Find the distance between the two numbers on a number line. -3.1 and
5.7

Answer:

64.8 ounces

Step-by-step explanation:

48 nails times 1.35 ounces gives you 64.8 ounces.  

Answer: 10,000 less of 84.562 = −

9915.438 | 10000 more of 84.562 = 10084.562

Step-by-step explanation:

10000 less:

Just subtract 10000 from 84.562.

10000 More:

Just add 10000 to 84.562

The requried each side of the square is 17 cm.

The formula for the area of a square is:

Area = side²

We know that the area of the square is 289 cm², so we can write:

289 = side²

To solve for the length of each side, we need to take the square root of both sides of the equation:

√289 = √(side²)

17 = side

Therefore, each side of the square is 17 cm.

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Answer:

\(x = 4 \\ z = 106\)

Step-by-step explanation:

\((5x + 86) + (10x + 34) = 180 \\ 15x + 120 = 180 \\ 15x = 180 - 120 \\ 15x = 60 \\ \\ x = \frac{60}{15} \\ \\ x = 4\)

\((5x + 86) = 5(4) + 86 = 20 - 86 = 106\)

Z= 106 —> Opposite angles

I hope I helped you^_^

Answer:

To multiply the mixed numbers 1 3/4 and 2 1/2, you can convert them to improper fractions, then multiply the numerators and denominators. Here's the step-by-step process:

1 3/4 = (4 * 1 + 3) / 4 = 7/4

2 1/2 = (2 * 2 + 1) / 2 = 5/2

Now, multiply the numerators and denominators:

(7/4) * (5/2) = (7 * 5) / (4 * 2) = 35/8

Therefore, 1 3/4 multiplied by 2 1/2 is equal to the simplified fraction 35/8.

Answer:

for 3 is increasing and for 4 is decreasing

Step-by-step explanation:

Answer:

112

Step-by-step explanation:

If she takes 1/8 of an hour to complete one then she can finish 8 in 1 hour.

8 x 14 = 112

Answer:

28

Step-by-step explanation:

Diagonals of a rectangle are congruent and bisects each other. So, using this property and By exterior angle theorem:

2x° = 56°

2x = 56

x = 56/2

x = 28

Answer: x=28

Step-by-step explanation:

A line has to be 180 degrees

You have 56, so 180-55=124 degrees

Angles are parallel because of the two double curve line.

Now you have that one triangle with the angle of 124degrees and x degrees and the third angle is unknown.

You know that a triangle is 180 degrees

So 180-124=56 degrees

So the unknown angle and the x angle together have to equal 56 degrees.

Since both angles are the same all you do is 56/2.

Now x= 28degrees

The innovation that was made possible in part because of the Carterfone decision in 1968 is the public Internet. The correct answer is option C

The Carterfone decision was a landmark ruling by the Federal Communications Commission (FCC) that allowed for the interconnection of third-party devices to the telephone network. Prior to this decision, telephone companies had a monopoly on the equipment that could be used on their networks, and customers were not allowed to attach their own devices.

This decision paved the way for the development of the public Internet by allowing for the interconnection of third-party devices to the telephone network, which enabled the creation of new technologies, such as modems. Without the Carterfone decision, the public Internet as we know it today may not have been possible.

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Answer:

\(12\) cm

Step-by-step explanation:

If Kelsey knit a total of \(6\) cm of scarf over \(2\) nights, then we know that she can knit \(\frac{6}{2}=3\) cm each night. Therefore, after \(4\) nights of knitting, Kelsey would have knit a total of \(3*4=12\) cm of scarf in total. Hope this helps!

The 80th percentile is 125.37.

It is required to find the solution.

A part of a whole expressed in hundredths a high percentage of students attended. Also the result obtained by multiplying a number by a percent the percentage equals the rate times the base.

Given:

The weights (in pounds) of seven people:

100, 115, 135, 140, 180, 197, 230.

We have to find the 80th percentile first we have to find the mean of seven people.

Mean=100+ 115+135+140+ 180+197+ 230/7

Mean=156.71

100 percent=156.71

80  percent=156.71*80/100

80  percent=125.37.

Therefore, the 80th percentile is 125.37.

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A company seeking to estimate the time required to produce 100 units of a product based on past production rates should utilize regression analysis. This statistical method is the most effective among the given choices because it focuses on identifying the relationship between variables, such as production rates and time, and uses this relationship to make predictions.

Regression analysis will enable the company to develop a model that quantifies the relationship between the production rates (independent variable) and the time taken to produce units (dependent variable). By analyzing historical data, the company can establish a mathematical equation to predict future production times based on the past performance.

Hypothesis testing and confidence intervals are less suited for this purpose, as they primarily focus on determining the significance of relationships or differences between groups rather than predicting future outcomes. Similarly, correlation analysis measures the strength of a relationship between variables but does not predict future values based on past data.

In summary, regression analysis is the most effective statistical method for a company to estimate the time required to produce 100 units of a product based on past production rates. This method enables the company to create a predictive model, which can help optimize production processes and enhance overall efficiency.

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The social system in which life centered around a feudal lord's castle or house was known as feudalism.

What was Feudalism?

Feudalism was a political, economic, and social structure that dominated Western Europe during the Middle Ages. It was a social system in which life centered around a feudal lord's castle or house, as mentioned in the question.

The king granted fiefs to nobles in exchange for loyalty and service, who in turn granted land to lesser nobles called vassals. The vassals then promised to serve the nobleman, known as their lord, by providing military service, money, or other benefits. The vassals had serfs who worked on the land and paid rent to the lord.

They were granted protection in return for their service, and this was the primary method of social organization during the Middle Ages.

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Answer:

y = 96°

Step-by-step explanation:

The measure of the inscribed angle y is half the measure of its intercepted arc.

The whole circle = 360°

the intercepted arc = 360° - 168° = 192°

Thus

y = \(\frac{1}{2}\) × 192° = 96°

The lower bound for the number of minutes that it takes for all people to leave is of:

70 minutes.

At a football match, there are 29 800 people, correct to the nearest 100. The fewest number of people that can be there, hence, is of:

29,750.

(as 29749 would be rounded to 29,700).

At the end of the football match, the people leave at a rate of 400 people per minute, correct to the nearest 50 people, hence the fastest rate is given as follows:

424 people per minute.

(as 425 people would be rounded to 450).

Hence the time it would take is obtained applying the proportion as follows:

29750/424 = 70 minutes.

(lower bound is fewest time, hence lowest number of people leaving at the fastest rate).

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The equation of the line is y = 2x + 8 that is parallel to the given line y = 2x + 2 and passes through the point (−3, 2)

An equation is an expression that shows the relationship between two or more numbers and variables.

The equation of a straight line is:

y = mx + b

Where m is the rate of change and b is the y intercept.

Two lines are parallel if they have the same slope.

Let us assume that the line is parallel to y = 2x + 2 and passes through the point (−3, 2).

The slope of the line y = 2x + 2 is 2, Since it is parallel, the slope is also 2. hence:

y - y₁ = m(x - x₁)

y - 2 = 2(x - (-3))

y - 2 = 2(x + 3)

y = 2x + 8

The equation of the line is y = 2x + 8

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An equation of the line that is parallel to the given line and passes through the point (−3, 2) is: 4x + 3y = -6.

Mathematically, the slope of any straight line can be calculated by using this formula;

Slope, m = (Change in y-axis, Δy)/(Change in x-axis, Δx)

Slope, m = (y₂ - y₁)/(x₂ - x₁)

By critically observing the graph (see attachment), we can logically deduce that the line passes through the following points:

Points (x, y) = (3, -1)

Points (x, y) = (0, 3)

Substituting the given parameters into the formula, we have;

Slope, m = (3 + 1)/(0 - 3)

Slope, m = 4/-3

Slope, m = -4/3.

In Geometry, two (2) lines are parallel under the following conditions:

m₁ = m₂ ⇒ -4/3 = -4/3

Note: m represents the slope.

At point (-3, 2), an equation of the other line can be calculated by using the point-slope form:

y - y₁ = m(x - x₁)

Where:

Substituting the given points into the formula, we have;

y - y₁ = m(x - x₁)

y - 2 = -4/3(x - (-3))

y - 2 = -4/3(x + 3)

y - 2 = -4x/3 - 4

y - 2 = -4x/3 - 4 + 2

y = -4x/3 - 2

Multiplying all through by 3, we have:

3y = -4x - 6

Rearranging the equation, we have:

4x + 3y = -6

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Answer:

number is 1

Step-by-step explanation:

let the number be n , then 2 times the number is 2n and 3 more than this is

2n + 3 , so

2n + 3 = n + 4 ( subtract n from both sides )

n + 3 = 4 ( subtract 3 from both sides )

n = 1

That is the number is 1

The required number is 1 which represents "3 more than 2 times a number is equal to that number plus 4"

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.

Let the required number would be x.

According to the given question, translate the phrase into an algebraic equation:

3 + 2x = x + 4

Subtracting x from both sides gives:

3 + 2x - x = x + 4 - x

Simplifying the left side gives:

3 + x = 4

Subtracting 3 from both sides gives:

3 + x - 3 = 4 - 3

Simplifying the left side gives:

x = 1

Therefore, the required number would be 1.

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Answer:

The answer is

→ \(A.)\) \(2\frac{1}{4}\)

Step-by-step explanation:

Option A is the answer because the line after letter B should be 2.5, and were talking about the one between 2 and 2.5. Which means that, Option A should be your correct answer.

⇒To check if the given point (2,-8) is the solution to the system you should have a general knowledge that 2 is the input that is represented by variable x and -8 is the output variable represented by letter y.

⇒Now to check if the point is a solution we will have to check for both cases  ....y<x-1 and .....y>-x+2

x=2 and y=-8 in the system y< x-1

LHS=-8

RHS=(2)-1

RHS=1

-8<1

The result is true for the first inequality

for the second system inequality

x=2 and y=-8

LHS=-8

RHS=-(2)+2

RHS=-2+2

RHS=0

-8<0 but in the inequality it is saying that -8>0 which is not true but False

⇒As a conclusion point (2,-8) is not a solution to the system as it does not apply to both the conditions.

⇒The answer is no.

In order to calculate the new divisor for a 3-for-4 reverse stock split, we must first calculate the new share price for Able. Since 3/4 of the shares are being replaced with just 1/4 of the old shares, the new price for Able will be $111 (3 x $37 = $111).

The divisor is used to calculate the new index value by dividing the sum of the new share prices by the divisor. Therefore, the new divisor will be 1.33 ($111 + $312 + $94 = $517 / 1.33 = $389.28). This is because the new share prices will total $517 and when you divide that by the divisor, the index value will be $389.28.

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Explanation:

The number \(\pi\) (read out as "pi") is approximately 3.14

So \(3 \times \pi = 3\pi \approx 3*3.14 \approx 9.42\)

On the other hand,

\(\sqrt{64} = \sqrt{8^2} = 8\)

So we can see that the original claim is false because \(3\times \pi \approx 9.42\) is not smaller than \(\sqrt{64} = 8\). It should be the other way around.

The distance between points M(6, 16) and Z(-1, 14) is approximately 7.1 units.

We can use the distance formula to find the distance between two points in a coordinate plane. The distance formula is:

d = √((x2 - x1)² + (y2 - y1)²)

where (x1, y1) and (x2, y2) are the coordinates of the two points. Substituting the coordinates of M(6, 16) and Z(-1, 14), we get:

d = √((-1 - 6)² + (14 - 16)²) = √(49 + 4) = √53 ≈ 7.1

Therefore, the distance between points M(6, 16) and Z(-1, 14) is approximately 7.1 units.

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Answer:

-3 and 7

Step-by-step explanation:

EDGE2021

If company sponsored survey of 199 customers and found that 117 customers were satisfied, then test-statistic "z" is approximately equal to 1.076.

In order to conduct hypothesis-test for population-proportion, we  calculate "test-statistic" z using the given information.

Let us define the null and alternative hypotheses:

Null-hypothesis (H₀): The customer satisfaction rate is equal to the claimed rate of 55%.

Alternative-hypothesis (H₁): The customer satisfaction rate is different from the claimed rate of 55%.

We use the sample data to estimate the population proportion. In this case, the sample proportion of customers satisfied is 117/199 = 0.5879,

To calculate "test-statistic" z, we compare the sample-proportion with the claimed proportion under the null hypothesis.

z = (p - P₀) / √[(P₀ × (1 - P₀)) / n],

Where : p = sample proportion,

P₀ = claimed proportion under the null hypothesis,

n = sample-size,

In this case : We have : p = 0.5879, P₀ = 0.55, and n = 199.

The test-statistic z will be :

z = (0.5879 - 0.55)/√[(0.55 × (1 - 0.55)) / 199]

= 0.0379 / √[(0.55 × 0.45) / 199]

= 0.0379 / √(0.2475 / 199)

= 0.0379 / √(0.0012447)

≈ 0.0379/0.03527

≈ 1.076.

Therefore, the test statistic z is approximately equal to 1.076.

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Answer:

D.

Step-by-step explanation:

the graph,, top of the graph says year and students enrolled

The inequality that would be used to solve for the LEAST amount of money he needed to deposit to avoid a fee is 638.54 - 159.50 + x ≥ $500

The given parameters:

initial amount of money in Malcom's account = $638.54

a constant balance to be maintained to avoid a fee = $500

amount to be withdrawn today = $159.50

To find:

Let the LEAST amount = x

Here are basic things to note in order to form the equation:

Considering the above explanation, the inequality becomes;

638.54 + x - 159.50 ≥ $500

Rearrange to match the given options;

638.54 - 159.50 + x ≥ $500

Thus, the inequality that would be used to solve for the LEAST amount of money he needed to deposit to avoid a fee is 638.54 - 159.50 + x ≥ $500

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A plane intersects a cylinder perpendicular to its bases this cross section can be described as a rectangle. Therefore, the correct answer is option 1).

The cross section of a plane intersecting a cylinder perpendicular to its bases is a rectangle. This is because when a plane intersects a cylinder perpendicularly (at right angles) the cross-section area has the shape of a rectangle. The base of the rectangle is determined by the diameter of the cylinder and the height is determined by the length of the cylinder.

A parabola, triangle, and circle are not possible when the plane intersects the cylinder perpendicularly since their shapes cannot accurately represent the intersection of two geometric shapes.

Therefore, the correct answer is option 1).

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Answer:

x < 3

Step-by-step explanation:

Isolate the variable, x. Treat the < sign as an equal sign, what you do to one side, you do to the other.

Do the opposite of PEMDAS.

PEMDAS is the order of operation, and stands for:

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction

~

First, add 1 to both sides of the equation:

4x - 1 (+1) < 11 (+1)

4x < 11 + 1

4x < 12

Next, divide 4 from both sides of the equation:

(4x)/4 < (12)/4

x < 12/4

x < 3

x < 3 is your answer.

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Linear correlation coefficient after the best esitmation of the given data is 0.688.

How to calculate  linear correlation coefficient?

To find the linear correlation coefficient, we first need to calculate the mean and standard deviation of both X and Y:

$\bar{X} = \frac{1+3+4+5+6+8+9+10}{8} = 5.375$

$\bar{Y} = \frac{4+2+4+7+7+6+6+8}{8} = 5.375$

$s_X = \sqrt{\frac{\sum{(X-\bar{X})^2}}{n-1}} = \sqrt{\frac{(1-5.375)^2 + (3-5.375)^2 + ... + (10-5.375)^2}{8-1}} = 2.927$

$s_Y = \sqrt{\frac{\sum{(Y-\bar{Y})^2}}{n-1}} = \sqrt{\frac{(4-5.375)^2 + (2-5.375)^2 + ... + (8-5.375)^2}{8-1}} = 1.870$

Next, we can calculate the sum of products of deviations from the means:

$\sum{(X-\bar{X})(Y-\bar{Y})} = (1-5.375)(4-5.375) + (3-5.375)(2-5.375) + ... + (10-5.375)(8-5.375) = 20.125$

Finally, we can use these values to calculate the linear correlation coefficient:

$r = \frac{\sum{(X-\bar{X})(Y-\bar{Y})}}{(n-1)s_Xs_Y} = \frac{20.125}{(8-1)2.927 \cdot 1.870} \approx 0.688$

Therefore, the best estimate of the linear correlation coefficient is 0.688, option A.

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