Tanim wants to buy a video game that costs $60. There is 5% sales tax. How much does he pay in TAX? *

Using sampling concepts, it is found that the population of interest is given by:

All American teens who are between the ages of 13 and 17.

It is a common statistics practice, when we want to study something from a population, we find a sample of this population, which is a group containing elements of a population. A sample has to be representative of the population, that is, it has to involve all segments of the population.

I want to estimate the proportion of New York state residents who are Buffalo Bills fans. So i ask, lets say, 1000 randomly selected New York state residents wheter they are Buffalo Bills fans, and expand this to the entire population of New York State residents.

In this problem, a sample of American teenagers aged 13 to 17 was taken, hence all American teenagers aged 13 to 17 is the population of interest.

More can be learned about sampling concepts at https://brainly.com/question/25122507

The value of the missing number and the 6th term is 3750

The formula for determining the nth term of a geometric sequence with a common ratio greater than one is expressed as;

Tn = ar^n-1

From the information given, the first term(a) is 6 and we are to find the 5th term, thus, n is 5

Let's substitute into the formula

T5 = 6 × 5^5-1

T5= 6× 5^4

Find the value

T5 = 6 × 625

T5 = 3750

Thus, the value of the missing number and the 6th term is 3750

Learn more about geometric sequence here:

https://brainly.com/question/1509242

#SPJ1

k = - 4 is one of the roots of the in quadratic equation .

What are some examples of quadratic equations?

Substituting for x in the equation

2x² + ( k + 2 )x + k = 0

2 ( 2 )² + ( k + 2 ) 2 + k = 0

8 + 2k + 4 + k = 0

3k + 12 = 0

 3k = -12

 k = - 12/3

 k = - 4

Learn more about quadratic equation

brainly.com/question/17177510

#SPJ9

"A researcher is curious about the average IQ of all currently registered voters in the state of Iowa. If the average could be attained, it would be an example of a population parameter."

In statistical terms, a population parameter refers to a characteristic of a whole population. In this case, the researcher is interested in the average IQ of all registered voters in Iowa, which would be a population parameter. The researcher would need to gather IQ data from every registered voter in the state and calculate the mean IQ to obtain the population parameter.

However, it's important to note that obtaining the true population parameter is often impractical or impossible due to logistical constraints, so researchers typically rely on samples to estimate population parameters with a certain level of confidence.

This question should be provided as:

Learn more about population parameter: https://brainly.com/question/28175212

#SPJ11

Leah made a profit of $15 from the bake sale.

To calculate Leah's profit from the bake sale, we need to subtract the cost of the supplies and the cost of wrapping each item from the total amount of money she made from selling the baked goods. We can do this by adding the cost of the supplies and the wrapping cost for each item to find Leah's total expenses and then subtracting this total from the total amount of money Leah made from selling the baked goods.

To find the wrapping cost, we need to multiply the cost per wrap by the number of items Leah sold. If Leah wrapped each individual item, we can find the total wrapping cost by multiplying $0.50 by the number of items Leah sold.

For example, if Leah sold 30 items, the wrapping cost would be $0.50 * 30 = $<<0.50*30=15>>15.

To find Leah's total expenses, we can add the cost of the supplies and the wrapping cost. In this example, Leah's total expenses would be $45 + $15 = $<<45+15=60>>60.

To find Leah's profit, we can subtract Leah's total expenses from the total amount of money she made from selling baked goods. In this example, Leah's profit would be $75 - $60 = $<<75-60=15>>15.

So Leah made a profit of $15 from the bake sale.

To learn more about the total wrapping cost, visit:

brainly.com/question/18367362

#SPJ4

Answer:

1/16   2/16  3/16  4/16  5/16  6/16  7/16  8/16 9/16 10/16  11/16 12/16

Step-by-step explanation:

Para la identificación de las brocas tenemos dos consideraciones:

1.- Fracciones de igual denominador son mas grandes en orden creciente según vayan creciendo los numeradores, de tal forma que entre

9/16   3/16    7/16     5/16   11/16    el orden es como sigue ( de menor a mayor)

3/16     5/16     7/16     9/16     11/16

2.- Las fracciones con denominadores distintos pueden llevarse a denominador común /16  amplificando la fracción es decir por ejemplo

1/4   =  1*4/4*4   =  4/16

Con ese procedimiento las convertimos todas al caso señalado en el punto anterior y ordenamos

1/4   = 4/16

3/8  = 6/16

1/2  = 8/16

5/8 =  10/16

1/8  =  2/16

Entonces hay diez brocas la primera será 1/16 y la número 12   12/16

Y finalmente el orden es:

1/16   2/16  3/16  4/16  5/16  6/16  7/16  8/16 9/16 10/16  11/16 12/16

Answer: 14 inches

Step-by-step explanation:

Given the following :

James wants to cut a floor tile in the shape of a trapezium with the following dimension :

Top base = 12 inches

Bottom base = 16 inches

To obtain the medan, we take the average of the two bases :

(top base + bottom base) / 2

(12 inches + 16 inches) / 2

28 inches / 2

= 14 inches.

the minimum number of subjects needed for a research study regarding the proportion of respondents who reported a history of diabetes using the following criteria is 384.12, which can be rounded up to 385.

The minimum number of subjects needed for a research study regarding the proportion of respondents who reported a history of diabetes using the following criteria is as follows:

95% confidence, within 5 percentage points, and a previous estimate of 0.25.

The formula to calculate the sample size required for the study to determine the proportion is given by:

`n = Z²pq / E²`

Where n = sample size

Z = z-value (1.96 at 95% confidence interval)

E = margin of error

p = estimated proportion of the population

q = 1 - pp

q = estimated proportion of population without the condition (1 - 0.25 = 0.75)

Given,

Z = 1.96E = 0.05p = 0.25q = 0.75

Substituting these values in the above formula, we get;

`n = (1.96)²(0.25)(0.75) / (0.05)²``n = 384.16`

Therefore, the minimum number of subjects needed for a research study regarding the proportion of respondents who reported a history of diabetes using the following criteria is 384.12, which can be rounded up to 385.

learn more about proportion here:

https://brainly.com/question/31548894

#SPJ11

Answer:

gradient = change in y/change in x

--> -2/4 = -1/2

Therefore slope = -1/2

Step-by-step explanation:

Please give BRAINLIEST, it is appreciated, hope this helps!

Answer:

3

Step-by-step explanation:

4y+3x

4(-3)+3(5) Plug the numbers into the equation.

-12+15

3

Hope this helps and have an amazing day! ❤

Answer:

The last one  5(2x + 3)

Step-by-step explanation:

5 × 2x = 10x

5 × 3 = 15

10x + 15

Answer:

2

Step-by-step explanation:

because u need to multiply

Answer:

Step-by-step explanation:

the sum of the internal angles of a regular or irregular pentagon is 540°, we remove the known angles and we will have the answer

540 - 110 - 110 - 120 - 120 =

80°

Answer:

a. i. 150 cm³ ii. 150 cm³

b. i. 220 cm³ ii. 120 cm³

c. i. 297 cm² ii. 220 cm²

Step-by-step explanation:

a. For the cube

Dimensions of Cube = 5cm x 5cm x 5cm

Length of side = 5 cm

i. Total surface area A = 6L² where L = length of side = 5 cm

So, A = 6 × (5 cm)²

= 6 × 25 cm³

= 150 cm³

ii. Lateral surface area A' = 4L²

= 4 × (5cm)²

= 4 × 25 cm²

= 100 cm²

b. For the cuboid

Dimensions of Cuboid = Length, l = 10cm, Breadth, b = 5cm, Height, h = 4cm

i. Total surface area A = 2(lb + lh + hb)

= 2(10 cm × 5 cm + 10 cm × 4 cm + 4 cm × 5 cm)

= 2(50 cm² + 40 cm² + 20 cm²)

= 2(110 cm²)

= 220 cm²

ii. Lateral surface area A' = 2(lh + hb)

= 2h(l + b)

= 2 × 4 cm (10 cm + 5 cm)

= 8 cm × 15 cm

= 120 cm²

c. For the cylinder

Dimensions of Cylinder = Diameter, d = 7cm and height, h = 10cm

i. Total surface area, A = 2πr(r + h) where r = radius = d/2

A = πd(d/2 + h)

= 22/7 × 7 cm(7 cm/2 + 10 cm)  

= 22cm(3.5 cm + 10 cm)

= 22cm(13.5 cm)

=  297 cm²

ii. Lateral surface area A = 2πrh

= πdh

= 22/7 × 7 cm × 10 cm

= 22 cm × 10 cm

= 220 cm²

To find the derivatives of the dot product and cross product of \(r(t)\) and \(u(t)\), where \(r(t) = ti + 4t^2j + t^3k\) and \(u(t) = t^4k\):

1. Dot product: \(r(t) \cdot u(t)\)

  - First, we find the derivatives of \(r(t)\) and \(u(t)\):

    \(\frac{d}{dt}r(t) = \frac{d}{dt}(ti) + \frac{d}{dt}(4t^2j) + \frac{d}{dt}(t^3k) = i + 8tj + 3t^2k\)

    \(\frac{d}{dt}u(t) = \frac{d}{dt}(t^4k) = 4t^3k\)

  - Then, we take the dot product of the derivatives:

    \(\frac{d}{dt}[r(t) \cdot u(t)] = (i + 8tj + 3t^2k) \cdot (4t^3k) = 4t^3\)

2. Cross product: \(r(t) \times u(t)\)

  - First, we find the derivatives of \(r(t)\) and \(u(t)\) as calculated in the dot product case.

  - Then, we take the cross product of the derivatives:

    \(\frac{d}{dt}[r(t) \times u(t)] = (i + 8tj + 3t^2k) \times (4t^3k) = -12t^2j + 32t^4i - 4t^5k\)

To find the derivatives of the dot product and cross product, we need to differentiate each component of the vectors separately and apply the appropriate rules of differentiation.

For the dot product, we use the fact that the derivative of a constant times a vector is equal to the constant times the derivative of the vector. We differentiate each component of \(r(t)\) and \(u(t)\) with respect to \(t\) using the power rule and constant multiples.

For the cross product, we use the properties of the cross product and the derivative of a vector function. We differentiate each component of \(r(t)\) and \(u(t)\) with respect to \(t\) as we did in the dot product case, and then apply the rules of the cross product to obtain the resulting vector.

The derivatives of the dot product and cross product give us information about the rate of change and direction of the vectors \(r(t)\) and \(u(t)\) as \(t\) varies. These derivatives are useful in understanding the behavior and dynamics of vector functions in various contexts.

know more about cross product :brainly.com/question/17553347

#SPJ11

Answer:

3(6x-3)

Step-by-step explanation:

there are three groups, each group having 6x and 3 boxes valuing negative 1.

Answer:

A.

Comedy     4

Horror        7

Drama        5

Action         6

Romance    8

the third answer. x represents half of any even number. so half of any even number minus seven equals 1.5 is the answer.

Answer:

It is a geometric sequence and the common scale factor is \(\frac{2}{3}\).

Step-by-step explanation:

In an arithmetic sequence, the difference between consecutive terms is always the same.

\(a_n=a_1+(n-1)d\)

where aₙ is the nth term, a₁ is the first term, n is the index, and d is the common difference.

In a geometric sequence, each consecutive term was multiplied by some factor over the last.

\(a_n=ax^n^-^1\)

where aₙ is the nth term, n is the index, and x is the scale factor.

In the given sequence, there is no common difference so it is not an arithmetic sequence. There is, however, a common scale factor applied to each consecutive term. Each term is multiplied by \(\frac{2}{3}\) over the last.

The formula for this sequence would be:

\(a_n=a\frac{2}{3} ^{n-1}\)

Answer:

r = \(\frac{2}{3}\)

Step-by-step explanation:

If the sequence is geometric then there will be a common ratio r between consecutive terms , that is

r = a₂ ÷ a₁ = a₃ ÷ a₂ = a₄ ÷ a₃

Then

a₂ ÷ a₁ = \(\frac{2}{9}\) ÷ \(\frac{1}{3}\) = \(\frac{2}{9}\) × 3 = \(\frac{2}{3}\)

a₃ ÷ a₂ = \(\frac{4}{27}\) ÷ \(\frac{2}{9}\) = \(\frac{4}{27}\) × \(\frac{9}{2}\) = \(\frac{2}{3}\)

a₄ ÷ a₃ = \(\frac{8}{81}\) ÷ \(\frac{4}{27}\) = \(\frac{8}{81}\) × \(\frac{27}{4}\) = \(\frac{2}{3}\)

Then sequence is geometric with common ratio r = \(\frac{2}{3}\)

Answer:

third one the leading coefficient is 8

Step-by-step explanation:

did it on edge 2020

Quadratic equations has a leading degree of 2. The quadratic equation 8x2 − 5x + 3 = 0 has a leading coefficient is 8.

The quadratic equation is an  equation that has a leading degree coefficient of 2

The standard quadratic function is given as ax^+bx + c

From the equation, the leading coefficient is a, the constant term is c.

Given the quadratic equation 8x2 − 5x + 3 = 0, on the comparison, we can see that the leading coefficient is 8.

You can learn more on quadratic equation here: https://brainly.com/question/1214333

Answer:

103°

Step-by-step explanation:

\( m\angle DST = m\angle DCS = 80\degree.. (\angle 's \: in\: alternate \: segment) \)

\( In\: \triangle DST\)

\( m\angle DTS = 180\degree - (60\degree + 80\degree) \)

\( m\angle DTS = 180\degree - 140\degree\)

\( m\angle DTS = 40\degree\)

\( m\angle ETA+m\angle ETD+ m\angle DTS= 180\degree.. (straight \:line \:\angle 's) \)

\( m\angle ETA+37\degree + 40\degree = 180\degree\)

\( m\angle ETA+77\degree = 180\degree\)

\( m\angle ETA = 180\degree-77\degree \)

\( m\angle ETA = 103\degree \)

\( x = m\angle ETA = 103\degree.(\angle 's \: in\: alternate \: segment) \)

The change in the area of the surface of the cube when its side length triples from s units to 3s units is 52s³.

To quantify the change in the area of the surface of a cube when its side length triples from s units to 3s units, we can set up an integral.

Let's denote the side length of the cube as "x". The initial side length is "s" and the final side length is "3s". We want to find the change in surface area, which is the difference between the final surface area and the initial surface area.

The surface area of a cube with side length "x" is given by 6x², as each face of the cube has an area of x² and there are 6 faces.

The change in surface area can be calculated as:

ΔA = ∫(6x²) dx,

where the integral is taken from the initial side length "s" to the final side length "3s".

Now let's evaluate the integral:

∫(6x²) dx = 2x³ + C,

where C is the constant of integration.

To find the change in surface area, we substitute the limits of integration:

ΔA = [2x³]s to 3s

= 2(3s)³ - 2s³

= 2(27)s³ - 2s³

= 52s³

Therefore, the change in the area of the surface of the cube when its side length triples from s units to 3s units is 52s³.

Learn more about surface area here:

https://brainly.com/question/29298005

#SPJ11

Answer:

7

Step-by-step explanation:

2+5=7

Step-by-step explanation:

hence , the required number is 12 / 5. therefore, 12 / 5 should be subtracted from - 3 / 5 to get - 3.

Answer:

1.44 meters squared

Step-by-step explanation:

area = h · b

1.60 * 0.75 = 1.2

1.2 * 1.2 ( to find area in m square ) = 1.44

Sorry, I didn't quite understand the question here is a clear one, it was made by me personally in the geo-gebra application

Answer:

Factor:

9x2 – 64

=(3x+8)(3x−8)

3x – 8

Answer:

  you're nearly there

Step-by-step explanation:

You have obviously determined the correct entry in the top box of each pair. What you seem to have failed to observe is that the bottom box in each pair needs exactly the same entry as the top box.

_____

You figure this out by looking at the stuff that is outside the box. The numbers and symbols for the second box show how the function indicated outside the first box is evaluated. That is f(x) at the top becomes 4x at the bottom, where x (in this case) is x/4 for both.

Answer:

A

Step-by-step explanation:

Move the decimal point 2 spaces to the left to convert from percent to decimal.

Answer:

The Answer is .56  So It Would Be A.

B Is a Whole number Not a decimal

C Would be 560 as a decimal

And D is 65 as a decimal