Aiden gave each member of his family a playlist of random songs to listen to and asked them to rate each song between 0 and 10. He compared his family’s ratings with the release year of each song and created the following scatterplot:
What would the linear equation be?

The amount Anne has is $31.

The amount James has is $66.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

James amount = x

Anne amount = y

x + y = 97

x = y/2 - 2

Now,

y/2 - 2 + y = 97

y/2 + y = 97 + 2

y + 2y = 99 x 2

3y = 198

y = 66

Now,

x = y/2 - 2

x = 66/2 - 2

x = 33 - 2

x =31

Thus,

Anne has $31.

James has $66.

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Answer:

9 lol

Step-by-step explanation:

sun of 4 and 5 is 9

difference between 8 and 7 is 9

multiply 9 by 1

Answer:

1/42

Step-by-step explanation:

1/7 ÷ 6/1

1 x 1 = 1

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

7 x 6 = 42

1/42

already simplified to the fullest

hope that helps!

Answer:

1

Step-by-step explanation:

Because of probability

The amount of simple interest on the installment plan for the computer is $144.

We have,

To calculate the amount of simple interest on a one-year installment plan for a computer that costs $2400 with a 6% interest rate, we can use the formula:

Simple Interest = Principal x Rate x Time

Where:

Principal = $2400 (the cost of the computer)

Rate = 6% (6/100 expressed as a decimal)

Time = 1 year

Plugging in,

Simple Interest = $2400 x 0.06 x 1

= $144

Therefore,

The amount of simple interest on the installment plan for the computer is $144.

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The number of times both services left the interchange together from 9am to 12 noon is 0.

Let's call the number of 15-minute intervals that have passed since 9 am "t".

So, the time that bus number 801 leaves the interchange after t intervals is 9am + 15t minutes.

Similarly, the time that bus number 802 leaves the interchange after t intervals is 9 am + 20t minutes.

For both services to leave the interchange at the same time, the number of 15-minute intervals that have passed since 9 am must be the same for both buses.

In other words, 15t must equal 20t.

Dividing both sides of this equation by 5, we get 3t = 4t.

This equation has no solution, which means that bus number 801 and bus number 802 never leave the interchange at the same time from 9am to 12 noon.

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Beau's average rate of completion per hour during the first 6 hours of his shift is approximately 4.6 tasks per hour.

Identify the function that represents Beau's completion rate per hour. In this case, the function is given as

S(t) = 0.6t² + t, where t represents the number of hours worked.

Determine the tasks completed at the starting time (t=0) and the ending time (t=6). Evaluating the function at these points, we have

S(0) = 0 tasks and

S(6) = 27.6 tasks.

Calculate the change in tasks by subtracting the initial tasks from the final tasks:

Change in tasks = S(6) - S(0) = 27.6 - 0

= 27.6 tasks.

Determine the change in time, which is 6 hours.

Compute the average rate of completion per hour by dividing the change in tasks by the change in time:

Average Rate = Change in tasks / Change in time

= 27.6 / 6

≈ 4.6 tasks per hour.

Therefore,  Beau's average rate of completion per hour during the first 6 hours of his shift is approximately 4.6 tasks per hour.

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Answer:

A ratio of 25 to 6 can be written as 25 to 6, 25:6, or 25/6. Furthermore, 25 and 6 can be the quantity or measurement of anything, such as students, fruit, weights, heights, speed and so on. A ratio of 25 to 6 simply means that for every 25 of something, there are 6 of something else, with a total of 31

Step-by-step explanation:

done hope u like it !!

Answer:

emm but .........where's the r?

Answer:

B. -4

Step-by-step explanation:

hdhegevegehehwhhehdyddhehehehhehehehrheyu3

The arrangement with the greatest equivalent capacitance is (A) EL HHH HA. arrangement A is uniquely identifiable as having the highest equivalent capacitance when compared to the others.

In this question, the letters represent the capacitors, and the symbols represent their connections. The equivalent capacitance of capacitors in series can be calculated using the formula:

1/C_eq = 1/C₁ + 1/C₂ + 1/C₃

In arrangement (A), the capacitors are connected in parallel (HHH), resulting in an increased equivalent capacitance. Then, this parallel combination is connected in series with another capacitor (EL) which does not affect the overall capacitance. Therefore, arrangement (A) has the greatest equivalent capacitance.

In arrangement (D), the capacitors are connected in series (HA) and then connected to an unknown symbol (€), which is not specified in the question. Without knowing the specific connection represented by (€), it is not possible to determine the equivalent capacitance.

Thus, arrangement (A) is the only one that can be determined to have the greatest equivalent capacitance among the given options.

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Answer:

1/2

Step-by-step explanation:

Rise over run. The rise is 4 the run is 8. Simplify.

1. For the arithmetic series 1/5 + 7/10 + 6/5 + ..., we can determine the common difference by subtracting each term from the previous term:
(7/10 - 1/5) = 3/10 and (6/5 - 7/10) = 5/10.
Since both differences are equal, the common difference is 3/10.

To calculate t10 (the 10th term), we can use the formula:
tn = a + (n - 1)d
where a is the first term, d is the common difference, and n is the term number.

Plugging in the values, we have:
t10 = (1/5) + (10 - 1)(3/10)
t10 = (1/5) + 9(3/10)
t10 = (1/5) + (27/10)
t10 = 17/5

To calculate s10 (the sum of the first 10 terms), we can use the formula:
s10 = (n/2)(2a + (n - 1)d)
where n is the number of terms.

Plugging in the values, we have:
s10 = (10/2)(2(1/5) + (10 - 1)(3/10))
s10 = 5(2/5 + 9(3/10))
s10 = 5(2/5 + 27/10)
s10 = 5(4/10 + 27/10)
s10 = 5(31/10)
s10 = 31/2

2. For the geometric series 100-50+25-..., we can determine the common ratio by dividing each term by the previous term:
(-50/100) = -1/2 and (25/-50) = -1/2.
Since both ratios are equal, the common ratio is -1/2.

To calculate t10 (the 10th term), we can use the formula:
tn = ar^(n-1)
where a is the first term, r is the common ratio, and n is the term number.

Plugging in the values, we have:
t10 = 100(-1/2)^(10-1)
t10 = 100(-1/2)^9
t10 = 100(-1/512)
t10 = -100/512

To calculate s10 (the sum of the first 10 terms), we can use the formula:
s10 = a(1 - r^n)/(1 - r)
where n is the number of terms.

Plugging in the values, we have:
s10 = 100(1 - (-1/2)^10)/(1 - (-1/2))
s10 = 100(1 - 1/1024)/(1 + 1/2)
s10 = 100(1023/1024)/(3/2)
s10 = (100 * 1023 * 2)/(1024 * 3)
s10 = 6800/3072

3. To calculate the time required to pay off the loan, we need to find the number of monthly payments. We can use the formula for the future value of an ordinary annuity:
A = P * ((1 + r)^n - 1) / r
where A is the future value, P is the monthly payment, r is the interest rate per period, and n is the number of periods

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The type of sampling described, where the researchers intentionally select a sample with 50% straight and 50% LGBTQ+ respondents, is known as "disproportionate stratified sampling."

A. Disproportionate stratified sampling involves dividing the population into different groups (strata) based on certain characteristics and then intentionally selecting a different proportion of individuals from each group. In this case, the researchers are dividing the population based on sexual orientation (straight and LGBTQ+) and selecting an equal proportion from each group.

B. Availability sampling (also known as convenience sampling) refers to selecting individuals who are readily available or convenient for the researcher. This type of sampling does not guarantee representative or unbiased results and may introduce bias into the study.

C. Snowball sampling involves starting with a small number of participants who meet certain criteria and then asking them to refer other potential participants who also meet the criteria. This sampling method is often used when the target population is difficult to reach or identify, such as in hidden or marginalized communities.

D. Simple random sampling involves randomly selecting individuals from the population without any specific stratification or deliberate imbalance. Each individual in the population has an equal chance of being selected.

Given the description provided, the sampling method of intentionally selecting 50% straight and 50% LGBTQ+ respondents represents disproportionate stratified sampling.

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(a) To find the probability that only one machine is in working condition after two days, we need to determine the probability of transitioning from state (1, 1) to state (1, 0) after two days.

From the transition probability matrix, we see that to transition from (1, 1) to (1, 0) in one day, both machines need to remain operational, which has a probability of (1 - p) * (1 - p) = (1 - p)^2.

Therefore, the probability of transitioning from (1, 1) to (1, 0) after two days is ((1 - p) * (1 - p))^2 = (1 - p)^4.

(b) To find the expected number of days until both machines are down, given that currently both machines are operational, we need to consider the transition probabilities from state (2, 0) to state (0, 1).

From the transition probability matrix, we see that to transition from (2, 0) to (0, 1) in one day, both machines need to fail, which has a probability of p * p = p^2.

Therefore, the expected number of days until both machines are down, given that both machines are currently operational, is 1 / (p^2).

(c) To find the steady-state probabilities, we need to solve the equation πP = π, where π is the row vector of steady-state probabilities and P is the transition probability matrix.

Solving this equation will give us the steady-state probabilities for each state (i, j). Since the given matrix is not provided, it is not possible to calculate the exact steady-state probabilities without the specific values of the transition probabilities.

(d) To determine the percentage change in the long-run average benefit per day if p changes from 0.3 to 0.2, we would need to know how the revenue R TL is related to the probability p. Without this information, it is not possible to calculate the percentage change.

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Answer:

21x2(x-3)

Step-by-step explanation:

Answer: Its C- 3(7x^2+5)(x-3)

Step-by-step explanation:

took it on edge2022

Answer:

Domain: (-∞, -5) (-1, ∞)

Step-by-step explanation:

Note:

For f(x) > 0: See the points of x for which the graph of f(x) lies above the x-axis.

For f(x) < 0: See the points of x for which the graph of f(x) lies below the x-axis.

We need to find the domain of f(x) for which f(x) < 0

From the graph, we can tell:

f(x) < 0 on (-∞, -5) ∪ (-1, ∞)

Therefore: The domain on which the given graph f(x) is negative, is (-∞, -5) ∪ (-1, ∞)

Answer:

rounded to the nearest tenth is 0.4

Answer:

7.85km

Step-by-step explanation:

Given data

Radius= 6km

θ= 75°

Arc length = 2πr (θ/360)

substitute

Arc length = 2*3.142*6 (75/360)

Arc length = 2*3.142*6*0.2083

Arc length = 7.85 km

Hence the length of the arc is 7.85km

The frequency table will list the number of travelers who liked each city. In this case, 124 travelers liked Indianapolis best, 416 liked St. Louis, 1225 liked Chicago, and the remaining number preferred Milwaukee.

The frequency table will present the preferences of the frequent business travelers while the relative frequency table will express these frequencies as a proportion of the total number of travelers. It will list the four cities (Indianapolis, St. Louis, Chicago, and Milwaukee) and their corresponding frequencies, which represent the number of travelers who preferred each city. According to information provided, 124 travelers liked Indianapolis, 416 liked St. Louis, 1225 liked Chicago, and the remaining number preferred Milwaukee.

The relative frequency table will express the frequencies as proportions relative to the total number of travelers. To calculate the relative frequency, the frequency of each city will be divided by the total number of travelers, which is 2200 in this case.

The resulting proportions will be rounded to three decimal places. The relative frequencies will indicate the proportion of travelers who preferred each city relative to the total number of respondents.

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The table with the scale measurements is given by the image shown at the end of the answer.

The measurements are obtained applying the proportion given for each table.

The symbols are given as follows:

For the first table, we have that every inch on the table represents one feet in real life, hence:

For the second table, we have that every inch on the paper represents two feet in real life, hence the measurements are given as follows:

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Answer:

6x-y = -18

Step-by-step explanation:

The requirements for a hypothesis test are satisfied.

To test the claim that the rate of polio is less for children given the Salk vaccine, we need to check if the requirements for a hypothesis test about two population proportions are met. The requirements are:

1. The samples are simple random samples and independent.
2. For each of the two groups, the sample size is at least 1000.

In this case, the study involved 401,974 children who were randomly assigned to two groups: the treatment group with 201,229 children and the placebo group with 200,745 children. This satisfies the first requirement, as the samples are simple random samples and independent. The sample size for both groups is also larger than 1000, meeting the second requirement.

Therefore, the requirements for a hypothesis test are satisfied, and we can proceed with testing the claim that the rate of polio is less for children given the Salk vaccine.

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The FOIL method, which stands for First, Outer, Inner, Last, is a technique commonly used to multiply binomials.

It involves multiplying the First terms, then the Outer terms, then the Inner terms, and finally the Last terms, and then combining the results. While the FOIL method works well for multiplying binomials, it is not applicable for multiplying all polynomials.

The reason the FOIL method cannot be used to multiply all polynomials is that it only applies to the specific case of multiplying two binomials with two terms each. When dealing with polynomials that have more than two terms or polynomials of higher degrees, the FOIL method does not provide a systematic approach to handle the multiplication.

For example, consider multiplying the polynomial (x + 2) with the polynomial (x^2 + 3x - 4). Applying the FOIL method, we would only multiply the First terms (x * x^2), the Outer terms (x * 3x), the Inner terms (2 * x^2), and the Last terms (2 * -4). However, this approach overlooks the multiplication between the terms of different degrees (e.g., x * 3x or 2 * x^2) and fails to account for all possible combinations.

To multiply more complex polynomials, we typically use more advanced methods such as the distributive property, grouping, or the use of matrices. These methods provide a systematic and comprehensive approach to handle polynomial multiplication in general, accommodating polynomials with any number of terms or degrees.

In summary, while the FOIL method is a helpful technique for multiplying binomials, it cannot be used for multiplying all polynomials due to its limited applicability. For more complex polynomials, alternative methods are necessary to ensure accurate and comprehensive multiplication.

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Answer:

17.5hrs

Step-by-step explanation:

Set they worked for x hours,

10x+35=210

10x=175

x=17.5

The probability of getting a full house is 0.001441 or 0.14%.

When you dealt five cards from a thoroughly shuffled standard check of cards then for the probability of getting a full house we need to know the total number of full house combinations and possible cards hands.

This is calculated by taking the number of possible full house combinations (3,744) and dividing it by the total number of possible 5-card hands (2,598,960). This can be written as :

Mathematically, this can be expressed as:

P(Full House) = 3,744 / 2,598,960 = 0.001441 or 0.14%

Therefore the probability of getting a full house is 0.001441 or 0.14%

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Answer:

15

Step-by-step explanation:

the range is the largest number take away the smallest number

56-41=15

According to the given statement In the given case- The  correct answer the predicted sales for different prices is 180.

Income = 34x

To break even, the company needs to sell 6 bracelets.

Given: C=4x+180 is the price (in dollars) of beads needed to make bracelets.

x is the quantity of bracelets.

The cost of each bracelet is $34.

To Locate:

A. Construct an equation that relates the revenue R to the quantity of bracelets.  

B. How many bracelets must be sold for the company to turn a profit?

Given that the bracelet costs $34,

Let's say x bracelets are sold.

Revenue formula: Price * Quantity

Income = 34x

The revenue R in terms of the quantity of bracelets is equal to 34x.

How many bracelets must be sold for the company to turn a profit

⇒4x+180

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Answer:

\(\huge\boxed{\sf x = 37}\)

Step-by-step explanation:

We know that,

The sum of interior angles of a triangle is 180 degrees.

So,

2x + 4 + 2x - 9 + x = 180

5x - 5 = 180

Add 5 to both sides

5x = 180 + 5

5x = 185

Divide both sides by 5

x = 185 / 5

x = 37

\(\rule[225]{225}{2}\)

Hope this helped!

Answer:

x = 5

y = 3

Step-by-step explanation:

x + 4y = 17

2x + 5y = 25

We multiply the first equation by -2

-2x - 8y = -34

2x + 5y = 25

-3y = -9

y = 3

Now we put 3 in for y and solve for x

x + 4(3) = 17

x + 12 = 17

x = 5

Let's Check the answer

5 + 4(3) = 17

5 + 12 = 17

17 = 17

So, x = 17 and y = 3 is the correct answer.

Answer:

$17.79

Step-by-step explanation:

9.72+8.07=17.79

Answer:

$17.34

Step-by-step explanation:

Just add

$8.07+$9.72