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What is the interquartile range (IQ) of the data set represented by this box plot?


A. 23

B. 56

C.10

D. 33

The predicted number of adults in Oak City whose main source of news is newspapers or the radio is 85

To predict the number of adults in Oak City whose main source of news is newspapers or the radio, we need to add the number of adults who answered "Newspapers" to the number of adults who answered "Radio".

According to the sample data

Number of adults who answered "Newspapers": 64

Number of adults who answered "Radio": 21

Therefore, the predicted number of adults in Oak City whose main source of news is newspapers or the radio we have to use the addition

64 + 21 = 85

Rounding this answer to the nearest whole number, we get

85 ≈ 85

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The given question is incomplete, the complete question is:

There are 44,000 adults living in Oak City. In examining attitudes toward the news, a research group asked a random sample of Oak City adults "What is your main source of news?" The results are shown below. Main Source of News Newspapers Number of Adults 64 Internet 80 Television 126 Radio 21 Other 40 Based on the sample, predict the number of adults in Oak City whose main source of news is newspapers or the radio. Round your answer to the nearest whole number.

Answer:

x+5

Step-by-step explanation:

I thought what 2 numbers if multiplied made 15

also 2x+3 already has a 3

so I'm guessing 3 and 5

then I put them next to each other

(2x+3) ( +5)

I put a x in the second parenthesis as a guess because the area had a 2x^2 in it . that could only happen with 2x * x

so (2x+3) (x+5)

Answer:

33

Step-by-step explanation:

To determine the best-fitting model for a given set of data, we can consider a linear, quadratic, and cubic model and assess their fits. The model that provides the smallest error or highest coefficient of determination (R-squared) would be considered the best fit.

A linear model represents a straight line and can be expressed as y = mx + b, where m is the slope and b is the y-intercept. A quadratic model represents a parabolic curve and can be written as y = ax² + bx + c, where a, b, and c are coefficients. A cubic model represents a curve with more flexibility and can be written as y = ax³ + bx² + cx + d, where a, b, c, and d are coefficients. To determine the best-fitting model, we can calculate the error or R-squared for each model and compare them. Lower errors or higher R-squared values indicate better fits. It is important to note that the choice of the best model also depends on the nature of the data and the underlying relationships.

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Answer:

f(x)=y.

Explanation

In a function, f(x) means "the function of x". For example, f(x)=2x is the same thing as y=2x. But f(y) would be something different entirely, because that would be using the function definition to change the y-value.

The value of the \(5000^{th}\) term in the given arithmetic sequence K is 44995.

The sequence that is given in the question is said to be an arithmetic sequence which means the consecutive elements in the series will have common differences.

To find any term in the series first, we need to find the first term and the common difference that the series follows.

Here we know that the first and the second term of the series are 4 and 13 so from this we can find the common difference which is:

13-4=9

so the first term (a) = 4

the common difference (d) = 9

To find the \(n^{th}\) term of the series we can use the formula:

\(a_n=a_1+(n-1)*d\)

where \(a_n\) is the nth term in the sequence, \(a_1\) is the first term of the series, n is the no.of term, and d is the common difference.

So to find the 5000th term in the series

\(a_{5000}=4+(5000-1)*9\\a_{5000}=4+(4999*9)\\a_{5000}=4+ 44991\\a_{5000}= 44995\\\)

The value of the \(5000^{th}\) term is 44995

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Given

Equation

x tea chart __, 0, 2, __

y tea chart 0,__, __, 3

Procedure

y = 0

12x = 16

x = 16/12

x = 4/3

x = 0

-8y = 16

y = 16/-8

y = -2

x = 2

12(2) - 8y = 16

24 - 8y = 16

-8y = 16-24

-8y = -8

y = 1

y = 3

12x - 8(3) = 16

12x - 24 = 16

12x = 16+24

12x = 40

x = 40/12

x = 20/6

x tea chart 4/3, 0, 2, 20/6

y tea chart 0, -2, 1, 3

The mean value of the radius (r) at which you would find the electron, given the H atom wave function is 100(r), is 0.

The wave function of an electron in the hydrogen atom, denoted by Ψ, describes the probability distribution of finding the electron at different positions around the nucleus. In this case, the given wave function is 100(r), where r represents the radius.

To calculate the mean value of the radius, we need to evaluate the integral of r multiplied by the absolute square of the wave function, integrated over all possible values of r. However, the wave function 100(r) does not provide a valid description of the hydrogen atom's electron distribution. The wave function should be normalized, meaning that the integral of the absolute square of the wave function over all space should equal 1. In this case, the given wave function lacks normalization.

Since the wave function is not properly normalized, we cannot accurately calculate the mean value of the radius. Without normalization, the probability distribution described by the wave function does not provide meaningful information about the electron's position.

In summary, based on the given wave function, the mean value of the radius cannot be determined without proper normalization of the wave function. A properly normalized wave function is necessary to obtain accurate information about the electron's position.

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Answer:

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

The probability of flipping a coin and having it land "heads" up is 1/2.

Since each coin flip is independent, the probability of getting three heads in a row is the product of the individual probabilities.

Therefore, the probability of flipping a coin three times and having them all land "heads" up is:

Answer:

The length of the hypotenuse = 625 inches

Step-by-step explanation:

A right triangle has leg lengths of 7 inches and 24 inches.

Given

Pythagorean Theorem

For a right-angled triangle with sides 'a' and 'b', the hypotenuse 'c' is

defined as:

\(c=\sqrt{a^2+b^2}\)

so substituting the values

\(c=\sqrt{7^2+24^2}\)

\(c=625\) inches

Thus, the length of the hypotenuse = 625 inches

Answer:

y - 5

Step-by-step explanation:

Answer:

y - 5

Step-by-step explanation:

To translate statements into expressions, we have to look for key terms. In this case, one key term is "five less." Five less means to subtract 5 from a certain quantity. When it says "five less than y," we're taking five away from y. In numerical form, it can be written as: y - 5.

Therefore, the expression is y - 5.

Answer:

It will be 40

Step-by-step explanation:

Hope this helped have an amazing day!

The given statement is,

→ if u have 10 and add 20 and add 10.

In mathematical expression,

→ (10 + 20) + 10

→ 30 + 10

→ 40 is the answer.

a. the median is 2

b. the mean number of goals conceded is 2

The reflected point of (9, 8) over x- axis is (9, -8).

We have point (9, 8).

We know the rule to reflect over x axis is

Negate the value of the y-coordinate of each point, but leave the x-value the same.

i.e., (x, y)  ->  (x, -y).

So, the reflection of point over x axis is

(9, 8) - > (9, -8).

Thus, the image of point is (9, -8).

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Ratio of side length to perimeter

6:24

7:28

10:40

Ratio of perimeter to side length

24:6

28:7

40:10

Ratio of radius to diameter

4:8

6:12

8:16

Ratio of diameter to radius

8:4

12:6

16:8

Ratio of people to tables

15:3

20:4

25:5

Ratio of tables to people

3:15

4:20

5:25

Hope this helps! If it does, please mark as brainliest.

(Side length):(Perimeter)

Ratio of side length to perimeter: 1:4

(Perimeter):(Side length)

Ratio of perimeter to side length: 4:1

(Radius):(Diameter)

Ratio of radius to diameter: 1:2

(Diameter):(Radius)

Ratio of radius to diameter: 1:2

(People):(Tables)

Ratio of people to tables: 5:1

(Tables):(People)

Ratio of tables to people: 1:5

Answer:

shes paying 0.15 per minute and 3.30 per day hope this helps :)))

Step-by-step explanation:

She pays $6.60 per minute.

In January, Melissa spent 22 minutes on her cell phone each day.

If her monthly bill for the 31 days was $102.30.

The total number of minutes in months she spends on-call is;

\(= 31 \times 22 \\\\= 682\)

The cost of bill per minute is given;

\(\rm = \dfrac{Number \ of \ minutes}{Total \ amount \ of \ bill}\\\\= \dfrac{682}{102.30}\\\\= 6.60\)

Hence, she pays $6.60 per minute.

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By using the ASA Congruence Theorem, Delta PQR is congruent to Delta TSR.

We can prove this by using the fact that triangle PQR and triangle TSR are both right triangles and that R is the midpoint of overline PT and overline PQ is congruent to overline TS. Since R is the midpoint of overline PT, it follows that overline PR is congruent to overline TR (by the midpoint theorem).

Since PQR is a right triangle, and R is the right angle, it follows that angle PQR is congruent to angle TSR (by the definition of a right angle). Since overline PQ is congruent to overline TS, it follows that angle PQS is congruent to angle TSR (by the definition of congruence). Together, these congruences imply that triangle PQR is congruent to triangle TSR by the ASA congruence theorem.

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The expansion of Boolean algebra is x^2y + xzy' + xz^2

To simplify the expression using Boolean algebra and its identities, let's break it down step by step:

1. Distributive Property (x(yz' + x)(y' + z)): Distribute the x to both terms inside the first parentheses. xy' + x^2yz' + xy'z + xz

2. Distributive Property (xy' + x^2yz' + xy'z + xz)(y' + z): Distribute the second parentheses to all the terms inside. xy'y + x^2yz'y + xy'zy' + xzy' + xy'z + xz^2

3. Complement Law (xy'y = 0): Since y and y' are complements, their product is always 0. 0 + x^2yz'y + xy'zy' + xzy' + xy'z + xz^2

4. Simplification (x^2yz'y = x^2y): Combine like terms, as z'y + zy' = 1 (by the Complement Law). x^2y + xy'zy' + xzy' + xy'z + xz^2

5. Simplification (xy'zy' = 0): Since y and y' are complements, their product is always 0. x^2y + xzy' + xy'z + xz^2

6. Simplification (xy'z = 0): Since z and z' are complements, their product is always 0. x^2y + xzy' + xz^2

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It will take 29.4 years for the population of Africa to be two times what it is today. This reflects: doubling time.

Doubling time is the time it takes for a particular amount of size or value to double at a given growth rate. By applying the 70 rules, we can find the doubling time of the exponentially increasing population. To do this, divide 70 by the growth rate (r).

Rule of 70 is a simplified way to determine the doubling time using the equation doubling time = 70 / r. Where r is the percentage growth rate of the population. For example, if the population of 10 species increases by 2 individuals per year, the r value will be 20%.

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The Possible Energy Collected in kJ is 30,999 kJ.

The first step in solving this problem is to determine the area of the oven. To do this, we need to multiply the length (53.2 cm) by the width (44.5 cm). This gives a result of 2359.4 cm².

Next, we can calculate the energy collected in kJ. To do this, we need to multiply the power (1120.3 W/m²) by the area of the oven (2359.4 cm²) and then by the time (71.9 min) and then divide by 1000 to convert into kilojoules (kJ). This gives the following equation:

Energy collected (kJ) = (1120.3 W/m² × 2359.4 cm² × 71.9 min) / 1000

Substituting in the values, this gives a result of 30,999 kJ of energy collected.

Therefore, the Possible Energy Collected in kJ is 30,999 kJ.

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Answer:

y=-5x+23

Step-by-step explanation:

rearrange the equation to fit y = mx + b

To determine the margin of error in a confidence interval estimate, we need to use the given information of the sample size (375 games) and the confidence level (90%) to calculate the margin of error.

To calculate the margin of error in a confidence interval estimate, we use the formula: Margin of Error = Critical Value multiplied by Standard Error. Given that the sample size is 375 games and the confidence level is 90%, we can determine the critical value using a standard normal distribution or a t-distribution, depending on the sample size and assumptions.

Since the sample size is relatively large (375 games) and we don't have information about the population standard deviation, we can use the standard normal distribution. For a 90% confidence level, the critical value for a standard normal distribution is approximately 1.645. Now, to calculate the standard error, we use the formula: Standard Error = under root [(pmultiplied by (1 -p)) / n], where p is the sample proportion and n is the sample size.

In this case, the sample proportion is calculated as 300/375 = 0.8. Using the given information, the standard error is calculated as under root [(0.8 multiplied by (1 - 0.8)) / 375] ≈ 0.0231. Finally, we can calculate the margin of error by multiplying the critical value and the standard error: Margin of Error = 1.645 multiplied by 0.0231 ≈ 0.0380. Therefore, the margin of error in a 90% confidence interval estimate of the true proportion of games won by the team leading at the end of the third quarter is approximately 0.0380.

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Answer:

1. False, 2. False, 3. False

Step-by-step explanation:

In the short-run model for a typical monopolistically competitive firm at profit maximization, the total revenue is $X, total costs are $Y, and the total economic profit is $Z.

In the short-run model for a typical monopolistically competitive firm, profit maximization occurs when marginal revenue (MR) equals marginal cost (MC). The total revenue of the firm, denoted as TR, is the product of the price per unit (P) and the quantity sold (Q). Therefore, TR = P × Q.

To determine the total costs (TC) of the firm, we need to consider both explicit costs (such as wages, rent, and raw material expenses) and implicit costs (such as the opportunity cost of the owner's time and capital invested). TC includes both the variable costs (VC), which change with the level of production, and the fixed costs (FC), which remain constant regardless of the production level. Thus, TC = VC + FC.

Finally, to calculate the total economic profit, we subtract the total costs (TC) from the total revenue (TR). Economic profit (π) is given by the equation π = TR - TC. If the economic profit is positive, the firm is making profits. If it is negative, the firm is incurring losses. If it is zero, the firm is just breaking even.

Overall, in the short-run model for a monopolistically competitive firm at profit maximization, the total revenue (TR) is $X, the total costs (TC) are $Y, and the total economic profit (π) is $Z. These figures are crucial for understanding the financial performance of the firm and its position in the market.

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The equation y = 6.5x will represent the situation and the unit rate will be $6.5/hour.

A graph is a diagram that shows the fluctuation of one variable in relation to one or more other variables.

In order to plot the graph, we need to find out y's values corresponding to x's value

After that, we need to substitute the values of x's and y's into the coordinate geometry.

Given that,

Evan earned $26 for 4 hours of babysitting.

If total earnings y for babysitting x hours then,

y = (26/4)x ⇒ y = 6.5x will be the equation.

The unit rate of the function is y/x = $6.5/hour.

Hence "The equation y = 6.5x will represent the situation and the unit rate will be $6.5/hour".

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Answer:

\(3x + y = 3 \\ 3 = x - y \\ 3 = x\)

Answer:

y = -3x - 4

Step-by-step explanation:

We are given the equation 3x + y = 3, and we want to find an equation of the line that is parallel to 3x + y = 3.

This same line also passes through the point (1, -7).

Parallel lines have the same slopes. This means that we'll first need to find the slope of 3x + y = 3.

The equation is written in standard form, which is ax+by=c, where a, b, and c are free integer coefficients, but a and b cannot be 0. a is usually non-negative as well.

There is a shortcut into finding the slope when the equation is in standard form; the slope of the line is -a/b, where a is the coefficient in front of x and b is the coefficient in front of y).

The coefficient in front of x is 3, and 1 in front of y.

Substitute 3 as a, and 1 as b in -a/b. Don't forget about the - in front of a!

-3/1 = -3

This means the slope of the line is -3.

It is also the slope of the line parallel to it.

We can write the equation of the line we are trying to solve for in standard form, too. However, we could also write it in slope-intercept form.

Slope-intercept form is given as y=mx+b, where m is the slope and b is the y intercept.

As we are already given the slope, we can immediately plug that into the formula.

Replace m with -3.

y = -3x + b

Now we need to find b.

As the equation passes through the point (1, -7), we can use its values to help solve for b.

Substitute 1 as x and -7 as y.

-7 = -3(1) + b

Multiply.

-7 = -3 + b

Add -3 to both sides

-4 = b

Substitute -4 as b into the equation

y = -3x - 4

Answer:

y = 2x

Step-by-step explanation:

Since x represents months and he learns 2 pieces each month, multiply those together.  

y is the number of pieces he knows, so this is what the equation will equal.

The equation is y = 2x

Answer:

please give brainliest

Step-by-step explanation:

396.253521127

The value of angle S is 53°

Exterior angle theorem states that the measure of an exterior angle of a triangle is equal to the sum of two remote interior angles.

With this theorem we can say that

7x+2 = 4x+13+19

collecting like terms

7x -4x = 13+19-2

3x = 30

divide both sides by 3

x = 30/3

x = 10

Since x = 10

angle S = 4x+13

angle S = 4(10) +13

= 40+13

= 53°

Therefore the measure of angle S is 53°

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