Which ordered pair is in the solution set of y> 2x + 3?
a.(1,4)
b.(3,2)
c.(0,5)
d.(0,0)

Answer:

8/1.50 = 128/x

Step-by-step explanation:

In this case, I put the amount of fruit drink over the cost!

8 ounces/$1.50

there are 128 ounces in a gallon and we want to find out the cost of a gallon, so we can put that as x!

128 ounces/x

There's your proportion! Hope this helps :)

The total number of students going for the weekend trip as per the given total cost and other charges is equal to 50.

Let us consider 'n' be the number of students going for trip.

Per student charge for food and lodging = $50

Total food and lodging charges = $50n

Bus charges per student = $25

Total bus charges = $25n

Bus cleaning fees = $15

Total cost for the trip = $3,765

Equation formed for the above condition is:

$ (50n + 25n + 15 ) = $3,765

⇒ $ ( 75n + 15 ) = $3,765

⇒ 75n = 3,765 - 15

⇒ n = 3,750/ 75

⇒ n = 50

Therefore, there are 50 students going on the weekend trip.

Learn more about students here

brainly.com/question/17332524

#SPJ4

9514 1404 393

Answer:

Step-by-step explanation:

Arithmetic sequence

The terms of an arithmetic sequence have common difference. If the missing term is x, then the difference between terms is the same:

  x -250 = 10 -x

  2x = 260 . . . . . . add 250+x to both sides

  x = 130 . . . . . . . . divide by 2

The missing term of an arithmetic sequence is 130.

(the common difference is -120)

__

Geometric sequence

The terms of a geometric sequence have a common ratio. If the missing term is x, then the ratios between terms are the same:

  x/250 = 10/x

  x^2 = 2500 . . . . . . . multiply both sides by 250x

  x = ±√2500 = ±50 . . . take the square root

The missing term of a geometric sequence is +50 or -50.

(the common ratio is ±1/5)

To find the points on the hyperboloid x^2 + 4y^2 - z^2 = 1 where the tangent plane is parallel to the plane x + 4y - z = 0, we need to compare the gradients (normal vectors) of both planes.

First, find the gradient of the given plane x + 4y - z = 0 by taking the coefficients of x, y, and z. The gradient (normal vector) is (1, 4, -1).

Now, we need to find the gradient of the tangent plane to the hyperboloid. To do this, we'll calculate the gradient of the hyperboloid equation and set it equal to the gradient of the given plane:
∇(x^2 + 4y^2 - z^2) = (2x, 8y, -2z)

Since the gradients are parallel, we have:
2x = 1 (the x component)
8y = 4 (the y component)
-2z = -1 (the z component)

Solving these equations, we get two sets of points (x, y, z) due to the symmetry of the hyperboloid:
(x, y, z) = (1/2, 1/2, 1/2) (smaller x-value)
(x, y, z) = (-1/2, -1/2, -1/2) (larger x-value)

These are the points on the hyperboloid where the tangent planes are parallel to the given plane x + 4y - z = 0.

Learn more about hyperboloid, here:

brainly.com/question/31054806

#SPJ11

(a) The mean of Z in case (a) is -60 and the variance is 400.

(b) The mean of Z in case (b) is 280 and the variance is 3600.

(c) The mean of Z in case (c) is 60 and the variance is 65.

(d) The mean of Z in case (d) is -20 and the variance is 65.

(e) The mean of Z in case (e) is 80 and the variance is 505.

To find the mean and variance of the random variable Z for each case, we can use the properties of means and variances.

(a) Z = 40 - 5X

Mean of Z:

E(Z) = E(40 - 5X) = 40 - 5E(X) = 40 - 5 * 20 = 40 - 100 = -60

Variance of Z:

Var(Z) = Var(40 - 5X) = Var(-5X) = (-5)² * Var(X) = 25 * Var(X) = 25 * (4)² = 25 * 16 = 400

Therefore, the mean of Z in case (a) is -60 and the variance is 400.

(b) Z = 15X - 20

Mean of Z:

E(Z) = E(15X - 20) = 15E(X) - 20 = 15 * 20 - 20 = 300 - 20 = 280

Variance of Z:

Var(Z) = Var(15X - 20) = Var(15X) = (15)² * Var(X) = 225 * Var(X) = 225 * (4)² = 225 * 16 = 3600

Therefore, the mean of Z in case (b) is 280 and the variance is 3600.

(c) Z = X + Y

Mean of Z:

E(Z) = E(X + Y) = E(X) + E(Y) = 20 + 40 = 60

Variance of Z:

Var(Z) = Var(X + Y) = Var(X) + Var(Y) = (4)² + (7)² = 16 + 49 = 65

Therefore, the mean of Z in case (c) is 60 and the variance is 65.

(d) Z = X - Y

Mean of Z:

E(Z) = E(X - Y) = E(X) - E(Y) = 20 - 40 = -20

Variance of Z:

Var(Z) = Var(X - Y) = Var(X) + Var(Y) = (4)² + (7)² = 16 + 49 = 65

Therefore, the mean of Z in case (d) is -20 and the variance is 65.

(e) Z = -2X + 3Y

Mean of Z:

E(Z) = E(-2X + 3Y) = -2E(X) + 3E(Y) = -2 * 20 + 3 * 40 = -40 + 120 = 80

Variance of Z:

Var(Z) = Var(-2X + 3Y) = (-2)² * Var(X) + (3)² * Var(Y) = 4 * 16 + 9 * 49 = 64 + 441 = 505

Therefore, the mean of Z in case (e) is 80 and the variance is 505.

Learn more about Mean and Variance at

brainly.com/question/29253308

#SPJ4

According to the Ricardian model, the difference in technology among nations causes output per worker in each country to differ.

The model is limited in several ways: 1. Having only 1 factor of production is way too simplistic a view of manufacturing. 2. In real world, almost no country produces only the goods in which they have a comparative advantage.

The Ricardian model assumes that labour is the only factor of production. Under this assumption, the only possible source of comparative advantage is differences between countries in labour productivity.

An important criticism leveled against Ricardian theory of rent concerns the relation between rent and price. According to Ricardo, price determines rent. The higher the price of corn, the higher will be the rent. The price of corn is determined by the cost of producing corn on the marginal land which is rent-free.

Therefore,

According to the Ricardian model, the difference in technology among nations causes output per worker in each country to differ.

To learn more about Ricardian trade visit :

brainly.com/question/15352601

#SPJ4

Answer:

681.82 rounded to two decimals

Step-by-step explanation:

hello

let's say that the price before the decrease is x

and then

600 = x - 12%x=(1-12%)x=0.88x

so x = 600/0.88 = 681.818181...

hope this helps

Answer:

I think it’s 672

Step-by-step explanation:

12% of 600 is 72

To find what the price is before decrease you must add 72 on

Answer:

shelter B

Step-by-step explanation:

I think im so sorry if im wrong but it seems B is correct

considering additional factors such as the costs of errors, the distribution of probabilities, and distinguishing between models with high accuracy rates can provide a more comprehensive evaluation of the division's models.

B. Not a good idea; There are frequently differential costs to errors. One error may have larger consequences than another, so a percent of correct classifications would not account for these varying costs.

C. Not a good idea; We are frequently predicting classification in which the probability of each group is quite different, simply guessing the majority category will frequently result in an excellent overall classification rate.

D. Not a good idea; The division's models always result in a 95% accuracy rate. Using the total accurate classification rate would result in all models appearing equal when they are not.

The total accurate classification rate, which measures the percent of all cases properly classified, may not be a good idea as the sole metric to evaluate the division's models. This is because:

B. There are frequently differential costs to errors. Different types of errors may have varying consequences, and a simple percent of correct classifications does not account for these varying costs.

C. Predicting classifications where the probability of each group is significantly different can lead to excellent overall classification rates by simply guessing the majority category, which may not truly reflect the model's performance.

D. If the division's models consistently produce a high accuracy rate (e.g., 95%), using the total accurate classification rate alone would make all models appear equal, even though they may have different levels of performance or predictive abilities.

In summary, considering additional factors such as the costs of errors, the distribution of probabilities, and distinguishing between models with high accuracy rates can provide a more comprehensive evaluation of the division's models.

To know more about probabilities refer here:

https://brainly.com/question/29381779

#SPJ11

The  values of x will f(x) > 0 for x < 0, and f(x) < 0 for -6 < x < 0 and x > -6.

To determine the values of x for which f(x) > 0, we need to find the intervals where the function is positive. Let's analyze the function f(x) = x*-x³-6x².

First, let's factor out an x from the expression to simplify it: f(x) = x(-x² - 6x).

Now, we can observe that if x = 0, the entire expression becomes 0, so f(x) = 0.

Next, we analyze the signs of the factors:

1. For x < 0, both x and (-x² - 6x) are negative, resulting in a positive product. Hence, f(x) > 0 in this range.

2. For -6 < x < 0, x is negative, but (-x² - 6x) is positive, resulting in a negative product. Therefore, f(x) < 0 in this range.

3. For x > -6, both x and (-x² - 6x) are positive, resulting in a negative product. Thus, f(x) < 0 in this range.  

For such more questions on values

https://brainly.com/question/843074

#SPJ8

Leading coefficient means the number that goes multiplicating the bigger exponent ,in this case is -9 because -9 multiplies x^3

Leading coefficient is the bigger exponent in a polynomial. In this case is 3 ,because -9x^3 is the biggest number in exponent.

So finally is a third degree equation.

research circumference

Answer:

The answer you're looking for is 1470.

Step-by-step explanation:

The method I used was PEMDAS

Since there was no parenthesis, I simplified the exponents.

2.130 x 10³ - 6.6 x 10² = ?
2.130 x 1000 - 6.6 x 100 = ?

After that, I multiplied all terms next to each other.

2.130 x 1000 - 6.6 x 100 = ?
2130 - 660 = ?

The final step I did was to subtract the two final terms and ended up with 1470 as my final answer.

1470 = ?

I hope this was helpful!

Answer:

Let 3x and 2x are divided into 250.

Step-by-step explanation:

3x + 2x = 250

⇒ 5x = 250

⇒ x =  = 50

∴ 3x = 3 × 50 = 150 and

2x = 2 × 50 = 100

Thus, the required numbers are 150 and 100.

John is correct in this scenario. The quiz score is a discrete variable because it takes on specific, distinct values from the given set of options: 0, 0.5, 1, 1.5, 2, 2.5, and 3 points.

The scores are not continuous or infinitely divisible since they are limited to these specific values.

A discrete variable is one that can only take on specific, separate values with no values in between. In this case, the quiz scores are limited to the given options of 0, 0.5, 1, 1.5, 2, 2.5, and 3 points. These scores are not continuous or infinitely divisible because there are no possible values in between these specific options.

On the other hand, a continuous variable can take on any value within a certain range, including decimal values. While the quiz scores do include decimal values like 0.5 and 1.5, it does not make the variable continuous. The scores are still limited to the specific values provided, and there are no possible scores in between those options.

Therefore, John is correct in claiming that the quiz score is a discrete variable because it includes specific, distinct values with no possible values in between.

To learn more about variable click here:

brainly.com/question/29583350

#SPJ11

Answer:

I believe it would be 24 sq ft. Radius is a line draw from the center of the circle out, also known as 1/2 of the circle. So by dividing 48 by 2 you should get 24.

The radius of the circular rug is 4 feet.

A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.

The area of a circle is given by the formula A = πr², where A is the area of the circle and r is its radius.

We know that the area of the circular rug is 48 square feet.

Using the formula, we can solve for the radius as follows:

A = πr²

48 = 3r² (using π = 3)

Divide both sides by 3

16 = r²

Take square root on both sides.

r = √16

r = 4

Therefore, the radius of the circular rug is 4 feet.

To learn more on Circles click:

https://brainly.com/question/11833983

#SPJ2

Answer:

Step-by-step explanation:

31/18

Answer:

A. $15

B.  x - .25x

C.  $12.50

Step-by-step explanation:

A. .25 x $20 = $5

$20-$5 = $15 discounted price of T-shirt

B. x - .25x

C. x + .25x = $10

1.25x = $10

x = $12.50

tan(2A) + sin(2A) = sin(2A)/cos(2A) + sin(2A)

• rewrite tan = sin/cos

… = 1/cos(2A) (sin(2A) + sin(2A) cos(2A))

• expand the functions of 2A using the double angle identities

… = 2/(2 cos²(A) - 1) (sin(A) cos(A) + sin(A) cos(A) (cos²(A) - sin²(A)))

• factor out sin(A) cos(A)

… = 2 sin(A) cos(A)/(2 cos²(A) - 1) (1 + cos²(A) - sin²(A))

• simplify the last factor using the Pythagorean identity, 1 - sin²(A) = cos²(A)

… = 2 sin(A) cos(A)/(2 cos²(A) - 1) (2 cos²(A))

• rearrange terms in the product

… = 2 sin(A) cos(A) (2 cos²(A))/(2 cos²(A) - 1)

• combine the factors of 2 in the numerator to get 4, and divide through the rightmost product by cos²(A)

… = 4 sin(A) cos(A) / (2 - 1/cos²(A))

• rewrite cos = 1/sec, i.e. sec = 1/cos

… = 4 sin(A) cos(A) / (2 - sec²(A))

• divide through again by cos²(A)

… = (4 sin(A)/cos(A)) / (2/cos²(A) - sec²(A)/cos²(A))

• rewrite sin/cos = tan and 1/cos = sec

… = 4 tan(A) / (2 sec²(A) - sec⁴(A))

• factor out sec²(A) in the denominator

… = 4 tan(A) / (sec²(A) (2 - sec²(A)))

• rewrite using the Pythagorean identity, sec²(A) = 1 + tan²(A)

… = 4 tan(A) / ((1 + tan²(A)) (2 - (1 + tan²(A))))

• simplify

… = 4 tan(A) / ((1 + tan²(A)) (1 - tan²(A)))

• condense the denominator as the difference of squares

… = 4 tan(A) / (1 - tan⁴(A))

(Note that some of these steps are optional or can be done simultaneously)

Answer:

if 24 people won, 15 people lost

The probability of event A given event B, denoted as P(A | B), is 0.750. The probability of event B given event A, denoted as P(B | A), is 0.900. A and B are not independent events because the conditional probabilities P(A | B) and P(B | A) are not equal to the marginal probabilities P(A) and P(B), respectively.

To find P(A | B), we use the formula:

P(A | B) = P(A ∩ B) / P(B)

In this case, P(A ∩ B) = 0.45 and P(B) = 0.60.

Plugging these values into the formula, we get

P(A | B) = 0.45 / 0.60 = 0.750.

To find P(B | A), we use the formula:

P(B | A) = P(A ∩ B) / P(A)

Here, P(A ∩ B) = 0.45 and P(A) = 0.50.

Substituting the values, we find

P(B | A) = 0.45 / 0.50 = 0.900.

A and B are not independent because the probabilities of A and B are affected by each other. If A and B were independent, then P(A | B) would be equal to P(A), and P(B | A) would be equal to P(B). However, in this case, both P(A | B) and P(B | A) differ from their respective marginal probabilities. Therefore, A and B are dependent events.

To learn more about probability refer:

https://brainly.com/question/25839839

#SPJ11

Answer:

5

Step-by-step explanation:

first row:  6/4 = 1.5 per box

second row has 5 boxes so 1.5*5 = 7.5

3rd row has only 3 boxes, 7.5/3 =2.5

a=2*2.5 = 5

Question 4: Laura applies for the position of ambulance medic. To give her a job simulation (behavioral interview) screening test, the interviewer...

This question involves providing a job simulation or behavioral interview, which allows the interviewer to observe how the candidate performs in a simulated work situation. This type of question assesses the candidate's skills, abilities, and behavior in a real or simulated work scenario, providing a more accurate evaluation of their capabilities for the job.

Learn more about the behavioral interview here:

https://brainly.com/question/33363410

#SPJ11

Answer:

1,000,000

Step-by-step explanation:

addition and maths

Answer:

1,000,000 Is the answer, I know because 100,000 x 10 = 1,000,000 also if you have 800,000 and add 100,000 it becomes 900,000. so adding 100,000 to 900,000 would be 1,000,000.

Step-by-step explanation:

Please mark brainliest

The present value of the sequence of annual payments of Rs 25000 each, the first being made at the end of the 5th year and the last being paid at the end of the 12th year, if money is worth 6% is Rs. 158620.39.

1: We can use the formula to calculate the present value of the annuity:

P = A x [1 - (1+i)^-n] / i

Where

P = Present Value

A = Annuity

i = Interest Raten = Number of payments

2: Calculate the present value of each payment using the formula:

P1 = 25000 / (1.06)⁵

P2 = 25000 / (1.06)⁶

P3 = 25000 / (1.06)⁷

P4 = 25000 / (1.06)⁸

P5 = 25000 / (1.06)⁹

P6 = 25000 / (1.06)¹⁰

P7 = 25000 / (1.06)¹¹

P8 = 25000 / (1.06)¹²

3: Substitute the values into the formula to find the present value:

P = P1 + P2 + P3 + P4 + P5 + P6 + P7 + P8

P = (25000 / (1.06)⁵) + (25000 / (1.06)⁶) + (25000 / (1.06)⁷) + (25000 / (1.06)⁸) + (25000 / (1.06)⁹) + (25000 / (1.06)¹⁰) + (25000 / (1.06)¹¹) + (25000 / (1.06)¹²)

P = 158620.39

Learn more about present value at

https://brainly.com/question/17010642

#SPJ11

Answer:

7/20

Step-by-step explanation:

90/100-2/5

=1/2

1/2-15/100

=7/20

3.31×\(10^-^5\) g is equivalent to 0.0331 μg which is obtained by using the conversion factor.

To convert from grams to micrograms, we need to consider the conversion factor that relates the two units. The prefix "micro-" represents a factor of \(10^-^6\), which means there are 1,000,000 micrograms in a gram. Therefore, to convert grams to micrograms, we multiply the given value by 1,000.

In this case, we have 3.31×\(10^-^5\) g. To convert this value to micrograms, we can multiply it by 1,000:

= 3.31×\(10^-^5\) g × 1,000

= 3.31×\(10^-^5\) × 1,000

= 3.31×\(10^-^5\) × \(10^{3}\)

= 3.31×\(10^(^-^5^+^3^)\)

= 3.31×\(10^-^2\)

= 0.0331 μg

Therefore, 3.31×\(10^-^5\) g is equivalent to 0.0331 μg.

Learn more about conversion here:

https://brainly.com/question/27987238

#SPJ11