a(3) + d = 288 + 24 = 312 \\ a(5) = a(4) + d = 312 + 24 = 336 \\ a(6) = a(5) + d = 336 + 24 = 360\)

Answer:

failure is a step towards success!!

don't get urself drowned,,,,just get over it❤️

Answer:

C

Step-by-step explanation:

∠ SVW = ∠ TWX = 84° ( corresponding angles are congruent )

∠ UVY = ∠ SVW = 84° ( vertical angles are congruent )

Answer:

See image below

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Answer: 12 + 21y

Step-by-step explanation:

Answer:

12 + 21y

Step-by-step explanation: