What does (-1)(-2)(-3)(4) equal?

True. For all waiting lines, P0+Pw= 1

The terms P0 and Pw refer to the probabilities of having 0 customers in the system and having customers waiting in line, respectively. Since every customer is either in the system or in the waiting line, the sum of these probabilities must equal 1. This is because there are only two possible outcomes: either a customer is being served (P0) or they are waiting in line (Pw). Therefore, the probability of one of these events occurring is 1, and the probability of the other event occurring is 0. Hence, P0 + Pw = 1.

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Answer:

Lookie here the total profit is 357.03

Answer:

that would be everything greater than -6 so -5,-4,-3,-2,-1,0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20...1000000...+∞

Step-by-step explanation:

an equation showing a way to estimate to the neasrt inch the total rainfall for the two day 2.45 + 1.72 ≈ 4.2 inches

1. Add the two amounts of rainfall together: 2.45 + 1.72

2. Round the answer to the nearest inch: 4.2 inches

3. The equation to estimate the total rainfall for the two days is 2.45 + 1.72 ≈ 4.2 inches.

This equation provides a simple way to estimate the total rainfall for two days. By adding the two amounts of rainfall, we can then round the answer to the nearest inch to obtain the estimated total rainfall. This equation can be used to quickly and accurately estimate rainfall totals for any two-day period.

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Answer:

9/21

Step-by-step explanation:

45 / 105 = 9/21 (simplified)

Step-by-step explanation:

a) here,

diametre = 19 cm

Area = ?

Now,

Area = pie d

= 22/7 *19

59.71 cm2

Therefore, area = 59.71 sq.cm.

b)

here,

Area = 1000 sq.cm

diametre = ?

Now ,

Area = pie d

1000 = 22/7 *d

7000 = 22 * d ( cross multiply between 7&1000)

7000/22 = d

318.18 = d

Therefore, diametre = 318.18 cm .

The difference in the amount paid by Cathy and Steven is $4000.

Simple interest is when the interest that is paid on the loan of a customer is a linear function of the loan amount, interest rate and the duration of the loan.

Simple interest = amount borrowed x interest rate x time

Simple interest of Cathy = $20,000 x 0.052 x 10 = $10,400

Simple interest of Steven = $20,000 x 0.048 x 15 = $14,400

Difference in interest = $14,400 - $10,400 = $4000

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The test statistic is, -2.06.

What is test statistic?

A programme and any related documentation are examined during static testing, a type of software testing that does not call for the programme to be run. Software testing also includes dynamic testing, which involves interacting with the application as it is being used.

Given: Americans work less than 40 hours a week on average in 1977?

In 1977, the GSS included questions about the number of hours that the respondent worked per week.

The average number of hours worked per week was 34. 61 hours with a standard deviation of 14. 77 hours.

A sample of 32 respondents was questioned.

So, the test statistics is,

Z = (x bar - μ)/(σ /√n)

 = (34.61 - 40)/(14.77/sqrt(32))

Z = -2.06

Hence, the test statistics is -2.06.

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Respuesta:

12

Explicación paso a paso:

Para encontrar este número, necesitamos escribir una expresión algebraica y resolver x.

sea x = el número

\(4x+20=68\)

Resta 20 en ambos lados

\(4x=48\)

Dividir por 4

\(x=12\)

Nuestro número será 12

Answer:

  27. 3

  28. 2a

  29. y²

  30. 280yz

  31. 1

  32. 1/3

Step-by-step explanation:

One way to think about a coefficient is this: Set the value of the variable of interest to 1 and evaluate the expression. The value of the expression is the coefficient of the variable of interest.

Here, you're only interested in the variable x, so its coefficient is everything that is not x. The coefficients are ...

27. 3

28. 2a

29. y²

30. 280yz

31. 1 . . . . . a lot of students get tripped up by this one. Setting x=1 makes it obvious.

32. 1/3

_____

Sometimes you're asked for the coefficient in a term. In the case of the term 280xyz, the appropriate answer to that question is 280, the constant that multiplies all the variables. When no constant is showing, the coefficient is 1, as in question 31.

Answer:

8 to 15

Step-by-step explanation:

2 feet times 12 inches is 24 and it is to 45 inches. You then need to simplify 24 and 45 by 3 to get 8 and 15 and to get the ratio 8 to 15.

Hope this helps!

The node-voltage method is a technique used to analyze circuits by assigning voltages to different nodes in the circuit and solving for the unknown node voltages. The task is to use the node-voltage method to find the voltage v1 in the circuit, given i1 = 6.7 A and i2 = 1.5 A.

The node-voltage method is a technique used to analyze circuits by assigning voltages to different nodes in the circuit and solving for the unknown node voltages. In this case, we are interested in finding the voltage v1.

To apply the node-voltage method, we assign a reference node (usually the ground) and define the voltage at other nodes with respect to this reference. We can then use Kirchhoff's current law (KCL) to write equations based on the currents entering and leaving each node.

By applying KCL at the nodes, we can set up a system of equations. The given values of i1 and i2 can be used to express the currents in terms of the node voltages. Solving this system of equations will yield the value of v1.

Since the diagram of the circuit (figure 1) is not provided, it is not possible to provide a specific solution. However, by applying the node-voltage method, you can analyze the circuit and solve for v1 using the given values of i1 and i2.

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Answer: x is greater than or equal to 18

Step-by-step explanation:

Answer:

x ≤ - 2

Step-by-step explanation:

- x/6 ≤ 3

- x/2 ≤ 1

- x ≤ 2

x ≤ - 2

Answer:

hot dog= $2.25

juice= $1.50

Step-by-step explanation:

Let the price of a hot dog be $H and that of a juice be $J.

H +J= 3.75 -----(1)

2H +3J= 9 -----(2)

(1) ×2:

2H +2J= 7.5 -----(3)

(2) -(3):

2H +3J -(2H +2J)= 9 -7.5

Expand:

2H +3J -2H -2J= 1.5

J= 1.5

Substitute J= 1.5 into (1):

H +1.5= 3.75

H= 3.75 -1.5

H= 2.25

∴ The price of a hot dog and a juice is $2.25 and $1.50 respectively.

Answer:

-6-8x

Step-by-step explanation:

distribute and multiply

Answer:

-6-8x

Step-by-step explanation:

Answer:

B

80/2×12 becouse one year it costs 12×2 since its 12 months .

Jutin chooses a function J(x) = 3x - 1 that when he uses the number 7 as an input, then the output is 20.

As per the given data, Jutin chooses a function in which he uses the number 7 as an input, then the output is 20.

Here we have to determine which function Jutin has to use.

Now we have to substitute the value that x = 7 in all the given functions.

First function:

F(x) = 2\(x^{5}\)

F(7) = 2 \((7)^{5}\)

F(7) = 2 (16807)

F(7) = 33614 which is not equal to 20.

Second function:

G(x) = \(x^{2}\) - 19

F(7) = \((7)^{2}\) - 19

F(7) = 49 - 19

F(7) = 30 which is not equal to 20.

Third function:

H(x) = 13 - x

H(7) = 13 - 7

H(7) = 6 which is not equal to 20.

Fourth function:

J(x) = 3x - 1

J(7) = 3(7) - 1

J(7) = 21 - 1

J(7) = 20

The correct function is J(x) = 3x - 1

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The probability that she will roll a 2 is,

⇒ 1 / 6

Since, The possibility of an event happening is referred to as probability. Probability is the ability to happen. The subject of this area of mathematics is the occurrence of random events. From 0 to 1 is used to express the value.

We have to given that;

Idil rolls a standard six-sided die, numbered from 1 to 6.

Now, Total number of possible outcomes = 6

And, For getting 2 rolls = 1

Hence, The probability that she will roll a 2 is,

P = Possible outcomes / Total outcomes

P = 1/6

Thus, The probability that she will roll a 2 is,

⇒ 1 / 6

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The most appropriate units to describe the cost of the sandbox would indeed be dollars.

When describing the cost of an item or service, it is essential to use the unit that represents the currency being used for the transaction. In this case, the total cost of the sand for the school's sandbox is given in dollars. To maintain consistency and clarity, it is best to express the cost in the same unit it was provided.

Using dollars as the unit for the cost allows for clear communication and understanding among individuals involved in the transaction or discussion. Dollars are widely recognized as the standard unit of currency in many countries, including the United States, where the dollar sign ($) is commonly used to denote monetary values.

Using meters, the unit for measuring the dimensions of the sandbox, to describe the cost would be inappropriate and could lead to confusion or misunderstandings. Mixing units can cause ambiguity and hinder effective communication.

Therefore, it is most appropriate to describe the cost of the sand in dollars, aligning with the unit of currency provided and commonly used in financial transactions. This ensures clarity and facilitates accurate comprehension of the cost associated with the sand purchase for the school's sandbox.

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Answer:

C. The set of prime numbers.

Thank you ☺️

The slope of the line that contains the points (17, -12) and (7, 8), is -2.

From the question, we are to determine the slope of the line that contains the given points.

The given points are (17, -12) and (7, 8)

Using the formula for calculating slope,

m = (y₂ - y₁) / (x₂ - x₁)

Where m is the slope

Then,

The slope of the line is

m = (8 - (-12)) / (7 - 17)

m = (8 + 12) / (-10)

m = 20 / - 10

m = -2

Hence, the slope is -2

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Answer:

B is the correct answer

Step-by-step explanation:

The intersection of sets R and M is {1, 2, 4} since these numbers are factors of both 12 and 16.

To find the intersection of sets R and M, we need to identify the elements that are common to both sets. Set R consists of elements that are factors of 12, while set M consists of elements that are factors of 16.

Let's first list the factors of 12: 1, 2, 3, 4, 6, and 12. Similarly, the factors of 16 are: 1, 2, 4, 8, and 16.

Now, we can compare the two sets and identify the common factors. The factors that are present in both sets R and M are: 1, 2, and 4. Therefore, the intersection of sets R and M is {1, 2, 4}.

In set-builder notation, we can represent the intersection of R and M as follows: R ∩ M = {x : x is a factor of 12 and x is a factor of 16} = {1, 2, 4}.

Thus, the intersection of sets R and M consists of the elements 1, 2, and 4, as they are factors of both 12 and 16.

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Note the complete question is

R={c:x is factor of 12} and M ={x:x is factor of 16}. Then Find R∩M?

Answer: B is the correct answer -23.801505

Step-by-step explanation: A, C, & D all have two negatives and when you multiply 2 negatives, you get a positive. B has 3 negatives which will give you a negative answer.

The scenario involves classifying train times into different ticket types based on specific time ranges. The partitions include "before 7:30 am," "between 7:30 am and 4:00 pm," "after 4:00 pm until 6:30 pm," and "after 6:30 pm." The valid partitions are "between 7:30 am and 4:00 pm" and "after 6:30 pm," while the invalid partitions are "before 7:30 am" and "after 4:00 pm until 6:30 pm." The boundary values are 7:29 am, 7:30 am, 3:59 pm, 4:00 pm, 6:29 pm, and 6:30 pm.

To test the train times for ticket types, we can use equivalence partitioning and boundary value analysis. The partitions are based on the time ranges specified in the scenario. The valid partitions are "between 7:30 am and 4:00 pm" and "after 6:30 pm" because they correspond to the saver ticket availability. The invalid partitions are "before 7:30 am" and "after 4:00 pm until 6:30 pm" as they require paying the full fare.

The boundary values are the exact time points that define the transitions between partitions. In this case, the boundary values are 7:29 am, 7:30 am, 3:59 pm, 4:00 pm, 6:29 pm, and 6:30 pm. These values are important to test, as they represent the critical points where ticket types change.

Test cases can be derived by selecting representative values from each partition and boundary value range. For example, test cases can include a train time at 7:31 am to test the saver ticket validity, or a train time at 4:01 pm to test the full fare requirement.

If there are any questions or unclear aspects about this requirement, it would be helpful to seek clarification regarding the exact rules and constraints for ticket types, any exceptions or special cases, and any specific actions or consequences associated with each ticket type and time range.

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Step-by-step explanation:

x

2

−

12

x

+

27

=

(

x

−

3

)

(

x

−

9

)

Explanation:

x

2

−

12

x

+

27

Find two numbers that when added equal

−

13

and when multiplied equal

27

. The numbers

−

3

and

−

9

meet the criteria. The two factors are

(

x

−

3

)

(

x

−

9

)

.

The final answer is (1 + 21√2)/(21√2). The process of rationalization involves changing the form of an expression to eliminate radicals from its Denominator, or to eliminate denominators from a radical expression.

To rationalize the denominator 1/7 + 3√2,

A rational number is a number that can be expressed as a ratio of two integers, with the denominator not equal to zero. The fraction 4/5, for example, is a rational number since it can be expressed as 4 divided by 5.

Step-by-Step SolutionTo rationalizes the denominator 1/7 + 3√2, we'll need to follow these steps.

Step 1: First, we need to create a common denominator for the two terms. The common denominator is 7. Thus, we can convert the expression to the following form:(1/7) + (3√2 × 7)/(7 × 3√2).

Step 2: Simplify the denominator to 7. (1/7) + (21√2)/(21 × 3√2).

Step 3: The numerator and denominator can now be simplified. (1 + 21√2)/(7 × 3√2).Step 4: Simplify further. (1 + 21√2)/(21√2).We have successfully rationalized the denominator!

The final answer is (1 + 21√2)/(21√2).

The final answer is (1 + 21√2)/(21√2). The process of rationalization involves changing the form of an expression to eliminate radicals from its denominator, or to eliminate denominators from a radical expression.

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