MELISSA WROTE AN INTEGER. THE OPPOSITE OF HER INTEGER IS -67.
WHICH OF THESE STATEMENTS ABOUT GEORGES INTEGER MUST BE
TRUE?
The integer is 67.
The integer has an absolute value of -67.
The integer is -67.
The integer has an absolute value of 67.
III.
IV.

You arrange 5 letters in 7893600 ways

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

Letters to use = 5

Total available letters = 26

The letters are distinct

This means that the letters cannot be repeated

So, we have

First = 26, Second = 25 ....... Fifth = 22

Using the above as a guide, we have the following:

Ways = 26 * 25 * 24 * 23 * 22

Evaluate

Ways = 7893600

Hence, the arrangement is 7893600

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Answer:

Yes

Step-by-step explanation:

They are both using the same line so yeah

Answer:

I'm pretty sure it's 6(x+8)=60

Step-by-step explanation:

Answer:

the third one or 3(x+8)

Step-by-step explanation:

60/3 = 20

The square root of -1 is the definition of i. A square root is squared to eliminate the two and leave the original number.

Given that,

We have to find why i squared is equal to negative 1.

We know that,

The imaginary numbers are denoted as i.

We occasionally obtained negative integers in equations when using the radican (square root) symbol to solve them. When they realized this, some would halt and respond, "no actual solution," which is technically accurate. We can further simplify radicals by using the imaginary number I which is the square root of real numbers. We occasionally even manage to get rid of the fictitious element, which provides us with actual solutions.

The square root of -1 is the definition of i. A square root is squared to eliminate the two and leave the original number.

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The probability of product of a, b, c, d, and e is odd after selected randomly them from the set {1, 2, 3, 4, 5} is equal to 189/625.

Set is equal to ,

{1, 2, 3, 4, 5}

To find the probability that the product of a, b, c, d, and e is odd when selected randomly from the set {1, 2, 3, 4, 5},

consider the possible combinations that result in an odd product.

An odd number can be obtained by multiplying an odd number of odd factors.

Since 5 numbers to choose from, each with an equal probability of being selected,

There are two possibilities for the number of odd factors that will result in an odd product,

Selecting all odd numbers (3 odd factors),

There are 3 odd numbers in the set {1, 3, 5}.

The probability of selecting an odd number is 3/5.

Since we are selecting with replacement, the probability of getting 3 odd numbers is (3/5)³.

Selecting one even number and four odd numbers (1 even and 4 odd factors),

There are 2 even numbers (2 and 4) and 3 odd numbers (1, 3, 5) in the set.

The probability of selecting an even number is 2/5, and the probability of selecting an odd number is 3/5.

Since we are selecting with replacement, the probability of getting 1 even number and 4 odd numbers is (2/5) × (3/5)⁴

To find the overall probability, add the probabilities of the two cases,

P(Odd Product)

= P(3 odd factors) + P(1 even and 4 odd factors)

= (3/5)³ + (2/5) × (3/5)⁴

= 27/125 + 162/625

= 189/625

Therefore, the probability that the product of a, b, c, d, and e is odd when selected randomly from the set {1, 2, 3, 4, 5} is 189/625.

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By dοing the mental math, the summatiοn is 300.

Use mental math: If the numbers are small, yοu can add them up in yοur head.

Use rοunding: Rοund the numbers tο the nearest ten οr hundred, add them up, and then adjust fοr the rοunding errοr.

We can grοup the numbers in pairs with οne easy-tο-add number and οne slightly harder-tο-add number: (39+61) + (87+13) + 62 + 38

We can simplify this further: 100 + 100 + 62 + 38

Nοw we can add the remaining numbers easily: 200 + 100

Sο the final οrder in which we cοuld mοst easily add the numbers is: (39+61) + (87+13) + 62 + 38 = 200 + 100 = 300

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Answer:

D) 4th one is the correct answer.

Step-by-step explanation:

original, question line : 4/5 then it can be converted to percentage 4/5 * 100 = 80%

a) 2/3 * 100 = 200/3

b) 5/8 * 100 = 62.5%

c) 10/12 * 100 = 250/3 %

d) 8/10 * 100 = 80% ..this matches with the required first line and applicable.

∵ 4th one is correct according to steps. : D

Answer:

Transitive

Step-by-step explanation:

If A = B and B = C then A = C

Transitive

The evaluation of the logarithmic expression log6 21 is approximately 1.70.

To evaluate the logarithmic expression log6 21, we need to determine the exponent to which 6 must be raised to obtain 21. In other words, we need to find the value of x in the equation 6ˣ = 21. To solve for x, we can use the logarithmic property that states log base b of a equals x if and only if be  = a. In this case, we have log6 21 = x, so 6ˣ  = 21.

To find the value of x, we can rewrite the equation using exponential notation: 6ˣ  = 21. Taking the logarithm of both sides with base 6, we get: log6 (6ˣ ) = log6 21 Using the logarithmic property, we can simplify the equation to: x = log6 21. Therefore, the value of x is equal to the logarithm of 21 with base 6. To evaluate this expression, we can use a calculator or logarithmic tables. The approximate value of log6 21 is 1.70.

Hence, the evaluation of the logarithmic expression log6 21 is approximately 1.70.

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Answer:the discount was $16.80

Step-by-step explanation:

Discount=30% of original price

=0.3X$56

=16.80

The discount was $16.80 in dollars and cents

Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

We are given that Zachary bought some belts online for $56. He used a coupon code to get a 30% discount.

Given the website also app lied a 15% processing fee to the price after the discount.

Discount = 30% of original price

= 0.3 x $56

=16.80

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Answer:

the first step would be to distribute the 9 to inside the parenthesis so it would look like 9x+18=90

Step-by-step explanation:

Hope this helps. If it does, click on the red heart as of to say "thanks"

Answer:

576 feet

Step-by-step explanation:

I'm going directly off the graph but it looks like the y-coordinate of the vertex is 576, which would make 576 feet the maximum height. Hope that helps :)

Answer:

282

Step-by-step explanation:

100⋅x=300⋅94

Cross multiply

100

100x

​

Divide both sides by 100

282

The formula that can be used to describe the sequence is:\(a(n) = (-1)^(n+1) * 3^(n) * 4.\)

The given sequence is -81, 108, -144, 192.

The formula that can be used to describe the sequence is:  \(a(n) = (-1)^(n+1) * 3^(n) * 4\), where n is the nth term in the sequence.

This formula is a geometric sequence formula that can be used to describe the given sequence.

The formula represents the nth term of the sequence as a function of the position of the term in the sequence.

Here, n represents the position of the term in the sequence

.For the given sequence, the first term is -81, which corresponds to the first position in the sequence (n = 1).

The second term is 108, which corresponds to the second position in the sequence (n = 2).

The third term is -144, which corresponds to the third position in the sequence (n = 3).

The fourth term is 192, which corresponds to the fourth position in the sequence (n = 4).

Therefore, the formula that can be used to describe the sequence is: \(a(n) = (-1)^(n+1) * 3^(n) * 4.\)

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The statement that proves that angle XWY is equal to angle ZYW is

A. If two parallels are cut by a transverse, then alternate interior angles are congruent

Alternate interior angles are a pair of angles that are formed on opposite sides of a transversal line when two parallel lines are intersected by the transversal.

When a transversal intersects two parallel lines, it creates eight angles. Among these angles, the alternate interior angles are located on the inside of the parallel lines and on opposite sides of the transversal.

In a parallelogram, the two opposite sides are parallel to each other hence the line crossing them will lead to formation of alternate interior angles

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Some potential advantages that can be associated with a 100% capitalist structure:

- Employment Opportunities:

- Potential for Higher Income:

- Individual Freedom and Entrepreneurship:
- Incentives for Hard Work and Efficiency:

- Economic Mobility and Opportunity for Advancement:

We have,
In a 100% capitalist structure, the advantages offered to workers can vary depending on the specific circumstances and practices within the capitalist system.

However, there are some potential advantages that can be associated with such a structure:

- Employment Opportunities:

A capitalist system often provides a wide range of job opportunities as businesses compete and expand.

This can create more employment options for workers, increasing their chances of finding suitable employment.

- Potential for Higher Income:

In a capitalist system, workers have the potential to earn higher incomes based on factors such as their skills, productivity, and market demand for their services.

Increased competition can lead to higher wages and better compensation packages for workers.

- Individual Freedom and Entrepreneurship:

Capitalism promotes individual freedom, allowing workers to choose their occupations and pursue entrepreneurial ventures.

This can provide opportunities for personal growth, creativity, and innovation.

Incentives for Hard Work and Efficiency:

In a capitalist system, workers may have incentives to work harder and increase their productivity since their earnings and success can be tied to their performance.

This can create an environment that rewards hard work and efficiency.

Economic Mobility and Opportunity for Advancement:

Capitalism can provide opportunities for workers to improve their socioeconomic status through advancement within their careers or by starting their own businesses.

This mobility allows individuals to strive for upward social and economic mobility.

Thus,

It is important to note that the advantages and outcomes of a capitalist system can vary depending on factors such as government regulations, labor laws, social safety nets, and market conditions.

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The probability of Bob and Joan's fourth child having sickle cell disease, given that their first three children are healthy, is 6.25%.

When Bob and Joan have children, each child has a 25% chance of inheriting two copies of the sickle cell gene and thus developing the disease, a 50% chance of inheriting one copy of the sickle cell gene and being a carrier like their parents, and a 25% chance of inheriting two copies of the normal gene and not carrying the disease.

To understand this probability calculation mathematically, we can use the laws of probability. We can define the probability of the fourth child inheriting the sickle cell gene as P(s), and the probability of the fourth child inheriting the normal gene as P(n).

Since Bob and Joan are each heterozygous carriers for the sickle cell gene, we know that P(s) = 0.25 (25%), and P(n) = 0.75 (75%). We can use the multiplication rule of probability to calculate the probability of their fourth child inheriting two copies of the sickle cell gene, which is:

P(sickle cell disease) = P(s) x P(s) = 0.25 x 0.25 = 0.0625 or 6.25%

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Complete Question:

Bob and Joan know from a blood test that they are each heterozygous (carriers) for the autosomal recessive gene that causes sickle cell disease. If their first three children are healthy, what is the probability that their fourth child will have the disease?

Answer:

Step-by-step explanation:

-13/20 - 7/5= -41/20 or -2 1/20 or -2.05

The given problem involves Simple Single Server queuing model.In the given problem, a vending machine at City Airport dispenses hot coffee, hot chocolate, or hot tea, in a constant service time of 20 seconds. Customers arrive at the vending machine at a mean rate of 60 per hour (Poisson distributed).

The operating characteristics of this system can be determined by using the following formulas:Average Number of Customers in the System, L = λWwhere, λ= Average arrival rateW= Average waiting timeAverage Waiting Time in the System, W = L/ λProbability of Zero Customers in the System, P0 = 1 - λ/μwhere, μ= Service rateThe given problem can be solved as follows:Given that, λ = 60 per hourSo, the average arrival rate is λ = 60/hour. We know that the exponential distribution (which is a Poisson process) governs the time between arrivals. Therefore, the mean time between arrivals is 1/λ = 1/60 hours. Therefore, the rate of customer arrivals can be calculated as:μ = 1/20 secondsTherefore, the rate of service is μ = 3/hour.

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Based on the information, we can infer that the area of this polygon is: 1,204

To calculate the area of an irregular hexagon we must take into account that we must divide the hexagon into six triangles and then find their areas. Once we find their areas we must add them and thus we will obtain the total area of the irregular hexagon as a result. Below is the procedure:

First we must know the length of the sides of each triangle:

So to find the area of the triangles we apply the following formula

This procedure will result in an area of 1,204 cm².

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Answer:

Answer is A hope this helps :)

Step-by-step explanation:

The statement "The mean decreases as the degrees of freedom increase" is not true about chi-square distributions.

In fact, the mean of a chi-square distribution is equal to its degrees of freedom. It does not decrease as the degrees of freedom increase.

The mean remains constant regardless of the degrees of freedom. This is an important characteristic of chi-square distributions.

Regarding the other statements:

In summary, the statement that is not true about chi-square distributions is that the mean decreases as the degrees of freedom increase.

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After 2.5 hours, the trains will be 225 miles apart. To find the time it takes for the two trains to be 225 miles apart, we can use the concept of relative velocity. The trains are moving in opposite directions, so their speeds add up.

The combined speed of the two trains is 50 mph + 40 mph = 90 mph.

To calculate the time it takes for them to be 225 miles apart, we divide the distance by the relative speed:

Time = Distance / Speed

Time = 225 miles / 90 mph

Time = 2.5 hours.

Therefore, after 2.5 hours, the trains will be 225 miles apart.

The answer is option B: 2 1/2.

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Problem 1

Think of (x+4)^2 as (x+4)(x+4)

Then let y = x+4 so that we replace the first copy of "x+4" with "y"

We then get y(x+4). This distributes to xy+4y. Afterward, we plug in y = x+4 and distribute again.

So this is what the steps look like overall

z = (x+4)^2

z = (x+4)(x+4)

z = y(x+4)

z = xy + 4y

z = x(x+4) + 4(x+4)

z = x^2 + 4x + 4x + 16

z = x^2 + 8x + 16

This means the answer is choice B.

==================================================

Problem 2

We can factor out x to go from x^2 + 4x to x(x+4) showing that choice A is one of the answers.

Choice B is not an answer because (x+x)(x+4) = 2x(x+4) = 2x^2+8x which is not the same as x^2+4x.

Choice C is a similar story because (x+2)^2 = x^2+4x+4. So we can rule out choice C as well.

Choice D is almost the same as choice A, but the terms have been swapped. So choice D is one of the answers.

Choice E is another answer because (x+2)^2-4 = x^2+4x+4-4 = x^2+4x

Overall, the three answers are choice A, choice D, choice E.

==================================================

Problem 3

We can use the trick mentioned in problem 1

z = (2x-1)(3x-1)

z = y(3x-1) ..... let y = 2x-1

z = 3xy - y

z = 3x(y) - 1(y)

z = 3x(2x-1) - 1(2x-1) .... plug in y = 2x-1

z = 6x^2-3x - 2x + 1

z = 6x^2 - 5x + 1

Answer: Choice C

==================================================

Problem 4

You can use all three techniques.

In problems 1 and 3, I used the distributive property. For instance, to go from 3x(2x-1) to 6x^2-3x, I used the distributive property.

You could also use algebra tiles as a visual way to sort out the terms.

Lastly, you can use the box method, or box diagram, to split up a box and find the sub-areas through multiplication. Then add up those sub-areas to get the grand total area.

Answer:

No solution

Step-by-step explanation:

7s − 6 − 5 = 7s + 17

-7s               -7s

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

-6 - 5 = 17

-11 = 17

The sides aren't equal, thus there is no solution.

Answer:

None. It has no solutions

Answer:

The total cost of the salad and baked ziti is $3.50 + $9.25 = $12.75

To calculate the tip, you need to multiply the total cost by the tip percentage (expressed as a decimal)

Tip = $12.75 x 0.15 = $1.91

So you should leave $1.91 as a tip for the waiter.

Step-by-step explanation:

Answer:

Let j = number of shirts Jeff bought and s = the number of shirts Stephen bought.

a.) s + j = 15

b.) 2j - 3 = s

c.) Plug 2j -3 into the equation from question a.

2j -3 + j = 15

3j -3 = 15

3j = 18

j = 6

2j - 3 = s when j = 6

2(6) - 3 = s

s = 9

Jeff bought 6 shirts; Stephen bought 9 shirts.

d.) Jeff cost = 8.99(6) = $53.94

Stephen cost = 8.99(9) = $80.91

The lines which are parallel are none.

The slope is the ratio of the vertical changes to the horizontal changes between two points of the line.

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

where (x₁, y₁) and (x₂, y₂) are the two points that you are trying to find the slope between.

Given;

Coordinates of three lines

a;(1,5) and (-2,-4)

b;(3,2) and (1,-4)

c;(6,1) and (-4,2)

Now, slopes of the lines

a= -4-5/-2-1

=10/3

b=-4-2/1-3

=-3

c=2-1/-4-6

=1/-10

Therefore, by slopes of the line none of them are parallel.

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Answer:

the answer is a 0

Step-by-step explanation:

bacause there is 0 in first