By solving simultaneous equations, work out
the coordinates of the point where the two
lines below intersect.
2x+y=8 y
0
y=3x-2
X

The range, population variance, and population standard deviation for the given data set are 28, 83.36, and 9.12,

To calculate the range, population variance, and population standard deviation for a given data set, we can use the following formulas:

Range = max value - min value

Population variance = (∑(x - mean)^2) / n

Population standard deviation = √(population variance)

Where "x" represents each individual value in the data set, "mean" is the average of the values in the data set, and "n" is the total number of values in the data set.

For the given data set {8, 3, 10, 10, 8, 3, 4, 5, 7, 31}, the range is 31 - 3 = 28.

The mean of the data set is (8 + 3 + 10 + 10 + 8 + 3 + 4 + 5 + 7 + 31) / 10 = 10.6.

The population variance is

\([(8 - 10.6)^2 + (3 - 10.6)^2 + (10 - 10.6)^2 + (10 - 10.6)^2 + (8 - 10.6)^2 + (3 - 10.6)^2 + (4 - 10.6)^2 + (5 - 10.6)^2 + (7 - 10.6)^2 + (31 - 10.6)^2] \div 10 = 83.36.\)

The population standard deviation is √(83.36) = 9.12.

Therefore, the range, population variance, and population standard deviation for the given data set are 28, 83.36, and 9.12, respectively.

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The graph is a downward-opening parabola opening downward with its vertex at (2,0). Therefore, the correct option is C.

The equation y = -16t^2 + 64t + 16 represents the path of a projectile launched from a 16-ft-tall tower. To determine the correct graph, we can analyze the equation. The coefficient of t^2 (-16) is negative, indicating a downward-opening parabola. The coefficient of t (64) determines the horizontal shift of the graph, and in this case, t = 4 represents the maximum height of the projectile. The constant term (16) represents the initial height of the tower.

Considering these factors, we find that the correct graph of the equation is option C. It depicts a downward-opening parabola with its vertex at (2,0). The parabola starts at an initial height of 16 ft (the tower's height) and descends symmetrically from its vertex.

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Answer:

brah

Step-by-step explanation:

Answer:

21 Oreos

Step-by-step explanation:

2 × 3 = 6

7 × 3 = 21

hope this helps

Answer:

14x - 10

Step-by-step explanation:

-2(-4x+5)+6x

8x -10 + 6x

14x - 10

Answer:

it is easy use the formula of triangle which is 1/2(base × height) and base is the side where the height touches and height means the perpendicular line.

And in some cases there may be the use of pythagoras theorem

Answer:

1/2 (9)3.1 = 13.95

1/2 (6)5.5 = 16.5

1/2 (12)4.4 = 26.4

1/2 (4)6.7 = 13.4

The values of x less than or equal to 0.693, we can replace \(sin(x) by x - x^3/6\)  with an error magnitude no greater than \(9x10^-5.\)

To approximate the values of x for which we can replace sin(x) by x - x^3/6 with an error magnitude no greater than \(9x10^-5,\)we can use Taylor series expansion. The Taylor series expansion of sin(x) is given by sin(x) \(= x - x^3/6 + x^5/120\)- ... The error term is determined by the remainder of the Taylor series, which can be bounded by the next term in the series.

In this case, the error term is given by the magnitude of the next term, which is\(x^5/120.\)We want this error to be less than or equal to\(9x10^-5.\)Setting up the inequality\(x^5/120 ≤ 9x10^-5,\) we can solve for x.

Simplifying the inequality, we have \(x^5 ≤ 1080x10^-5.\)Taking the fifth root of both sides, we get \(x ≤ (1080x10^-5)^(1/5)\). Evaluating this expression, we find that x ≤ 0.693.

Therefore, for values of x less than or equal to 0.693, we can replace sin(x) by \(x - x^3/6\) with an error magnitude no greater than \(9x10^-5.\)

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Answer:y=4/3x-18/3

Step-by-step explanation:

4x-3y=18

3y=4x-18

y=4/3x-18/3

Answer:

Hi, there your answer is     \(y=\frac{4}{3} x -6\)

Step-by-step explanation:

Let's solve for y.

8x−6y=36

Step 1: Add -8x to both sides.

8x−6y+−8x=36+−8x

−6y=−8x+36

Step 2: Divide both sides by -6.

\(\frac{-6y}{-6} =\frac{-8x+36}{-6}\)

\(y=\frac{4}{3} x-6\)

Hope This Helps :)

The player's average profit per game in the long run will be -$0.25.

To calculate the average profit per game, we need to determine the probabilities of each outcome and multiply them by the corresponding profit or loss.

When flipping a fair coin twice, there are four possible outcomes: no heads (Tails-Tails), one head (Tails-Heads or Heads-Tails), or two heads (Heads-Heads). Each outcome has a 1/4 probability of occurring because the coin is fair.

For no heads, the player loses $1 because they are charged to play the game. So the profit is -$1.

For one head, the player receives $1. Since there are two ways to get one head, the total profit for this outcome is 2 * $1 = $2.

For two heads, the player receives $5. So the profit for this outcome is $5.

Now, we calculate the average profit per game by multiplying each profit by its corresponding probability and summing them up:

(-$1 * 1/4) + ($2 * 1/4) + ($5 * 1/4) = -$0.25

Therefore, the average profit per game in the long run is -$0.25.

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Answer:

20

Step-by-step explanation:

If no chips are bought, then:

0.5x + 0.75(0) = 10

0.5x = 10

x = 20

Step-by-step explanation:

90% of 700=90/100×700=630

Answer:

630

Step-by-step explanation:

A numerical data is also referred to as a quantitative data and it can be defined as a data set that is primarily expressed in numbers (numerals) only. This ultimately implies that, a numerical data refers to a type of data set consisting of numbers (numerals) rather than words.

Based on the information provided, the number of cards (c) in each pack can be modeled by the following mathematical expression (equation):

Note: 100 cent is equal to 1 dollar.

First pack:        0.25c = 3

Second pack:  0.3c = 3

Now, we can determine the number of cards (c) in the first pack as follows:

0.25c = 3

c = 3/0.25

Number of cards, c = 12 cards.

For the second pack, we have:

0.3c = 3

c = 3/0.3

Number of cards, c = 10 cards.

Therefore, there are 12 cards in the first pack, and there are 10 cards in the second pack.

Difference = First pack - Second pack

Difference = 12 - 10

Difference = 2 cards.

In conclusion, the first pack has 2 more cards than the second pack.

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The least common multiple refers to the common multiple for the give numbers.

Among the answer choice, number 3 makes more sense. All the product of the common factors is the LCM.

The Binomial 5 - 3c to have a value greater than 80, c must be less than -25.

1. For the binomial 2x - 1 to have a positive value, the expression 2x - 1 needs to be greater than zero. In other words:

2x - 1 > 0.

To solve this inequality, we isolate x by adding 1 to both sides:

2x > 1.

Then, we divide both sides by 2:

x > 1/2.

So, for the binomial 2x - 1 to have a positive value, x must be greater than 1/2.

2. For the binomial 21 - 3y to have a negative value, the expression 21 - 3y needs to be less than zero. In other words:

21 - 3y < 0.

To solve this inequality, we isolate y by subtracting 21 from both sides:

-3y < -21.

Then, we divide both sides by -3, remembering to flip the inequality sign because we are dividing by a negative number:

y > 7.

So, for the binomial 21 - 3y to have a negative value, y must be greater than 7.

3. For the binomial 5 - 3c to have a value greater than 80, the expression 5 - 3c needs to be greater than 80. In other words:

5 - 3c > 80.

To solve this inequality, we isolate c by subtracting 5 from both sides:

-3c > 75.

Then, we divide both sides by -3, remembering to flip the inequality sign:

c < -25.

So, for the binomial 5 - 3c to have a value greater than 80, c must be less than -25.

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Answer:

32.5 - 18.3 = 14.2 meters of the pipe was left.

\(\qquad \qquad\huge \underline{\boxed{\sf Answer}}\)

For the given question, we have to perform simple subtraction :

\( \qquad \sf  \dashrightarrow \: 32.5 - 18.3\)

\( \qquad \sf  \dashrightarrow \:14 .2 \: m\)

Answer:

y = $30x ;

1 : $30

Step-by-step explanation:

Given that :

$60 is saved in electricity bill for every 2 panels

Model, y

Amount saved, y = amount saved per panel * number of panels

Let number of panels = x

Hence, total amount saved, y ;

y = $30x

Ratio of panels to money saved :

Number of panels : amount of money saved

2 : $60

1 : $30

Hence, $30 is saved in cost of electricity bill per 1 solar panel purchased.

Answer:

210 miles

Step-by-step explanation:

Let's represent it mathematically.

Ben drove 65 miles more than half the number of miles Steve drove, so we represent it by

B = 65 + ½S

It is also said that together, they drove 500 miles, we represent it with.

B + S = 500

Now, we solve simultaneously.

Let's eliminate the ½ in Ben's drive. So we multiply the equation by 2.

2B = 130 + S.

Rearranging, we have

S = 2B - 130.

We substitute this value of S, in the second equation. So we have.

B + (2B - 130) = 500, open the brackets

B + 2B - 130 = 500

3B - 130 = 500, collecting the like terms

3B = 500 + 130

3B = 630

B = 630/3

B = 210 miles.

Therefore, Ben drove 210 miles.

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Answer:

Step-by-step explanation:

Given a complex number z = x+iy, the modulus of the complex number is expressed as |z| = √x²+y².

Given the complex number z = 9+40i

The modulus of the complex number z will be expressed as;

|z| = √9²+40²

|z| = √81+1600

|z| = √1681

|z| = 41

Hence the modulus of the complex number |9+40i| is 41. Note that a complex number will return a real value.

Answer:

|9+40i| = 41

|-10+24i| = 26

He should have used 13 instead of 13i.

Step-by-step explanation:

PLEASE MARK BRAINLIEST

Edge 2021

The area of the Triangle given in the question is 4.7

Area of Triangle = 1/2(base × height )

Using the vertex , we can obtain the height of the triangle thus:

height = 1.873

Inserting the parameters into the Area formula :

height = 1.873

base = 5

Area of Triangle = 1/2 × 5 × 1.873

Area of Triangle= 4.68

Therefore, the area of the triangle is 4.7

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Answer:

7

9+12/3-6

12/3=4

9+4-6

9+4=13

13-6=(7)

Step-by-step explanation:

Answer:

"E" (and any subsequent words) was ignored because we limit queries to 32 words.

Step-by-step explanation:

To determine whether Angelica's transformed figure matches A"B"C"D"E" after reflecting ABCDE over the y-axis and translating it up 8 units, we need to first understand what A"B"C"D"E" is.

A"B"C"D"E" is the image of ABCDE under a reflection over the y-axis, followed by a translation up 8 units. So if Angelica's transformation is equivalent to this sequence of operations, then her transformed figure will match A"B"C"D"E".

Let's first perform the reflection over the y-axis on ABCDE. To do this, we need to negate the x-coordinates of each point:

A (-2, 3) -> A' (2, 3)

B (-4, 1) -> B' (4, 1)

C (-3, -2) -> C' (3, -2)

D (-1, -2) -> D' (1, -2)

E (1, 1) -> E' (-1, 1)

Now let's translate this figure up 8 units:

A' (2, 3) -> A" (2, 11)

B' (4, 1) -> B" (4, 9)

C' (3, -2) -> C" (3, 6)

D' (1, -2) -> D" (1, 6)

E' (-1, 1) -> E" (-1, 9)

Therefore, A"B"C"D"E" has vertices A" (2, 11), B" (4, 9), C" (3, 6), D" (1, 6), and E" (-1, 9).

If Angelica's transformed figure is identical to A"B"C"D"E", then its vertices will also be A" (2, 11), B" (4, 9), C" (3, 6), D" (1, 6), and E" (-1, 9).

Without knowing what ABCDE looks like, we cannot determine whether Angelica's transformed figure matches A"B"C"D"E". However, we can say that Angelica's transformed figure will have the same shape and orientation as ABCDE, but will be reflected over the y-axis and shifted up 8 units.

Answer:

sorry i cant load picture

Answer:

mean=9

Step-by-step explanation:

5+11+14+10+8+6

54

54/6

9

Hope u got it

If you have any question just ask me

Answer:

14.6

Step-by-step explanation:

In the question, we are told that:

Yivgeny's gymnastics scores were 1.5, 1.7, 5.5, and 9.1.

In the question, we are also told that to calculate his total score, we add his top two scores.

Yivgeny's top two gymnastics scores are:

5.5 and 9.1.

Hence, his total scores = 5.5 + 9.1

= 14.6

Yivgeny's total scores = 14.7

Answer:

The anwser is A the first one 8y+12x= 150 and x+y+ 12

Step-by-step explanation:

First you need the prices to equal how much money she had, im guessing she had 150 because all the anwsers say she did by looking at them. So, that gives you 8y and 12x is less or equal to 150. Then oboulsly the cominded number of books x and why must be at least (greater or equal to)  12 giving x+y is greater or equal to 12

The standard deviation for the number of wins is approximately 0.1567.

The probability of winning the lottery is \($p = 1/9999$\). If a person plays the lottery \($n$\) times, the number of wins \($X$\) follows a binomial distribution with parameters \($n$\) and \($p$\). The mean of \($X$\) is given by \($\mu = np$\), and the variance is given by \($\sigma^2 = np(1-p)$\). Therefore, the standard deviation is\($\sigma = \sqrt{np(1-p)}$\).

In this case, the person plays the lottery 246 times. Thus, the expected number of wins is \($\mu = np = 246 \times \frac{1}{9999} = 0.0246$\), and the variance is \($\sigma^2 = np(1-p) = 246 \times \frac{1}{9999} \times \frac{9998}{9999} = 0.0245$\). Therefore, the standard deviation is \($\sigma = \sqrt{0.0245} \approx 0.1567$\).

Thus, the standard deviation for the number of wins is approximately 0.1567.

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Answer:

42

Step-by-step explanation:

180-96-42=84-42=42

Answer:

p=180°-96°-42°

p=42°

...................................

Answer:

(-2, -1)

Step-by-step explanation:

The easiest way to approach this problem is to think of each quadrant as being 90 degrees. As you can see, each quadrant has a 90 degree angle.

If we were to move 2 quadrants (or 180 degrees) clockwise, we would end up in the third quadrant (- , -)

Because we are moving clockwise on the graph, the shape would also turn clockwise. 180 degrees is the halfway point, so the shape will appear to be upside down.

If you're a visual learner, I'd recommend finding a website with an online graph (something like desmos or geogebra) that would allow you to actually graph the points and change their position with commands.

Hope this helps :)

The correct answer is d) All of the above. Regression analysis results are often abused by using the model without understanding its context, predicting outside the data range without acknowledging extrapolation, and disregarding known scientific and economic theories related to the model and its variables.

Regression analysis is a statistical method used to examine the relationship between variables and make predictions based on the observed data. However, the misuse and misinterpretation of regression analysis can lead to erroneous conclusions.

Firstly, using the model without understanding its context can be problematic. The development and recommendation of a regression model are typically based on specific assumptions and limitations, as well as the data used in its construction. Applying the model to a different context without considering these factors may lead to inaccurate predictions or interpretations.

Secondly, predicting outside the region of the data without recognizing that it involves extrapolation is another common misuse of regression analysis. Extrapolation involves making predictions beyond the observed data range, which can be risky since the relationship between variables may not hold true outside the data range. Extrapolation should be approached cautiously and accompanied by a clear acknowledgement of its inherent uncertainties.

Lastly, ignoring known scientific and economic theory related to the model and its variables can also lead to misuse. Regression analysis should be interpreted in the context of existing theories and domain knowledge. Disregarding established theories can result in flawed conclusions or invalid interpretations of the regression model's results.

In conclusion, regression analysis should be used with care and understanding. It is crucial to consider the context, acknowledge the limitations of extrapolation, and incorporate relevant scientific and economic theories to ensure the appropriate use and interpretation of regression analysis results.

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