to estimate a population mean, the sample size needed to provide a margin of error of 2 or less with a .95 probability when the population standard deviation equals 11 is'

Answer:

=

−

7

3

=

−

7

Step-by-step explanation:

=

−

±

2

−

4

√

2

x={b}}^{2}-4{a}}{2{a}}}

x=2a−b±b2−4ac​​

Once in standard form, identify a, b, and c from the original equation and plug them into the quadratic formula.

3

2

+

2

8

+

4

9

=

0

3x^{2}+28x+49=0

3x2+28x+49=0

=

3

a={3}}

a=3

=

2

8

b={28}}

b=28

=

4

9

c={129}{49}}

c=49

=

−

2

8

±

2

8

2

−

4

⋅

3

⋅

4

9

√

2

⋅

3

=

−

2

8

±

1

4 over

6

=

−

2

8

+

1

4

6

x={-28+14}{6}

x=6−28+14​

=

−

2

8

−

1

4

=

−

7

3

x=-{7}{3}

x=−37​

=

−

7

=

−

7

3

=

−

7

One kilogram of mushrooms costs $2.90, whereas one kilogram of turnips costs $1.10.

An expression that describes the relationship between two or more numbers and variables is called an equation.

Dependent and independent variables are the two different categories. A dependent variable depends on another variable, whereas an independent variable does not depend on other variables.

Let x stand in for the price per kilogram of mushrooms, and y for the price per kilogram of turnips.

2 kg of mushrooms and 2.5 kg of turnips are priced at £8.55.

2x + 2.5y = 8.55  ________(1)

3 kg of mushrooms and 4 kg of turnips are priced at £13.10.

3x + 4y = 13.10   ________(2)

From both equations:

x = 2.9, y = 1.1

A kg of mushrooms costs $2.90, whereas a kg of turnips costs $1.10.

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1. The variance of the distribution of means option A) 15/20 = 0.75

2.  The decision that counselor  should make regarding the null hypothesis is that: option "Fail to reject it"

3. The effect of the  size is: option c:  (5 − 4.4)/.85 = .71

Note that:

Sample size =  20.

Note that for us to be able to get the answer in question one, we have to divide the unbiased estimate for the population variance by the use of  20 so that we can be able to get our unbiased estimate for the variance: And as such;

15/20 = 0.75.

The term fail to reject implies that  the null hypothesis is one that has not been disproven or wrong and therefore the use of the term "failure to reject." It is one that should not be taken with acceptance.

Therefore, 1. The variance of the distribution of means option A) 15/20 = 0.75

2.  The decision that counselor  should make regarding the null hypothesis is that: option "Fail to reject it"

3. The effect of the  size is: option c:  (5 − 4.4)/.85 = .71

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Answer:

12

Step-by-step explanation: You start in Kansas City, you have 3 options to chose from to go to Blue Springs. Then you have 4 more choices to chose from to go to Grain Valley. So you have 3 routes to chose then 4 so multiply those together. So you get 12

Answer: To solve for x and y, divide both of the numbers in the equation ONLY by the variable

Step-by-step explanation:

an example, 3y - 9, divide 3y and 9 by 3 the answer would be "y=3"

Answer:

The equation of line is as follows:

Slope-intercept form: \(y = 7x-5\)

Standard Form: \(-7x+y = -5\)

Step-by-step explanation:

Given that

Slope of line: 7

Point : (1,2)

Slope-intercept form of equation of line is given by:

\(y = mx+b\)

Here m is the slope and b is y-intercept.

Putting the value of slope

\(y = 7x+b\)

To find the value of b, we have to put the point in the equation

\(2 = 7(1) +b\\2 = 7+b\\2-7 = b\\b = -5\)

So the equation will be:

\(y=7x-5\)

The standard form of equation of line is:

\(Ax+By = C\)

To convert the equation in standard form, subtracting 7x from both sides

\(y-7x = 7x-5-7x\\-7x+y = -5\)

Hence, the equation of line is as follows:

Slope-intercept form: \(y = 7x-5\)

Standard Form: \(-7x+y = -5\)

The equation of a line in slope-intercept and standard form through (1, 2), slope = 7 is  7x - y = 5.

To find the equation of a line in slope-intercept and standard form.

First, we can write the equation in point-slope form. The point-slope formula states:

(y − y₁) = m (x − x₁)

Where m is the slope and

(x1, y1) is a point the line passes through.

Substituting the values from the problem gives:

(y − 2) = 7(x − 1)

Now, we need to convert to standard form.

The standard form of a linear equation is:

Ax + By = C

where, if at all possible,

A, B, and C are integers, and A is non-negative, and, A, B, and C have no common factors other than 1

We convert as follows:

y − 2 = (7 × x) − (7 × 1)

y − 2 = 7x − 7

−7x + y − 2  = − 7

Adding 2 in both side.

−7x + y − 2 + 2 = − 7 +2

-7x + y = -5

7x - y = 5

Therefore,  the equation of a line in slope-intercept and standard form is 7x - y = 5.

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The correct statement is: E. All of the above are incorrect.

Statement A is incorrect because the basic standard deduction for 2021 is $12,550 for single filers, not $15,350.

Statement B is incorrect because the gross income threshold for filing a separate tax return (MFS) in 2021 is $5, as opposed to the basic standard deduction for MFS.

Statement C is incorrect because a non-refundable tax credit directly reduces the amount of tax owed, whereas a deduction for AGI reduces taxable income before calculating the tax liability. Therefore, a non-refundable tax credit is generally more valuable than a deduction for AGI.

Statement D is incorrect because a greater deduction from AGI does not necessarily lead to a greater deduction for AGI. Deductions from AGI reduce taxable income, while deductions for AGI are claimed before calculating AGI.

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Answer:

x = ±2.24

Step-by-step explanation:

16x² - 80 = 0

16x² = 80 (Add 80)

x² = 5 (Divide by 16)

x = ±√5 (Square root both sides)

≈ 2.24, -2.24

Answer:

x = −2.24 and x = 2.24

Step-by-step explanation:

To solve, you can use the quadratic formula.

The guy above is correct.

Hope this helps!

Answer:

3 mi and \(\dfrac{4}{3}\) mi, 1 mi and 4 mi

Step-by-step explanation:

Length of one of rectangles = x

Breadth of one of the rectangles = y

Total enclosed area = \(8\ \text{mi}^2\)

Fence available = 16 miles

Total area is given by

\(2xy=8\\\Rightarrow y=\dfrac{4}{x}\)

Perimeter of the fence

\(2\times 2x+3y=16\\\Rightarrow 4x+3y=16\\\Rightarrow 4x+3\dfrac{4}{x}=16\\\Rightarrow 4x+\dfrac{12}{x}=16\\\Rightarrow 4x^2-16x+12=0\\\Rightarrow x=\frac{-\left(-16\right)\pm \sqrt{\left(-16\right)^2-4\times \:4\times \:12}}{2\times \:4}\\\Rightarrow x=3,1\)

If \(x=3\)

\(y=\dfrac{4}{x}=\dfrac{4}{3}\)

If \(x=1\)

\(y=\dfrac{4}{x}=4\)

The possible values of length and breadth are 3 mi and \(\dfrac{4}{3}\) mi, 1 mi and 4 mi respectively.

Answer:

a= (x+1)/3=2

b=3x=5

True. In 2016, the percentage of the ageing population (55 years or older) in state prisons surpassed the percentage of people aged 18-24 for the first time.

This trend reflects the overall growth of the ageing population within the United States and is a result of various factors such as longer life expectancy, harsher sentencing laws, and an increase in older individuals being convicted of crimes.
As the ageing population in state prisons continues to grow, it poses several challenges for the correctional system. These challenges include providing appropriate healthcare and accommodations for older inmates and addressing the specific needs of this population, such as mobility assistance and specialized medical care.
In conclusion, the shift in the age demographics of state prisons has significant implications for the management and administration of correctional facilities. It is crucial to address the unique needs of the ageing population within these institutions and adapt policies and practices accordingly to ensure the well-being and fair treatment of all inmates, regardless of their age.

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The formula for an exponential function is y = 45/8x + 57/8.

Here we have to find the formula for an exponential function that passes through the points.

Given data:

The two points are (-1, 3/2) and (3, 24).

We need to find the slope of the line. So,

Slope(m) = (y2 - y1) / (x2 - x1)

m = (24 - 3/2) / ( 3+ 1)

   = 45/ 8

The general equation of a line:

y = mx + c

Now putting the value of x and y as -1 and 3/2 and m = 45/8.

3/2 = -1 × 45/8 + c

c = 57/8

Now we get the equation:

y = 45/8x + 57/8

Therefore the equation is y = 45/8x + 57/8.

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The derivative of a function is a measure of how much the function changes with respect to its input. An alternate form of the definition of a derivative is based on the concept of limits.

If f(x) is a function, then the derivative of f(x) at a point x=a is defined as the limit of the difference quotient (f(x)-f(a))/(x-a) as x approaches a. Geometrically, this corresponds to the slope of the tangent line to the graph of f(x) at x=a. The derivative provides important information about the behavior of the function, such as the location of maximum and minimum values and the concavity of the curve.

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Answer:

a=18

Step-by-step explanation:

-2a-10+a=-28

-1a-10=-28

+10 +10

-1a=-18

divide by -1

a=18

Answer:

there are 29 south american birds

Step-by-step explanation:

58×1/2= 29

The surveyor is interested in learning additional information about a segment of the general population. Numerous research projects call for particular interest groups to make decisions in light of their findings. This group of individuals is referred to as a sample.

What Exactly Is a Sample?

An easier-to-manage portion of a bigger group is referred to as a sample. It is a subset of individuals that shares traits with a wider population.

                                 In statistical testing, samples are utilized when population sizes are too vast for all potential participants or observations to be included in the test.

What does a research sample mean?

Sampling is the process of choosing a portion of the target population for a research project.

                                 In the vast majority of research projects, it is impossible to recruit the involvement of the entire population of interest, hence data gathering depends on a smaller group.

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Answer:

3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Lets start by solving what is in the parenthesis.

3^8 ÷  3^3

(6561  ÷  27) = 243

Lets finish solving the equation now that we have the quotient of what's in the parenthesis.

243 ÷  3^4

243 ÷  81

243 ÷  81 = 3

The minimum wage set by the government at $7.50 per hour does not result in a pay cut for unskilled workers, as it is below the equilibrium wage of $8.00 per hour.

The wage rate remains unchanged, and the labor market remains in balance.

The statement is false.

False.

The equilibrium wage in the market for unskilled labor is $8.00 per hour, which means that the market naturally sets the wage rate at this level, based on the forces of supply and demand.

The government then sets a minimum wage at $7.50 per hour.

Since the minimum wage is below the equilibrium wage, it does not directly impact the wage rate for unskilled workers.
The equilibrium wage represents the point at which the supply of labor (the number of workers willing to work at a given wage) equals the demand for labor (the number of workers that employers are willing to hire at a given wage).

In this case, both workers and employers are satisfied with the $8.00 per hour wage, and the labor market is balanced.
The government sets a minimum wage below the equilibrium wage, it essentially sets a wage floor that is not binding. Employers are still willing to pay the equilibrium wage of $8.00 per hour, and workers are still willing to accept this wage.

The wage for unskilled workers remains at $8.00 per hour, and there is no pay cut of 50 cents per hour.

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The solution is, Our required inequality would be (8x - 4) > 16.

An inequality is a relation which makes a non-equal comparison between two numbers or mathematical expressions.

here, we have,

Let the number be 'x'.

Eight times a number is expressed as

8x

Sum of eight times a number and negative four is expressed as

8x - 4

the above exceeds 16 is expressed as

8x - 4 > 16

Hence, our required inequality would be (8x - 4) > 16

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25x + 45y ≤ 1,200

25x representing how much Richie would get paid in total (x representing the hours), 45y representing how much Justin would get paid in total (y representing the hours), ≤ representing less than or equal to, 1,200 is the greatest amount that Kirk can pay.

Answer:

\( A(\triangle ABC) =17.5 \: {units}^{2} \)

Step-by-step explanation:

AB = 4 - (-3) = 4 + 3 = 7 units

BC = 3 - (-2) = 3 + 2 = 5 units

\(A(\triangle ABC) = \frac{1}{2} \times AB\times BC \\ \\ A(\triangle ABC) = \frac{1}{2} \times 7\times 5 \\ \\ A(\triangle ABC) = \frac{1}{2} \times 35 \\ \\ A(\triangle ABC) =17.5 \: {units}^{2} \)

Answer:

108

Step-by-step explanation:

36 inches in a yard

12 inches in 1 foot, 3 feet in 1 yard.

12 * 3 = 36, 36 * 3 = 108

108 inches in 3 yards

Hope this helps!

Answer:

you would pay 2.38 sales tax for a 34 dollar pair of pants

Step-by-step explanation:

Answer:

The Clubhouse and the Swimming Pool

Step-by-step explanation:

If you look closely the points are on the buildings. The X axis is left to right.

The Clubhouses coordinate is (12,12) but the Swimming Pools coordinates is (8,12). They have the same X-Axis

Answer:

club house and swimming pool

Step-by-step explanation:

club house and swimming pool both have an x-coordinate of 12.

Answer:

The truck will have to carry the sand on two trip.

Step-by-step explanation:

Applying,

V = lwh................ Equation 1

Where V = volume of the box truck, l = length of the box truck, h = height of the box truck, w = width of the box truck.

From the question,

Given: l = 1 m, w = 2m, h = 4 m

Substitute into equation 1

V = 1×2×4

v = 8 m³

Since the volume of the box truck is 8 m³, the truck would carry a 9 m³ sand by runing two trip.

First trip: The truck will carry 8 m³ sand

Second trip: The truck will carry the remaining 1 m³ sand

Answer:

x = 25 degrees

y = 80 degrees

Step-by-step explanation:

Since this is a parallelogram, opposite angles are congruent.  So, 4x = 100 or x = 25.  Consecutive angles are supplementary, so y + 100 = 180 or y = 80

Answer:

Step-by-step explanation:

\((2x -3)(x-1) = 2x(x-1) -3(x-1)\)

                     \(=2x^2 -2x -3x +3\\= 2x^2 - 5x + 3\)

Answer:

Smaller Number=4, Larger Number=11

Step-by-step explanation:

I just guessed and checked

Answer: here it is 14f-30-15e