h(x)=x-4 Determine whether it is in the domain of h or not.

The appropriate sample size formula on the TI-84 calculator, you can determine the sample size needed to achieve your desired margin of error for estimating population parameters.

To find the sample size with a desired margin of error on a TI-84 calculator, you can use the following steps:

1. Determine the desired margin of error: Decide on the maximum allowable difference between the sample estimate and the true population parameter. For example, if you want a margin of error of ±2%, your desired margin of error would be 0.02.

2. Determine the confidence level: Choose the desired level of confidence for your interval estimate. Common choices include 90%, 95%, or 99%.

Convert the confidence level to a corresponding z-score. For instance, a 95% confidence level corresponds to a z-score of approximately 1.96.

3. Calculate the estimated standard deviation: If you have an estimate of the population standard deviation, use that value. Otherwise, you can use a conservative estimate or a pilot study's standard deviation as a substitute.

4. Use the formula: The sample size formula for estimating a population mean is n = (z^2 * s^2) / E^2, where n represents the sample size, z is the z-score, s is the estimated standard deviation, and E is the desired margin of error.

5. Plug in the values: Input the values of the z-score, estimated standard deviation, and desired margin of error into the formula. Use parentheses and proper order of operations to ensure accurate calculations.

6. Calculate the sample size: Perform the calculations using the calculator, making sure to include the appropriate multiplication and division symbols. The result will be the recommended sample size to achieve the desired margin of error.

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Answer:

Try and start at the line?

Step-by-step explanation:

Answer:

3\(\sqrt{2}\) units

Step-by-step explanation:

Given parameters:

    Coordinates = (-6,6) and (-3,3)

Unknown:

The distance between them = ?

Solution:

To find the distance between two points, we use the expression below;

    D  = \(\sqrt{(x_{2} - x_{1})^{2} + (y_{2} - y_{1})^{2} }\)

    x₁ = -6    x₂ = -3

   y₁ = 6       y₂ = 3

    D = \(\sqrt{(-3 -(-6))^{2} + (3-6)^{2} }\)   = \(\sqrt{18}\)

    D = 3\(\sqrt{2}\) units

69 Ways___________________________

Answer:

3,628,800

Step-by-step explanation:

10 x 9 x 8 x 7 x 6 x 5 x   4 x 3 x 2 x 1

              By using the factorial function we can interpret all the ways that the shoes can be arranged.

               *The factorial function (symbol: !) says to multiply all whole numbers from our chosen number down to 1.

Answer:

1) Tendrian 15 platos en total, porque si cada uno trajo 3,  3*5 es 15 entonces van a ver 15 platos.

2) SI tienes 50 pelotas y cada persona tiene 2 tendrias que juntar 25 personas para repartir las pelotas, porque 50/2 es 25 asi que ocuparias 25 amigos.

The distance from the base of the tree from the swing sets is 15 ft

The situation forms a right angle triangle.

The opposite side of the triangle formed is the distance of Emir from the ground.

Therefore, the distance from the base of the tree from the swing sets is the adjacent side of the triangle.

Hence,

tan 33.69 = opposite / adjacent

tan 33.69 = 10 / x

x = 10 / tan 33.69

x = 10 / 0.66666496431

x = 10 / 0.66666496431

x = 15.0000038265

x = 15 ft

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Constraints are restrictions that limit the settings of the decision variables in a linear programming model.

Constraints in a linear programming model are restrictions that limit the settings of the decision variables, which are input variables that can be controlled during optimization.

These decision variables are often defined by specific quantities to be maximized or minimized in the model.

Therefore, constraints are a group of answer choices or restrictions that must be considered when developing a mathematical model to optimize certain variables or quantities.

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Consumption of Bananas per year = 5, 250, 000 metric tons

We know 1000 kg = 1 metric ton, so

Consumption of Bananas per year (in kg) = 5, 250, 000 x 1000 = 5, 250, 000, 000 kgs

Cost of Banana = $2.10 per kg

So,

Cost of all bananas = 5, 250, 000, 000 x 2.10 = $ 11,025,000,000 (per year)

Taking a year to be 365 days, let's find the cost for a day:

Since there are 317 million [317,000,000] people in the US, the cost per person every day is:

Rounding to the nearest cent,

Answer:

A: \(y=3x+12\)

Step-by-step explanation:

To start we need to know what makes lines perpendicular. Two perpendicular lines will have opposite-reciprocal slopes, because we know that they intersect at a right angle.

Then, we need to understand the slope-intercept form of an equation. The slope intercept form is \(y=mx+b\) where \(m\) is the slope of the line and \(b\) is the y-intercept. We also know that \(x\) and \(y\) represent points on the line.

Now, since our equation is already in the correct form, we can start with finding the opposite reciprocal of the slope. To do this, all we have to do is flip the fraction upside down and multiply by -1. This means that the opposite reciprocal of \(-\frac{1}{3}\)  would be \(\frac{3}{1}\) which can be written as \(3\).

Now, since we have a list of options and only one has the correct slope, we can safely choose option A.

Answer: 9/4

Step-by-step explanation:

if you were to cover the whole wall you would need 9/4 gallons.

3/4x3/1

The original price of the salt lapm os $80.

Let's assume that the original price of the salt lamp is P, if we apply a discount of x (a percentage in decimal form) then the new price will be:

P' = P*(1 - x)

Here we know that the discount is of 25%, then x = 0.25

And the final price is $60, then we can write:

$60 = P*(1 - 0.25)

Now we can solve this for P.

$60 = P*0.75

$60/0.75 = P

$80 = P

That is the original price.

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Answer:

B,C, and E

Step-by-step explanation:

Multiply the stuff inside by the numbers outside

Answer:

B), C), E)

Step-by-step explanation:

Answer:

(PQ)2 + (QR)2 = (PR)2, because 9 + 16 = 25

Step-by-step explanation:

Answer:

(PQ)2 + (QR)2 = (PR)2, because 9 + 16 = 25

Step-by-step explanation:

Answer:

Step-by-step explanation:

a³  +b³ + c³ - 3abc =(a +  b + c)(a² + b² + c² - [ab+bc+ac] )

                              =  9 (a² + b² + c²- 23)

This will cause the center of gravity to mov aft, which could potentially affect the stability and controllability of the airplane.

To determine the effect of a 35-gallon fuel burn on the weight and balance of an airplane, we need to calculate the weight and moment changes and then adjust the total weight and moment accordingly.

Assuming that the weight of fuel is 6 pounds per gallon, 35 gallons of fuel would weigh 210 pounds \($35 \text{ gal} \times 6 \text{ lb/gal} = 210 \text{ lb}$\).

To calculate the weight change, we subtract the weight of the fuel burn (210 pounds) from the original weight of the airplane (2,890 pounds):

\($$\text{Weight change} = -210 \text{ lb}$$\)

The negative sign indicates that the weight has decreased.

To calculate the moment change, we need to multiply the weight change by the moment arm, which is the distance between the center of gravity and the reference datum. The moment arm is given by the moment/100 (MOM/100) value of 2,452 at takeoff:

\($$\text{Moment arm} =\) \(\frac{\text{MOM}}{100} = \frac{2,452 \text{ in}}{100} = 24.52 \text{ in}$$\)

Moment change = Weight change \($\times$\) Moment arm

\($$\text{Moment change} = (-210 \text{ lb}) \times (24.52 \text{ in}) = -5,149.2 \text{ in-lb}$$\)

The negative sign indicates that the moment has decreased.

To adjust the total weight and moment, we add the weight and moment changes to the original weight and moment, respectively:

\($$\text{Total weight} = 2,890 \text{ lb} + (-210 \text{ lb}) = 2,680 \text{ lb}$$\)

\($$\text{Total moment} = 2,452 \text{ in-lb} + (-5,149.2 \text{ in-lb}) = -2,697.2 \text{ in-lb}$$\)

The negative sign for the total moment indicates that the center of gravity has moved aft, which could potentially affect the stability and controllability of the airplane.

It is important to note that these calculations assume that the weight of the pilot, passengers, cargo, and any other items on board remains constant. If there are any changes to these weights, the weight and balance calculations would need to be adjusted accordingly.

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Using Euler'formula, the difference between maximum and minimum possible numbers of faces is 96.

A polyhedron is a 3D shape with flat faces, straight edges, and sharp vertices (corners). "polyhedron" meaning "many" and "polyhedron" meaning "area". Therefore, when many planes are joined, they form a polyhedron.

Because all faces are triangles. So on a triangular base with triangular faces on both sides that meet at the vertex.

Therefore, the minimum number of triangular faces of a regular polyhedron is = 4

Next, the double pyramid has "2n" triangular faces. where n is a natural number greater than 2 and 'n' represents the number of sides of the base of the pyramid.

A polyhedron having equal quadrilateral faces is known as regular hexahedron.

quadrilateral faced polyhedron with total sides 100 and vertices 6 , then using Euler's formula

F + V-E = 2

=> F + 6- 100= 2 => F = 96 maximum faces possible = 96

Now the difference between maximum and minimum number of faces = 100 - 4 = 96

So the difference between maximum and minimum faces is 96.

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The better buy is given by the following brand:

Brand A.

The better buy is obtained applying the proportions in the context of the problem.

A proportion is applied as the cost per ounce is given dividing the total cost by the number of ounces.

Then the better buy is given by the option with the lowest cost per ounce.

The cost per ounce for each brand is given as follows:

$8 per ounce is a lesser cost than $9.3 per ounce, hence the better buy is given by Brand A.

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Answer:

x=5

Step-by-step explanation:

since it’s isosceles trapezoid, diagonals are equal.

x+10=2x+5

x=5

Profitability index is 1.387. Thus, the correct option is (c) 1.387.

The formula for calculating the profitability index is:

P.I = PV of Future Cash Flows / Initial Investment

Where,

P.I is the profitability index

PV is the present value of future cash flows

The initial investment in the project is $30 million. The cash flow at the end of the first year is $2.85 million.

The present value of cash flows can be calculated using the formula:

PV = CF / (1 + r)ⁿ

Where,

PV is the present value of cash flows

CF is the cash flow in the given period

r is the discount rate

n is the number of periods

For the first-year cash flow, n = 1, CF = $2.85 million, and r = 11%.

Substituting the values, we get:

PV = 2.85 / (1 + 0.11)¹ = $2.56 million

To calculate the present value of all future cash flows, we can use the formula:

PV = CF / (r - g)

Where,

PV is the present value of cash flows

CF is the cash flow in the given period

r is the discount rate

g is the constant growth rate

For the subsequent years, CF = $2.85 million, r = 11%, and g = 3.85%.

Substituting the values, we get:

PV = 2.85 / (0.11 - 0.0385) = $39.90 million

The total present value of cash flows is the sum of the present value of the first-year cash flow and the present value of all future cash flows.

PV of future cash flows = $39.90 million + $2.56 million = $42.46 million

Profitability index (P.I) = PV of future cash flows / Initial investment

= 42.46 / 30

= 1.387

Therefore, the correct option is (c) 1.387.

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Answer:

r=dt is not equal to d=rt

Step-by-step explanation:

if you solve the equation in terms of r, then you get r=d/t, not r=dt

Answer:

g=28

Step-by-step explanation:

g+6=3=31

3+4=31

g+3-3=31-3

g=31-3

g=28

Answer:

28

Step-by-step explanation:

If I am incorrect in my reasoning, please let me know so that I can plan better for my future answers. Have an amazing day.

Answer:

The option you chose is the right answer which is (0,-9).

The system of inequalities that is represented by the graph is given as follows:

The system of linear inequalities is defined with linear functions, which have the slope-intercept format given as follows:

y = mx + b.

In which the parameters are given as follows:

For the upper bound of the inequality, we have that the linear function:

Then the upper bound of the inequality has the definition given by:

y ≤ -x + 1.

For the lower bound of the inequality, we have that the linear function:

Hence the lower bound of the inequality has the definition given by:

y ≥ -0.75x + 0.5.

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Answer:

d=-28 and e=-20

Step-by-step explanation:

d×1=-24×1=e=4

d=-24-4=-28

56.6 years  is the mean of the modes of the given set of numbers.

What are the mean, median, and example?

The most frequent number, or the one that happens the most frequently, is known as the mode.

                     Example: Since the number 2 appears three times, more than any other number, it is the mode of the numbers 4, 2, 4, 3, and 2.

The mean is calculated by adding together all the values

                 =  (54+54+54+55+56+57+57+58+58+60+60

                  = 623

                  =  56.6 years.

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Answer:

22.5

Step-by-step explanation:

A dilation is a non rigid transformation which shrink or stretch a figure.

If the scale factor, b>1, the figure will grow

If the scale factor is less than 1, the figure will shrink

The scale factor is 1.5 so the figure will grow.

A dilation about a scale factor makes both figures porportional assuming we know all corresponding angles are congruent. So this means we just multiply PQ by 1.5 to get P'Q'

\(15 \times 1.5 = 22.5\)

Answer:

$64 and 23, 15, 30

Step-by-step explanation:

1. So we can say Max has x dollars. So Paul would have 40+x and Jane has 2x. x+40+x+2x=296 => 4x+40=296 => 4x=256 => x=64

So Max has $64.

2. So the first number can be x. The second number will be x-8 and the third will be 2x-16. x+x-8+2x-16=68 => 4x-24=68 => 4x=92 and x=23.

So 23, 15, 30

Answer:

The answer is A

Step-by-step explanation:

Answer:

A

Step-by-step explanation: