what is x

8(3x+6)=168

Part b

From the given information, we can to note that the class width is 10. The class width refers to the difference the upper and lower boundaries of any class. Therefore, the answer fo part b is. Class widh = 10

Part c

Now, lets complete the relative frequency table.

The classes are given by:

For the first class (49.5, 59.5), there are 10 numbers.

For the second class (59.5,69.5), there are 8 numbers.

For the third class (69.5,79.5), there are 4 numbers

For the fourth class (79.5,89.5) there are 2 numbers

For the fifth class (89.5,99.5) there is 1 number.

Then, the frequency column is given by:

On the other hand, the relative frequency is defined as the frequency divided by the total number of events ocurring. In our case, the total number is 10+8+4+2+1= 25. Then, the relative frequency for the first row is:

For the second row

3rd row:

4th row:

and 5th row:

Then, the complete table is:

Therefore, the histrogram representing this table is:

corresponding to the third option from top to bottom.

As we can note from the histogram, its shape is right skewed because has a long right tail. So, the answer for part d is: Right skewed

If every individual in a population has an equal chance of being selected for a sample, the sample is said to be a "random sample" or a "simple random sample."

A random sample is a sampling technique used in statistics to gather data from a population. It is considered one of the most unbiased and reliable methods for selecting a sample. In a random sample, each individual in the population has an equal probability of being selected, regardless of their characteristics or attributes.

This equal chance of selection eliminates any systematic bias and ensures that the sample is representative of the population.

The process of obtaining a random sample involves assigning a unique identifier to each individual in the population and using a randomization method to select the desired number of individuals.

Random sampling can be conducted through various techniques, such as simple random sampling, where individuals are selected directly from the population using a random number generator or a randomization table.

The goal of a random sample is to reduce the potential for selection bias and increase the generalizability of the findings to the larger population. By giving every individual an equal opportunity to be included in the sample, researchers can make more accurate inferences and draw conclusions about the population as a whole.

This type of sampling method ensures that each member of the population has an equal opportunity to be included in the sample, making it a representative subset of the population.

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The number of push-ups did sara did during gym class if for every 7 push-ups Dulce can do, Sara can do 6 is 24 push ups.

Number of push ups Dulce can do : number of push ups Sara can do

Let

number of push ups Sara does = x

7 : 6 = 28 : x

7/6 = 28/x

cross product

7 × x = 28 × 6

7x = 168

divide both sides by 7

x = 168/7

x = 24

Therefore, Sara does 24 push ups during the gym class.

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Answer:

8

Step-by-step explanation:

The average rate of change for this quadratic function for the interval from x = 0 to x = 2 is -2

A relation is a function if it has only One y-value for each x-value.

The average rate of a function f(x)  from x=a to x=b is given as:

= f(b)-f(a)/b-a

Clearly we are asked to find the average rate of change from x=0 to x=2.

i.e. a=0 and b=2

Also, from the graph it could be observed that:

f(0)=1

and f(2)=-3

=f(2)-f(0)/2-0

=-3-1/2

=-4/2

=-2

Hence, the average rate of change for this quadratic function for the interval from x = 0 to x = 2 is -2

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Adding a score of 15 to the team would have the following effects on the mean and median scores:

The mean score would increase:

The median score may or may not change:

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9514 1404 393

Answer:

  7.5 m

Step-by-step explanation:

The cosine relation applies.

  Cos = Adjacent/Hypotenuse

  cos(60°) = (distance to wall)/(15 m)

  distance to wall = (15 m)cos(60°) = (15 m)(1/2) = 7.5 m

The foot of the ladder is 7.5 m from the wall.

The equation of the elastic curve for the beam using method of double integration is EI.y′′=M .

Because we can obtain the equation of the elastic curve using the double integration method, it is an effective method for determining the deflection and slope of a beam at any point.

The formula for a calculus curve's radius of curvature, y = f(x), is

\(P=\frac{[1+(\frac{dy}{dx}) ^{2} ]^{\frac{3}{2} } }{|\frac{d^{2}y }{d^{2}x } |}\)

The radius of curvature of a beam is given as in the derivation of the flexure formula.

\(P=\frac{El}{M}\)

Because the slope of the elastic curve dy/dx is so minimal due to the tiny amount of beam deflection, squaring this calculation reduces the value to practically nothing.

\(P=\frac{1}{\frac{d^{2}y }{d^{2}x }}\)

   \(=\frac{1}{y"}\)

Thus, EI / M = 1 / y''

y" = M/El

   = (1/El)*M

If EI is constant, the equation may be written as:

EI.y′′=M

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Answer:

28

Step-by-step explanation:

Answer:

28

Step-by-step explanation:

Last month, ed spent $50 in all. He spent 40% of the money at the movies. So $20 Ed spend at the movies.

In the given question we have to find how much money ed spend at the movie.

Last month Ed spend total $50.

He spent 40% of the money at the movie.

Total money spent by Ed last month = $ 50.

Percentage of the money spent at the movies = 40%

Money spend by Ed at the movies=Percentage of the money spent at the movies * Total money spent by Ed last month

Money spend by Ed at the movies= 40% * $50

Money spend by Ed at the movies= 40/100 * $50

Money spend by Ed at the movies= 0.4* $50

Money spend by Ed at the movies= $20

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Answer: €11.08

Step-by-step explanation:

The amount of VAT paid by Jeremy will be calculated by finding 19% of the cost price of the calculator. This will be:

= 19% × €58.31

= 19/100 × €58.31

= 0.19 × €58.31

= €11.08

Answer:

£9.31

Step-by-step explanation:

it doesn't require one for the question

Answer:

Natural Capitalism as an idea and thesis for a book emerged in 1994, the year after the

publication of The Ecology of Commerce. After meeting with and speaking to different

business, government, and academic institutions in the aftermath of the book's

publication, it became clear to Hawken that industry and government needed an overall

biological and social framework within which the transformation of commerce could be

accomplished and practiced. To that end, articles and papers were written that became the

basis of a book about natural capitalism. A key element of this theory was the idea that

the economy was shifting from an emphasis on human productivity to a radical increase

in resource productivity. This shift would provide more meaningful family-wage jobs, a

better worldwide standard of living to those in need, and a dramatic reduction of

humankind's impact upon the environment. So while the context for Natural Capitalism

existed in a theoretical framework, the exposition did not.

Contemporaneously, Amory and Hunter Lovins were coming to the same conclusion: that

a shared framework was needed that could harness the talent of business to solve the

world's deepest environmental and social problems. Both were writing Factor Four:

Doubling Wealth, Halving Resource Use for publication in Germany in 1995. The senior

author of Factor Four, Ernst von Weizsäcker, among Europe's top innovators in

environmental policy, had teamed up with the Lovinses to pool the experience of their

respective nonprofit research centers—Wuppertal Institute in Germany and Rocky

Mountain Institute (RMI) in Colorado. The three authors had assembled fifty case studies

of at least quadrupled resource productivity to detail how, across whole economies,

people could live twice as well but use half as much material and energy. Factor Four

showed that such striking gains in resource efficiency could be profitable, and that

obstacles to their implementation could be hurdled by combining innovations in business

practice and in public policy.

Both Factor Four and The Ecology of Commerce urged the private sector to move to the

vanguard of environmental solutions. Factor Four described a creative policy framework

that could foster fair and open competition in achieving that success. The Ecology of

Commerce suggested techniques that when combined with business's unique strengths

could enable it to meet this challenge successfully.

Hunter Lovins sent a draft of Factor Four to Paul Hawken in early 1995. He saw that it

was the exposition that natural capitalism needed if it were to make its theoretical claims

credible and demonstrable. The ideas not only meshed, they were absolutely

complementary. We agreed to work together toward one book, under the title of Natural

Capitalism, that would contain both theory and practice. After the work began, we

discovered it wasn't that simple. Factor Four was anecdotal, Europe-oriented (by 1997 it

had also been published in England after being a German bestseller for nearly two years),

and written more for policy and environmental activists than for business practitioners. It

needed not adaptation but complete rewriting. Further, the examples offered concentrated

mainly on efficiency and did not take fully into account the need for the restoration of

natural capital nor for several other important elements of natural capitalism that go far

Since 1 quart is equal to 4 cups, then the total amount of liquid glue, in cups, is:

There are 24 empty glue bottles but only 12 cups of glue. Since each bottle can hold one cup, then 24 cups of glue would be needed to fill all the bottles.

Since 12 is less than 24, then, there is not enough glue to fill all the bottles.

Answer: 6

Step-by-step explanation:

A P E X

Answer:

The random process described is a symmetrical random walk.

A symmetrical random walk is a mathematical model that represents a series of steps taken in either a forward (+1) or backward (-1) direction, each with equal probability. Starting from point zero, the process involves taking a certain number of steps. The outcome at each step is independent of previous steps, making it a stochastic process. The key characteristic of a symmetrical random walk is that, on average, the process remains centered around its starting point. This means that over a large number of steps, the expected displacement from the starting point approaches zero.

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Answer:

the first one is. hope helps

The longest possible distance that the couple of frogs can create between each other is (n-1)/2, where n is the number of blocks from 0 to n-1.

To understand why, we can think about two cases: when n is odd and when n is even.

When n is odd, the two frogs can start at the ends of the line, with one frog on block 0 and the other frog on block n-1. They can then both jump to the middle block (block (n-1)/2) and create a distance of (n-1)/2 between them.

When n is even, the two frogs cannot start at the ends of the line because there is no middle block. However, they can start on adjacent blocks, such as blocks (n-2)/2 and (n+2)/2. They can then both jump to the block in the middle of the line (block n/2) and create a distance of (n-2)/2 between them.

In both cases, the longest possible distance between the two frogs is (n-1)/2.

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Answer:

AA

Step-by-step explanation:

∠1  ≅ ∠2                  {Given}

∠3 ≅ ∠4              {Vertically opposite angles}

ΔAED ~ ΔBEC by AA postulate

False. Asymmetric encryption algorithm can be used to ensure the integrity of a file's contents.

Asymmetric encryption algorithms, such as RSA, are primarily used for data confidentiality and authentication, not for ensuring the integrity of a file's contents. They provide a way to securely exchange encrypted messages between parties and verify the authenticity of the sender.

To ensure the integrity of a file's contents, techniques such as cryptographic hash functions or digital signatures are used. Cryptographic hash functions generate a fixed-size hash value that uniquely represents the file's contents. Comparing the hash value before and after transmission can verify if the file has been tampered with. Digital signatures, on the other hand, use asymmetric encryption to provide a means of verifying the integrity and authenticity of a file by attaching a digital signature created with the sender's private key.

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Answer:

If(x>y and x<50): # add semicolon

print(a+10) # one close bracket

add " " double quotes inside print statements

print("a+10")

Answer:

y = 4/5x - 4

Step-by-step explanation:

Slope intercept is [ y = mx + b ] where m = slope and b = y-intercept. We are already given both so we can fill it in.

y = 4/5x - 4

Best of Luck!

Answer:

Orange Street has a (b=)y-intercept of -4 and a (m=)slope of 4/5

Therefore, m=4/5 and b= -4

y = mx+b

y = 4/5x+(-4)

y = 4/5x - 4 is the right answer.

Answer:

27!!

Step-by-step explanation:

1) Find out how much was spent on calls

To find out how much was spent one calls we just have to subtract the bills from the monthly rate

2) Find out how many calls were made

Each call costs $0.30 and $8.10 was sent on calls. To find out how many calls were cost we just need to divide them.

Meaning the customer made 27 calls!

Hope this helps, have a great day!

4/5

This is because there are 5 rectangles in total, but only 4 out of the 5 rectangles are colored.

Answer:

Step-by-step explanation:

The boxes filled in green represent the numerator: 4

The total number of boxes represent the denominator: 5

Therefore the picture represents 4 out of 5 boxes full, or 4/5.

The MMPI-2 test is used for the assessment of psychopathology and personality of patients.

It includes 567 true-false questions, resulting in 10 clinical scales, among which one is the anxiety subscale.

A score of 30 or less is usually considered very low.

The questions are answered by the patient, usually in a clinical or research setting.

A one-sample t-test is conducted in the problem, whereby a sample of 18 participants in a yoga group is tested for anxiety scores.

The following are the parameters of the one-sample t-test:Groups:

18 participants

Null hypothesis: The anxiety scores of Felipe's yoga group are statistically equal to 30." value: 30

Type of test: One-tailed test

Alternative hypothesis: The anxiety scores of Felipe's yoga group are greater than 30.

Degrees of freedom: n - 1 = 17T-observed value: (35.2 - 30) / (10.4 / sqrt(18)) = 2.41T-critical value: 1.734

Reject or retain null hypothesis: Since the t-observed value (2.41) is greater than the t-critical value (1.734), Felipe should reject the null hypothesis, which implies that his yoga group's scores are greater than 30.P-value: 0.014Cohen’s d value: (35.2 - 30) / 10.4 = 0.5

If the " value were reduced to 0.01, Felipe would still reject the null hypothesis, since the p-value (0.014) is lower than the alpha level (0.01).

For the sample mean: 35.2CI for 42%: 35.2 ± 0.58CI for 79%: 35.2 ± 1.16CI for 95%: 35.2 ± 2.13

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The total cost to get 4 orders of fries and 3 drinks is $7.05

The total cost to get ff orders of fries and dd is ($0.93*ff+$1.11*dd)

What is an algebraic expression?

An algebraic expression an expression which is made up of variables and constants, along with algebraic operations such as subtraction, addition, multiplication and division.

In this case, the total cost of fries is cost per fries, which is $0.93 multiplied by the number of fries, ff.

The total cost drinks is the cost per drink which is $1.11 multiplied by the number of drinks ordered, which is dd

Total cost=$0.93ff+$1.11dd

Now to determine the total cost of 4 orders of fries and 3 drinks, we simply substitute for the values of ff,4 and dd,3

Total cost=($0.93*4)+($1.11*3)

Total cost=$7.05

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Answer:

C. Multiply both sides by 4.

Step-by-step explanation:

You are isolating the variable, g, and so you will do the opposite of all operations that occurs with the variable, g.

Note the equal sign, what you do to one side, you would do to the other. Isolate the variable, g, by multiplying 4 to both sides of the equation:

\(\frac{g}{4} * 4 = 24 * 4\)

\(g = 24 * 4\)

\(g = 96\)

~

 The total debt of the government at the end of year three is $7.2 billion.

Starting with a total debt of $5.5 billion, the government's deficits of $600 million in year one and $1.5 billion in year two contribute to an increase in the debt. However, in year three, the government runs a surplus of $400 million, which helps reduce the debt.

Thus, the total debt at the end of year three is calculated by adding the initial debt and deficits, and subtracting the surplus. In this case, the total debt at the end of year three is $7.2 billion.

Assuming the government runs a deficit of $200 million in year three, the calculation changes. With the initial debt of $5.5 billion, the deficits of $600 million in year one and $1.5 billion in year two, and the additional deficit of $200 million in year three, the total debt at the end of year three would be $7.8 billion. This demonstrates how the deficit amounts impact the overall debt accumulation.

If a government runs a budget deficit of $5 billion each year for ten years, resulting in a total deficit of $50 billion, followed by a surplus of $2 billion per year for five years, reducing the debt by $10 billion, and then maintaining a balanced budget for another ten years, the government debt would amount to $40 billion. The deficits over the initial ten years lead to a significant accumulation of debt, but the subsequent surpluses help mitigate the debt by reducing the deficit. Finally, the balanced budget in the later years ensures that there is no further increase in debt. Understanding the interplay between deficits, surpluses, and a balanced budget is crucial to grasp the long-term implications on government debt and fiscal stability.

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The key to answering this question is to understand the physical situation and set up the correct initial value problem based on the given information.

We are told that a ball is thrown upward from the top of a 200-foot-tall building with a velocity of 40 feet per second. We are also given a coordinate system with the origin at ground level and the positive direction upward.

Let x(t) be the position of the ball at time t, measured from the ground level. The velocity of the ball is the derivative of its position with respect to time, so we have:

dx/dt = v0 - gt

where v0 is the initial velocity (positive because it is upward) and g is the acceleration due to gravity (which is negative because it acts downward). We know that v0 = 40 and g = -32 (in feet per second squared).

To get the position function x(t), we integrate both sides of this equation with respect to time:

x(t) = v0t - (1/2)gt^2 + C

where C is a constant of integration. To find C, we use the initial condition that the ball is thrown from the top of a 200 foot tall building. At time t = 0, the position of the ball is x(0) = 200.

x(0) = v0(0) - (1/2)g(0)^2 + C = 200

C = 200

So the position function is:

x(t) = 40t - (1/2)(-32)t^2 + 200

Simplifying this expression, we get:

x(t) = -16t^2 + 40t + 200

To check that this is the correct answer, we can take the derivatives to see if they match the given initial conditions.

dx/dt = -32t + 40
dx/dt(0) = -32(0) + 40 = 40
d2x/dt2 = -32
x(0) = -16(0)^2 + 40(0) + 200 = 200

So the correct initial value problem is:
d2x/dt2 = -32, x(0) = 200, dx/dt(0) = 40

Therefore, the correct answer is (b).

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The amount of X and Y that can give Adam the most utility is (αI/ Px) units of good X and (βI/ Py) units of good Y.

The Cobb-Douglas utility function represents a consumer's preferences towards two goods, X and Y. The function for Adam's preferences is given by:

U(x,y)=x α * y β, where α + β = 1. Given the price of good X is Px, the price of good Y is Py, and Adam's disposable income is I.

The total expenditure (E) for two goods will be:

E= PxX + PyY, Where X is the quantity of good X and Y is the quantity of good Y.

Adam's income constraint can be represented as:

I = PxX + PyY

We can rewrite the above expression as:

X = (I/ Px) - ((Py/Px)Y)

Thus, Adam's utility function can be written as:

U = X α * Y β

Substituting X with the expression we derived above, we get:

U = [(I/ Px) - ((Py/Px)Y)] α * Y β

To get the optimal consumption bundle, we need to maximize the utility function, which is given by:

MUx/ Px = α(Y/X)β

Muy/ Py = β(X/Y)α

Multiplying the two equations, we get:

MUx * Muy = αβ

Now, substituting the value of α + β = 1 in the above equation, we get:

MUx * Muy = α(1 - α)

Similarly, dividing the two equations, we get:

MUx / Muy = α/β

Now, we have two equations and two unknowns. We can solve them to get the values of X and Y, which maximize Adam's utility.

After solving, we get:

X = (αI / Px)

Y = (βI / Py)

Thus, the amount of X and Y that can give Adam the most utility is (αI/ Px) units of good X and (βI/ Py) units of good Y.

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