What is the difference of the two polynomials? (7y2 6xy) – (–2xy 3)

The expected number of times that both coins have come up tails will be 0.5 or 50%.

The probability of both coins coming up tails on a single flip is 1/4, since each coin has a 1/2 probability of coming up tails and the events are independent. If we flip the coins n times, the number of times both coins come up tails is a binomial random variable with parameters n and 1/4.

The expected value of a binomial random variable is given by np, where p is the probability of success on a single trial. In this case, we have p = 1/4, so the expected number of times that both coins come up tails in n flips is n(1/4). Therefore, if we flip the coins twice simultaneously, the expected number of times that both coins come up tails is (2)*(1/4) = 0.5.

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x= 4  is a number and five is at least half the difference of six and the same number.

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units. What can be values and units.

Let's say you go to the store to buy six apples. You are informed by the shopkeeper that he is offering 10 apples for Rs 100. In this instance, the value and the units are the price of the apples.

Recognizing the units and values is crucial when using the unitary technique to a problem.

Always write the items that need to be computed on the right side and the things that are known on the left side to simplify things. We are aware of the quantity of apples and the amount of money in the aforesaid problem.

According to our question-

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Answer:

(x−3)(x−8)

Step-by-step explanation:

Answer:

Step-by-step explanation:

x^2 - 11x + 24

(x - 3)(x - 8)

In Algebra 2, students typically use a scientific calculator.

A scientific calculator has advanced functions beyond basic arithmetic operations.

Some of the functions commonly used in Algebra 2 include logarithms, exponents, trigonometric functions, and statistical calculations. Therefore, a scientific calculator with these functions would be most useful for Algebra 2.

Examples of calculators that are often used in Algebra 2 include the TI-84 Plus , the TI-Nspire CX, the Casio fx-9750GII, and the HP Prime Graphing Calculator.

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answer: 40

explanation: Solution for 0.20 is what percent of 0.50: 0.20:0.50*100 = (0.20*100):0.50 = 20:0.50 = 40. Now we have: 0.20 is what percent of 0.50 = 40.

bonjour;)!

0.50=100%

0.25=50%

5+5+5+5+5=50% ir 20

5=10%

5+5+5+5=40%

0.20/0.50=40%

hope it help

The statisticians evaluate all of the above options: A. The population being measured, B. The method used for the survey, and C. The outcome of the survey.

To measure the quality of a survey, statisticians consider various factors related to the survey process and its outcomes. Evaluating only one aspect may not provide a comprehensive understanding of the survey's quality.

A. The population being measured: The quality of a survey depends on how well the target population is defined and represented.

Statisticians assess whether the chosen population accurately reflects the intended group and if any biases or sampling errors are present.

B. The method used for the survey: The survey methodology plays a crucial role in obtaining reliable and valid data.

Statisticians assess the survey design, sampling techniques, data collection methods, questionnaire quality, and other factors to determine if the chosen method is appropriate and likely to yield accurate results.

C. The outcome of the survey: The survey's outcomes are analyzed to evaluate the quality of the data collected. This includes examining response rates, data completeness, measurement validity, reliability, and other statistical measures.

Statisticians assess the overall quality and integrity of the survey's outcomes to determine if they align with the research objectives and provide meaningful insights.

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Answer:

A, B, D, E

Step-by-step explanation:

\(\sqrt{81}\) = ± 9 → D and E

Since 9 × 9 = 81 and - 9 × - 9 = 81

\(81^{\frac{1}{2} }\) = \(\sqrt{81}\) = 9 → B

- \(81^{\frac{1}{2} }\) = - \(\sqrt{81}\) = - 9 → A

The given statement "A successful proof can indeed turn a conditional statement into a theorem.'' is true because a successful proof can transform a conditional statement into a theorem by providing a logical and rigorous demonstration of its truth based on the given hypothesis.

In mathematics, a conditional statement is a proposition that asserts a relationship between two or more mathematical objects or concepts. It consists of a hypothesis and a conclusion.

A conditional statement is typically expressed in the form "If A, then B," where A represents the hypothesis and B represents the conclusion.

To establish a conditional statement as a theorem, one needs to provide a valid proof that demonstrates the truth of the statement. A proof is a logical argument that follows a series of logical deductions from axioms, definitions, and previously established theorems.

When a proof is successfully constructed for a conditional statement, it provides rigorous justification for the truth of the conclusion based on the given hypothesis.

By demonstrating the logical validity and coherence of the argument, the proof confirms the truth of the conditional statement and establishes it as a theorem.

The process of proving a conditional statement involves carefully reasoning through logical steps, utilizing mathematical principles and logical inference rules.

It requires precise and accurate reasoning, ensuring that each step in the proof is valid and consistent with the underlying mathematical framework.

Once a conditional statement has been proven, it is elevated to the status of a theorem. Theorems are fundamental results in mathematics that have been rigorously proven and hold true within a given mathematical system.

They serve as building blocks for further mathematical investigations and form the foundation of mathematical knowledge.

In summary, a successful proof can transform a conditional statement into a theorem by providing a logical and rigorous demonstration of its truth based on the given hypothesis.

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Answer:

18

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

18 boys + 11 girls = 29 students

18-11=7

After solving, the height of the cylinder is 6 meters.

The surface area of a cylinder is 24π m².

The distance around the base of the cylinder is 3π meter.

The diameter of a base of the cylinder is 4 meter.

Now the radius of the cylinder = diameter/2

The radius of the cylinder = 4/2

The radius of the cylinder = 2 meter.

The formula of surface area of cylinder:

S = 2πrh

From the question:

2πrh = 24π

Now putting the value of r

2π × 2 × h = 24π

4πh = 24π

Divide by 4π on both side, we get

h = 6

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The complete question is:

The surface area of a cylinder is 24π m². The distance around the base of the cylinder is 3π meter and the diameter of a base of the cylinder is 4 meter. What is the height of the cylinder? Enter your answer, in a simplified fraction, in the box.

Answer:

38 boxes

Step-by-step explanation:

If the volume of a cylinder is given, the dimensions of cylinder can be written and r = √(V/(πh)) and h = V/(πr²)

The volume of a cylinder is given, find dimensions of cylinder. To find the dimensions of a cylinder given its volume, we need to know either the radius or height. The formula for the volume of a cylinder is:

V = πr²h

where V is the volume, r is the radius, and h is the height.

If we are given the volume V, we can solve for either r or h as follows:

If we solve for the radius r:

V = πr²h

r² = V/(πh)

r = √(V/(πh))

If we solve for the height h:

V = πr²h

h = V/(πr²)

So, to find the dimensions of the cylinder, we need to know the volume V and either the radius r or height h. Once we have one of these values, we can use the equations above to find the other value and determine the dimensions of the cylinder.

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The function represented by the table in f(x)=a∙b^x form is 32(1.3)^x

From the question, we have the following parameters that can be used in our computation:

The table of values

The function represented by the table is an exponential function in the form of f(x) = ab^x.

Where

a = y when x = 0

i,e, a = 32

The value of b is

b = f(1)/f(0)

So, we have

b = 41.6/32

b = 1.3

Hence, the function is 32(1.3)^x

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Answer: 3,250

Step-by-step explanation:

Answer:

I don't think he moves away from is starting position.

Because he goes forward 3ft, than goes back 4.6ft, and moves forward 4.6ft.

Hope this helps.

Answer:

women 2/36

places 25/36

Answer:

She has to sell at least 8 boxes to break-even

Step-by-step explanation:

y = 225

y = 20x+65

225 = 20x + 65

160 = 20x

x = 8

Answer: f(-2) = 8

Step-by-step explanation: On the graph there’s a point (-2,8), so f(-2), which just means -2’s y value on the graph, is 8.

The probability that the sample mean differs from the population mean by 1.8mm and is rounded off to 4 decimal places is 0.8220

According to the given problem the mean diameter μ= 140 mm (population mean) and the standard deviation is σ=8mm

random sample size, n= 49 steel bolts is selected

Let the random variable that represents the diameter of steel bolts be denoted by x and from the problem we have x = 1.8mm

Let z = (x-μ) / (σ/√n )         (1)

using formula (1) and when the sample mean differs from the population mean by more than 1.8mm

z = 1.8/(8/√49 )

⇒z = 63/40 = 1.575

The probability that the sample mean will differ from the population mean by more than 1.8 mm

P( z > 1.575) = 1 - P(z< 1.575) = 1 - 0.178 = 0.822

The probability that the sample mean will differ from the population mean by more than 1.8 mm = 0.8220

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Distance from Detroit to columbus is 220 miles

It is given in the question,

The average speed Mrs. smith drove = 60 mph.

Returning, her average speed was 55 mph.

Time taken =  1/3 of an hour longer on the return trip

We have to Find total distance between Detroit and Columbus

So, Let the distance between Detroit and Columbus be "x" miles

Average speed = 60

So, time taken by her to cover distance of x miles with speed of 60 mph

Time = Distance / speed

=> t = x / 60

She Took x/60 hours to reach Columbus

While returning her speed was 55 mph.

So, time taken by her to cover the same distance but at a speed of 55 mph :

=> t = x / 55

Now we are given that she took 1/3 of hour more while returning .

So, \(\frac{x}{55} - \frac{x}{60} = \frac{1}{3}\)

⇒ x/660 = 1/3

=> x = 660/3

=> x = 220 miles

Hence ,  Detroit is 220 miles far from Columbus

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Answer:

None

Step-by-step explanation:

Answer:

none

Step-by-step explanation:

cause there isnt any zero

Answer:

(The image is below)

Step-by-step explanation:

First, solve for \(t\)

Next, find the slope and the y-intercept for the boundary line.

Slope:  \(2\)

y-intercept:  \((0,-1)\)

Now, graph:

Answer:

45 + x = 2x + 15

45 + 30 = (2 × 30) + 15

75 = 60 + 15

75 = 75

The width of the rectangular box will be 8cm

Given that the formula for calculating the volume of a rectangular box is expressed as:

\(V=lwh\)

L is the length

w is the width

h is the height

Get the "value of "w

\(V = lwh\\w=\frac{V}{lh}\)

Given the following parameters

Length l = 3 cm

Volume V = 120cm³

Height = 5cm

Get the width of the box as shown:

\(w=\frac{V}{lh}\\w=\frac{120}{3\times 5}\\w=\frac{120}{15}\\w= 8cm\)

Hence the width of the rectangular box will be 8cm

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The points on the curve where the tangent is horizontal: (1, 0) & (-1, 0),  and where the tangent is vertical: (0, 1) & (0, -1)

To find the points on the curve x=cos(theta) where the tangent is horizontal or vertical, we need to find the derivative of x with respect to theta.

Taking the derivative of x with respect to theta, we get:

dx/dtheta = -sin(theta)

When the tangent is horizontal, the derivative is equal to zero. So we need to solve the equation -sin(theta) = 0 for theta.

This equation is true when theta = n*pi, where n is an integer. So the points on the curve x=cos(theta) where the tangent is horizontal are:

(1, 0) for n=2k, where k is an integer

(-1, 0) for n=2k+1, where k is an integer

When the tangent is vertical, the derivative is undefined. This happens when cos(theta) = 0, which is true when theta = (2k+1)*pi/2, where k is an integer.

So the points on the curve x=cos(theta) where the tangent is vertical are:

(0, 1) for n=2k+1, where k is an integer

(0, -1) for n=2k, where k is an integer

Therefore, the points on the curve where the tangent is horizontal are (1, 0) and (-1, 0), and the points on the curve where the tangent is vertical are (0, 1) and (0, -1).

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Answer:

-1,093

Step-by-step explanation:

-10,844 + 9751 = -1,093

Answer:

18 oatmeal cookies

Step-by-step explanation:

3/4×24=18