Graph the coordinates J(-2,-0.5) K(0,2) L(-4,-2)

Answer:

C

Step-by-step explanation:

(3/4) + (1/2)×(-3/2) = 0

The quadratic formula is an equation that is used in solving problems of the nature ax²+bx+c=0.

The b² - 4ac in the quadratic formula is the discriminant that is used to determine whether the solution has a positive or negative result.

The standard form of a quadratic equation is f(x) = ax2 + bx + c.

To solve an equation of the nature -2x + 4x = 5, we would apply the quadratic formula. To use the formula, note that -2x represents a, while b is 4x and -5 = 0. This means that we would equate the equation to give: -2x² + 4x -5 = 0

The almighty formula is x = -b±√b² - 4ac

                                                         2a

Substituting the values in the equation, we will have

x = -4±√4² - 4(-2 * -5)

                    2*-2

x = -4 ±√16 - 40

                  -4

x = -4 ± -4.89

              -4

x = -4 + 1.225

= -2.775

x = -4 - 1.225

= 5.225

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The value of the midpoint between (1, 2) and (11,12) is,

⇒ (6, 7)\

We have to given that;

To find the midpoint between (1,2) and (11,12).

Since, A pair of numbers which describe the exact position of a point on a cartesian plane by using the horizontal and vertical lines is called the coordinates.

Now, By definition of midpoint, we get;

The midpoint between (1,2) and (11,12) is,

⇒ (1 + 11)/2, (2 + 12) / 2

⇒ (12/2, 14/2)

⇒ (6, 7)

Thus, The value of the midpoint between (1, 2) and (11,12) is,

⇒ (6, 7)\

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In a given year, an economy has 10 million unemployed workers and 120 million employed workers. This information provides a snapshot of the labor market and indicates the number of individuals who are currently without jobs and those who are employed.

The information states that in the given year, there are 10 million unemployed workers and 120 million employed workers in the economy. This data provides a measure of the labor market situation at a specific point in time.

Unemployed workers refer to individuals who are actively seeking employment but currently do not have a job. The number of unemployed workers can be an important indicator of the health of an economy and its ability to provide job opportunities.

Employed workers, on the other hand, represent individuals who have jobs and are currently working. The number of employed workers indicates the size of the workforce that is actively contributing to the economy through productive activities.

By knowing the number of unemployed and employed workers, policymakers, economists, and analysts can assess factors such as labor market conditions, unemployment rates, and workforce participation rates. This information is crucial for formulating policies, understanding economic dynamics, and monitoring the overall health and functioning of the economy.

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The probability that two grandchildren of the woman who are first cousins to one another will each inherit the dominant allele is 1/16.

To determine the probability that two grandchildren of a woman who are first cousins to one another will each inherit the dominant allele, we first need to understand the pattern of inheritance for dominant and recessive alleles.

Assuming the woman has two dominant alleles (D) and two recessive alleles (d), the probability of passing on a dominant allele to each grandchild is 1/2. For two first cousins to each inherit a dominant allele, we need both of their parents to pass on a dominant allele to them. The probability of both parents passing on a dominant allele is (1/2) * (1/2) = 1/4.

So, the probability of two first cousins each inheriting a dominant allele is 1/4 * 1/4 = 1/16. This means that there is a 1 in 16 chance that both first cousins will each inherit the dominant allele.

To summarize:

P(inheriting dominant allele) = 1/2

P(both parents passing on dominant allele) = 1/2 * 1/2 = 1/4

P(two first cousins each inheriting dominant allele) = 1/4 * 1/4 = 1/16

Therefore, the probability that two grandchildren of the woman who are first cousins to one another will each inherit the dominant allele is 1/16.

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The probability that two grandchildren of the woman who are first cousins to one another will each inherit the dominant allele is 1/16.

To determine the probability that two grandchildren of a woman who are first cousins to one another will each inherit the dominant allele, we first need to understand the pattern of inheritance for dominant and recessive alleles.

Assuming the woman has two dominant alleles (D) and two recessive alleles (d), the probability of passing on a dominant allele to each grandchild is 1/2. For two first cousins to each inherit a dominant allele, we need both of their parents to pass on a dominant allele to them. The probability of both parents passing on a dominant allele is (1/2) * (1/2) = 1/4.

So, the probability of two first cousins each inheriting a dominant allele is 1/4 * 1/4 = 1/16. This means that there is a 1 in 16 chance that both first cousins will each inherit the dominant allele.

To summarize:

P(inheriting dominant allele) = 1/2

P(both parents passing on dominant allele) = 1/2 * 1/2 = 1/4

P(two first cousins each inheriting dominant allele) = 1/4 * 1/4 = 1/16

Therefore, the probability that two grandchildren of the woman who are first cousins to one another will each inherit the dominant allele is 1/16.

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Answer:

the inequality is y>1/3x -3

Step-by-step explanation:

im built different

a. The probability that the teller is busy, P(0), is 0.1667

b. The Probability (teller is idle) is 0.8333

c. The Probability of 3 customers in the system 0.1019

d. The average number of customers waiting for service 4.1667

e. The average number of customers in the system is 5

f. The average time a customer spends in the system is 0.25 hour or 15 minutes.

g. The Average time a customer spends in the waiting line is 0.2083 hour or 12.5 minutes

The given M|M|1 system at BBA Bank, the probability that the teller is busy is 0.1667, the probability that the teller is idle is 0.8333, the probability of having 3 customers in the system is 0.1019, the average number of customers waiting for service is 4.1667, the average number of customers in the system is 5, the average time a customer spends in the system is 15 minutes, and the average time a customer spends in the waiting line is 12.5 minutes. These measures provide insights into the performance and efficiency of the bank's drive-through teller window.

To determine the performance measures of the M|M|1 system for BBA Bank, we can use the properties of the exponential distribution and the formulas for queuing theory. Given that the arrival rate is 20 customers per hour and the average service time is 2.5 minutes, we can calculate the following:

(a) Probability (teller is busy):

The utilization factor, ρ, can be calculated as the ratio of the arrival rate to the service rate:

ρ = λ/μ

where λ is the arrival rate and μ is the service rate. In this case, λ = 20 customers/hour and μ = 60 minutes/hour divided by the average service time of 2.5 minutes:

ρ = 20/((60/2.5)) = 20/24 = 0.8333

The probability that the teller is busy, P(0), is given by:

P(0) = 1 - ρ

P(0) = 1 - 0.8333 = 0.1667

(b) Probability (teller is idle):

The probability that the teller is idle, P(∞), can be calculated as the complement of the probability that the teller is busy:

P(∞) = ρ

P(∞) = 0.8333

(c) Probability of 3 customers in the system:

The probability of having n customers in the system, P(n), can be calculated using the formula:

P(n) = (1 - ρ) * ρ^n

P(3) = (1 - 0.8333) * (0.8333)^3 = 0.1019

(d) Average number of customers waiting for service:

The average number of customers waiting in the system, Lq, can be calculated using the formula:

Lq = ρ^2 / (1 - ρ)

Lq = (0.8333)^2 / (1 - 0.8333) = 4.1667

(e) Average number of customers in the system:

The average number of customers in the system, L, can be calculated as the sum of the average number of customers waiting and the customer being served:

L = Lq + ρ = 4.1667 + 0.8333 = 5

(f) Average time a customer spends in the system:

The average time a customer spends in the system, W, can be calculated using the formula:

W = L / λ

W = 5 / 20 = 0.25 hour or 15 minutes

(g) Average time a customer spends in the waiting line:

The average time a customer spends in the waiting line, Wq, can be calculated using the formula:

Wq = Lq / λ

Wq = 4.1667 / 20 = 0.2083 hour or 12.5 minutes

In summary, for the given M|M|1 system at BBA Bank, the probability that the teller is busy is 0.1667, the probability that the teller is idle is 0.8333, the probability of having 3 customers in the system is 0.1019, the average number of customers waiting for service is 4.1667, the average number of customers in the system is 5, the average time a customer spends in the system is 15 minutes, and the average time a customer spends in the waiting line is 12.5 minutes. These measures provide insights into the performance and efficiency of the bank's drive-through teller window.

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Answer: GET BRAINLY PLUS FOR VERIFIED ANSWERS NOW

Step-by-step explanation:

NOW

Answer:

0.79

Step-by-step explanation:

This value is the most opposite of the value above R, meaning that there is an association between the variables.

Answer:

.79

Step-by-step explanation:

Bc y not

Answer:

a = 6

Step-by-step explanation:

g(x) = 5x - 2

h(x) = √(x + 3)

g(h(x)) = 5\(\sqrt{x+3}\) - 2

g(h(a)) = 5\(\sqrt{a+3}\) - 2

5\(\sqrt{a+3}\) - 2 = 13

5\(\sqrt{a+3}\) = 15

\(\sqrt{a+3}\) = 3

( \(\sqrt{a+3}\) )² = 3²

a + 3 = 9

a = 6

To find the probability that a component will last less than 176 days, we can use the exponential distribution with the given mean of 220 days.

The exponential distribution is characterized by the parameter lambda (λ), which represents the rate parameter. The mean of the exponential distribution is equal to 1/λ.

In this case, the mean is given as 220 days, so we can calculate λ as 1/220.

To find the probability P(X < 176), we can use the cumulative distribution function (CDF) of the exponential distribution. The CDF gives the probability that the random variable X is less than a given value.

Using the exponential CDF formula, we have:

P(X < 176) = 1 - e^(-λx)

Substituting the value of λ and x into the formula:

P(X < 176) = 1 - e^(-1/220 * 176)

Calculating this expression, we find:

P(X < 176) ≈ 0.3442

Therefore, the probability that a component will last less than 176 days is approximately 0.34, correct to two decimal places.

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So, the maximum value of the function || Bx|| subject to the constraint is e. 9

The function we want to maximize is ||Bx||, where B is the given matrix and x is a vector with \(||x||^2 = 1\). We can rewrite this as:

\(||Bx||^2 = (Bx)^(T) (Bx) = x^{(T)} B^{(T)} B x\)

Since B is a 2x2 matrix, \(B^{(T)}B\) is also a 2x2 matrix:

\(B^{(T)} B = [4 0]\)

[0 9]

Thus, we can write:

\(||Bx||^2 = x^{(T)} B^{(T)} B x = [x1 x2] [4 0; 0 9] [x1; x2] = 4x1^2 + 9x2^2\)

So, we need to maximize the function\(4x1^2 + 9x2^2\) subject to the constraint \(x1^2 + x2^2 = 1.\)

We can use Lagrange multipliers to solve this problem. The Lagrangian function is:

\(L(x1, x2, \lambda) = 4x1^2 + 9x2^2 - \lambda(x1^2 + x2^2 - 1)\)

The partial derivatives are:

∂L/∂x1 = 8x1 - 2λx1 = 0

∂L/∂x2 = 18x2 - 2λx2 = 0

\(\partial L/\partial \lambda = -(x1^2 + x2^2 - 1) = 0\)

From the first two equations, we can see that x1 = 4λ and x2 = 9λ. Substituting these into the third equation, we get:

\(x1^2 + x2^2 = (4\lambda)^2 + (9\lambda)^2 = 1\)

Solving for λ, we get:

λ = ±1/√(97)

We can plug these values of λ into x1 and x2 to get two possible vectors:

x1 = 4λ = ±4/√(97)

x2 = 9λ = ±9/√(97)

We need to find the maximum value of ||Bx||, which is:

||Bx|| = ||[2 0; 0 -3] [x1; x2]|| = ||[2x1; -3x2]|| = 2|x1| + 3|x2|

Plugging in the values of x1 and x2, we get:

||Bx|| = 2|4/√(97)| + 3|9/√(97)| = 38/√(97)

Therefore, the answer is not one of the options given.

However, the closest option is e. 9, which is approximately equal to 38/4.12. So, the closest answer is e. 9.

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Using the formula they gave us:

Cost of shipping = 2.79 + 0.38(8)

Cost of shipping = 2.79 + 3.04

Cost of shipping = 5.83(currency unit)

The fraction of variation in the values of a response variable y that can be explained by the least-squares regression line is represented by the coefficient of determination, usually denoted as R^2.

R^2 is a statistical measure that indicates the proportion of the total variation in the response variable y that is accounted for by the linear relationship with the independent variable(s) used in the regression analysis. It is a value between 0 and 1, where:

- R^2 = 0 implies that the regression line explains none of the variation in y.

- R^2 = 1 implies that the regression line explains all of the variation in y.

In other words, R^2 represents the goodness-of-fit of the regression model. It indicates the strength of the linear relationship and how well the model fits the observed data.

To calculate R^2, it is necessary to perform a regression analysis and obtain the sum of squares for the regression (SSR) and the total sum of squares (SST). The formula for calculating R^2 is:

R^2 = SSR / SST

Where:

- SSR is the sum of squares for the regression (explained variation).

- SST is the total sum of squares (total variation).

R^2 provides valuable insight into the explanatory power of the regression model. It helps determine the proportion of the response variable's variation that can be attributed to the independent variable(s) considered in the analysis.

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Answer:

A; scale = 1/4, length = 1, height = 3/4.

B; scale = 2.5, length = 5, height = 15.

C; scale = 3, length = 6, height = 6.

Step-by-step explanation:

for A.

if one scale which means length of one small square is 1/4. we can see that the base of A has 4 scales with a value of 1/4. so to get the length you multiply the scale which is number of scales in the base which 4 if you look at the base. 1/4 x 4 is 1. to find height you multiply the scale with the number of scales upward which you can see has 3 scale so height is 1/4 x 3 = 3/4. you apply the same method to the other two to get the answer.

Answer:

The slope is 2/3

Step-by-step explanation:

To get from one dot to the next...

You go up 2 units and to the right 3 units

If you purchase a reciprocal membership from the two museums, you can visit both at no charge.

Mathematical expressions with variables, constants, coefficients, and algebraic operations are called algebraic expressions.

As a similar matter, the adjective reciprocal can also be used to denote something that is opposite or inversely connected (which is just about the opposite of what reciprocal is generally used to mean). A reciprocal membership is available from the two museums, allowing you access to both for free.

This fraction, turned upside down, is the reciprocal of a number. The reciprocal, then, has the top number, or numerator, on top and the bottom number, or denominator, of the original fraction on the bottom. Due to the fact that 1/6 is the inverse of 6/1 and 6 = 6/1, the reciprocal of 6 is 1/6.

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The congruent figures are rectangles that are ABCD is congruent to JKLM.

Given that,

In the picture we have a graph,

We have to find the congruent figures.

In terms of geometry, congruent means having the same dimensions and form. Figures, angles, and line segments can all be used to demonstrate congruence. If two angles have the same measure, they are said to be congruent. When the corresponding sides and angles of two triangles are equal, two triangles are said to be congruent.

The congruent figures are rectangles that are ABCD is congruent to JKLM.

Therefore, The congruent figures are rectangles that are ABCD is congruent to JKLM.

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The required projection of u onto v is the vector (-23/20)i - (23/10)j, or approximately <-1.5, -2.13>.

To calculate the projection of vector v onto vector u (proj_vu), we can use the formula:

\(proj_{vu} =\dfrac {(v \times u)}{||u||^2} *v\)

Here, u is the vector -11i - 5j and v is the vector 4i + 8j.

Compute the dot product of u and v.
u · v = (-11)(4) + (-5)(8)
      = -92

Compute the magnitude of v.
\(||v|| = \sqrt{(4^2 + 8^2)} \\= \sqrt{80}\\ = 4\sqrt{5\)

Compute \(proj_{vu}\)using the formula.
\(proj_{vu} = \dfrac{u \times v} {||v||^2} * v\\ proj_{vu} = (-92 / (80)) * (i + 2j)\\proj_{vu} = (-23/20)i - (23/10)j\)

Therefore, the projection of u onto v is the vector (-23/20)i - (23/10)j,  or approximately <-1.5, -2.13>.

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The question is incomplete, the complete question is given below:

Find the projection of vector v onto vector u or what is proj_vu?

Where.

Vector u = <-11, -5>

Vector v = <4, 8>

Answer:

Step-by-step explanation:

no graph was shown

Answer:

minimum: 3

q1: 9

q3: 16

median: 13

max: 20

Step-by-step explanation:

the image attached below will help you read a box and whisker plot

The equation (v²* r) / (2g) represents the object's mass, m.

To solve for the object's mass, m, in the equation v = (2gm)/r, we can rearrange the equation to isolate the variable m.

1. Start with the equation v²= (2gm)/r.
2. Multiply both sides of the equation by r to eliminate the denominator: v² * r = 2gm.
3. Divide both sides of the equation by 2g: (v² * r) / (2g) = m.

The equation (v²* r) / (2g) represents the object's mass, m. This is the  answer to the question.

To further understand the equation, let's break it down. The equation v² = (2gm)/r is derived from the principle of escape velocity, which is the minimum velocity needed for an object to escape the gravitational pull of the Earth.

In the equation, v represents the velocity of the object, r is the distance from the center of the Earth to the object, and g is the acceleration due to gravity. The constant g is approximately 9.8 m/s².

By solving for the object's mass, we can determine the mass required for the object to have a specific velocity at a given distance from the Earth's center.

In conclusion, to find the object's mass (m) in the equation v² = (2gm)/r, you can use the formula (v² * r) / (2g). This equation allows you to calculate the mass of an object required to achieve a certain escape velocity at a given distance from the Earth's center.

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Answer:

2.25 np

Step-by-step explanation:

Cost of one foot lace is $2.25

Cost of one foot lace = $3

Cost of 3/4 foot lace

Cost of 3/4 foot lace = [3/4][Cost of one foot lace]

Cost of one foot lace = [3/4][3]

Cost of one foot lace = 9/4

Cost of one foot lace = $2.25

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Answer:

Yes

Step-by-step explanation:

7/2 = 3.5 or 3 1/2

Answer:

3 1/2

Step-by-step explanation:

Divide 2 into 7. You get 3 with a remainder of 1. 3 is the whole number of the mixed number, 1 is the numerator of the fraction, and 2 is the denominator.

The fan blades will have rotated 180 degrees when vertex D reaches the point where vertex C is now.

When the two fan blades in the shape of equilateral triangles rotate clockwise around point P, the vertex D will reach the point where vertex C is now.
To determine the number of degrees the blades will have rotated, we need to know the number of degrees in a full rotation. A full rotation consists of 360 degrees.
Since both blades rotate together, they will cover the same number of degrees. Therefore, when vertex D reaches the point where vertex C is now, the blades will have rotated by half of a full rotation, which is 180 degrees.

In summary, the fan blades will have rotated 180 degrees when vertex D reaches the point where vertex C is now.

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The probability that one random student participated in swimming is 1/90.

What is probability ?

The area of mathematics known as probability explores potential outcomes of events, along with the likelihoods and distributions of those occurrences. Simply put, probability is the likelihood that something will occur.

                         We can discuss the probabilities of various outcomes, or how likely they are, whenever we are unsure of how an event will turn out. Statistics describes the examination of events subject to probability.

Probability = Number of favorable outcomes / Number of total outcomes.

Number of favorable outcomes = 1

Number of total outcomes = 90

So,

Probability = 1/90

Hence, the probability that one random student participated in swimming is 1/90.

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