0.1254 is rational or irrational ?

Answer:

330 miles

Step-by-step explanation:

198/3 = 66; this shows how fast the car is going per hour

66 * 5 = 330; this is how far the car goes in 5 hours

Answer:60

Step-by-step explanation:a triangle always equals 180 so if you dived that by the three angles it equals 60 degrees

Answer:

area is length x width multiply one side by the other

Step-by-step explanation:

Using the simplex method, the optimal solution for the given linear program is z = 14, with x1 = 0 and x2 = 5. There are no alternative optimal solutions.

To solve the linear program using the simplex method, we start by converting the problem into standard form with all constraints in the form of inequalities and non-negative variables. The initial tableau for the problem is as follows:

 |   x1  |   x2  |   s1   |   s2   |   b   |

--------------------------------------------

z |  -3   |   6   |   0    |   0    |   0   |

--------------------------------------------

s1|   5   |   7   |   1    |   0    |   35  |

--------------------------------------------

s2|  -1   |   2   |   0    |   1    |   2   |

--------------------------------------------

Next, we perform the simplex iterations to improve the objective function value. After performing the necessary row operations, we arrive at the final tableau:

 |   x1  |   x2  |   s1   |   s2   |   b   |

--------------------------------------------

z |   0   |   1   |  3/2   |  -1/2  |   14  |

--------------------------------------------

s1|   0   |   0   |   4    |   3    |   5   |

--------------------------------------------

s2|   1   |   0   |  -1/2  |   5/2  |   3   |

--------------------------------------------

From the final tableau, we can see that the optimal solution is z = 14, with x1 = 0 and x2 = 5. The decision variable x1 is at its lower bound, indicating that it is non-basic. Therefore, there are no alternative optimal solutions in this case.

In summary, the optimal solution for the given linear program is z = 14, with x1 = 0 and x2 = 5. There are no alternative optimal solutions.

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The components of the vector with initial point (7,−6) and a terminal point at (6,−3) are:

The components of a vector are the vectors that makes up the resultant as described in the problem to have starting point (7,−6) and terminal point (6,−3).

This can be gotten by plotting these points and getting the coordinates of the points that makes the initial point and the terminal point the hypotenuse of the triangle

From the graph, the coordinates are:

component 1: (6, -6) to (3, -6)

component 2: (7, -6) to (6, -6)

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The variation of each predicted population mean from the sample means in the table is given as follows:

The variation of each predicted population mean from the sample means is given by the absolute value of the difference between the sample mean and the actual mean.

The formula is the same as the formula for the absolute error of an observation, and then the measures are given as follows:

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Answer:

Sample 1: 1.5

Sample 2: -2.5

Sample 3: 5.5

Step-by-step explanation:

Completed on edge

Answer:

b = 9

Step-by-step explanation:

24b - 10b = 126

so because 24b and 10b are the same you can minus them giving

14b = 126

now we have 14b's but we only want 1

so we divide by both sides

b = 9

Answer:

See below

Step-by-step explanation:

How to solve equations algebraically

To solve equations algebraically, your main goal is to get the variable on one side of the equal sign while getting the constant on the other side of the equal sign.

Its important to remember that

How to move variables and constants to the other side:

We can change the position of a variable/constant regarding which side of the sign it is on by using inverse operations. For example if we have 2x = 7 + x. We would want to get the x on the other side, we can do this by doing the inverse of adding an x which would be subtracting an x. So we would subtract x , but whatever we do to one side we must to do the other, so we would subtract x from both sides resulting us in getting 2x -  x = 7 + x - x which simplifies to x = 7.

Remember these are the operations inverses

We have

( There are some other ones but these are the three main ones )

What are like terms?

Like terms are terms with the same variable and degree. An example of like terms would be 2x and 7x or 8b and 20b. When we see like terms in an equation we combine them ( add them together ). Note that this is only when the like terms are on the same side of the equal sign.

Applying what we just learned to find the answer

We have the equation 24b - 10b = 126

==> First step is to combine like terms 24b and -10b ( 24b - 10b = 14b)

14b = 126

==> next step is to get rid of the "14" on b. 14 is being multiplied by b. The inverse of multiplication is division so to get rid of the 14 we would divide by 14 but whatever we do to one side we must do to the other so we divide both sides by 14. ( 14b / 14 = b and 126 / 14 = 9 )

we are left with b = 9

Answer:

i think its A

Answer:

B) 5/8

Step-by-step explanation:

1.25/2

0.625

5/8

Answer:

Step-by-step explanation:

2bx + 4by -3ax -6ay

= 2b (x +2y) - 3a (x +2y)

= (x +2y) (2b-3a)

Therefore, the solution to the matrix equation is: x₁ = 1; x₂ = 0; x₃ = -1.

To determine the number d that forces a row exchange, we need to look for a value of d that would result in a zero entry in the pivot position of the coefficient matrix. In this case, the pivot position is the (2,2) entry.

From the given matrix equation:

1 3

1 21

-2d 1

If we perform row operations to eliminate the 1 in the (2,1) entry, we would have:

1 3

0 21-1(3)

-2d 1

To force a row exchange, the (2,2) entry should be zero. Therefore, we need to solve the equation:

21 - 3 = 0

18 = 0

However, this equation has no solution. Therefore, there is no value of d that forces a row exchange.

Since there is no row exchange, we can solve the matrix equation as follows:

1 3 3

1 21 0

-2d 1 1

By performing row operations, we can find the solution:

1 0 1

0 1 0

-2d 0 -1

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The explicit formula for the sequence 2, 8, 14 is an = 6n - 4, where n is the position of the term in the sequence.

To find the explicit formula for a sequence, we need to look for a pattern that relates each term to its position in the sequence. In this case, we can observe that each term is obtained by adding 6 to the previous term. Thus, the formula for the nth term can be written as:

an = a(n-1) + 6

where a1 = 2. Substituting this formula recursively, we get:

a2 = a1 + 6 = 2 + 6 = 8

a3 = a2 + 6 = 8 + 6 = 14

and so on.

Simplifying the formula, we get:

an = a1 + 6(n-1) = 2 + 6n - 6 = 6n - 4

Therefore, the explicit formula for the sequence 2, 8, 14 is an = 6n - 4.

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The congruence theorem that justifies Step 5 is given as follows:

SAS.

The similar triangles in this problem are given as follows:

RQP and SQP.

We are given that:

Due to the definition of bisector, we have that:

<QRP = <SQP

(as the bisection divides the angle into two segments of equal part.

Then in Step 4, by the reflective property of congruence, the side length QF is congruent to itself.

Then we have that each triangle two sides, along with the angle between them, that are congruence, hence the Side-Angle-Side (SAS) congruence theorem was used, meaning that the first option is correct.

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Answer:

Angle c = 118 degrees

Step-by-step explanation:

c is 118 because c is congruent to <A and it is verticle from <A

Answer:

a_n=a_1+(n-1)d

Step-by-step explanation:

sorry for late anwser

The correct answer to the given question about chi-square distribution and sampling distribution is a. 5 or higher.

The chi-square distribution provides a good approximation to the sampling distribution of the chi-square statistic only if the sample size is large. Generally, a sample size of 5 or higher is considered large enough for this approximation. This is because the chi-square distribution approaches a normal distribution as the degrees of freedom increase, and a sample size of 5 or more provides enough degrees of freedom for the approximation to be valid. However, if any expected count is less than 5, then the approximation may not be reliable, and alternative methods should be considered (such as Fisher's exact test or the Monte Carlo method).

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Answer:

1 is 3.5

2 is 480

3 is 15

4 is 2.5

5 is B and D

Answer:

4 days in total

Step-by-step explanation:

Answer:4 days

Total=375

150+(75×4)=150+75+75+75=375

4 days

Step-by-step explanation:

Answer:

a=3 d=1 b and c cant be solved

Step-by-step explanation:

because segment AB is parallel to x axis . So the slope of ABco is 0. So the y value is congruent

a=3 d=1

We know AB=CO b+2=8-C

we can only find ad, but we could not get b,c

Answer:

$5.05

Step-by-step explanation:

$30-4.75=25.25 (cost of total pens)

25.25÷5=$5.05 (there are 5 pens so divide by 5)

The statement that shows equivalent measurements is "52 meters = 520 decimeters." Option C.

To determine the equivalent measurements, we need to understand the relationship between different metric units.

In the metric system, each unit is related to others by factors of 10, where prefixes indicate the magnitude. For example, "deci-" represents one-tenth (1/10), "centi-" represents one-hundredth (1/100), and "kilo-" represents one thousand (1,000).

Let's analyze each statement:

5.2 meters = 0.52 centimeters: This statement is incorrect. One meter is equal to 100 centimeters, so 5.2 meters would be equal to 520 centimeters, not 0.52 centimeters.

5.2 meters = 52 decameters: This statement is incorrect. "Deca-" represents ten, so 52 decameters would be equal to 520 meters, not 5.2 meters.

52 meters = 520 decimeters: This statement is correct. "Deci-" represents one-tenth, so 520 decimeters is equal to 52 meters.

5.2 meters = 5,200 kilometers: This statement is incorrect. "Kilo-" represents one thousand, so 5.2 kilometers would be equal to 5,200 meters, not 5.2 meters.

Based on the analysis, the statement "52 meters = 520 decimeters" shows equivalent measurements. So Option C is correct.

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Note the correct and the complete question is

Select the statement that shows equivalent measurements.

A.) 5.2 meters = 0.52 centimeters

B.) 5.2 meters = 52 decameters

C.) 52 meters = 520 decimeters

D.) 5.2 meters = 5,200 kilometers

Answer:a

Step-by-step explanation:

Answer:

C) 2 to 7

Step-by-step explanation:

1 part salt:7 parts water

Add 1 part salt

2 part salt: 7 Parts water

Answer:

-3

Step-by-step explanation:

Step 1: Solve (-2+(-1))^2/3 3

           1. -2+(-1) = -3

           2. (-3)^2 = 9

           3. 9/3 = 3

Step 2: Solve (-4)^2-17 -1

           1. 3/-1

Step 3: Simplify 3/-1 = -3. I hope this helped and please don't hesitate to reach out with more questions!

The expected value of a lottery ticket is $0.13312. The expected value of a lottery ticket is the average amount that a player can expect to win or lose per ticket bought. To calculate the expected value, one multiplies each outcome by its probability and adds the results.

In this case, there are three possible outcomes: winning $1 billion, winning $10 million, or winning nothing. There are a total of 60 possible numbers for each of the 5 numbers, so there are 60^5 = 7,776,000,000 possible sequences that the lottery could choose. To calculate the probability of winning $1 billion, there is only one winning sequence, so the probability is 1/7,776,000,000. The expected value for winning $1 billion is therefore:
$1,000,000,000 × 1/7,776,000,000 = $0.128
To calculate the probability of winning $10 million, there are four winning sequences for the first four numbers, and 60 possibilities for the fifth number, so the probability is 4/7,776,000,000.

The expected value for winning $10 million is therefore:
$10,000,000 × 4/7,776,000,000 = $0.00512
To calculate the probability of winning nothing, there are 7,775,999,995 losing sequences out of 7,776,000,000 total sequences, so the probability is 7,775,999,995/7,776,000,000. The expected value for winning nothing is therefore:
$0 × 7,775,999,995/7,776,000,000 = $0
Adding these three expected values together gives the overall expected value of a lottery ticket:
$0.128 + $0.00512 + $0 = $0.13312

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The slower vehicle is the car, and it would take (11.67 - 10.5) = 1.17 minutes longer to travel 7 miles compared to the subway train.

To find out how much longer it would take to travel 7 miles in the slower vehicle, we need to calculate the speed of

each vehicle first.

The car travels 3 miles in 5 minutes, which means it travels at a speed of 3/5 miles per minute.

The subway train travels 4 miles in 6 minutes, which means it travels at a speed of 4/6 miles per minute. Simplifying

this, we get a speed of 2/3 miles per minute.

Now, we can calculate how long it would take each vehicle to travel 7 miles:

The car travels at a speed of 3/5 miles per minute, so it would take (7 / (3/5)) = 11.67 minutes to travel 7 miles.

The subway train travels at a speed of 2/3 miles per minute, so it would take (7 / (2/3)) = 10.5 minutes to travel 7 miles.

Therefore, the slower vehicle is the car, and it would take (11.67 - 10.5) = 1.17 minutes longer to travel 7 miles compared to the subway train.

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Answer:

1.786

Step-by-step explanation: