A cook has seven burger patties that each weigh a third of a pound. How many pounds do all the burgers weigh?

Answer: 125

Step-by-step explanation:

She surveryed 80 people out of the 400 in her school. 80 x 5 = 400 so 25 (the people who like pop music) times 5 will equal 125, the amount of people in her school that like pop music.

The rate at which the average revenue is changing when 175 belts have been produced and sold is approximately -0.0065 dollars per belt.

To find the rate at which the average revenue is changing when 175 belts have been produced and sold, we need to differentiate the revenue function with respect to x and then evaluate it at x = 175.

The revenue function is given as:

\(R(x) = 45x^(9/10)\)

To find the average revenue, we divide the total revenue by the number of belts produced and sold. So, the average revenue function, AR(x), can be expressed as:

AR(x) = R(x) / x

Differentiating the average revenue function with respect to x using the quotient rule:

\(AR'(x) = (R'(x) * x - R(x)) / x^2\)

Now, let's calculate the derivative of the revenue function R(x):

\(R(x) = 45x^(9/10)\)

Using the power rule, we differentiate R(x) with respect to x:

\(R'(x) = (9/10) * 45 * x^(-1/10)\)

Simplifying:

\(R'(x) = 405/10 * x^(-1/10)\\R'(x) = 40.5 * x^(-1/10)\)

Now, substitute the values into the average revenue derivative formula:

\(AR'(x) = (40.5 * x^(-1/10) * x - 45x^(9/10)) / x^2\)

Simplifying further:

\(AR'(x) = (40.5 * x^(9/10) - 45x^(9/10)) / x^2\\AR'(x) = (40.5 - 45x^(1/10)) / x^2\)

To find the rate at which average revenue is changing when 175 belts have been produced and sold, we substitute x = 175 into AR'(x):

\(AR'(175) = (40.5 - 45(175)^(1/10)) / (175)^2\)

Calculating the value:

AR'(175) ≈ -0.0065

Therefore, the rate at which the average revenue is changing when 175 belts have been produced and sold is approximately -0.0065 dollars per belt.

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Answer:

herlojffhgdxvjdxhyeb olis the tim view on the euros 2020 final

Evaluating all possible values of a variable in a model is called a sensitivity analysis.

A sensitivity analysis is a technique used to assess the impact of changes in the values of input variables on the output or outcome of a model or system. It involves systematically varying the values of the variables within a defined range and observing the corresponding changes in the model's output.

The purpose of a sensitivity analysis is to understand how sensitive the model is to changes in the input variables and to identify which variables have the most significant influence on the model's results.

During a sensitivity analysis, different scenarios are created by varying one or more input variables while keeping others constant. By examining the resulting changes in the model's output, analysts can gain insights into the relationships and dependencies between the variables and assess the robustness of the model's predictions or decisions.

Sensitivity analysis helps in understanding the potential risks, uncertainties, and limitations associated with the model, and can aid in decision-making and improving the model's performance by identifying critical variables that need to be carefully monitored or controlled.

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To solve this problem, you must first know how much 1 egg costs, for this we have to divide:

\(\begin{matrix}\space\space\space\space\space\space\emptyspace \sf 1,5\space\space\space\space\space\space\space\space\space\space\space\space\\ \sf 8\overline{|\smallspace \sf 12}\space\space\space\space\space\space\space\space\space\space\space\space\end{matrix}\\\underline{\sf 8}\\\sf 40\\\underline{\sf 40}\\(0)\)

\(\sf 1,\:5\:+1,\:5+1,\:5=\boxed{\sf 4,5}\ll Eggs\)

Answer:

  AED 2 for 3 eggs

Step-by-step explanation:

Price (p) is proportional to the number of eggs:

  p/3 = 8/12

  p = 3(8/12) = 8(3/12) = 8/4 = 2

The cost of 1/4 as many eggs will be 1/4 as much: AED 2 for 3 eggs.

Test statistics that are higher than the cutoff point. As a result, we conclude that there are more youths who smoke than 15% and reject the null hypothesis.

Given data;

A study was conducted to determine the proportion of American teenagers between 13 and 17 who smoke. Previous surveys showed that 15% percent of all teenagers smoke. A Gallup survey interviewed a nationally representative sample of 785 teenagers aged 13 to 17. Seventy-one teenagers in the survey acknowledged having smoked at least once in the past week.

To know, does the study provide adequate evidence to conclude that the percentage of teenagers who smoke is now different than 15%?

Let,

The outcome of a hypothesis test conducted on a sample of data from a wider population is predicted using hypothesis testing. This informs the analyst of the validity of his main theory.

The null hypothesis and alternate hypothesis is given below as,

p = 0.15

p ≠ 0.15

The value of \(\hat p\) is given below as,

\(\hat p\) = 71/785

  = 0.0904

The formula to calculate the test statistics is given below as;

\(t = \frac{\hat p - p }{\sqrt{\frac{\hat p(1-\hat p)}{n} } }\)

\(t = \frac{0.0904 - 0.15 }{\sqrt{\frac{0.0904(1-0.0904)}{785} } }\)

t = -5.818

According to the standard normal table's calculations, the critical value at the 0.05 level of significance is 1.96.

The test statistics above the threshold value. As a result, we reject the null hypothesis and come to the conclusion that there are more teenagers who smoke than 15%.

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The least number of years for the investment to triple is approximately 10 years.

To find the equivalent annual discount rate for a compound interest rate of i = 5%, we can use the formula:

Discount rate = (1 + i)^-1 - 1

Substituting the given interest rate, we have:

Discount rate = (1 + 0.05)^-1 - 1

Discount rate = 0.952381 - 1

Discount rate = -0.047619

The equivalent annual discount rate is approximately -0.047619.

To determine the number of years it takes for an investment to triple at an annual effective interest rate of i = 12%, we can use the compound interest formula:

Future value = Present value * (1 + i)^n

We want to find the least number of years (n) for the future value to be three times the present value. Let's set up the equation:

3 = 1 * (1 + 0.12)^n

Taking the logarithm of both sides, we get:

log(3) = n * log(1.12)

Solving for n, we have:

n = log(3) / log(1.12)

Using a calculator, we find that n ≈ 9.9 years.

Therefore, The least number of years for the investment to triple is approximately 10 years.

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Answer:

C

Step-by-step explanation:

If it’s m^4 it would be c since an exponent means you multiply the m by itself 4 times.

Answer:

10×2=20

Step-by-step explanation:

if you count bye tens you will get 20 hope that helps

Answer:

9+11

8+12

7+13

6+14

5+15

4+16

3+17

2+18

1+19

0+20

Step-by-step explanation:

What expressions are equal to 20.

The probability that all 8 project team members are computer science graduates is approximately 0.100

Probability can be defined as the ratio of favorable outcomes to the total number of events.

Here,
Since 75% of the employees in the department are computer science graduates, the probability that a randomly selected employee is a computer science graduate is 0.75. We want to find the probability that all 8 employees on the project team are computer science graduates. Assuming that the employees are chosen randomly, we can model the situation as a binomial distribution with n = 8 and p = 0.75.

Using the binomial probability formula, the probability that all 8 employees on the project team are computer science graduates is:

P(X = 8) = (8C8) * (0.75)⁸ * (1 - 0.75)⁸⁻⁸

= 1 * 0.1001 * 1

= 0.1001

Therefore, the probability that all 8 project team members are computer science graduates is approximately 0.100, to three decimal places.

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Answer:

11 people

Step-by-step explanation:

Divide the budget by the cost (500/42.75), and you’ll get 11.696(rounded). Well, you can’t have a 60th of a person, but you also can’t invite 12 people because it would go over the budget, so you have to round down to 11 people.

Answer:

about 11 people

Step-by-step explanation:

Answer:

The answer is -1,1

Step-by-step explanation:

The equation to solve the height of the trapezoid is 45h = 1,575

Given data ,

Let the area of the trapezoid be A

Now , the value of A = 1,575 cm²

And , the Top(base2) = 63cm and  Bottom(base1) = 27 cm

Area of Trapezoid = ( ( a + b ) h ) / 2

where , a = shorter base of trapezium

b = longer base of trapezium

h = height of trapezium

On simplifying , we get

1,575 = (63 + 27) / 2 x h

1575 = 45h

Hence , the equation is 1575 = 45h

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The complete question is attached below :

The trapezoid has an area of 1,575 cm2, Which equation could you solve to find the height of the trapezoid?

A 850.5h = 1,575

B 1,701h = 1,575

C 90h = 1,575

D 45h = 1,575

Top(base2) = 63 cm

Bottom(base1) = 27 cm

With lower extreme as 3, upper extreme as 16, median as 11, lower quartile as 8 and upper quartile as 13, the box and whiskers plot is drawn.

The given data set is 3, 5, 5, 8, 9, 10, 10, 12, 12, 12, 13, 14, 14, 16.

A box and whisker plot is a visual tool that is used to graphically display the median, lower and upper quartiles, and lower and upper extremes of a set of data.

From the given data set: 3, 5, 5, 8, 9, 10, 10, 12, 12, 12, 13, 14, 14, 16

Lower extreme = 3

Upper extreme = 16

Median = (10+12)/2 = 11

Lower quartile = 8 (Median of first half of data set)

Upper quartile = 13 (Median of first half of data set)

A box and whiskers plot for the given set of data is given below.

Therefore, with lower extreme as 3, upper extreme as 16, median as 11, lower quartile as 8 and upper quartile as 13, the box and whiskers plot is drawn.

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At least 10 students scored lower than Jenny.
The possible range of the marks of the top four students is 75.5 to 85.5 marks.
The least possible pass mark is 55.5 marks.

What is frequency ?

Frequency refers to the number of times a particular value or category appears in a set of data. It is a basic concept in statistics that helps to describe and analyze data.

Frequency can also be used to create frequency distributions, which are tables that show the frequency of each value or category in a set of data. Frequency distributions can be used to help visualize and analyze patterns in data, and they are often used in statistical analysis and research.

According to the question:
(a) No, Jenny could not be one of the three students with the lowest marks because her score of 41.5 marks falls above the cumulative frequency of 10 (i.e., the number of students who scored below 40 marks). Therefore, at least 10 students scored lower than Jenny.

(b) To find the possible range of the marks of the top four students, we need to look at the cumulative frequency of 31 (i.e., the number of students who scored below 35.5 marks). The top four students would be the ones who scored above this mark. Looking at the cumulative frequency polygon, we see that this mark falls between the scores of 75.5 and 85.5, so the possible range of the marks of the top four students is 75.5 to 85.5 marks.

(c) If 60% of the students pass the examination, then the total number of students who pass is 0.6 x 35 = 21. The least possible pass mark is the lowest score that is at or above the cumulative frequency of 21. Looking at the cumulative frequency polygon, we see that this mark falls between the scores of 55.5 and 65.5, so the least possible pass mark is 55.5 marks.

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Answer: 0.662201

Step-by-step explanation:

Number of five thousand dollar bills in circulation = 1,765,000

Number of ten thousand dollar bills in circulation = 3,460,000

Total bills in circulation = 1,765,000 + 3,460,000 = 5225000

If one one bill is chosen at random, the probability that it is a ten thousand dollar bill will be:

= Number of ten thousand dollar bills in circulation / Total bills in circulation

= 3,460,000 / 5225000

= 0.662201

The probability that it is a ten thousand dollar bill is 0.662201.

The derivative of the function F(x) = ∫[a to x] (-sin(t²)) dt is given by F'(x) = -sin(x²).

To find the derivative of the function F(x) = ∫[a to x] (-sin(t²)) dt using Part I of the Fundamental Theorem of Calculus, we can differentiate F(x) with respect to x.

According to Part I of the Fundamental Theorem of Calculus, if we have a function F(x) defined as the integral of another function f(t) with respect to t, then the derivative of F(x) with respect to x is equal to f(x).

In this case, the function F(x) is defined as the integral of -sin(t²) with respect to t. Let's differentiate F(x) to find its derivative F'(x):

F'(x) = d/dx ∫[a to x] (-sin(t²)) dt.

Since the upper limit of the integral is x, we can apply the chain rule of differentiation. The chain rule states that if we have an integral with a variable limit, we need to differentiate the integrand and then multiply by the derivative of the upper limit.

First, let's find the derivative of the integrand, -sin(t²), with respect to t. The derivative of sin(t²) with respect to t is:

d/dt [sin(t²)] = 2t*cos(t²).

Now, we multiply this derivative by the derivative of the upper limit, which is dx/dx = 1:

F'(x) = d/dx ∫[a to x] (-sin(t²)) dt

= (-sin(x²)) * (d/dx x)

= -sin(x²).

It's worth noting that in this solution, the lower limit 'a' was not specified. Since the lower limit is not involved in the differentiation process, it does not affect the derivative of the function F(x).

In conclusion, we have found the derivative F'(x) of the given function F(x) using Part I of the Fundamental Theorem of Calculus. The derivative is given by F'(x) = -sin(x²).

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Answer:

8.333% error

Step-by-step explanation:

using percent error formula

(actual - expected) / expected *  100 %

actual = 65

expected = 60

plug

(65-60)/60 * 100%

= 8.33 %

Answer:

x=-6/11, y=-61/11. (-6/11, -61/11).

Step-by-step explanation:

4x+7y=-41

x=y+5

-----------------

4(y+5)+7y=-41

4y+20+7y=-41

11y=-41-20

11y=-61

y=-61/11

x=-61/11+5=-61/11+55/11=-6/11

The outliers in the following scatterplots need to be circled:--5, 15-60

The points (-5,15) and (-60,7) are outliers.

An outlier is a value that lies outside (is smaller or larger) than most other values in a given data set. An outlier may represent a unique event or error. When examining scatterplots, outliers are the values that appear to be farthest from the trend line. Outliers are labeled as "L" in scatterplots. To answer this question, the outliers in the following scatterplots need to be circled:

--5, 15-60

The points (-5,15) and (-60,7) are outliers.

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By using the concept of similar triangles, we find the height of the person to be 6 ft if his shadow is 10 ft long.

We can consider two triangles - one formed by the person, their shadow, and a line connecting the person to the top of the street light, and the other formed by the street light, its shadow, and the same line connecting it to the person.

Let's call the height of the person "h". Then, we can write:

h / 10 = 30 / 50

Here, we have used the fact that the height of the street light is 30 ft and its shadow is 50 ft long. We can simplify this equation to get:

h = 10 x 30 / 50 = 6

Therefore, the height of the person is 6 ft.

To understand this visually, imagine two similar triangles, one larger than the other. The ratio of the corresponding sides of the two triangles is constant.

We can use this fact to solve the problem. In this case, the ratio of the height of the street light to the length of its shadow is the same as the ratio of the height of the person to the length of their shadow.

By setting up and solving the resulting equation, we can find the height of the person. It's important to note that this solution assumes that the person's shadow is cast at the same time as the street light's shadow. If the person's shadow is cast at a different time, the solution may not be accurate.

Additionally, this solution assumes that the ground is flat and level, with no obstructions that could affect the length or direction of the shadows.

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The approximate area of the remaining cardboard would be = 246 cm². That is option B.

To calculate the area of the remaining cardboard = (area of rectangle) - 2(area of circle)

The formula that is used to calculate the area of rectangle = length×width

where length = 14 cm

width = 18cm

area = 14×18 = 252 cm²

The area of the 2 circle formula;

= 2(πr²)

where π = 3.14

r = 2/2 = 1

area = 2(3.14) = 6.28

Area of the remaining cardboard

= 252 cm²- 6.28

= 245.72

= 246 cm²

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The radius and lunate bones articulate with the humerus.

The option B is the correct answer.

What is radius bone?

The radius bone is the shorter of the two long bones in the human forearm and is located on the thumb side of the wrist. It connects the elbow joint with the hand and rotates around the ulna bone to produce forearm movement.

The lunate bone, also known as the semilunar bone, is one of the eight carpal bones located in the wrist joint.

It's found between the scaphoid bone and the triquetral bone, and it's the middle bone of the proximal row of carpal bones.

The humerus is the long bone in the upper arm. It connects the scapula bone of the shoulder to the ulna and radius bones of the forearm to form the elbow joint.

Therefore, the radius and lunate bones articulate with the humerus.

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Answer: If a magazine costs $2.35 and has a 6% sales tax, then what is the total cost of the item. First, we need to convert the sales tax percentage into a decimal

Step-by-step explanation:

Initial velocity, acceleration, or any forces acting upon it, would be necessary to calculate the time it takes for the mailbag to reach the ground accurately.

To determine how long after its release the mailbag reaches the ground, we need to find the value of t when the height of the mailbag is equal to 0. In the given scenario, the height of the helicopter above the ground is given by the equation h = 3.45t^3, where h is in meters and t is in seconds.

Setting h to 0 and solving for t will give us the desired time. Let's solve the equation:

0 = 3.45t^3

To find the value of t, we can divide both sides of the equation by 3.45:

0 / 3.45 = t^3

0 = t^3

From this equation, we can see that t must be equal to 0, as any number raised to the power of 3 will be 0 only if the number itself is 0.

However, it's important to note that the given equation describes the height of the helicopter and not the mailbag. The equation represents a mathematical model for the height of the helicopter at different times. It does not provide information about the behavior or trajectory of the mailbag specifically.

Therefore, based on the information given, we cannot determine the exact time it takes for the mailbag to reach the ground. Additional information regarding the behavior of the mailbag, such as its initial velocity, acceleration, or any forces acting upon it, would be necessary to calculate the time it takes for the mailbag to reach the ground accurately.

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The following are three transactions: a) Received cash for services performed: This transaction affects revenue. b) Paid cash to purchase equipment: This transaction affects owner's investment.c) Paid employee salaries: This transaction affects expenses.

a) Received cash for services performed: This transaction affects revenue. It represents the income earned by the business from providing services, which increases owner's equity.

b) Paid cash to purchase equipment: This transaction affects owner's investment. It involves the use of cash to acquire an asset (equipment), which is considered an investment by the owner in the business.

c) Paid employee salaries: This transaction affects expenses. It represents the cost incurred by the business to compensate its employees for their services. Salaries are considered an expense, which decreases owner's equity.

In accounting, transactions are classified based on their effects on the different elements of owner's equity. Revenue represents the income earned by the business, which increases owner's equity. Expenses represent the costs incurred by the business, which decrease owner's equity.

Owner's investment refers to the funds contributed by the owner to the business, which increases owner's equity. Owner's drawings refer to the withdrawals made by the owner from the business, which decrease owner's equity.

In transaction (a), receiving cash for services performed represents revenue because it increases the business's income. In transaction (b), paying cash to purchase equipment represents a use of funds for an investment in assets, which is owner's investment. In transaction (c), paying employee salaries represents an expense incurred by the business, which decreases owner's equity.

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We are comparing the average gain in test scores for two different groups of girls - those assigned to coeducational chemistry classes and those assigned to single-sex chemistry classes. Since these gains are calculated from the data obtained from these specific groups of girls, they represent statistics rather than parameters.

In the given scenario:

The boldface number "12.2" represents a statistic.

The boldface number "15.1" represents a statistic.

A statistic is a numerical value that summarizes a sample of data, while a parameter is a numerical value that summarizes a population.

In this case, we are comparing the average gain in test scores for two different groups of girls - those assigned to coeducational chemistry classes and those assigned to single-sex chemistry classes. Since these gains are calculated from the data obtained from these specific groups of girls, they represent statistics rather than parameters.

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Answer:

Step-by-step explanation:

quit