Terrence took a total of 16 pages of notes during 8 hours of class. In all, how many hours will
Terrence have to spend in class before he will have a total of 18 pages of notes in his
notebook? Assume the relationship is directly proportional.

The new average waiting time in the queue as per the mentioned informations would be calculated to be 2 minutes.

To calculate the new average waiting time in the queue, we need to use Little's Law, which states that the average number of customers in a queuing system is equal to the average arrival rate of customers multiplied by the average time a customer spends in the system:

L = λW

where L is the average number of customers in the system, λ is the arrival rate, and W is the average time a customer spends in the system.

Assuming that the arrival rate of customers remains the same, the only thing that changes when we replace Tim Gonzales with John Thunderbolt is the average time a customer spends in the system, which includes both the time spent waiting in the queue and the time spent being served.

Let's call the average time a customer spends in the system with Tim Gonzales WT and the average time a customer spends in the system with John Thunderbolt WJ

The average time a customer spends in the system with Tim Gonzales is equal to the average waiting time plus the average service time:

WT = W + 6

where 6 is the average service time for Tim Gonzales (we assume that it takes him 6 minutes to serve a customer on average).

The average time a customer spends in the system with John Thunderbolt is equal to the average waiting time plus the average service time:

WJ = W + 4

where 4 is the average service time for John Thunderbolt (we assume that it takes him 4 minutes to serve a customer on average).

We want to find the new average waiting time in the queue, which is just the difference between the average time a customer spends in the system with Tim Gonzales and the average time a customer spends in the system with John Thunderbolt:

W = WT- WJ

Substituting the expressions for WTand WJ, we get:

W = (W + 6) - (W + 4) = 2

Therefore, the new average waiting time in the queue would be 2 minutes.

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The correct option is the fourth one, the slope and y-intercept are different.

Here we have the linear equation:

3x - 5y = 4

We know that it is dilated by a scale factor of 5/3, so let's find the dilation.

We can rewrite the linear equation as:

-5y = 4 - 3x

y =  (3/5)x - 4/5

Now let's apply the dilation:

y = (5/3)*[ (3/5)x - 4/5]

y = x - 4/3

Then we can see that the slope and the y-intercept are different, the correct option is 4.

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Answer:

the answer is vsco girls are annoying

Step-by-step explanation:

Answer: m=6 I think n=14

Step-by-step explanation:

Okay, here we have this:

Considering the provided confidence interval we are going to express it in interval form, so we obtain the following:

So let's first convert the interval from percent to decimals:

Confidence interval=15.8% ± 5.4%

Confidence interval=0.158 ± 0.054

And the interval form will be obtained by leaving the result using the lesser on the left side, and the result using the more on the right side:

Confidence interval=[0.158-0.054, 0.158+0.054]

Confidence interval=[0.104, 0.212]

Finally we obtain that the confidence interval in interval form is equal to [0.104, 0.212].

In Fairbanks, Alaska, the average temperature in December of -3 °F corresponds to approximately -19.44 °C and 253.71 K. The temperature range of 180 K to 200 K corresponds to approximately -139.67 °F to -99.67 °F.

To convert Fahrenheit (°F) to Celsius (°C), you can use the following formula:

°C = (°F - 32) * 5/9

To convert Celsius (°C) to Kelvin (K), you simply need to add 273.15:

K = °C + 273.15

Now let's calculate the conversions for the given temperature:

Average temperature in December in Fairbanks, Alaska: -3 °F

To convert -3 °F to Celsius:

°C = (-3 - 32) * 5/9 = -19.44 °C

To convert -3 °F to Kelvin:

K = -19.44 + 273.15 = 253.71 K (rounded to two decimal places)

Temperature range for the procedure: 180 K to 200 K

To convert 180 K to Fahrenheit:

°F = (180 - 273.15) * 9/5 + 32 = -139.67 °F (rounded to two decimal places)

To convert 200 K to Fahrenheit:

°F = (200 - 273.15) * 9/5 + 32 = -99.67 °F (rounded to two decimal places)

Therefore, the temperature range expressed in degrees Fahrenheit is approximately -139.67 °F to -99.67 °F.

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The percent change in height after the second bounce would be:

Percent change = [(h_2 - h_1) / h_1] * 100%

The expression \(25(0.93)^x\)represents the height of the ball after x bounces. To find the percent change in height after each bounce, we need to calculate the ratio of the change in height to the original height and express it as a percentage.

Let's denote the height after the first bounce as h_1, the height after the second bounce as h_2, and so on.

The percent change in height after the first bounce is given by:

Percent change = [(h_1 - original height) / original height] * 100%

Using the given expression, we can substitute x = 1 to find h_1:

h_1 = \(25(0.93)^1\) = 23.25

Therefore, the percent change in height after the first bounce is:

Percent change = [(23.25 - original height) / original height] * 100%

To find the percent change after subsequent bounces, we can continue this process. For example, after the second bounce:

h_2 = \(25(0.93)^2\)

And the percent change in height after the second bounce would be:

Percent change = [(h_2 - h_1) / h_1] * 100%

You can repeat this process for each subsequent bounce to find the percent change in height after each bounce using the given expression.

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Answer:

D. Slope is 5/4

Step-by-step explanation:

By relation with the general equation of a line:

\({ \boxed{y = mx + c}}\)

m » slope

equation given:

\(y = \frac{5}{4} x - \frac{7}{4} \)

therefore, slope is 5/4

Answer:

(c) option is correct

Step-by-step explanation:

answer is 5/4

Answer: 3/5 + 2/5 = 5/5  OR 1

Step-by-step explanation:

1 is the final answer

Answer:

3/5+2/5 = 5/5 =1

Step-by-step explanation:

Answer:

you have it correct sir

Step-by-step explanation:

Answer:

length = 12 feet , area = 72 ft²

Step-by-step explanation:

the perimeter (P) is the sum of the 4 sides of the rectangle.

let w be width then length is 2w

opposite sides of a rectangle are congruent , so

P = 2(2w) + 2w = 4w + 2w = 6w

given P = 36 , then

6w = 36 ( divide both sides by 6 )

w = 6

then

length = 2w = 2 × 6 = 12 feet

the area (A) of a rectangle is calculated as

A = length × width = 12 × 6 = 72 ft²

Step-by-step explanation:

csc(Theta) = 1/sin(Theta) = 3.2362

Answer:

C. 3.2362

Explanation:

Answer:

292

Step-by-step explanation:

C.-3/4................

Answer:

Step-by-step explanation:

look at 2=x-y=2

move this term to the left (2)

it becomes 2=x-y+2=0

and thats your results

Examples: x^2-2x=-1, 3x-x-x+a-a=5, (x^2-1)/(x+1), 2x-(x+x)

The interval that does not describe the number of hours for about 50 % of the students is B. 9 to 14.

In order to gain a proper insight into the dataset, a holistic five-number summary is employed that accounts for the minimum value, first quartile (Q1), median, third quartile (Q3), and maximum value. Of these key components, Q1 defines the 25th percentile of the data while Q3 exhibits the 75th percentile.

As it stands, the median of this particular collection - 14 - denotes that half of the students are studying for less than 14 hours per week and the other half above the same timeframe.

This means that the interval that does not show 50 % would be 9 - 14 as this only shows 25 %.

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Options include:

A. 9 - 20

B. 9 - 14

C . 2 - 14

The given operational problem relates to production or manufacturing, with decision variables representing the quantities of the two products to be produced and an objective function representing the specific goal to be achieved (such as maximizing profit or minimizing costs).

Based on the information provided, it appears that the given scenario relates to a production or manufacturing problem. The problem involves the production of two different products, Product 1 and Product 2, and requires specific quantities of different resources or components.

Decision Variables:

The decision variables in this operational problem could include the quantities or amounts of each product to be produced. For example, let's denote the quantity of Product 1 as x and the quantity of Product 2 as y.

Objective Function:

The objective function represents the goal or objective of the problem. In this case, the objective could be to maximize or minimize a certain aspect, such as profit, production efficiency, or resource utilization. The specific objective function would depend on the specific goal of the problem. For example, if the objective is to maximize profit, the objective function could be expressed as a linear combination of the quantities produced and the associated costs and revenues.

Since the specific objective function is not provided in the question, it is not possible to determine it accurately. However, it could involve maximizing profit, minimizing production costs, or maximizing resource utilization efficiency, among other possibilities.

In summary, the given operational problem relates to production or manufacturing, with decision variables representing the quantities of the two products to be produced and an objective function representing the specific goal to be achieved (such as maximizing profit or minimizing costs).

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Answer: $105.92

Step-by-step explanation: 7.99x2=15.98, 15.98+89.94=105.92

The factorial or ratio of p / q approximately is 1199.5.

Calculate p (number of ways to place 5 queens randomly on a chessboard):

A chessboard has 64 squares. We can place the first queen in any of the 64 squares, the second queen in any of the remaining 63 squares, and so on.

So, the number of ways to place 5 queens randomly is: p = 64 * 63 * 62 * 61 * 60 However, since the order in which we place the queens does not matter, we need to divide by the number of ways to arrange the 5 queens,

which is 5! (5 factorial). p = (64 * 63 * 62 * 61 * 60) / (5 * 4 * 3 * 2 * 1) 2=8,048,640

Calculate q (number of ways to place 5 queens column-wise):

We need to find the value of q. Here, we place 5 queens column-wise. In the first column, there are 8 possible squares to place the first queen. In the second column, there are only 7 possible squares left because one square is already blocked by the first queen.

Similarly, in the third column, there are only 6 possible squares left, and so on. Therefore, the total number of ways to place the 5 queens column-wise is: 8 × 7 × 6 × 5 × 4= 6,720

Calculate the ratio p / q:

Now that we have values for p and q, we can find the ratio p / q. p / q ≈ ((64 * 63 * 62 * 61 * 60) / (5 * 4 * 3 * 2 * 1)) / (8 × 7 × 6 × 5 × 4) ≈ 1199.5

Therefore, the ratio of p / q approximately is 1199.5.

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The value of x and y in equation 20x-10y= - 10 and 10x-3y= - 19 by elimination method is y = -7 and x = - 4.

The equals sign indicates that two expressions in a formula, also known as an equation, are equal.

The given equation:

20x - 10y = -10,

10x - 3y = -19,

Multiply the second equation by 2 on both sides,

Subtract equation 2 with equation 1,

20x - 10y + 10 - 2(10x - 3y + 38) = 0

y = -7 and x = - 4,

Therefore, the value of x and y in equation 20x-10y= - 10 and 10x-3y= - 19 by elimination method is y = -7 and x = - 4.

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Answer:

1

Step-by-step explanation:

\( log_{3}(5) \times log_{25}(9) = \frac{ log(5) }{ log(3) } \times \frac{ log(9) }{ log(25) } = \frac{ log(5) }{ log(3) } \times \frac{2 log(3) }{ 2log(5) } = \frac{2}{2} = 1\)

Answer:

The answer is B

Step-by-step explanation:

These are triangles are similar and because of that:

x/6 = (x+2.5)/(6+4)

x/6 = x/10 + 0.25

x = 6x/10 + 1.5

4x/10 = 1.5

4x = 15

x = 3.75

Answer:

x + 14

Step-by-step explanation:

Let's break it down to key terms:

14

more (+)

a number (x)

So 14 more than a number is just adding 14 to x.

x + 14

Hope this helps :)

The given statement "sub-average intellectual functioning is defined as an iq approximately two standard deviations below the mean." is true because IQ is normally distributed with a mean of 100 and a standard deviation of 15.

Intelligence quotient (IQ) is a measure of intelligence that is often expressed as a standardized score with a mean of 100 and a standard deviation of 15. According to this scale, a score of 70 or below is generally considered to be indicative of sub-average intellectual functioning.

This corresponds to an IQ approximately two standard deviations below the mean.

Sub-average intellectual functioning is commonly associated with developmental disabilities, such as intellectual dis-ability .

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Answer:

1)  -2x-11

2) 1.3x-3

3) 5k-20

4) 21.84

Step-by-step explanation:

-2x-7+(-4)          -2x-7-4           -2x-11

5.2x+9-12-3.9x          1.3x+9-12      1.3x-3

5(k-4)    distribute        5k-20

5.46÷0.25=21.84

The work of  5/6 more than 360 is equal to 660.

To calculate what 5/6 is out of 360, you can use the following steps:

Divide 360 by 6 (the denominator of the fraction) to determine the value of 1/6.

360 / 6 = 60 Multiply the value of 1/6 by the numerator (5) to find the value of 5/6.

60 * 5 = 300

Step 1: Calculate 5/6 of 360.

To find 5/6 of a number, you multiply that number by the fraction 5/6. In this case, we want to find 5/6 of 360. To do that, we multiply 360 by 5/6:

(5/6) * 360 = (5 * 360) / 6 = 1800 / 6 = 300

So, 5/6 of 360 is equal to 300.

Step 2: Add the result to 360.

To find 5/6 more than 360, we take the result from Step 1, which is 300, and add it to 360:

300 + 360 = 660

Therefore, 5/6 more than 360 is equal to 660.

In summary, by calculating 5/6 of 360, we found that it is 300. Adding 300 to 360 gives us the final result of 660, which represents 5/6 more than 360.

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Answer:

Let's start by rearranging this polynomial.

x^3 - 2x^2 + x - 2

x^3 + x - 2x^2 - 2

Now, factor out the common terms in the first two terms, and the second t wo terms. So we have: x(x^2 + 1) - 2(x^2 +1)

Apply the distributive property, and you have: (x-2)(x^2+1), which can't be factored further.

There's definitely something wrong with the answer choices here, or the problem itself.

Hopefully this helps!

The complete factorization of the polynomial is,

⇒ (x + i) (x - i) (x - 2)

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The polynomial is,

⇒ x³ - 2x² + x - 2

Now, We can factor the polynomials as;

The polynomial is,

⇒ x³ - 2x² + x - 2

⇒ x² (x - 2) + 1 (x - 2)

⇒ (x² + 1) (x - 2)

⇒ (x + i) (x - i) (x - 2)

Therefore, The complete factorization of the polynomial is,

⇒ (x + i) (x - i) (x - 2)

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The largest possible value for the probability of A4 is 0.1.

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

A1, A2, A3, and A4, be events from a common sample space.

We know that A1 and A2 occur simultaneously with a probability of 0.1, which means that the probability of A1 or A2 occurring is 0.3

We also know that events A1, A2, and A3 each occur with probability 0.3.

So, the probability of A4 occurring is equal to 1 minus the probability of the other three events occurring.

Therefore, the largest possible value for the probability of A4 is:

P(A4) = 1 - (0.3 + 0.3 + 0.3)

P(A4) = 1 - 0.9

P(A4) = 0.1

So, the maximum value that the probability of A4 can take is 0.1.

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