217.7026683718 rounded to the nearest thousandth

If the scale of drawing is 1 inches : 250 inche and the real horse height is 15 inche, then the height of the horse in drawing is 0.06 inches.

The ratio that describes the relationship between the true figure itself and model is called the scale. It serves as a representation of the real statistics in smaller units on maps. A scale of 1:5, for instance, indicates that 1 on the map is approximately the size of 5 in the actual world.

The scale of drawing the horse = 1 inch :

Therefore in scale

Horse height in drawing equals one inch

The  height of the horse = 250 inche

The original height of the horse = 15 inche

The height in the picture = x inches

To find the height the horse in the picture, we have to use proportion

1 inch : 250 inche = x inches : 15 inche

1 / 250 = x / 15

1 × 15= 250x

250x = 15

x = 15/250

x = 0.06 inches

Therefore, the height of the horse in drawing is 0.06 inches

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Answer:

Step-by-step explanation:

im gonna try my best to explain and get an answer since this question is vague :D

to find the area of a cylinder (the shape of the can): A=2πrh+2πr2

since theres no stated radius you have to divide the diameter by 2 to solve.

so plug it in from the equation above

the cans she is trying to make will all have an area of 207.4 (rounded to nearest tenth/not rounded is 207.35)

207 x 12 = 2,484.

so diana can make 12 cans using 2,484 in out of the sheet of metal she is using.

hope this helps in someway.

Answer: C.) 25,000,000

D.) 10

Step-by-step explanation:

The equation of a plane in vector form is r. (n * a) = d, where a is a point on the plane, n is the normal, r is the position vector, and d is the distance from the origin. The line passes through (0,-5,-4) and has a direction vector of d = (1,0,0).

Given:Point through which the line passes (0,−5,−4)Normal to the surface at (0,−5,−4)The equation of a plane in vector form is given byr. (n * a) = dwhere, a is a point on the plane, n is the normal to the plane, r is the position vector and d is the distance of the plane from the origin.For the given point and normal vector,n = (0,-1,0)and a = (0,-5,-4)respectively.

So, the plane equation can be written as

r.(0,-1,0) = - 5

So, the equation of the plane can be given by y = - 5 It is given that the line passes through the point (0,-5,-4) which is normal to the surface at (0,-5,-4).As the given normal vector is in y-direction, the line will be parallel to x-z plane and perpendicular to the y-axis.

So, the direction vector of the line can be given byd = (1,0,0)Now, as the line passes through (0,-5,-4), we can get the vector equation of the line as

r = a + td

where, t is the parameter.So, the vector equation of the line can be givend = (0,-5,-4) + t(1,0,0)Thus, the vector equation of the line through point (0,−5,−4) which is normal to the surface at (0,−5,−4) isr = (t, - 5, - 4) where t is any real number.

Note: In the given question, it was not mentioned about the surface. But it is given that the line is normal to the surface. So, the equation of the surface is taken as the plane equation.

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Answer:

There are two possibilities: 1) A is the hypotenuse: \(C \approx 18.74\), 2) A is not the hypotenuse: \(C \approx 21.19\)

Step-by-step explanation:

Let be C the remaining side of the triangle. Given that triangle is right-angled and the remaining side can be found by Pythagorean Theorem, there are two options by using the two known sides:

1) A is the hypotenuse

\(20^{2} = 7^{2} + C^{2}\)

\(C^{2} = 20^{2}-7^{2}\)

\(C = \sqrt{20^{2}-7^{2}}\)

\(C \approx 18.74\)

2) A is not the hypotenuse

\(C^{2} = 20^{2} + 7^{2}\)

\(C = \sqrt{20^{2}+7^{2}}\)

\(C \approx 21.19\)

The end of the plank is sliding along the ground at a rate of approximately -0.08 m/s when it is 1.4 meters from the wall of the building. The negative sign indicates that the end of the plank is sliding in the opposite direction.

To find how fast the end of the plank is sliding along the ground, we can use related rates. Let's consider the position of the end of the plank as it moves along the ground.

Let x be the distance between the end of the plank and the wall of the building, and y be the distance between the end of the plank and the ground. We are given that dx/dt = 0.26 m/s, the rate at which the worker pulls the rope.

We can use the Pythagorean theorem to relate x and y:

x² + y² = 5²

Differentiating both sides of the equation with respect to time, we get:

2x(dx/dt) + 2y(dy/dt) = 0

At the given moment when x = 1.4 m, we can substitute this value into the equation above and solve for dy/dt, which represents the rate at which the end of the plank is sliding along the ground.

2(1.4)(0.26) + 2y(dy/dt) = 0

2(0.364) + 2y(dy/dt) = 0

0.728 + 2y(dy/dt) = 0

2y(dy/dt) = -0.728

dy/dt = -0.728 / (2y)

To find y, we can use the Pythagorean theorem:

x² + y² = 5²

(1.4)² + y² = 5²

1.96 + y² = 25

y² = 23.04

y = √23.04 ≈ 4.8 m

Substituting y = 4.8 m into the equation for dy/dt, we have:

dy/dt = -0.728 / (2 * 4.8) ≈ -0.0757 m/s

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The vector equation for the line is r(t) = (8, -5, 4) + t(1, 3, -2). The parametric equations for the line are: x = 8 + t, y = -5 + 3t, z = 4 - 2t.

To find the vector equation and parametric equations for the line, we start with the point (8, -5, 4) through which the line passes. Then, we consider the direction vector (1, 3, -2) that is parallel to the line.

In the vector equation, we add the point (8, -5, 4) to the scalar multiple of the direction vector (1, 3, -2) by the parameter t. This gives us the position vector r(t) that represents points along the line.

In the parametric equations, we express the coordinates (x, y, z) of points on the line as functions of the parameter t. By varying the parameter t, we can obtain different points along the line. The equations show how each coordinate changes with respect to t.

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There are two main subtypes of quantitative data, which are discrete data and continuous data. Each subtype has different techniques for analysis.

1. Discrete data: This type of data represents whole numbers or counts that can only take specific values. Examples include the number of students in a class or the number of cars in a parking lot. Techniques used to analyze discrete data include:
  a. Frequency distribution: A summary of the number of times each value appears in the dataset.

 b. Measures of central tendency: Calculating the mean, median, and mode of the dataset to understand its central point.

 c. Measures of dispersion: Assessing the range, variance, and standard deviation to understand the spread of the data.

2. Continuous data: This type of data represents measurements that can take any value within a range, such as height, weight, or temperature. Techniques used to analyze continuous data include:

 a. Histogram: A graphical representation of the distribution of the data, using bars to represent the frequency of values within specific intervals.

  b. Probability density function: A mathematical function that describes the probability of a continuous random variable falling within a specific range.

  c. Regression analysis: A statistical method for analyzing the relationship between a dependent variable and one or more independent variables.

Both discrete and continuous data can also be analyzed using inferential statistics, such as hypothesis testing and confidence intervals, to make inferences about a population based on a sample of the data.

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The equation given is matched with the respective vertex forms.

The standard equation for a circle is given by

(x-h)² + (y-k)² = r²

The equation given in the question are

x² + y²  − 4x + 12y − 20 = 0

(x − 6)²  + (y − 4)²  = 56

x²  + y²  + 6x − 8y − 10 = 0

(x − 2)²  + (y + 6)²  = 60

3x²  + 3y²  + 12x + 18y − 15 = 0

(x + 2)²  + (y + 3)²  = 18

5x²  + 5y²  − 10x + 20y − 30 = 0

(x+3)²  + (y-4)²  = 35

2x²  + 2y²  − 24x − 16y − 8 = 0

(x-1)²  + (y+2)²   = 11

The first equation is

x² + y²  − 4x + 12y − 20 = 0

It can be written ad

x² -4x + 4 - 4 +y²+12y +36-36 -20 = 0

(x-2)² +(y+6)²= 60

The second equation is

x²  + y²  + 6x − 8y − 10 = 0

x² +6x +9-9 +y²  -8y +16-16 -10 = 0

(x+3)²  + (y-4)²  = 35

The third equation is

3x²  + 3y²  + 12x + 18y − 15 = 0

(x + 2)²  + (y + 3)²  = 18

The fourth equation is

5x²  + 5y²  − 10x + 20y − 30 = 0

(x-1)²  + (y+2)²   = 11

The fifth equation is

2x²  + 2y²  − 24x − 16y − 8 = 0

(x − 6)²  + (y − 4)²  = 56

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A significance level of 0.10, we have enough evidence to conclude that the new copy machines have a significantly faster mean repair time compared to the older model.

To test if the new copy machines are faster to repair, we can set up the following null and alternative hypotheses:

Null Hypothesis (H₀): The mean repair time for the new copy machines is the same as the mean repair time for the older model.

Alternative Hypothesis (H₁): The mean repair time for the new copy machines is less than the mean repair time for the older model.

Let's perform a one-sample t-test to test these hypotheses. The test statistic is calculated as:

t = (sample mean - population mean) / (sample standard deviation / √(sample size))

Given:

Population mean (μ) = 93 minutes

Sample mean (\(\bar x\)) = 86.8 minutes

Sample standard deviation (s) = 14.6 minutes

Sample size (n) = 18

Significance level (α) = 0.10

Calculating the test statistic:

t = (86.8 - 93) / (14.6 / sqrt(18))

t = -6.2 / (14.6 / 4.24264)

t ≈ -2.677

The degrees of freedom for this test is n - 1 = 18 - 1 = 17.

Now, we need to determine the critical value for the t-distribution with 17 degrees of freedom and a one-tailed test at a significance level of 0.10. Consulting a t-table or using statistical software, the critical value is approximately -1.333.

Since the test statistic (t = -2.677) is less than the critical value (-1.333), we reject the null hypothesis.

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Answer:

3 or -3

Step-by-step explanation:

What number multiplied by itself will give you 9

1*1 =1

2*2 =4

3*3 =9

Also note that negative times negative will be positive so

-1*-1=1

That means -3*-3 = 9

Answer:

3^2 0r (-3)^2

Step-by-step explanation:

let the number be x

x^2=9

x=\(\sqrt{9\)

x=\(\sqrt{3*3\)

x=3

there fore x=plus or minus 3.since it is a sqauring a number if u square (-3)^2 along will the number sign also gets multiplied and (-*-)=+ so u we get positive number.

therefore if u square 3 then u will get 9

Answer:5o

Step-by-step explanation: you add all of the numbers length with and high the

Answer:

Peppa does not know

Step-by-step explanation:

Answer:

5/7

Step-by-step explanation:

You are adding both fractions together to determine the total of the floor they both cleaned in all.

so 2/7 + 3/7 =    

To add fractions, you need both denominators to be the same. In this case, they are already the same so you don't need to adjust the fraction before adding them.

Now all you need to do is to add the numerators together so

2 + 3 = 5

So you put the numerator total over the common denominator.

* You do not add the denominators, only the numerators.

5/7

The quiz scores of Rich Borne's Chemistry 101 students are as follows: 24, 31, 47, 29, 31, 16, 48, 41, 50, 54, 37, 22, 54, 38, 7, and 16.the performance of Rich Borne's Chemistry 101 students on the quiz

To analyze this data, we can calculate various descriptive statistics such as the mean, median, mode, range, and standard deviation. The mean (average) score can be obtained by summing up all the scores and dividing by the total number of scores. The median represents the middle value when the scores are arranged in ascending order. The mode refers to the most frequently occurring score. The range is the difference between the highest and lowest scores, indicating the spread of the data. The standard deviation measures the variability or dispersion of the scores around the mean.

By calculating these descriptive statistics, we can gain insights into the performance of Rich Borne's Chemistry 101 students on the quiz and understand the central tendency and variability of their scores.

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The answer is multiply both sides of the equation by 12. Therefore, y/3 × 12=4y while 1/4 × 12=3, then 5×12=60. 4y-3=60.

The answer is multiply both sides of the equation by 12. Therefore, y/3 × 12=4y while 1/4 × 12=3, then 5×12=60. 4y-3=60.Please Mark BRAINLIEST!!! Please

Answer:

multiplied both sides of the equation by 12

Step-by-step explanation:

\(\frac{y}{3} -\frac{1}{4} = 5\\12(\frac{y}{3}-\frac{1}{4}) = 12(5)\\4y-3=60\)

The values of x and y of the parallelogram PQRS are x = 2 and y = 11

We're given the dimensions of parallelogram PQRS as;

PT = y

TR = 5x + 1

QT = 2y

TS = 6x + 10

T is the intersection of the two diagonals PR and QS and so the diagonals bisect each other.

The diagonal PR is cut into PT and TR, both of which are congruent or equal. Thus, PT = TR.

Similarly, the other diagonal QS is split in half as well. The two equal pieces are QT and TS. So QT = TS.

PT = TR

y = 5x + 1

and

QT = TS

2y = 6x + 10

Plugging the values gives;

2y = 6x + 10

2(y) = 6x + 10

2(5x + 1) = 6x + 10

2*5x + 2*1 = 6x + 10

10x + 2 = 6x + 10

10x + 2 - 6x = 6x + 10 - 6x

4x + 2 = 10

4x + 2 - 2 = 10 - 2

4x = 8

4x/4 = 8/4

x = 2

If x = 2, then y is...

y = 5x+1

y = 5*x+1

y = 5*2+1

y = 10+1

y = 11

Thus, the values of x and y of the parallelogram PQRS are x = 2 and y = 11

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The statement ''A frequency polygon is a very useful graphic technique when comparing two or more distributions'' is true because a frequency polygon is a very useful graphic technique for comparing two or more distributions.

A frequency polygon is a line graph that shows the distribution of a dataset.

It is created by plotting the frequency of each data value or interval on the y-axis and the corresponding values or intervals on the x-axis, and then connecting the points with line segments.

By using frequency polygons, it becomes easy to compare the shapes and spread of two or more distributions. We can overlay different frequency polygons on the same graph and compare them.

This helps to identify similarities and differences between the data sets.

For instance, frequency polygons can help identify which data set has a higher mean or median, and which distribution has a greater variance.

In summary, frequency polygons are a useful visual tool for comparing distributions and identifying patterns in data.

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From 9:00 a.m. to 9:27 a.m., the temperature changed from 54°F to -4°F, a change of 58°F. This change took 27 minutes.

The temperature change per minute was 58°F / 27 minutes = 2.15°F per minute.

Answer:

16

Step-by-step explanation:

Any number to the power of 0 is 1

1/4^-2 -> 4^2 -> 16

Answer: 16

Step-by-step explanation:

-2^0 = 1

y^-2 => 1/y^2 => 1/4^2 = 1/16

1/ (1/16)

1 x 16/1 = 16

The ratio of the speeds, vb/va, is approximately 0.0025.

The ratio of the speeds, vb/va, can be found using the equation for the flow rate of a fluid through a pipe, which is given by Q = Av, where Q is the flow rate, A is the cross-sectional area of the pipe, and v is the velocity of the fluid.

Since the diameters of the two pipes are different, their cross-sectional areas will also be different. The cross-sectional area of a pipe is given by the equation A = (π/4)d^2, where d is the diameter of the pipe. Therefore, the cross-sectional areas of the two pipes are:

A1 = (π/4)(0.4 cm)^2 = 0.1257 cm^2
A2 = (π/4)(8 cm)^2 = 50.2655 cm^2

Now, we can find the velocities of the fluid in each pipe by rearranging the equation for flow rate:

v1 = Q/A1
v2 = Q/A2

Since the flow rate of the fluid is constant (i.e. the same in both pipes), we can equate these two velocities to find the ratio of the speeds:

vb/va = v2/v1 = (Q/A2)/(Q/A1) = A1/A2 = 0.0025

Therefore, the ratio of the speeds, vb/va, is approximately 0.0025. This means that the fluid will be moving much faster in the smaller pipe than in the larger pipe.

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Answer:C

Step-by-step explanation:

Answer:

ST = 3 units

Step-by-step explanation:

From the number line attached in the picture,

Distance of S from 0 = 7 units

Distance of T from 0 = 4 units

Therefore, distance between S and T = 7 - 4

ST = 3 units

[Note : Length of a segment is always positive so ST can't be negative]

Arithmetic operations consists primarily of operations such as addition, subtraction, multiplication, and division. So the option A is correct.

The process of adding things together is known as addition. The '+' sign represents the addition process. It entails combining two or more numbers into a single expression.

The difference between two numbers is calculated using the subtraction operation. The '-' sign represents subtraction. It is nearly identical to addition, but it is the conjugate of the second term.

Multiplication is also referred to as repeated addition. It is indicated by " or '*'. It can also be combined with two or more values to produce a single value.

Division is the inverse of multiplication and is usually denoted by ". It is made up of two terms, dividend and divisor, and the dividend is divided by the divisor to yield a single term value.

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The angle the rope makes with the ground is approximately 34.85 degrees.

The situation form a right angle triangle.

Therefore, the 35 meters rope attached to the top of tree to the ground is the hypotenuse of the triangle.

The height of the tree is the opposite side of the triangle.

Therefore, using trigonometric ratios we can find the angle the rope make with the ground.

let

∅ = angle the rope make with the ground

sin ∅ = opposite / hypotenuse

sin ∅ = 20 / 35

∅ = sin⁻¹ 0.57142857142

∅ = 34.849904579

∅ = 34.85°

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Answer:

$180 in total!

Step-by-step explanation:

10 + 30 + 30 + 100 + 10 = 180

the uncle and aunt gave their money together, it didn't specify that they each gave 100

Answer:

The total amount of money i have is $180.

Step-by-step explanation:

Given information:

The money i have = $10

Mom gives = $30

Dad gives = $30

Aunt and uncle gives = $100

Now i had another $10

The total amount of money (x) i have is the sum of all money i receive.

x = 10+30+30+100+10

x = 180

Hence , the total amount of money i have is $180.

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Answer:

45kg

Step-by-step explanation:

60.3/4=45

Answer:

{36+7[6-2(10÷)+9(2)]}÷4

Answer:

99

Step-by-step explanation:

divide the numbers

2365 by 24

since the number Goten is a fraction (98 13⁄24)

round off your answer