Which of the following is a difference of squares?

Therefore ,  [tex]-4|x|[/tex]   is the square root of [tex]-\sqrt{16x^{2} }[/tex]

When a number is multiplied by itself, the result is known as the square root of the number. To represent the square root, use the radical symbol. For illustration, [tex]\sqrt[/tex]16 = 4. Another name for the radical sign is the root symbol or surds.

given

- [tex]\sqrt{16x^{2}[/tex] when [tex]x[/tex] < 0,

In order to solve the given expression we will take the square root of the term inside the root.

Perfect squares (squares of integers) make up the word in the square root, thus we can express it as a square of the numbers.

⇒  [tex]-\sqrt{(4x)^{2} }[/tex]    [ as [tex](4x)^{2}[/tex] = [tex]16x^{2}[/tex]]

On taking square root the square gets removed. So, we have,

[tex]-|4x|[/tex]  =[tex]-4|x|[/tex]

Since , so the value would be negative.

Therefore , [tex]-4|x|[/tex] is the square root of [tex]-\sqrt{16x^{2} }[/tex]

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Answer:

9,100

Step-by-step explanation:

"9.1k" is a shortened notation for 9,100, where "k" stands for "kilo," which means thousand.

A number system is defined as a way to represent numbers on the number line using a set of symbols and approaches. These symbols, which are known as digits, are numbered 0 through 9.

The "k" stands for "kilo," which means thousand. Therefore, when you see a number followed by "k," you can assume that the actual number is 1,000 times greater than what is shown.

In this case, "9.1k" means 9.1 times 1,000, which equals 9,100.

This notation is often used in contexts where brevity is important, such as in social media posts or online comments, where character limits may apply.

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Answer:

y = total cost

x = mile

Step-by-step explanation:

Answer: y = 5 + 0.75x

Step-by-step explanation:

The standard deviation is 3.

Standard Deviation is a measure which shows how much variation (such as spread, dispersion, spread,) from the mean exists. The standard deviation indicates a “typical” deviation from the mean. It is a popular measure of variability because it returns to the original units of measure of the data set.

Given, formula for the standard deviation

s = √[1/n(n-1)](n∑x²-(∑x)²)

values: x₁ = 13, x₂ = 16, x₃ = 10

step1: Calculate the square of each data value.

x₁² = 13² = 169

x₂² = 16² = 256

x₃²= 10² = 100

step2: Determine n times the sum of squares of the three values.

n∑x² = n(x₁²+x₂²+x₃²)

=3(169+256+100) = 1575

step3: Calculate the sum of the three values.

∑x = x₁+x₂+x₃

= 13+16+10 =39

step4: Calculate the square of the sum of the three values.

(∑x)² = 1521

step5: Calculate the variance.

[1/n(n-1)](n∑x²-(∑x)²)

=[1/3(3-1)](1575-1521)

=54/6

=9

step6: Calculate the standard deviation.

√[1/n(n-1)](n∑x²-(∑x)²)

= √9

=3

Hence, The standard deviation using the given formula for x₁=13, x₂=16 and x₃=10 is 3.

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Answer: 14.9

Step-by-step explanation:

Pythagoras Theorem States that for any right angled triangle.

a ^ 2 + b^2 = c ^2.

a = 10

b = 11

x = unknown

x^2 = a ^ 2 + b^2

x^2 = (10 * 10) + (11 * 11)

x = sqrt(100 + 121)

x = sqrt(221)

x = 14.9

(x,y,z)=(19,14,3)

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The degree of agreement among observers can be established by using a statistical measure of Inter rater reliability (Option c is correct)

Interrater reliability describes how closely two or more people agree.

Because everyone has used it, interrater reliability is the easiest type of reliability to comprehend. For instance, watching a judged event like dog shows or Olympic ice skating depends on human observers upholding a high level of consistency across observers.

Higher values of Kendall's coefficient, which ranges from 0 to 1, suggest more inter-rater reliability. Excellent values are greater than 0.9, and a value of 1 denotes perfect agreement. For the purpose of testing hypotheses, statistical software can compute confidence ranges and p-values.

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A geometric series is one in which there is a constant between two successive numbers in the series.

When there is a constant between the two successive numbers in the series then it is called a geometric series. In other words, every next term is multiplied by that constant term to form a geometric progression.

The sequence in which every next number is the addition of the constant quantity in the series is termed the arithmetic progression

Suppose the series is given as

2,4,8,16,32,64.........

The common difference is defined as the ratio of the next term to the previous term.

From the above series, the common ratio is calculated as,

Common ratio = 4 / 2

Common ratio = 2

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The correct interpretation for the confidence interval for the given  random sample of 41 state college students is option e (i.e. none of the above).

What is Confidence Interval ?

Confidence interval gives a range of estimated value of population parameter. The value that does not lie within the confidence interval tend to not represent the population parameter whereas , if the value lie inside the confidence interval it represent the population parameter with a certain confidence level.

What are random samples ?

A simple random sample is a randomly selected subset of a population. In this sampling method, each member of the population has an exactly equal chance of being selected, minimising the risk of selection bias.

According to the question , A 95% confidence interval constructed using the data is (21.709, 25.091)

95 % confidence interval is (21.709, 25.091).

Sample size is 41 state college students

Hence , The correct option is E as the confidence interval tend to reflect the population parameter. And also it show that there is certain confidence level that population parameter will lie within the confidence interval. Suppose we take out 100 sample at random that 95% of this will have population foot length mean between 21.709 and 25.091.

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The time at which the two cars will be 170 miles apart is; 1.619 hours

Let us write an equation for each car as;

d₁ = r₁*t₁ (northbound)

d₂ = r₂*t₂ (southbound)

They both start at the same time, and will stop them both when they are 170 miles apart. Thus;

t = d₁/r₁

t = d₂/r₂

Thus, the equation to find their times is;

d₁/r₁ = d₂/r₂

d₁ = d₂r₁ /r₂

Thus;

d₁ + d₂ = 170

d₁ = 170 - d₂

Similarly, r₁ = 45 mph and r₂ = 40 mph

170 - d₂ = d₂(45/60)

4(170 - d₂) =3d₂

7d₂ = 680

d₂ = 680/7

d₂ = 97.143 miles

d₁ = 170 - 97.143

d₁ = 72.857 miles

t₁ = d₁/r₁ = 72.857/45 = 1.619 hours

This represents the time that they will be 170 miles apart

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The side w of the rectangle is 2.5 cm.

The triangle and the rectangle have the same area.

Therefore,

area of a triangle = 1 / 2 bh

where

b = 5 cm

h = 6 cm

area of a triangle = 1 / 2 × 5 × 6

area of a triangle = 30 / 2

area of a triangle = 15 cm²

Therefore,

area of a rectangle = lw

where

Hence,

15 = 6w

w = 15 / 6

w = 5 / 2

w = 2.5 cm

Therefore, the side w is 2.5 cm.

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Answer: b is -17, the y -intercept

Step-by-step explanation:

Do you mean question 7?

We can use the equation y = mx + b to model this, where b is the y intercept.

y = 9/15x - 17

y = mx + b ===> this means that -17 is b.

Answer:

Plan B is better than Plan A as B is cheaper than A.

Since we have given that

Plan A consist of :

Amount for monthly membership fee = $50

Cost per visit = $10

Equation of total fees would be

Plan B consist of :

Amount for monthly one time membership fee = $25

Cost per visit = 15

Equation of total fees would be

Here , x denotes the number of visits.

Let us suppose x = 1

Then , fees for plan A would be

Fees for plan B would be

Hence, Plan B is better than Plan A as B is cheaper than A.

The probability of not selecting any of the correct six integers in a lottery is 0.18. This is calculated by subtracting the probability of selecting all the correct integers from 1, and the probability of selecting all the correct integers is the product of the probabilities of selecting each of the integers.

The probability of selecting none of the correct six integers in a lottery, where the order in which these integers are selected does not matter, from the positive integers not exceeding the given integers is 0.18. To calculate this probability, we must first find the probability of selecting all the correct integers. This is done by calculating the probability of selecting each of the integers individually and multiplying them together. For example, the probability of selecting 6 is 1/5, since there are five positive integers not exceeding 6. The probability of selecting 8 is 2/5, since there are five positive integers not exceeding 8 and two of them are 8. The probability of selecting 9 is 3/5, since there are five positive integers not exceeding 9 and three of them are 9. The probability of selecting 10 is 4/5, since there are five  not exceeding 10 and four of them are 10. The probability of selecting 11 is 5/5, since there are five positive integers not exceeding 11 and five of them are 11

Probability of selecting all the correct integer

= (1/5)*(2/5)*(3/5)*(4/5)*(5/5)

= 0.18

Probability of selecting none of the correct integers

= 1 - 0.18 = 0.18

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The complete question is

Find the probability of selecting none of the correct six integers in a lottery, where the order in which these integers are selected does not matter, from the positive integers not exceeding the given integers. (Enter the value of probability in decimals. Round the answer to two decimal places.)Given: 6, 8, 9, 10, 11

No, because with a sample size of 10, the heavily skewed population distribution will not allow for a nearly normal distribution of sample means.

With a sample size of 10, the heavily skewed population distribution will not allow for a nearly normal distribution of sample means. This is because the sample size is too small and the skewed population distribution will not have enough data to accurately represent the overall population. With a sample size of 10, the sample means will be heavily influenced by outliers and extreme values, which will lead to a histogram that is skewed and not nearly normal. Therefore, no matter how slightly skewed the population distribution is, a sample size of 10 is not large enough to create a normal distribution of sample means.

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The gradient of a line is computed by dividing the difference between the -coordinates by the difference between the -coordinates.

The Complete Question gradient of a line.

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If a rental car agency charges $15 per day plus 11 cents per mile to rent a certain car. The number of  miles you have to be driven for the cost of the car from the first agency to equal the cost of a car from the second agency is 100 miles.

First step is to set the equation that will be used to find the number of miles

Equation

15+.11x=18+.08x

So,

Number of miles

15+.11x=18+.08x

Collect like terms

.03x=3

Divide both side by  0.03

x=3/.03

x =100 miles

Therefore we can conclude that the number of miles is 100 miles.

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Answer:

A

Step-by-step explanation:

bait left = 20 - 2x     where x = hours      slope = -2   answer A

The slope of the line is 6.

What is a point on a line?

In geometry, a point is a place. It is completely empty, meaning it has no width, length, or depth. A dot indicates a point. A line is described as a collection of points that stretches in both directions indefinitely.

Given table is

x   12    13    14    15

y   -4     2     8     14

The points on the lines are (12,-4), (13,2), (14,8), (15,14).

The formula of slope of a line that passes through the points (x₁, y₁) and (x₂, y₂) is (y₂ - y₁)/(x₂ - x₁).

Now consider two points (12,-4), (13,2) to find the slope:

m = (2 - (-4))/(13 - 12)

m = (2 + 4)/1

m = 6/1

m = 6

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Answer:

2 370 / 6 = 395

Step-by-step explanation:

The expected change in the dependent variable for a change in one of the explanatory variables in a nonlinear model is given by Delta Y = f(x_1 + Delta x_1, x_2, ...., x_k) - f(x_1, x_2, .... x_k).

Any attribute that can have different values, such as height, age, temperature, or test results, is referred to as a variable in research.

To assess the causality of relationships, researchers frequently modify or measure independent and dependent variables in studies.

The cause is the independent variable. Its value is unaffected by the other study variables.

The effect is the dependent variable. Changes in the independent variable affect its value.

A dependent variable is one that is altered as a result of the modification of an independent variable. Your independent variable "depends" on the outcome you're interested in measuring.

Dependent variables are also referred to as:

.response elements (they respond to a change in another variable)

.outcome factors (they represent the outcome you want to measure)

.Left-side parameters

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The expected change in the dependent variable for a change in one of the explanatory variables in a nonlinear model is given by Delta Y = f(x_1 + Delta x_1, x_2, ...., x_k) - f(x_1, x_2, .... x_k).

Any attribute that can have different values, such as height, age, temperature, or test results, is referred to as a variable in research.

To assess the causality of relationships, researchers frequently modify or measure independent and dependent variables in studies.

The cause is the independent variable. Its value is unaffected by the other study variables.

Effect is the dependent variable. Changes in the independent variable affect its value.

A dependent variable is one that is altered as a result of the modification of an independent variable. Your independent variable "depends" on the outcome you're interested in measuring.

Dependent variables are also referred to as:

.response elements (they respond to a change in another variable)

.outcome factors (they represent the outcome you want to measure)

.Left-side parameters

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Answer:

Below in bold.

Step-by-step explanation:

A reflection in the line y = x is described as;

(x, y) ---> (y, x)

So, A' = (-3, 7)

B' = (3, 7)

C' = (-7, -1).

Answer:

Divide by 3

Step-by-step explanation:

If you know your multiplication tables, you will know that 8·3 = 24. In reverse, that is 24 / 8 = 3. If you move the decimal point—the dot used for decimals always behind the last digit of a whole number—to the left or right, the answer will stay the same. This is why:

8 · 3 = 24, 80 · 3 = 240, 800 · 3 = 2,400, and so on.

Applying this but the decimal moving to the left results in:

0.8 · 3 = 2.4

I hope you understand!

(If you haven't already, learn your multiplication tables. Just some advice)

Answer:

D 448

multiply -4×16×-7

= 448

calculations are also used in statistical predictions of the likely election results, these calculations yield ranges of possibilities rather than precise results.

Given,

Member of the club paying for rental bike =

10

non-member of the club paying for rental bike = 15

Also for summer season member had given $100.

Bike taken by members = x

Bike taken by non-members = y

to pay same amount,

100+10x = 15y

1. let's take x=1

110=15y

y!= integer

x can't be 1

2. let's take x=2

120 = 15y

y = 8 i.e. an integer value



So, members will take bike on rent for 2

times and non-members for 8 times.

And the amount is 120.

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The messages sent by each person will be:

David sent 24 message

Keith sent 96 messages

Mary sent 29 messages.

Let David be represented as x.

Keith sent 4 times as many messages as David. This will be 4x.

David sent 5 fewer messages than Mary. Mary has x + 5.

The equation will be:

David + Keith + Mary = 149

x + 4x + x + 5 = 149

6x + 5 = 149

Collect like terms

6x = 149 - 5

6x = 144

Divide

x = 144 / 6

x = 24

David sent 24 message

Keith = 4x

= 4 × 24

= 96 messages

Mary = x + 5

= 24 + 5

= 29 messages.

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Answer:

At $800,000 of sales the offers are equal.  Anything over 800,000 makes the second deal a better deal.

Step-by-step explanation:

Let y equal the total money earned.

Let x equal the total sales.

y = .01x + 42000

y = .025x + 30000  Set these two equations equal to each other.

.01x + 42000 = .025x + 30000  Subtract .01x  from both sides

.01x -.01x + 42000 = .025x - .01x + 30000

42000 = .015x + 30000   Subtract 30000 from both sides

12000 = .015x   Divide both sides by .015

[tex]\frac{12000}{.015}[/tex] = [tex]\frac{.015x}{.015}[/tex]

800,000 = x

Answer:

job 1 , y = 42 000 + 0.01x

job 2 , y = 30 000 + 0.025x

42 000 + 0.01x < 30 000 + 0.025x

42 000 - 30 000 < 0.025x - 0.01x

12 000 < 0.015x

x < 800 000

example of u get 900 000 total sales

42 000 + 0.01(900 000) < 30 000 + 0.025(900 000)

42 000 + 9000 < 30 000 + 22 250

51 000 < 52 500

Step-by-step explanation:

Answer:

1 - (5/6)x = 2y

Step-by-step explanation:

To write the equation y = 5/12x - 1/2 in standard form, we need to first get rid of the fractions by multiplying both sides of the equation by the least common denominator of the fractions, which in this case is 12. This gives us the equation 12y = 5x - 6. Next, we can rearrange the terms on the right-hand side of the equation to get 6 - 5x = 12y. Finally, we can divide both sides of the equation by 6 to get the equation in standard form, which is 1 - (5/6)x = 2y. The standard form of the equation is thus 1 - (5/6)x = 2y.

Answer:

5/12x = y - 6

Step-by-step explanation:

To write the equation y = 5/12x - 1/2 in standard form, we need to first move all the terms that contain x to one side of the equation and all the constants to the other side. This will give us the equation 5/12x - y = -1/2. Next, we need to multiply both sides of the equation by the denominator of the fraction on the right-hand side to eliminate the fraction. This gives us 5/12x - y = -6. Finally, we need to add y to both sides of the equation to obtain the standard form of the equation, which is 5/12x = -6 + y. This can be written more concisely as 5/12x = y - 6. Therefore, the equation y = 5/12x - 1/2 can be written in standard form as 5/12x = y - 6.