— 8х + 3y = 17
8x — 9y = — 19

(a) Example question: "How often do you look at social media while doing schoolwork?

(b) Sofie can select a simple random sample of students by using a random number generator to assign a unique identification number to each student in the online high school.

(c) The sample for Sofie's research is the 32 completed surveys she received. These surveys represent the responses of a subset of the population. The population, in this case, refers to all the students at the online high school.

(d) If Sofie uses only the completed surveys, she can conclude that approximately 50% (16 out of 32) of the students who completed the survey reported using social media while doing schoolwork.

(a) Please select one of the following options: never, rarely, occasionally, frequently, or always."

(b) She can then use the random number generator again to select a specific number of students from the entire population of students, ensuring that each student has an equal chance of being selected. For example, if there are 500 students in total and Sofie wants a sample size of 50, she can generate 50 random numbers and select the corresponding students based on their identification numbers.

(d) However, it is important to note that this conclusion is specific to the sample of completed surveys and cannot be generalized to the entire population of high school students.

To make an inference about the percent of all high school students who use social media while doing schoolwork, Sofie would need a larger and more representative sample that covers a wider range of students in the online high school.

Additionally, she should consider potential biases in the sample, such as non-response bias if the students who chose not to complete the survey have different social media usage patterns compared to those who did respond.

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Answer:

A $1.20

Step-by-step explanation:

Answer:   A) $1.20

Step-by-step explanation:   To get 10% of a number, you just need to divide by 10, so 12 ÷ 10 = 1.2.

0.054227406110177... is an irrational number.

There are only two types of number in which all the other subsets of numbers resides they are real numbers and imaginary numbers.

According to the statement given we have to determine whether  0.054227406110177... is rational or irrational.

We know rational numbers are of two types one which has a repeating pattern after the decimal so after that 1 repeating cycle we terminate the digits after it and write.

Next type of rational number which has a recurring pattern means a single digits repeats so we terminate every digit except one after the decimal place and write.

0.054227406110177... here we neither see repeating pattern nor do we see terminating pattern so this is an irrational number.

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Answer:

\(a_{n}\) = 2n - 3

Step-by-step explanation:

the nth term of an arithmetic sequence is

\(a_{n}\) = a₁ + d(n - 1)

where a₁ is the first term and d the common difference

given a₁ = - 1 and a₅ = 7 , then

a₁ + 4d = 7 , that is

- 1 + 4d = 7 ( add 1 to both sides )

4d = 8 ( divide both sides by 4 )

d = 2

then

\(a_{n}\) = - 1 + 2(n - 1) = - 1 + 2n - 2 = 2n - 3

\(a_{n}\) = 2n - 3

Answer:

Step-by-step explanation:

12 +4 - (-4)=13

12 +4 +4 =13

20 =13

20-13 =0

7=0

Is there any particular answer you need this channelled to?

Option 2 is correct that is 1.79

When presented in ascending order, the value that 75% of data points fall within is known as the higher quartile, or third quartile (Q3).

The quartiles formula is as follows:

Upper Quartile (Q3) = 3/4(N+1)

Lower Quartile (Q1) = (N+1) * 1/3

Middle Quartile (Q2) = (N+1) * 2/3

Interquartile Range = Q3 -Q1,

1.74, 0.24, 1.56, 2.79, 0.89, 1.16, 0.20, and 1.84 are available.

Sort the data as follows: 0.20, 0.24, 0.89, 1.16, 1.56, 1.74, 1.84, 2.79 in ascending order of magnitude.

The data set has 8 values.

hence, n = 8; third quartile: 3/4 (n+1)th term

Q3 =3/4 of a term (9) term

Q3 =27/4 th term

Q3 = 1.74 + 1.84 / 2 (average of the sixth and seventh terms)

equals 1.76

Thus Q3 is 1.76 that is option 2

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There are 30 of 1/10's in the number 3

From the question, we have the following parameters that can be used in our computation:

How many 1/10's are in 3?​

The above statement is a quotient expression that has the following features

Dividend = 3

Divisor = 1/10

So, we have

Quotient = Dividend /Divisor

Substitute the known values in the above equation, so, we have the following representation

Quotient = 3/(1/10)

Evaluate

Quotient = 30

Hence, there are 30 1/10's

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Answer:

If you don't agree or there's an error, let me know so I can edit.

Step-by-step explanation:

f(x) = x⁴ + 2

differentiate

f(x) = 4x³ + 0 =0

x(4x²) = 0

at x= 0 f(x) = 0 points = (0,0)

at x= 1. f(x) = 3 points = (4,3)......

The ordered pair is (4,3).

An ordered pair is a composition of the x coordinate (abscissa) and the y coordinate (ordinate), having two values written in a fixed order within parentheses. It helps to locate a point on the Cartesian plane for better visual comprehension. The numeric values in an ordered pair can be integers or fractions.

Given:

f(x) = x⁴ + 2

Now, differentiate the above function for the small values

f(x) = 4x³ + 0 =0

x(4x²) = 0

When x= 0

f(x) = 0

So, the points = (0,0)

when x= 1

f(x) = 3

so, the points = (4,3).

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The 95% confidence interval estimate for the population proportion of car deals that used 0% financing is (0.1612, 0.2308). So, the correct option is (b).

To construct a confidence interval estimate for the population proportion of car deals that used 0% financing, we can use the formula

CI = p ± z√((p(1-p))/n)

where

p = sample proportion = 98/500 = 0.196

n = sample size = 500

z = z-score for the desired level of confidence, which is 95% in this case. From a standard normal distribution table, the z-score corresponding to 95% confidence level is approximately 1.96.

Substituting the values, we get

CI = 0.196 ± 1.96√((0.196(1-0.196))/500)

= (0.1612, 0.2308)

Therefore, the 95% confidence interval estimate is (0.1612, 0.2308).

The correct answer is (b).

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The probability that Abu makes at least one mistake on the exam is 7/8.

Since each true or false question has two answer options and only one correct answer, Abu has a 1/2 chance of answering each question correctly by randomly picking an answer. Considering the three questions as independent events, the probability of answering all three questions correctly is (1/2) * (1/2) * (1/2) = 1/8.

To find the probability of making at least one mistake, we subtract the probability of answering all questions correctly from 1. Thus, the probability of making at least one mistake is 1 - 1/8 = 7/8.

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The position function of the particle with acceleration a(t) = 0.6t and initial velocity and position v(0) = 0 and s(0) = 8 is given by, s = 0.1 t³ + 8.

Given the equation for the acceleration with time (t) is,

a(t) = 0.6 t

We know that a = dv/dt so,

dv/dt = 0.6 t

dv = 0.6 t dt

Integrating both sides we get,

v = 0.6 (t²/2) + C, where C is an Integrating Constant.

v = 0.3 t² + C

here it is given that, v(0) = 0 so,

0 = 0.3 * (0)² + C

C = 0

So the particular equation becomes, v = 0.3 t²

Also we know that if the position of the point is 's' then the velocity v = ds/dt. So,

ds/dt = 0.3 t²

ds = 0.3 t² dt

Integrating both sides we get,

s = 0.3 (t³/3) + A, where A is an Integrating Constant.

s = 0.1 t³ + A

According to information, s(0) = 8 so,

8 = 0.1 * 0³ + A

A = 8

Hence the position function is, s = 0.1 t³ + 8.

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The acceleration vector can be written as a = (25/9)T + 0N, or simply a = (25)T. (option a).

To find the acceleration, we need to take the second derivative of the position vector r(t) with respect to time, which represents the rate of change of velocity. Let's start by finding the first derivative of r(t):

r'(t) = (d/dt)(9sin(5t/9) + 2)i + (d/dt)(9cos(5t/9) - 7)j + (d/dt)(12t)k

The unit tangent vector T is defined as the normalized version of the velocity vector, which is r'(t)/||r'(t)||. To find T, we calculate the magnitude of r'(t) and normalize it:

||r'(t)|| = √((25/9)²(sin²(5t/9) + cos²(5t/9))) = √((25/9)²) = 25/9

Therefore, the unit tangent vector T is given by:

T = r'(t) / ||r'(t)|| = [(25/9)(-sin(5t/9))i - (25/9)(cos(5t/9))j] / (25/9) = (-sin(5t/9))i - (cos(5t/9))j

The unit normal vector N is perpendicular to the unit tangent vector T and is given by N = (cos(5t/9))i - (-sin(5t/9))j, or simplifying it, N = (cos(5t/9))i + (sin(5t/9))j.

Now, we can express the acceleration vector in the form atT + anN by taking the dot product of r''(t) with T and N:

aT = r''(t) · T = (25/9)(-sin(5t/9))(-sin(5t/9)) + (25/9)(cos(5t/9))(-cos(5t/9)) = 25/9

aN = r''(t) · N = (25/9)(-sin(5t/9))(cos(5t/9)) + (25/9)(cos(5t/9))(sin(5t/9)) = 0

Therefore, the correct answer is: A) a = 25T

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After considering the given data we conclude that there truth table is possible and is placed in the given figures concerning every sub question.

A truth table is a overview that projects  the truth-value of one or more compound propositions for each possible combination of truth-values of the propositions starting up the compound ones.
Every row of the table represents a possible combination of truth-values for the component propositions of the compound, and the count of rows is described by the range of possible combinations.
For instance, if the compound has just two component propositions, it comprises  four possibilities and then four rows to the table. The truth-value of the compound is projected on each row comprising the truth functional operator.
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Answer:

Step-by-step explanation:

Volume of Sphere =4/3л\(r^{3}\) = (4/3)*3.14*48*48*48 = 463011 \(mm^{3}\) =46300

Statisticians calculate the Consumer Price Index (CPI) by combining the 80,000 prices of individual products using a weighted average based on their relative importance or expenditure weights.

The Consumer Price Index is a measure of the average change over time in the prices paid by urban consumers for a basket of goods and services. To calculate the CPI, statisticians collect price data for a representative sample of approximately 80,000 individual products that are commonly purchased by urban consumers. These products cover a wide range of categories, including food, housing, transportation, healthcare, and more.

Each product's price is then multiplied by its respective expenditure weight, which represents the proportion of total consumer spending allocated to that product. These weights are determined through surveys and data analysis to reflect the typical spending patterns of urban consumers. The resulting values are then summed up to obtain a total expenditure amount.

To calculate the CPI, statisticians divide the total expenditure by a base period expenditure and multiply the result by 100. The base period is typically a reference point or benchmark year against which the price changes are measured. This process allows for tracking and comparing price changes in the basket of goods and services over time, providing insight into inflation and changes in the cost of living.

In summary, statisticians calculate the Consumer Price Index by combining the prices of 80,000 individual products using a weighted average based on their expenditure weights, representing the relative importance of each product in urban consumers' spending patterns. This method allows for measuring and monitoring changes in the overall price level and cost of living.

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Answer:

\(y=\frac{1}{2} x-3\)

which looks like the second answer option you have listed

Step-by-step explanation:

In order to express a linear equation in slope-intercept form, one just needs to solve for "y" in the equation:

\(6y-3x=-18\\6y=3x-18\\y=\frac{3x-18}{6} \\y=\frac{1}{2} x-3\)

Answer:

B

Step-by-step explanation:

on edge 2021

hope this helps!!

Answer:

a = 2

Step-by-step explanation:

Given:

To find:

Steps:

a = V^1/3 = 8^1/3 = 2

Answer:

1/4

Step-by-step explanation:

a^2

Let a= 1/2

(1/2)^2

(1/4)

\(\huge\textsf{Hey there!}\)

\(\mathsf{a^2}\\\\\mathsf{= \ (\dfrac{1}{2})^2}\\\\\mathsf{= \ \dfrac{1}{2}\times\dfrac{1}{2}}\\\\\mathsf{= \ \dfrac{1\times1}{2\times2}}\\\\\mathsf{= \ \bf \dfrac{1}{4}}\)

\(\boxed{\boxed{\large\textsf{Therefore, the ANSWER is: }\boxed{\mathsf{\bf \dfrac{1}{4}}}}}\huge\checkmark\)

\(\huge\textsf{Good luck on your assignment \& enjoy your day!}\)

~\(\frak{Amphitrite1040:)}\)

The outcomes with at least two tails are (T, T, H), (T, H, T), (H, T, T), and (T, T, T), which have a total of 4 outcomes.

The probability of getting at least two tails is 4/8 = 1/2. Therefore, the answer is (c) 1/2.

The economic life cycle analysis does not take into account factors such as technological advancements or changes in regulatory requirements, which can affect the optimal replacement interval.

Yet, it is important to review and update the analysis periodically to ensure that the replacement interval remains optimal.

There are the normal steps for calculating the optimum replacement interval using the economic life cycle analysis:

1. Estimate the annual maintenance and repair costs for the item, based on historical data or industry standards.

2. Estimate the annual operating costs for the item, such as energy or fuel costs.

3. Compare the total cost of ownership for the item over its expected useful life to the cost of replacing the item with a newer or more efficient model.

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Answer:

y = -3/2x + 3

According to the corresponding angle theorem angles that are equal to each other are ∠2≅∠6

According to the corresponding angles theorem if the transversal intersects with two parallel lines the corresponding angles will be equal

Here horizontal and parallel lines are c and d which are cut by transversal by p

Angles on line c are 1, 2, 3, 4 clockwise, from uppercase left

The angle on line d are 5, 6, 7, and 8 clockwise, from uppercase left,

Angles which correspond to each other are

∠1≅∠5, ∠2≅∠6, ∠3≅∠7, ∠4≅∠8

Hence by corresponding angle theorem angle 2 will be equal to angle 6.

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Answer: B. ∠2≅∠6

Step-by-step explanation: RIGHT ON EDGE 2023

The 95% confidence interval for the proportion of all Californians who considered moving out of state is (0.504, 0.530). We can be 95% confident that the true proportion of all Californians who considered moving out of state lies between 50.4% and 53.0%.

The UC Berkeley Institute of Governmental Studies conducted a poll in 2019 with 4,527 respondents in California, where 51.7% of them reported considering moving out of the state. The objective is to calculate a 95% confidence interval for the proportion of all Californians who considered moving out of state, given the sample size and proportion.

B. The formula to calculate the confidence interval for a proportion is:

CI = p^ ± z* √[(p^(1-p^))/n]

Where p^ is the sample proportion, n is the sample size, and z* is the critical value of the standard normal distribution for the desired confidence level. For a 95% confidence level, z* = 1.96.

Substituting the given values into the formula, we get:

CI = 0.517 ± 1.96 * √[(0.517*(1-0.517))/4527]

CI = 0.517 ± 0.013

The 95% confidence interval for the proportion of all Californians who considered moving out of state is (0.504, 0.530). Therefore, we can be 95% confident that the true proportion of all Californians who considered moving out of state lies between 50.4% and 53.0%.

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Answer:

x=the circumference of absolute end triangularitizeationing particle matter

Answer:

Answer is y=6 (option C).

Step-by-step explanation:

|10 - 5y| = 20

First equation is just as written for first solution:

10 - 5y = 20

Subtract 10 from both sides to eliminate the 10.

-5y = 10

divide both sides by -5 to eliminate the -5 and isolate the y.

y = -2

Distribute negative sign through equation for a second solution.

|10 - 5y| = 20

-(10 - 5y) = 20

-10 + 5y = 20

Add 10 to both sides to eliminate the 10.

5y = 30

divide both sides by 5 to eliminate the 5 and isolate the y.

y = 6

y = 6 is the only answer listed in the 4 options.

Answer:

(4,1) I believe. Do you mean in a graph with coordinates?

Step-by-step explanation:

Step-by-step explanation:

by summing them two

-9x^2 -7x + 16

Answer:

Real numbers

0≤ t ≤17

Step-by-step explanation:

Answer:

Real numbers

0≤ t ≤17

Step-by-step explanation:

Answer:

The answer should be -156-61i