Harold has a total of 17 coins that are nickels
and pennies. The value of the coins is $0.41.
How many nickels and pennies are there?

In each scenario, the choice between mean and median as a representative measure of central tendency depends on the nature of the data and the specific context..

1. Scenario: Income distribution of a population

- If the income distribution is skewed or contains extreme values (outliers), the median would be a better representation of the central tendency. This is because the median is not influenced by outliers and provides a more robust estimate of the "typical" income level. However, if the income distribution is approximately symmetric without outliers, the mean can also be an appropriate measure.

2. Scenario: Exam scores in a class

- If the exam scores are normally distributed without significant outliers, the mean would be a suitable measure as it takes into account the value of each score. However, if there are extreme scores that deviate from the majority of the data, the median may be a better representation. This is especially true if the outliers are indicative of errors or exceptional circumstances.

3. Scenario: Housing prices in a city

- In this case, the median would be a more appropriate measure to represent the central tendency of housing prices. This is because the housing market often exhibits a skewed distribution with a few high-priced properties (outliers). The median, being the middle value when the data is sorted, is not influenced by these extreme values and provides a better understanding of the typical housing price in the city.

Ultimately, the choice between mean and median depends on the specific characteristics of the data and the objective of the analysis. It is important to consider the distribution, presence of outliers, and the context in which the data is being interpreted.

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Answer:

Step-by-step explanation:

A viable method of numeration that contained zero and allowed for the solution of equations was developed by Muslim academics, who also used logic to establish mathematical ideas and relationships.

The current arithmetic decimal system and the basic operations associated with it—addition, subtraction, multiplication, division, raising to a power, and extracting the square root and cubic root—were created by Muslim mathematicians.

The Indian numeral system, which is now known as Arabic numerals, was swiftly adopted by Islamic mathematicians. The development of algebra, the use of decimals, mathematical induction, and trigonometry were among the further contributions.

The Arabic translation of mathematical, medicinal, and astronomical writings from their original languages is one of the Islamic world's greatest contributions to contemporary science.

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Answer:

B

Step-by-step explanation:

The second one!!!

Ilsa is currently 39 years old.

Let's start by defining the variables:

From the given information, we can create two equations:

We know that Ed is 29, so we can substitute this value into equation 2:

29 - M = 2(I - M)

Simplifying this equation, we get:

2M - I = 29

Now we can use equation 1 to substitute I with M + 5:

2M - (M + 5) = 29

Simplifying this equation, we get:

M = 34

Therefore, Meghan is currently 34 years old. We can use equation 1 to find Ilsa's age:

I = M + 5 = 34 + 5 = 39

So Ilsa is currently 39 years old.

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Answer:

Step-by-step explanation:

Surface:

surface area = 2 ends + side

The ends are both a circle and they are identical.

area of a circle = \(\pi\)\(r^{2}\)

then  \(\pi\)\(7^{2}\) = 153.93804 \(cm^{2}\)

since there are two ends multiply the above by 2

2*153.93804 =307.87608 \(cm^{2}\)

the side is the length * height

length = perimeter of the circle , the perimeter of a circle is also the circumference.   circ = 2\(\pi\)r

circ = 2*\(\pi\)*7 = 53.407075

surface area of the side = 6* 53.407075=320.44245

add the two surfaces areas together :)

total surface area = 320.44245 + 307.87608 = 628.3185307 \(cm^{2}\)

Volume:

volume is the area of the end times the height

volume = circle area * height

volume = 153.93804 * 6

volume = 923.62824 \(cm^{3}\)

Answer:

3/4

Step-by-step explanation:

We can use the slope formula when given two points

m = ( y2-y1)/(x2-x1)

    = ( 5-2)/(1 - -3)

    = (5-2)/(1+3)

    = 3/4

Answer: What are the answers to your question?

Step-by-step explanation:

X, and Y they are both axis's so most likely you might be using a grid but the arn't showing so make a grid and find the coordinats

The dimensions of diameter of the circle is 6 inches which Jessa used to draw her circle.

The circumference of a circle is stated by the formula -

C = 2πr, where r refers to radius of the circle. Calculating radius now.

18.84 = 2πr

Rewriting the equation for radius of circle

r = 18.84/2×3.14

Performing division on Right Hand Side of the equation

r = 3 inches

As known, diameter is double the radius. Hence, diameter of the circle = 2×3

Performing multiplication on Right Hand Side of the equation

Diameter of the circle = 6 inches

Thus, the correct answer is A 6.

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The complete question is -

9.Jessa drew a circle with a circumference of 18.84 inches. Which of these dimensions could be the diameter, in inches Jessa used to draw her circle? Use 3.14 for pi.

A 6

B 15.7

C 3

D 9.42

The system of inequalities to represent the situation is 2x + 5y ≤ 77, x + y ≥ 19

You are in charge of getting food for the class from the corner store.  You can buy chips for $2 or a hoagie for $5.

There are 19 students in the class, so you need to buy at least 19 items, and you have $77 total.

Hence, the system of inequality to represent this situation is as follows:

let

x = number of chips

y = number of hoagies

Therefore, the inequalities is as follows:

2x + 5y ≤ 77

x + y ≥ 19

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Answer:

The correct answer is,

for X:

\(x = \frac{4 - y}{3} \)

for y:

\(y = 4 - 3x\)

The practical range of the function is between $100 and $625.

This can be calculated using the formula y=10x, where x is the number of subscriptions sold each week and y is the amount of money earned. To calculate the amount of money earned for selling t subscriptions each week, we can use the formula y = 10t. This can be interpreted as saying the amount of money (y) is equal to 10 times the number of subscriptions sold (t). For example, if Clarence sells 15 subscriptions each week, then we can calculate the amount of money he earns by plugging in t = 15. y = 10(15) = 150. This means Clarence earns $150 each week by selling 15 subscriptions. For example, if Clarence sells 10 subscriptions each week, he would earn $100 (10 x 10 = 100). If he sells 25 subscriptions each week, he would earn $625 (25 x 25 = 625). The practical range of the function is therefore $100 to $625.

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(a) Interpret the statement f(2,5) = 24 in terms of temperature.

The statement "f(2,5) = 24" shows that the temperature at a point 2 cm from the center of the metal rod is 24°C after 5 minutes.

(b) If d is held constant, is H an increasing or a decreasing function of t? Why?

If d is held constant, H will be an increasing function of t. This is because the heating element attached to the center of the metal rod will heat the rod over time, and the heat will spread outwards. So, as time increases, the temperature of the metal rod will increase at any given point. Therefore, H is an increasing function of t.

(e) If t is held constant, is H an increasing or a decreasing function of d? Why?

If t is held constant, H will not be an increasing or decreasing function of d. This is because the temperature of any point on the metal rod is determined by the distance of that point from the center and the time elapsed since the heating element was attached. Therefore, holding t constant will not cause H to vary with changes in d. So, H is not an increasing or decreasing function of d when t is held constant.

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Answer:

\(Standard\ Form = {3n^2} m^{-2}\)

Step-by-step explanation:

Given

\(\frac{2}{3m^2n} * 4.5n^3\)

Required

Write in Standard Form

To start with; the two monomials have to be multiplied together;

\(\frac{2}{3m^2n} * 4.5n^3\)

\(Standard\ Form = \frac{2 * 4.5n^3}{3m^2n}\)

Split the numerator and the denominator

\(Standard\ Form = \frac{2 * 4.5 * n^3}{3 * m^2 * n}\)

Multiply Like terms

\(Standard\ Form = \frac{9 * n^3}{3 * m^2 * n}\)

Divide 9 by 3 to give 3

\(Standard\ Form = \frac{3 * n^3}{m^2 * n}\)

Divide n³ by n to n²

\(Standard\ Form = \frac{3 * n^2}{m^2 }\)

Split fraction

\(Standard\ Form = {3 * n^2} * \frac{1}{m^2 }\)

From laws of indices;

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

\(Standard\ Form = {3 * n^2} * \frac{1}{m^2 }\) becomes

\(Standard\ Form = {3 * n^2} * m^{-2}\)

Multiply all together

\(Standard\ Form = {3n^2} m^{-2}\)

Could you please provide the units

The most appropriate choice for permutation and combination will be given by

Number of sequences obtained by drawing three balls = 8000

Number of sequences obtained by drawing four balls = 16000

What is permutation and combination?

When there is a case of ordering, the number of arrangements that can be made in a set is called permutation

When there is no case of ordering, the number of arrangements that can be made in a set is called combination.

Here,

For three balls

Total number of balls = 20

Number of balls drawn = 3

This problem is same as the problem for drawing of r balls from n balls with replacement

So number of choices for first place = 20

Number of choices for second place = 20

Number of choices for third place = 20

Total number of sequences obtained = \(20 \times 20 \times 20\)

                                                              = 8000

For four balls

So number of choices for first place = 20

Number of choices for second place = 20

Number of choices for third place = 20

Number of choices for fourth place = 20

Total number of sequences obtained = \(20 \times 20 \times 20 \times 20\)

                                                              = 16000

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Answer:

x=11

y=48

Step-by-step explanation:

Answer:

32

Step-by-step explanation:

At x = 3, we don't have enough information to find f(3^2) or f'(3^2), so we cannot evaluate the expression for dy/dx at x = 3.

We can use the chain rule to find the derivative of y = sin(f(x^2)) with respect to x:

dy/dx = cos(f(x^2)) * d/dx[f(x^2)]

To find d/dx[f(x^2)], we can use the chain rule again:

d/dx[f(x^2)] = f'(x^2) * d/dx[x^2] = 2xf'(x^2)

So, putting it all together:

dy/dx = cos(f(x^2)) * 2xf'(x^2)

At x = 3, we don't have enough information to find f(3^2) or f'(3^2), so we cannot evaluate the expression for dy/dx at x = 3.

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Answer:

suchh harddb

Step-by-step explanation:

By using the empirical rule, the approximate percentage of lightbulb replacement requests numbering between 19 and 40 is 99.3%.

The empirical rule is a statistical guideline which relates to bell-shaped distributions.

According to the rule, approximately 68% of the data falls within one standard deviation of the mean, approximately 95% of the data falls within two standard deviations of the mean, and approximately 99.7% of the data falls within three standard deviations of the mean.

We know that mean is 40 and a standard deviation is  7.

To find the approximate percentage of lightbulb replacement requests numbering between 19 and 40

z₁ = (19 - 40) / 7 ≈ -3.00

z₂ = (40 - 40) / 7 = 0.00

Here, z₁ is the number of standard deviations that 19 is below the mean, and z₂ is the number of standard deviations that 40 is above the mean.

According to the empirical rule, approximately 99.7% of the data falls within three standard deviations of the mean.

Therefore, the approximate percentage of lightbulb replacement requests numbering between 19 and 40 is

percentage ≈ 99.7% * (1 - 0.00135) ≈ 99.3%

Note that, we subtracted the area under the normal curve beyond three standard deviations, which is approximately 0.15%, from 100% to get the percentage of data within three standard deviations.

Therefore, approximately 99.3% of the daily requests to replace fluorescent lightbulbs fall between 19 and 40.

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Answer:

y = 3x

Step-by-step explanation:

Slope-intercept form of an equation is a shortcut, fill-in-the-blank form you can use to write the equation of a line.

Slope-intercept eq:

y = mx + b

You fill in slope where the m is. And you fill in the y-intercept for the b.

In your problem they gave you two points. You can calculate slope with two points. Subtract the y's, 3-0, put that on top of a fraction. And subtract x's, 1-0, put that on the bottom of the fraction. The slope, m, is 3/1, which is 3.

slope:

m = 3-0 / 1-0 = 3/1 =3

The y-intercept is actually given in your problem. The y-intercept is the point where the line crosses the y-axis. The y-intercept is the point where the x is 0. They gave you the point (0,0) that is the y-intercept. So b = 0.

Fill the m and b in with the given numbers!

y = 3x + 0 Simplify.

y = 3x

6. x=1 , y=2

7. x=-4 , y=5

8. Infinitely Many Solutions

The digits missing from the equation are 100, 10 and 1 respectively. The solution has been obtained by using the concept of algebraic equation.

What is algebraic equation?

If a mathematical phrase has variables, constants, and algebraic operations, it is said to be "algebraic" (addition, subtraction, etc.). The expression must contain the equals sign and satisfy the algebraic equation.

We are given an expression as

3. 58 × 100[(3 × 1) + (5 × 0. 1) + (8 × 0. 01)] × 100

On multiplying, we get

= (3 × 100) + (5 × 10) + (8 × 1)

= 358

Hence, the digits missing from the equation are 100, 10 and 1 respectively.

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The required answer is as follows:4:9

Simplification is the process of replacing a mathematical expression by an equivalent one, that is simpler, usually shorter.Let us take one more example to understand it. Example: Simplify the expression: 3/4x + y/2 (4x + 7). By using the distributive property, the given expression can be written as 3/4x + y/2 (4x) + y/2 (7).

The given ratio of cheese sandwiches to egg sandwiches on a store shelf is 8:18.

We can simplify this ratio by dividing both numbers by their greatest common factor (GCF), which is 2. So,8 ÷ 2 = 4 and 18 ÷ 2 = 9

Therefore, the simplified ratio of cheese sandwiches to egg sandwiches is 4:9.

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If the standard deviation of a set of data is 6, then the value of variance is 36

The formula for determining variance is variance = √Standard deviation

Variance of a set of data is equal to square of the standard deviation.

If the standard deviation of a set of data is 6 then we get variance by putting the value of standard deviation in the formula

variance = √Standard deviation

Take square root on both sides

Standard deviation² = 6²

Standard deviation= 36

Hence,  standard deviation of a set of data is 6, then the value of variance is 36

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There are 1,048,576 ways to complete the 10-question multiple-choice test with 4 possible answers per question.

To determine the number of ways the test can be completed, we need to calculate the total number of possible combinations of answers.

For each question, there are 4 possible answers. Since there are 10 questions in total, we can calculate the total number of combinations by multiplying the number of choices for each question:

4 choices * 4 choices * 4 choices * ... (repeated 10 times)

This can be expressed as 4^10, which means raising 4 to the power of 10.

Calculating the result:

4^10 = 104,857,6

Therefore, there are 104,857,6 ways the test can be completed.
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Answer:

pretty sure it would be like 90 or something, don't know if it's -90 or just 90 tho

Step-by-step explanation:

Answer:

50 degrees

Step-by-step explanation:

-230 is the same as   130      in quadrant II

reference angle   180 - 130 = 50 degrees

The values of x and y using the concept of similar figures are:

y = 166 and x = 3.33 units

Two triangles are said to be similar if their corresponding side proportions are the same and their corresponding pairs of angles are the same. When two or more figures have the same shape but different sizes, such objects are called similar figures.  

We are told that Polygon ABCD is similar to Polygon EFGH and as such applying the similar figure definition above, we can say that:

∠B = ∠F

Thus:

∠B = 360 - (61 + 116 + 90)

∠B = 360 - 267

∠B = 93°

Thus:

y - 73 = 93

y = 166

Using the concept of similar figures, then:

6/4 = 5/x

x = 20/6

x = 3.33 units

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