What is 17,683 rounded to the nearest ten thousand?

The frequency of scores falling into this interval is 11. Therefore, 11 students scored at least 1,800 but less than 2,000.

A frequency distribution is a way to organize and present data by grouping it into intervals or classes and showing how many observations fall into each interval.

In this case, the data given represents the raw scores of thirty students who took the SAT on the same Saturday.

To create a frequency distribution, we can group the data into classes of 1,400 up to 1,600, 1,600 up to 1,800, 1,800 up to 2,000, and so on.

To create this frequency distribution, we can use the Excel data file provided and create a histogram. The histogram will show the frequency of scores falling into each class or interval.

The interval 1,800 up to 2,000 will contain the scores 1,800, 1,810, 1,820, 1,830, 1,840, 1,870, 1,900, 1,910, 1,950, 1,950, 1,980, and 2,000.

To find how many students scored at least 1,800 but less than 2,000, we need to add up the frequencies in this interval.

In conclusion, creating a frequency distribution helps to organize and summarize data. By grouping the data into intervals or classes, we can better understand the distribution of the data and answer questions related to it.

In this case, we were able to determine how many students scored at least 1,800 but less than 2,000 by using the frequency distribution created.

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Answer:

The answer is B. 5-x.

Answer:

C.

Step-by-step explanation:

expressions do not contain an equals sign

The measure of arc BC in circle E, inscribed in triangle BCD with angle DBC measuring 51 degrees, is 102°.

In a circle, an inscribed angle is equal to half the measure of its intercepted arc. Since BD is a diameter, angle DBC is a right angle, and the intercepted arc BC is a semicircle. Therefore, the measure of arc BC is 180°.

However, we are given that angle DBC measures 51 degrees. In an inscribed triangle, the measure of an angle is equal to half the measure of its intercepted arc. So, angle DBC is half the measure of arc BC, which means arc BC measures 2 times angle DBC, or 2 * 51° = 102°.

Hence, the measure of arc BC is 102°.

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Inscribed circle E is formed by triangle BCD, with BD as the diameter. DC and CB are secants, and angle DBC is 51 degrees. We need to find the measure of arc BC.

When a triangle is inscribed in a circle, the measure of an angle formed by two secants that intersect on the circle is half the measure of the intercepted arc.

In this case, angle DBC is 51 degrees, which means the intercepted arc BC has twice that measure. Therefore, the measure of arc BC is 2×51=102 degrees.

To understand why this relationship holds, we can use the Inscribed Angle Theorem. According to this theorem, an angle formed by two chords or secants that intersect on a circle is equal in measure to half the measure of the intercepted arc.

In our scenario, angle DBC is formed by secants DC and CB, and it intersects the circle at arc BC. According to the Inscribed Angle Theorem, angle DBC is equal to half the measure of arc BC.

Hence, if angle DBC is 51 degrees, the measure of arc BC is twice that, which gives us 102 degrees.

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For the given absolute value equations and inequalities the following have solution set which is not empty set.

a.  |2x-51|-3 = -2 has solution set x = 25 or 26.

b  |5x-1| +8 < 6 has empty set.

c.  3|x-4|+5 < 4 has empty set.

d.  2|x + 7| +3 = 2 has solution set x = -15/2 or -13/2.

As given in the question,

Solution set of the absolute value equations and the inequalities are as follow:

a.  |2x-51|-3 = -2

⇒  |2x-51| = -2+3

⇒ |2x-51| = 1

⇒ 2x -51 = 1 or 2x -51 = -1

⇒ 2x = 52 or 2x = 50

⇒ x= 26 or 25

Solution set is x = 25 or 26.

b. |5x-1| +8 < 6

⇒|5x-1|  < -2

⇒5x -1 < -2 or 5x -1 > 2

⇒ x< -1/5 or x > 3/5

Empty set.

c.  3|x-4|+5 < 4

⇒3|x-4|  < -1

⇒x -4 < -1/3 or x -4 > 1/3

⇒ x< -11/3 or x > 13/3

Empty set.

d. 2|x + 7| +3 = 2

⇒2|x + 7|  = -1

⇒|x + 7|  = -1/2

⇒ (x+7) = -1/2 or (x+7) = 1/2

⇒x= -15/2 or -13/2

Solution set is x= -15/2 or -13/2.

Therefore, For the given absolute value equations and inequalities the following have solution set which is not empty set.

a.  |2x-51|-3 = -2 has solution set x = 25 or 26.

b  |5x-1| +8 < 6 has empty set.

c.  3|x-4|+5 < 4 has empty set.

d.  2|x + 7| +3 = 2 has solution set x = -15/2 or -13/2.

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Answer:

x < -11 or x ∈ (-∞, -11)

Step-by-step explanation:

4x + 6 < 3x - 5

<=> 4x - 3x < -5 - 6

<=> x < -11

Answer:

x+1 ???

Step-by-step explanation:

4x+6<3x-5

4x-3x=x

6-5=1

x+1

can't remember if I did it right

#9) 180 - 116 = 64

(3x -13) + ( 2x +4 ) + 64 = 180

5x - 9 + 64 = 180

5x = 180 + 9 - 64

5x = 125

x = 25

#10) 3x - 13

= (3× 25) - 13 = 62

m< A = 62°

You can infer that the exponential model is a better fit for the data in the experiment, as it has smaller residuals than the quadratic model.

Residuals are the difference between the actual data points and the predicted values generated by the model. They are a measure of how well a model fits the data, and a lower residual indicates a better fit. Therefore, if the student's exponential model has smaller residuals than their quadratic model, it can be concluded that the exponential model is a better fit for the experiment data.

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Answer:

Step-by-step explanation:

(-1 + 5)/(4 + 2) = 4/6= 2/3

y + 5 = 2/3(x + 2)

y + 5 = 2/3x + 4/3

y + 15/3 = 2/3x + 4/3

y = 2/3x - 11/3

Answer:

13 more cups of trail mix or 13 1/4 cups

Step-by-step explanation:

1 1/2 (nuts) + 1/4(raisins) + 1/4(pretzels)=2 cups of trail mix

15-2=13

Using the Cramer's Rule, the solution of the given system of equation is (-17/11, 48/11)

The given system of equations are

10x+4y=2

-6x+2y=18

Solving the equations by using Cramer's rule.

We know that, the solution of a system of linear equations in two unknowns

a(1)x+b(1)y = c(1)

a(2)x+b(2)y = c(2)

is given by ∆x=∆1, and ∆y=∆2.

where,

\(\Delta=\text{det}\left [ \begin{matrix} a(1)&b(1) \\ a(2) & b(2)\end{matrix} \right ], \Delta(1)=\text{det}\left [ \begin{matrix} c(1)&b(1) \\ c(2) & b(2)\end{matrix} \right ]\text{ and }\Delta(2)=\text{det}\left [ \begin{matrix} a(1)&c(1) \\ a(2) & c(2)\end{matrix} \right ]\)

Since the given equations are;

10x+4y=2

-6x+2y=18

Now,

\(\Delta=\text{det}\left [ \begin{matrix} 10&4 \\ -6 & 2\end{matrix} \right ]\)

∆ = [(10×2)-(-6×4)]

∆ = 20+24

∆ = 44

\(\Delta(1)=\text{det}\left [ \begin{matrix} 2&4 \\ 18 & 2\end{matrix} \right ]\)

∆(1) = [(2×2)-(18×4)]

∆(1) = 4-72

∆(1) = -68

\(\Delta(2)=\text{det}\left [ \begin{matrix} 10&2 \\ -6 & 18\end{matrix} \right ]\)

∆(2) = [(10×18)-(-6×2)]

∆(2) = 180+12

∆(2) = 192

By Cramer's Rule,

∆x = ∆(1)

44 × x = -68

x = -68/44

x = -17/11

Now,

∆y = ∆(2)

44 × y = 192

y = 192/44

y = 48/11

Hence, the solution of the given system of equation is (-17/11, 48/11).

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The right question is:

Solve the system if possible by using Cramer's rule. If Cramer's rule does not apply, solve the system by using another method. Write all numbers as integers or simplified fractions.

10x+4y=2

-6x+2y=18

Answer:

B

Step-by-step explanation:

The percentage of fraudulent responses (class 1 response rate) when the model is applied to the data set generated by oversampling depends on the specific circumstances and cannot be determined without evaluating the model's predictions on the oversampled data set.

The percentage of fraudulent responses (class 1 response rate) when the model is applied to the data set generated by oversampling cannot be determined without specific information about the data set, the model, and the results of applying the model.

Oversampling is a technique used to address class imbalance in a dataset, where the minority class (in this case, fraudulent responses) is underrepresented compared to the majority class. By generating additional samples of the minority class, the data set becomes more balanced.

The actual class 1 response rate after applying the model to the oversampled data set will depend on various factors, such as the performance of the model, the quality of the oversampling technique, the characteristics of the data, and the prevalence of fraudulent responses in the original data set.

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The answer is 16.7 %.

The necessary calculation is below:

observations  Systolic(x)  Diastolic(y)  x^2      y^2

        1          120               79    14400 6241

         2          130               74    16900 5476

         3          157               75    24649 5625

         4          96               50     9216 2500

         5          156                89    24336 7921

         6         124               87    15376 7569

         7          116               59    13456 3481

         8          137               66    18769 4356

         9          124               71    15376 5041

        10          118               81     13924 6561

       sum         1278      731   166402 54771

For Systolic (x)

mean= sum(x)/10 = 1278/10 = 127.8

stdev= s =sqrt( (sum(x^2 - 10*127.8^2)/9) = sqrt ( (166402 - 10*127.8^2)/9) =18.48

So coefficient of variation ( systolic)  is = (stdev/mean )*100 = (18.48/127.8)*100 = 14.5 %

For Diastolic (x)

mean= sum(y)/10 = 731/10 = 73.1

stdev= s =sqrt( \((sum(x^2 - 10*73.1^2)/9) = sqrt ( (54771 - 10*73.1^2)/9)\)= 12.18

so coefficient of variation ( systolic)  is = (stdev/mean )*100 = (12.18/73.1)*100 = 16.7 %

Here, systolic is less varied than the diastolic.

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Answer:

division is right.

Step-by-step explanation:

The last step in evaluating the problem  \(5 . 2 3 \ \div \ (4 + 6)\)  will be Division.

Evaluating means to calculate the value of given problem.

BODMAS means Bracket off, Order, Division, Multiplication, Addition, Subtraction. i.e. if an expression contains brackets ((), {}, []) we have first to solve or simplify the bracket followed by 'order' (that means powers and roots, etc.), then division, multiplication, addition and subtraction from left to right.

Here, to evaluate the problem we will use the BODMAS Rule.

We have,

\(5 . 2 3 \ \div \ (4 + 6)\)  

\(5.23 \ \div \ 10 \\)

\(0.523\)

So, in the last step we use division, which was according to the BODMAS Rule.

Hence, we can say that the last step in evaluating the problem  \(5 . 2 3 \ \div \ (4 + 6)\)  will be Division.

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Answer:

The ends of the field are at the zeros (x-intercept) of the function.

0 = -0.000234(x - 80)2 + 1.5      subtract 1.5 from both sides

-1.5 = -0.000234(x - 80)2           divide both sides by right coefficient

6410.25641 = (x - 80)2              take square root of both sides

80.064 = x - 80                         add 8-0 to both sides

160.064 = x

The field is 160.064 feet wide.  

The maximum is at the vertex, y = 1.5 feet

Step-by-step explanation:

The resting cell membrane maintains a slight negative charge inside relative to the outside, creating an electrical disequilibrium. The correct answer is A.

The resting cell membrane maintains a slight negative charge inside relative to the outside, creating an electrical disequilibrium. This phenomenon is crucial for various cellular functions and is achieved through the selective movement of ions across the cell membrane. By actively pumping out positively charged ions like sodium (\(Na^+\)) and taking in negatively charged ions like potassium (\(K^+\)), the cell establishes an electrical potential difference.

This electrical disequilibrium plays a fundamental role in cellular activities such as nerve transmission and muscle contraction. It enables the rapid transmission of electrical signals along nerve cells and facilitates the coordinated contraction of muscle fibers.

The maintenance of this electrical disequilibrium is an example of the cell's remarkable ability to regulate its internal environment, a process known as homeostasis. By actively controlling ion movements, the cell ensures a balance between the intracellular and extracellular environments, allowing for optimal cellular functioning.

Therefore, the slight negative charge inside a resting cell relative to the outside exemplifies electrical disequilibrium and serves as a vital component of cellular homeostasis and proper functioning.

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Note: The question would be as

The inside of a resting cell is slightly negative relative to the outside. This is an example of

a. electrical disequilibrium

b. O failed homeostasis

c. osmotic equilibrium

d. chemical disequilibrium

Answer:

a(t) = 5i + 8j v(t0 = integration of a(t) v

Step-by-step explanation:

Therefore , the solution of the given problem of unitary method comes out to be Amy creates the sand masterpiece by using 8 cups of sand.

To complete the assignment, use the tried-and-true straightforward methodology, the real variables, and any pertinent details from the preliminary and specialised questions. In response, customers might be given another opportunity to range sample the products. In the absence of such changes, major advances in our knowledge of programmes will be lost.

Here,

If Amy fills 16 bottles with 1/2 cup of each colour of sand, the total amount of sand she uses may be calculated by multiplying the total number of bottles by the amount of sand in each container.

The total quantity of sand utilised is thus:

=> 16 x 1/2 = 8 cups

Amy creates the sand masterpiece by using 8 cups of sand.

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Step-by-step explanation:

To find probability ratio wise

Sports Cars: Total Cars

3 + 3 + 2 = 8 total cars

2 sports cars

Ratio is 2:8

Reduces to 1:4

The probability embarked upon by Joselyn involving the roll of a die for a large number of trials would illustrate an experiment that illustrates the law of large numbers.

The law of large numbers simply describes the repeated performance of an experiment for a large number of trials. The law states that, as the number of experimental trials is increased, the expected value of the experiment is approached.

In Joselyn's experiment, the expected value of obtaining a 5 is 1 ÷ 6 = 0.166. Hence, as the number of trials increases, the probability of having 5 continually approaches 1 ÷ 6 = 0.166.

Hence, the experiment illustrates the law of large numbers.

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The question is -

Joslyn performed an experiment using a die with its faces numbered from 1 to 6. She rolled the die and recorded whether the 5 landed face up. She repeated the process many times and kept a cumulative record of the total number of rolls and the total number of Ss landing face up. The following table shows part of her record.

Suppose Joslyn could roll the die 10.000 times and keep a record of the total number of Ss landing face up in the 10,000 rolls What would such a record Illustrate?

To calculate the area of the shape made up of three similar right-angled triangles, we need additional information about the scale factor or proportions of the triangles. Without that information, we cannot determine the exact area of the shape.

The given information states that the shape is composed of three similar right-angled triangles, and the smallest triangle has two sides of side-length 2. While we know the dimensions of the smallest triangle, we do not have any information about the scale factor or proportions of the other two triangles. Since the shape is formed by three similar triangles, the areas of the triangles would be proportional, but we cannot determine the exact proportions without additional information. Consequently, we cannot calculate the area of the shape accurately based solely on the given information.

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First, you need to understand the vocabulary.
Saying x less than y means that you are subtracting from y. Your x here is 0.04, and your y is 1.38

y-x = 1.38-0.04 = 1.34

The correct answer is (d) No, it is not continuous because lim x→3 f(x) ≠ lim x→3 f(x).

To determine if the function f(x) = (x+3)/(x²-9) is continuous at x=3, we need to check if the limit of the function exists as x approaches 3 from both the left and the right, and whether this limit is equal to the value of the function at x=3.

First, we can check the limit as x approaches 3 from the left:

lim x→3- f(x) = lim x→3- (x+3)/(x²-9) = (-3)/(0-) = ∞

Next, we can check the limit as x approaches 3 from the right:

lim x→3+ f(x) = lim x→3+ (x+3)/(x²-9) = (6)/(0+) = ∞

Since both one-sided limits are infinite, the limit as x approaches 3 does not exist.

Therefore, the function f(x) = (x+3)/(x²-9) is not continuous at x=3.

The correct answer is (d) No, it is not continuous because lim x→3 f(x) ≠ lim x→3 f(x).

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The inequalities that can represent this situation if m is the number of songs he can buy are:

The above given  inequality accounts for the cost of each song ($1.50) plus the $1.00 activation fee, and it need to be less than or equal to the total amount of $25 on the gift card.

So: 1.5m ≤ 25

Note that this inequality stands for the cost of each song ($1.50) multiplied by the number of songs (m), and it has to  be less than or equal to the total amount of $25 on the gift card.

Hence the options given below are correct.:

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The x-coordinate of point I of line segment IJ is 1.

Suppose we've two endpoints of a line segment as:

A(p,q), and B(m,n)

Then let the midpoint be M(x,y) on that line segment. Then, its coordinates are:

\(x = \dfrac{p+m}{2}\)

and

\(y = \dfrac{q+n}{2}\)

We are given that;

Endpoint of point j= (8,6)

Midpoint =(1,0)

Now,

Let the coordinates of endpoint I be (x,y). Then, we can use the midpoint formula to set up two equations:

H = ((x+8)/2, (y+6)/2) = (1,0) (the midpoint of JI is H at (1,0))

J = (8,6)

From the first equation, we get:

(x+8)/2 = 1 --> x+8 = 2 --> x = -6

From the second equation, we get:

(x-8, y-6) = (1-8, 0-6) = (-7, -6)

Equating the x-coordinates, we get:

x-8 = -7 --> x = 1

Therefore, by the given midpoint the answer will be 1.

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The probability that Sid takes one counter of each color is 0.5.

To find the probability that Sid takes one counter of each color, we need to know the total number of possible outcomes when Sid takes two counters from the bag. Since the order in which Sid takes the counters does not matter, there are two cases to consider:

Sid takes a green counter first and a blue counter second. There are 8 green counters and 3 blue counters, so there are a total of 8 * 3 = <<8*3=24>>24 outcomes in this case.

Sid takes a blue counter first and a green counter second. There are 3 blue counters and 8 green counters, so there are a total of 3 * 8 = <<3*8=24>>24 outcomes in this case.

In total, there are 24 + 24 = <<24+24=48>>48 outcomes when Sid takes two counters from the bag.

To find the probability that Sid takes one counter of each color, we divide the number of successful outcomes (24 in each case) by the total number of outcomes (48). This gives us a probability of 24/48 = 1/2 = 0.5.

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To find a polynomial function with integer coefficients that has the given zeros, we can use the factor theorem and the zero-product property. Therefore, the function is f(x) = (x + 2)(x - 1)(x - 3) = x^3 - 2x^2 - 5x + 6 .

In summary, to find a polynomial function with integer coefficients that has the given zeros, we can use the factor theorem and the zero-product property to obtain the factors of the polynomial, and then multiply them together to get the polynomial function.

For example, suppose we want to find a polynomial function with integer coefficients that has zeros at -2, 1, and 3. We can start by using the factor theorem to obtain the factors of the polynomial:

(x + 2)(x - 1)(x - 3)

We can then multiply these factors together to obtain the polynomial function:

f(x) = (x + 2)(x - 1)(x - 3) = x^3 - 2x^2 - 5x + 6

This is a polynomial function with integer coefficients that has zeros at -2, 1, and 3. Note that we can also check this by using the zero-product property, which states that if a product of factors is equal to zero, then at least one of the factors must be zero. We can plug in each of the zeros (-2, 1, and 3) into the polynomial function and verify that the result is zero, which confirms that these are indeed the zeros of the polynomial.

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Answer:

First blank_ 7x + 21

Second Blank_  21 + 7x

Step-by-step explanation:

hope that helps :)