2. (3 marks) Parametrize the following ellipse counter clockwise 2x² + 8x + 3y^2 – 6y + 5 = 0. .

The probability that less than 2 people will return the purchased items on the web be, 0.52822

Given, a research claims that 30% of people, who purchase items on the web of a specific store, return it.

Now, if we pick 5 people who purchase via the web,

then we have to find the probability that less than 2 will return their purchase

we have to find, P(X < 2)

Now, n = 5

p = 0.3

q = 0.7

P(X < 2) = P(X = 0) + P(X = 1)

P(X < 2) = C(5 , 0)(0.3)^0(0.7)^5 + C(5 , 1)(0.3)^1(0.7)^4

P(X < 2) = (0.16807) + (0.2401)(0.3)(5)

P(X < 2) = 0.16807 + 0.6015

P(X < 2) =  0.52822

So, the probability that less than 2 will return be, 0.52822

Hence, the probability that less than 2 will return be, 0.52822

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Answer: The first answer choice

AKA: y = -1.74x + 46.6

Step-by-step explanation:

If a regression line is parallel to the horizontal axis of a scattergram, it means that there is no relationship between the two variables being plotted. In this case, the slope (b) of the regression line would be zero.

When we perform a linear regression analysis, we are trying to find the best-fitting line that represents the relationship between the independent variable (x) and the dependent variable (y). The slope (b) of this line represents the rate of change between the two variables. If the regression line is parallel to the horizontal axis, it suggests that there is no change in the dependent variable for any change in the independent variable.

The general equation for a linear regression line is:

y = a + bx

Here, "a" represents the y-intercept (the value of y when x is zero) and "b" represents the slope. When the regression line is parallel to the horizontal axis, it means that the line is perfectly horizontal, and the dependent variable (y) does not change as the independent variable (x) changes.

Mathematically, this can be represented as:

y = a + 0x

y = a

In this equation, the slope (b) is zero because there is no change in the dependent variable (y) for any change in the independent variable (x). The value of y remains constant, resulting in a horizontal line parallel to the x-axis.

To further explain, when the slope (b) is zero, it indicates that there is no linear relationship between the two variables. In a scattergram, the points are spread out randomly and do not follow any specific trend or pattern. Each value of x corresponds to a single value of y, and these values do not exhibit any systematic change as x increases or decreases.

Visually, a regression line that is parallel to the horizontal axis will appear as a flat line, with all points lying on the same y-value. This indicates that the dependent variable does not depend on the independent variable and remains constant across all values of x.

In conclusion, when a regression line is parallel to the horizontal axis in a scattergram, the slope (b) of the line is zero. This indicates that there is no linear relationship between the variables being analyzed, and the dependent variable does not change as the independent variable varies. The absence of a slope suggests that the two variables are not related in a linear fashion, and the scattergram does not exhibit any pattern or trend.

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The length of the actual park for 273 inches drawing is 126 yards. If the answer need is on inches, the actual park will be 4536 inches.

As per given the scale is 13 inches : 6 yards where the left sides describes the drawing length and the right describes the actual park length.  Assume the actual park for 273 as x ,then do the comparison:

13 : 6 = 273 : x

13 x = 6 x 273  

13x = 1638

x = 1638 : 13

x = 126

Hence, the length of the actual park is 126 yards

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Answer:The length of the actual park for 273 inches drawing is 126 yards. If the answer need is on inches, the actual park will be 4536 inches.

Step-by-step explanation:

How to calculate the actual park?

As per given the scale is 13 inches : 6 yards where the left sides describes the drawing length and the right describes the actual park length.  Assume the actual park for 273 as x ,then do the comparison:

13 : 6 = 273 : x

13 x = 6 x 273  

13x = 1638

x = 1638 : 13

x = 126

Hence, the length of the actual park is 126 yards

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The given statement mathematical and statistical tools give us many ways to rate the overall performance of a system and its components is True.

Mathematical and statistical tools provide various methods to assess and evaluate the performance of a system and its individual components. These tools enable quantitative analysis , modeling , prediction , and inference , allowing us to measure and interpret the effectiveness , efficiency, reliability, and other relevant characteristics of systems and their components.

Examples of such tools include statistical analysis, regression analysis, hypothesis testing, optimization techniques, control charts, simulation, and more.

Therefore, the given statement is true.

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Complete question is below

Mathematical and statistical tools give us many ways to rate the overall performance of a system and its components.

true or false

Answer:

X=3.5

Step-by-step explanation:

9=x2+2

9-2=x2

(9-2)÷2=x

Answer:

A

Step-by-step explanation:

To determine if a point lies on the curve, substitute the x- coordinate into the equation. If the value obtained is equal to the y- coordinate then the point lies on the curve, that is

A

y = (\(\frac{3}{2}\) )² = \(\frac{9}{4}\) ≠ \(\frac{9}{2}\) ← not on line

B

y = (- 1)² = 1 ← lies on line

C

y = 4² = 16 ← lies on line

D

y = (\(\frac{1}{2}\) )² = \(\frac{1}{4}\) ← lies on line

The time Jodie have left to match the record of Mandy is 15.11 seconds

Jodie:

= 40.25 seconds

Time spent on the rope = 12.84 seconds

Total time spent = 40.25 seconds + 12.84 seconds

= 53.09 seconds

Total time she have left to match the record = Mandy's obstacle course - Total time spent

= 68.2 seconds - 53.09 seconds

= 15.11 seconds

Therefore, the time Jodie have left to match the record of Mandy is 15.11 seconds

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Answer:

.7

Step-by-step explanation:

because you see here that under tennis you see 7 and yeah sometimes I am not all right I am sure

Answer: 0.25

Step-by-step explanation:

It's 0.25 because the total is 28 and if you divide 7 from 28, you get 4, to make sure this is correct we should multiply 4 by 7 and that is 28. Since it's asking how many people prefer tennis more than the other sports in decimal form, 7/28 is equivalent to 1/4 and 1/4 is equivalent to 0.25 since 1/4 x 4 is 1 and 0.25 x 4 is also 1.

The best way for Abdulbaasit to buy the car would be to opt for the bank loan with the cash discount, as it offers a lower monthly payment and immediate cost savings.

To determine the best way to buy a car, we need to compare the financing options provided by the dealership and the bank. Let's evaluate both scenarios:

1. Financing at the dealership:

- Car price: $30,000

- Interest rate: 2.4% per year, compounded monthly

- Loan term: 5 years (60 months)

Using the provided interest rate and loan term, we can calculate the monthly payment using the formula for monthly loan payments:

Monthly interest rate = \((1 + 0.024)^(1/12)\) - 1 = 0.001979

Loan amount = Car price = $30,000

Monthly payment = Loan amount * (Monthly interest rate) / (1 - (1 + Monthly interest rate)^(-Loan term))

Plugging in the values:

Monthly payment = $30,000 * 0.001979 /\((1 - (1 + 0.001979)^(-60)) =\)$535.01 (approximately)

2. Bank loan with a cash discount:

- Car price with the $3,000 cash discount: $30,000 - $3,000 = $27,000

- Interest rate: 5.4% per year, compounded monthly

- Loan term: 5 years (60 months)

Using the provided interest rate and loan term, we can calculate the monthly payment using the same formula as above:

Monthly interest rate = (1 + 0.054)^(1/12) - 1 = 0.004373

Loan amount = Car price with cash discount = $27,000

Monthly payment = $27,000 * 0.004373 / (1 - (1 + 0.004373)^(-60)) = $514.10 (approximately)

Comparing the two options, we can see that the bank loan with the cash discount offers a lower monthly payment of approximately $514.10, compared to the dealership financing with a monthly payment of approximately $535.01. Additionally, with the bank loan option, Abdulbaasit can pay immediately in cash and save $3,000 on the car purchase.

Therefore, the best way for Abdulbaasit to buy the car would be to opt for the bank loan with the cash discount, as it offers a lower monthly payment and immediate cost savings.

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Answer:

Step-by-step explanation:

-5a-4a+b

-5a-4a are like terms

-5a-4a+b

-9a+b

please mark this answer as brainlist

The percentage of Measurements that are 124.4 or higher is approximately 0.99%.

In order to determine the percentage of measurements that are 124.4 or higher in a population of measurements that is approximately normal with a mean of 95 and a standard deviation of 15, we need to use the z-score formula.

The z-score formula is used to standardize a distribution so that it can be compared to a normal distribution with a mean of 0 and a standard deviation of 1.

The formula for calculating the z-score is: z = (x - μ) / σWhere:x is the measurement we want to standardize.μ is the population mean.σ is the population standard deviation.

The first step is to calculate the z-score for the measurement of 124.4:z = (124.4 - 95) / 15z = 2.2933The second step is to find the percentage of measurements that are 124.4 or higher using a standard normal distribution table. We look up the area to the right of the z-score of 2.2933 in the table.

The closest value in the table is 0.9901, which corresponds to a z-score of 2.33. We know that the area to the left of a z-score of 2.33 is 0.9901, so the area to the right of a z-score of 2.33 is:1 - 0.9901 = 0.0099

This means that approximately 0.99% of the measurements are 124.4 or higher.

Therefore, the percentage of measurements that are 124.4 or higher is approximately 0.99%.

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The most plausible sequence for the percent of yellow candies obtained in the five samples is 35%, 35%, 35%, 35%, 5%, 60%.

Since the manufacturer produces 35% yellow candies, it is reasonable to expect that the majority of the samples will have a percentage close to 35%.

The first four samples are all 35%, which is the most likely outcome considering the manufacturer's production rate. The fifth sample of 5% is also plausible since it is possible to randomly select a sample with a lower percentage of yellow candies.

The last sample of 60% is less likely but still within the realm of possibility, as some random samples may have a higher concentration of yellow candies.

Therefore, the sequence of percentages 35%, 35%, 35%, 35%, 5%, 60% is the most realistic among the given options.

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The radius of circle B is 8/9 units.

In the question, we are asked to find the radius of the circle with a center at B, given that the radius of a circle with a center at A is 1 unit, and circles with a center at B and C are congruent.

The radius of the circle with a center at D is twice that of A, making the radius of the circle with a center at D to be 2.

We assume the radius of circle B to be r units.

Now, we have AD = 1, AB = 1 + r, DE = x (assumed), AE = 1 + x, BE = r, and BD = 2 - r.

Thus, in triangle BDE, using the Pythagoras Theorem, we can write:

BD² = DE² + BE²,

or, (2 - r)² = x² + r²,

or, 4 + r² - 4r = x² + r²,

or, x² = 4 - 4r ... (i),

or, x² = 4(1 - r),

or, x = 2√(1 - r) ... (ii).

In triangle ABE, using the Pythagoras Theorem, we can write that:

AB² = AE² + BE²,

or, (1 + r)² = (1 + x)² + r²,

or, 1 + r² + 2r = 1 + x² + 2x + r²,

or, 2r = x² + 2x.

Substituting the values of x² and x from (i) and (ii), we get:

2r = (4 - 4r) + 2(2√(1 - r)),

or, r = 2 - 2r + 2√(1 - r),

or, 3r - 2 = 2√(1 - r),

or, 9r² + 4 - 12r = 4 - 4r,

or, 9r² - 8r = 0,

or, r(9r - 8) = 0.

Thus, either, r = 0, which is not possible,

or, 9r - 8 = 0, or, r = 8/9.

Thus, the radius of circle B is 8/9 units.

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The provided question is incomplete. For the complete question, refer to the attachment.

Answer:

18 / 5

Step-by-step explanation:

3

= 3 / 1

= ( 3 / 1 ) x ( 5 / 5 )

= ( 3 x 5 ) / ( 1 x 5 )

= 15 / 5

3 + 3 / 5

= 15 / 5 + 3 / 5

= ( 15 + 3 ) / 3

= 18 / 5

Answer:

\( fractional \: form \: = 3 \frac{3}{5}

\\ decimal \: form \: = 3.6\)

Answer:

x=-6

Step-by-step explanation:

Move the -3 under 18 (18/-3), Then you get x=18/-3. Divide!

ANSWER: x=-6

As Masons backyard deck is rectangular, the length of the deck is 22 feet.

Let's start by using algebra to solve for the length of the rectangular deck.

Let L be the length of the deck.

Then, the width of the deck is L - 12.

The perimeter is the sum of all four sides, so we have:

Perimeter = 2L + 2(L - 12) = 64

Simplifying the equation, we get:

2L + 2L - 24 = 64

Combining like terms, we get:

4L - 24 = 64

Adding 24 to both sides, we get:

4L = 88

Dividing both sides by 4, we get:

L = 22

Therefore, the length of the deck is 22 feet.

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Answer:

x-8= -2

y/3= -9

Step-by-step explanation:

The equation for the first one would be x-8=-2.

The equation for the second one is y/3=-9. This is because the quotient is the result of division.

f(n) = ϴ(g(n)) is not true in cases B(sqrt(n)log(n), C(\(3^n 5^n\)), and D(sin(n)+3 cos(n)+1).

A) \(log(n^200) log(n^2)\)

Here, f(n) = \(log(n^200)\) and g(n) = \(log(n^2)\). Now, if we take the limit of f(n) / g(n) as n approaches infinity, then:

f(n) / g(n) = \([log(n^200) / log(n^2)]\) = 100

This means that as n approaches infinity, the ratio f(n) / g(n) is constant, and so we can say that f(n) = ϴ(g(n)). Therefore, f(n) = ϴ(g(n)) is true in this case.

B) sqrt(n) log(n) Here, f(n) = sqrt(n) and g(n) = log(n). Now, if we take the limit of f(n) / g(n) as n approaches infinity, then:

f(n) / g(n) = [sqrt(n) / log(n)]

As log(n) grows much slower than sqrt(n) as n approaches infinity, this limit approaches infinity. Therefore, we cannot say that f(n) = ϴ(g(n)) is true in this case.

C) 3^n 5^n

Here, f(n) = \(3^n\) and g(n) = \(5^n\) . Now, if we take the limit of f(n) / g(n) as n approaches infinity, then:

f(n) / g(n) = \([3^n / 5^n]\)

As \(3^n\) grows much slower than \(5^n\) as n approaches infinity, this limit approaches zero. Therefore, we cannot say that f(n) = ϴ(g(n)) is true in this case.

D) sin(n) + 3 cos(n) + 1

Here, f(n) = sin(n) + 3 and g(n) = cos(n) + 1. Now, if we take the limit of f(n) / g(n) as n approaches infinity, then:

f(n) / g(n) = [sin(n) + 3] / [cos(n) + 1]

As this limit oscillates between positive and negative infinity as n approaches infinity, we cannot say that f(n) = ϴ(g(n)) is true in this case.

Therefore, f(n) = ϴ(g(n)) is not true in cases B, C, and D.

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The slope of the handicap ramp is 1/2

The slope of the handicap ramp is gotten from the equation for the slope of a line, m with endpoints (x₁, y₁) and (x₂, y₂).

m = (y₂ - y₁)/(x₂ - x₁)

Since one point of the ramp can be identified by the ordered pair (d, 4d) and another point on the ramp is identified by the ordered pair (3d, 5d), we have that (x₁, y₁) = (d, 4d) and (x₂, y₂) = (3d, 5d).

Substituting the values of the variables into the equation, we have

m = (y₂ - y₁)/(x₂ - x₁)

m = (5d - 4d)/(3d - d)

m = d/2d

m = 1/2

So, the slope of the handicap ramp is 1/2

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Step-by-step explanation:

a....................................

The solution to the equation is y = 17/9. So the option D is correct

The real power of equations is that they provide a very precise way to describe various features of the world. (That is why a solution to an equation can be useful, when one can be found. )

To solve for y in the equation 1/3 = 1/6 (y 1/9), we can follow these steps:

Simplify the right side of the equation by finding a common denominator for y 1/9:

1/3 = 1/6 (y + 1/9)

1/3 = (y/6)+(1/54)

To isolate the right-hand y term, subtract 1/54 from both sides of the equation:

1/3 - 1/54 = y/6

18/54 – 1/54 = y/6

17/54 = y/6

Solve for y by multiplying both sides of the equation by 6:

(17/54) * 6 = a

102/54 = a

Simplify by dividing both numerator and denominator by their greatest common factor, which is 6:

17/9 = year

Therefore, the solution to the equation is y = 17/9.

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Answer:

he can buy 2 pounds of macaroni

Step-by-step explanation:

first you add up the 3.75 and the 2.25 from the turkey and the soda. it ranges to 6 dollars. then if each macaroni pound is 2 you will be able to buy 2 pounds from the 4 dollars you have lefy

Answer:

Charlie can buy 1 or 2 pounds of macaroni

Step-by-step explanation

If we add up the cost of the turkey sandwich and the soda, we get $6.00. Charlie has $10.00 to spend, so when he buys the sandwich and soda, he will have $4.00 left to spend. If the macaroni is $2.00 per pound, then Charlie can buy 1 or 2 pounds of macaroni.

hope this helped

Answer:

mean would decrease

Step-by-step explanation:

Answer:

170

Step-by-step explanation:

The idea that group work theories are appropriate for all clients all the time is a myth (Third option).

About Group Process:

The term "group process" describes how people collaborate within an organization to complete tasks. Typically, organizations invest a lot of time and effort into defining and achieving goals, but little thought is usually given to how those goals are affecting the most valuable resource of a group - its people.

Since different clients have different demands and priorities, group work might not be suitable for many, but not for all. Different types of clients require different types of collaboration, type of group or individuals, and working strategies that work for their goals the best.

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Answer:

-3x-2(5x-7)=-12

-3x-10x+14=-12

-13x+14=-12

-13x=-16

x=2

Answer:

y = - \(\frac{8}{7}\) x + \(\frac{8}{7}\)

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (- 6, 8 ) and (x₂, y₂ ) = (1, 0 )

m = \(\frac{0-8}{1-(-6)}\) = \(\frac{-8}{1+6}\) = - \(\frac{8}{7}\) , then

y = - \(\frac{8}{7}\) x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation.

using (1, 0 ), that is x = 1, y = 0

0 = - \(\frac{8}{7}\) + c ⇒ c = 0 + \(\frac{8}{7}\) = \(\frac{8}{7}\) , so

y = - \(\frac{8}{7}\) x + \(\frac{8}{7}\) ← equation of line