To attract business, a clothing store mails discount coupons to residents of a town. To estimate the proportion of the store’s shoppers who are using the coupons, the store manager selects a random sample of 100 customers who visit the store on a weekend. The manager finds that 38 of them are using the coupons mailed to their homes. Which of the following describes the sample in this setting?

A) all residents of the town
B) the 38 shoppers who used coupons
C) the 100 randomly selected shoppers
D) all shoppers in the store on the weekend

Answer:

4(x + 3)

Step-by-step explanation:

So, to solve these questions is pretty simple.

4 times what equals 4x, and 4 times what equals 12?

Well,

4 times x  = 4x, and 4 times 3 = 12.

soo.

4(x + 3)

Answer:

4x+12  factor 4 out of the equation

19) : -7x=5.6⇒ x=-5.6/-7

x/8- 5/2=5/2 common factor

(x-20)/8 =5/2

2(x-20)=40

2x-40=40

2x=80

Answer:

D

Step-by-step explanation:

You know the second tick mark is one half, and for that you can conclude the third one as 3/4. 3/4=6/8. 1=8/8. therefore it is 7/8.  

A type II error is a statistical term used to describe the failure to reject a false null hypothesis. It occurs when the null hypothesis is actually false but is not rejected because the statistical test failed to find significant evidence against it.

In other words, it happens when an alternative hypothesis is true, but we fail to reject the null hypothesis.

Types of errors in hypothesis testing

There are two types of errors in hypothesis testing:

Type I error: Rejecting a true null hypothesis

Type II error: Failing to reject a false null hypothesis.Type I error occurs when a true null hypothesis is rejected while Type II error occurs when a false null hypothesis is not rejected. These types of errors are inversely related, meaning that a decrease in one type of error causes an increase in the other.

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Answer:

No, it's wrong

\( {x}^{2} - 8x - 9 = 0 \\ (x - 9)(x + 1) = 0 \\ x = 9 \: and \: - 1\)

Answer:

Step-by-step explanation:

The special two-item character sequence that represents special characters like \n is known as an Escape Sequence. So the option B is correct.

An escape sequence is a sequence of characters that does not represent itself when used inside a character or string literal, but is translated into another character or a sequence of characters. It is used to signal an alternative interpretation of a series of characters. Common examples are the escape sequences used in C/C++ and other programming languages, such as "\n" for newline, "\t" for tab, and "\\" for a backslash. So the option B is correct.

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The complete question is:

The special two-item character sequence that represents special characters like \n is known as a(n) ?

a. backslash code

b. escape sequence

c. Unicode spec

d. literal character

Answer:

I. 33,56,65

Step-by-step explanation:

____________

Shawn's first statement is correct. A trapezoid is a quadrilateral with at least one pair of parallel sides. A rectangle is a quadrilateral with four right angles and opposite sides of equal length. It is not possible to draw a trapezoid that is a rectangle, because the two shapes have different sets of properties.

However, Shawn's second statement is incorrect. A square is a type of rectangle in which all sides are of equal length. So, every square is a rectangle, but not every rectangle is a square. So it is not accurate to say that it is possible to draw a square that is a rectangle, because a square is already a type of rectangle.

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Answer:

12x -7

Step-by-step explanation:

The empirical formula of a compound is the simplest and lowest whole number ratio of the atoms of each element that makes up a compound.

To find the empirical formula from percentages, you need to first calculate the mass of each element present in the compound, based on the percentage of each element. Once you have the mass of each element, divide each mass by the atomic mass of that element to get the number of moles of each element. Then divide each mole by the smallest number of moles to get the mole ratio. This ratio is the empirical formula for the compound.

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After taking the common, the factored form of \(27x^3-64\) is \((3x-4)(9x^2+12x+16)\).

In the given question, we have to find the factored form of \(27x^3-64\).

The following is how we factor the GCF out of a polynomial:

(1) Determine the polynomial's GCF for each term.

(2) Present each term as the GCF and another factor's product.

(3) To factor out the GCF, use the distributive property.

To solve this question we use the formula \((a^3-b^3) = (a-b)(a^2+ab+b^2)\)

We can write \(27x^3-64\) as

\(27x^3-64\) = \((3x)^3-(4)^3\)

\(27x^3-64\) = \((3x-4)((3x)^2+3x\cdot4+(4)^2)\)

\(27x^3-64\) = \((3x-4)(9x^2+12x+16)\)

Hence, the factor form of \(27x^3-64\) is \((3x-4)(9x^2+12x+16)\).

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The complete question is:

What is the factored form of \(27x^3-64\)?

Answer:

The answer is 1

Step-by-step explanation:

Answer:

It depends on the size of the

Step-by-step explanation:

Like the width ,length and all that

give me the size of the pool and will assist

The formula for the fraction of the population who have heard the rumor at time t is:

H(t) = 1 - (1 - H(0)) * e^(-k*t*(1-H(0)))

where H(0) is the initial fraction of the population who have heard the rumor (in decimal form), k is the proportionality constant, and e is the mathematical constant approximately equal to 2.718.

To solve part (b), we can use the information given to find the value of H(0) and then solve for the time when H(t) = 0.9.

We know that at 8 am, 80 people have heard the rumor, so H(0) = 80/1000 = 0.08. We also know that by noon, half the town has heard it, so H(4) = 0.5. Plugging these values into the formula, we get:

0.5 = 1 - (1 - 0.08) * e^(-k*4*(1-0.08))

Simplifying, we get:

0.42 = e^(-0.32k)

Taking the natural logarithm of both sides, we get:

ln(0.42) = -0.32k

Solving for k, we get:

k = -ln(0.42)/0.32 = 0.646

Now we can use this value of k to find the time when 90% of the population has heard the rumor:

0.9 = 1 - (1 - 0.08) * e^(-0.646t*(1-0.08))

Simplifying, we get:

0.08 * e^(-0.0565t) = 0.1

Dividing both sides by 0.08, we get:

e^(-0.0565t) = 1.25

Taking the natural logarithm of both sides, we get:

-0.0565t = ln(1.25)

Solving for t, we get:

t = -ln(1.25)/0.0565 ≈ 30.9

Therefore, 90% of the population will have heard the rumor after about 30.9 hours.

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Answer: Mean  is the value obtained by dividing the sum of several quantities by their number; an average. Denoting the middle term of a series arranged in order of magnitude. The value which occurs most frequently in a set of data is known as the mode of the set of data.

Step-by-step explanation:

The house was in the shape of an octagon, with eight separate bedrooms on each side.

The house described in the statement has an octagonal shape. An octagon is a polygon with eight sides, characterized by its eight equal angles. In this case, each side of the house corresponds to one of these angles, resulting in eight separate bedrooms on each side of the octagonal structure.

The choice of an octagon as the shape of the house can have various implications. Octagonal buildings are often admired for their unique architectural design and aesthetic appeal. The shape provides symmetry and balance, allowing for an interesting and visually pleasing structure. Additionally, an octagonal layout can offer practical advantages in terms of space utilization and room distribution. In the case of the house described, each side of the octagon accommodates a separate bedroom, providing privacy and ample living space for its occupants. The symmetrical arrangement of the bedrooms around the central area of the house could create a harmonious and well-organized living environment. Overall, the octagonal shape of the house with eight separate bedrooms on each side offers both architectural and functional benefits.

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The vector field f(x,y)=⟨1 y, 1 x⟩ is the gradient of f(x,y). When you compute f(1,2)−f(0,1), the result is ⟨1, 1⟩

Given the vector field f(x,y)=⟨1 y, 1 x⟩ is the gradient of f(x,y), you are asked to compute f(1,2)−f(0,1).

Step 1: Evaluate f(1,2) and f(0,1).
f(1,2) = ⟨1(2), 1(1)⟩ = ⟨2, 1⟩
f(0,1) = ⟨1(1), 1(0)⟩ = ⟨1, 0⟩

Step 2: Compute f(1,2) - f(0,1).
To find the difference between two vectors, subtract the corresponding components of the vectors.
f(1,2) - f(0,1) = ⟨2, 1⟩ - ⟨1, 0⟩ = ⟨2-1, 1-0⟩ = ⟨1, 1⟩

Therefore, the vector field f(x,y)=⟨1 y, 1 x⟩ is the gradient of f(x,y). When you compute f(1,2)−f(0,1), the result is ⟨1, 1⟩.

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Answer:

Given:

Cylinder: height = 16 cm ; radius = 5 cm

cone: height = 12 cm ; radius = 4 cm

Volume of cylinder = 3.14 * (5cm)² * 16cm = 1,256 cm³

Volume of cone = 3.14 * (4cm)² * 12cm/3 = 200.96 cm³

Volume of air space = 1256 cm³ - 200.96 cm³ = 1,055.04 cm³ 

The comparison between the distance he biked and swam is 3 : 1.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

From the given information the comparison of the distance he swam to the distance he biked can be represented in the form of ratios.

Given, He rode his bike 3/4 miles and swam for 1/4 mile.

Therefore, The ratio of biking : swimming = 3/4 : 1/4.

Now, Multiplying by 4 to get rid of the denominator we have,

Biking : Swimming = 3 : 1.

As the days in both comparisons increase in the same manner the ratio will remain the same.

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Answer:

180πcm²

Step-by-step explanation:

The formula for calculating curved surface area of a cylinder is

CSA=2πrh

r I the radius= 18cm/2 = 9cm

Let the height be 19cm

CSA = 2π(9)(10)

CSA = 180πcm²

Hence the length of the curved surface area is 180πcm²

Note that the height of the cylinder was assumed

(a) To sketch a graph of the speed over a 3-second time span, we need to know the equation that describes the relationship between speed and time. Without this information, we cannot create an accurate graph.

(b) To find the volume of blood that passes along the artery in one second, we need to use the formula Q = A * v, where Q is the flow rate, A is the cross-sectional area of the artery, and v is the speed of blood flow. The cross-sectional area of the artery is given by A = pi * r^2, where r is the radius of the artery.

Thus, substituting the given values, we get:

A = pi * (5mm)^2 = 78.54 mm^2

v = 0.2 + 0.1 sin(2pit/0.8) (using the given information)

Q = A * v = 78.54 * (0.2 + 0.1 sin(2pit/0.8))

To find the volume of blood that passes along the artery in one second, we need to evaluate Q at t = 1 second, so we get:

Q = 78.54 * (0.2 + 0.1 sin(2pi1/0.8)) = 31.39 mm^3/s

Therefore, the volume of blood that passes along the artery in one second is approximately 31.39 cubic millimeters.

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On solving the provided question we can say that - 112 child tickets were sold that day

equation: a statement that two expressions having variable- and/or number-filled expressions are equivalent. Since equations are essentially questions, finding a way to respond to them has been a major driving force behind the development of mathematics.

Call the number for children and the number for adults to get:

\(5.20c+8.50\\ a=1097.60\)

and

a=4c

indicating that there were four times as many adults as youngsters.

Using this value in place of a

into the first equation we get:

\(5.2c+8.5(4c)=1097.6\\ 5.2c+34c=1097.6\)

rearranging:\(c=1097.639.2=28\)

and so:

\(a=4c=4⋅28=112\)

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Answer:

X' = -2,1           Y' = 3,0       Z' = -1.5, -2

Step-by-step explanation:

x = -4,2      y = 6,0     z= -3,-4    

Divide each by 1/2, since thats the dilation

hope this helps

Answer:

x=27

Step-by-step explanation:

those make corresponding angles which are always equal so you can set up an equation like this: (2x-7)=(3x-34) calculate it for x and you'll get x=27

Answer:

Option D, 140 sq. units

Step-by-step explanation:

Area of the rectangle part, 11*5 = 55 sq. units

Area of the pentagon part (3.4*5)*5/2 = 42.5 sq. units

Total area,

55+2*42.5 sq. units (since there are two pentagons)

= 55+85 sq. units

= 140 sq. units

Answer:

f(x) = g(x-9)

Step-by-step explanation:

Answer:

f(x) = g(x-9)

The present value of the loan is found to be  approximately $70.28.

To find the present value of a loan, we can use the formula:

Present Value = Future Value / (1 + (interest rate * time))

Given that the future value is $1,321.17, the interest rate is 7.75%, and the time is 230 days, we can plug in these values into the formula:

Present Value = 1321.17 / (1 + (0.0775 * 230))

Calculating the expression in the parentheses first:

Present Value = 1321.17 / (1 + 17.8075)

Simplifying further:

Present Value = 1321.17 / 18.8075

Evaluating the division:

Present Value ≈ $70.28

Therefore, the present value of the loan is approximately $70.28.

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Answer:

It's A

Step-by-step explanation:

The simplest form of √250c³/√9d⁶ is 5c√ 10c/3d³

Two or more expressions with an Equal sign is called as Equation.

The given equation or expression is √(250c³/9d⁶)

StartRoot StartFraction 250 c cubed Over 9 d Superscript 6 Baseline EndFraction EndRoot

This can be written as √250c³/√9d⁶

The numerator 250c³ can be written as twenty five times of c square times of ten times of c 25c²×10c and denominator can written as 3d³

√ 25c²×10c/3d³

The square root of 25 is 5

5c√ 10c/3d³

Hence, the simplest form of √250c³/√9d⁶ is 5c√ 10c/3d³

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Rotation of a shape is a type of transformation. The required answers are:

1. AB=A'B'  (YES)

2.  AC II BD, then A'C' II B'D'    (YES)

3. m<ABC < m<A'B'C'   (NO)

A quadrilateral is a family of shapes which have four sides. Examples are square, rectangle, rhombus etc.

Transformation is a process which can be used to change the orientation or dimensions of a given figure or shape called an object. Some types of transformation are: rotation, translation, reflection, and dilation.

Rotation implies turning an object at a certain angle in a specific direction. The direction could be either clockwise or counterclockwise.

NB: Rotating an object changes only its orientation, but not the length of its dimensions or angles.

So that the required answers to the questions are:

1. AB=A'B'  (YES)

2.  AC II BD, then A'C' II B'D'    (YES)

3. m<ABC < m<A'B'C'   (NO)

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