Vocabulary
1 central tendency movement in a particular direction

2. extreme values the smallest and largest values in a data set

3. mean the sum of a set of data divided by the number of items in the set

4. median the middle value of a set of data arranged in numerical order

5. mode the most frequently occurring number(s) in a data set

6. range the difference between the largest and smallest data points

Match the terms to their definition.

A. mean

B. range

C. median

D. mode

E. extreme values

F. central tendency

The labeled points are (-2, 1), values into the Point-slope form  y - 1 = -2(x + 2).

The equation of the line in point-slope form, we need to use the slope-intercept form of a line, which is given by:

y - y₁ = m(x - x₁)

Where (x₁, y₁) represents the coordinates of a point on the line, and m is the slope of the line.

In this case, the given slope is -2, and the labeled point is (-2, 1). Substituting these values into the point-slope form, we have:

y - 1 = -2(x - (-2))

Simplifying further:

y - 1 = -2(x + 2)

To know more about Point-slope form.

https://brainly.com/question/6497976

#SPJ11

The distance around the track along its outer edge is 740.4 meters and the area of the track is 2514 meter square.

A racing track consisting of two parallel stretches which are of 119 meters  long and 10 meters wide.

The other two ends are semicircular the inner distance between the two parallel stretches is 70 m.

Radius of Exterior = ( 70 + 10 ) m = 80 m

The circumference formula is given by:

Circumference = 2πr

= 2 (3.14) (80)

= 2 (251.20)

= 502.4

Now we have to calculate the distance around the track

The Distance Around the Track = Circumference + 2 (Length)

= 502.4 + 2 (119)

= 502.4 + 238

= 740.4 meters

The Area of track = The Area of the outer circle - The Area of the inner circle

= π × R square - π × r square

= 6364 - 3850

= 2514 meter square

For more questions on Circumference

https://brainly.com/question/8243258

#SPJ4

Answer:

(x-y)/z

Step-by-step explanation:

An equivalent expression by combining like terms, we need to group the terms with the same variable exponent, add or subtract them as appropriate, and simplify the resulting expression

Combining like terms refers to the process of adding or subtracting variables with the same exponent and any constants present. The method of combining like terms is similar to how you add or subtract similar items. The key is to simplify the expression by making it as short as possible. Here is an example to demonstrate how to write an equivalent expression by combining like terms:

W 10 w - 4

To combine like terms, we first group all the like terms together, that is, the terms with the same variable exponent. Here, we can see that both terms have the variable w, so we can add them together.

However, the first term has a coefficient of 10, which means it has ten times the value of the second term. Therefore, we can rewrite the expression as follows:

W(10w - 4)

We have now combined like terms, but we can further simplify this expression. The term inside the parenthesis can be simplified by factoring out the common factor 2 from the two terms. This results in:

W(2 * 5w - 2)W(2(5w - 1))

The expression is now in its simplest form, and we have written an equivalent expression by combining like terms.

To summarize, to write an equivalent expression by combining like terms, we need to group the terms with the same variable exponent, add or subtract them as appropriate, and simplify the resulting expression as much as possible by factoring out common factors.

For more such questions on expression , Visit:

https://brainly.com/question/1859113

#SPJ11

if 40 makes him 30 mins late and 60 makes him 30 mins early then it only would make since that in between both 40 and 60 is 50 and that would make him go on time

mr. earl e. bird leaves his house for work at exactly 8:00 a.m. every morning

when he averages 40 miles per hour, he arrives at his workplace thirty minutes late.

when he averages 60 miles per hour, he arrives thirty minutes early.

at what average speed, in miles per hour, should mr. bird drive to arrive at his workplace precisely on time?

if 40 makes him 30 mins late and 60 makes him 30 mins early then it only would make since that in between both 40 and 60 is 50 and that would make him go on time

learn more about of time here

https://brainly.com/question/29145579

#SPJ4

the binary representation of 63.25 as 111111.01.

To convert the decimal number 63.25 to binary, we need to convert the integer part (63) and the fractional part (0.25) separately.

1. Converting the integer part (63):

  Divide 63 by 2, and keep track of the remainders:

  63 ÷ 2 = 31 (remainder 1)

  31 ÷ 2 = 15 (remainder 1)

  15 ÷ 2 = 7 (remainder 1)

  7 ÷ 2 = 3 (remainder 1)

  3 ÷ 2 = 1 (remainder 1)

  1 ÷ 2 = 0 (remainder 1)

  The remainders in reverse order give us the binary representation of the integer part: 111111.

2. Converting the fractional part (0.25):

  Multiply 0.25 by 2 and record the whole number part:

  0.25 × 2 = 0.5 (0)

  0.5 × 2 = 1.0 (1)

  The whole number parts give us the binary representation of the fractional part: 01.

Putting the integer and fractional parts together, we have the binary representation of 63.25 as 111111.01.

Learn more about binary representation here

https://brainly.com/question/30871458

#SPJ4

The binary representation of the decimal number 63.25 is 111111.01.

To convert the decimal number 63.25 to binary, we need to separate the whole number part and the fractional part.

Whole Number Part:

Divide the whole number part (63) by 2:

Divide the quotient (31) by 2:

Divide the quotient (15) by 2:

Divide the quotient (7) by 2:

Divide the quotient (3) by 2:

Divide the quotient (1) by 2:

Reading the remainders in reverse order, the binary representation of the whole number part is 111111.

Fractional Part:

To convert the fractional part (0.25) to binary, we multiply the fractional part by 2 and note the whole number part of the result. Repeat this process until the fractional part becomes 0 or until the desired precision is achieved.

Multiply the fractional part (0.25) by 2:

Multiply the fractional part (0.5) by 2:

Since the fractional part becomes 0, we stop the process.

Reading the whole number parts in order, the binary representation of the fractional part is 01.

Combining the binary representation of the whole number part and the fractional part, the binary representation of the decimal number 63.25 is 111111.01.

About binary representation here:

https://brainly.com/question/29220229

#SPJ11

Answer:

V=whl=3.25·2.5·4.5=36.5625 cm

Step-by-step explanation:

Formula: V=whl

Width and base are interchangeable words so all you do is plug the base into (w).

Turn the fractions into decimals and multiply.

3 1/4 = 3.25

2 1/2 = 2.5

4 1/2 = 4.5

3.25*2.5*4.5 = V

V = 36.5625 cm

Linear functions are used to represented straight lines.

The linear function is \(y = -\frac 12x + 1\)

The points on the graph are: (2,0) and (0,1)

Start by calculating the slope (m) using:

\(m = \frac{y_2 -y_1}{x_2 -x_1}\)

Substitute values for x and y

\(m = \frac{1 - 0}{ 0 -2}\)

\(m = \frac{1 }{ -2}\)

Rewrite as:

\(m = -\frac{1 }{2}\)

The equation is then calculated as:

\(y = m(x - x_1) + y_1\)

This gives

\(y = -\frac 12(x -0) + 1\)

\(y = -\frac 12(x) + 1\)

Open bracket

\(y = -\frac 12x + 1\)

Hence, the linear function is \(y = -\frac 12x + 1\)

Read more about linear functions at:

https://brainly.com/question/15602982

The hotel owner needs approximately 2,248 square feet of fabric to make a pool covering for the winter for their regular hexagonal pool with a side-to-side length of 30 feet.

To calculate the area of the pool, we first need to find the apothem (the distance from the center of the hexagon to the midpoint of any side). For a regular hexagon, the apothem is equal to the side length times the square root of 3 divided by 2. So, the apothem of this hexagonal pool is:

apothem = 30 × √3/2 = 25.980762

The area of a regular hexagon is given by the formula:

area = 3 × √3/2 × apothem^2

Substituting the value of the apothem, we get:

area = 3 × √3/2 × 25.980762^2 = 2247.72

Rounding this to the nearest square foot, the hotel owner will need approximately 2,248 square feet of fabric to construct the cover for the pool.

To know more about hexagon pool:

https://brainly.com/question/23568234

#SPJ4

Simplifying the expression gives 6x√3x

Adding and subtracting surds is applicable where the numbers underneath the root symbols also known as radicands are the same.

From the information given, we have:

5x √3x + 2x√3x  - x√3x

We can see than the numbers within the root symbols '3x' are the same for all the three surds.

Note that if the root cases are the same, the numbers cannot be added or substracted.

Now, let's add the values outside the roots

5x √3x + 2x√3x  - x√3x

= 5x + 2x - x

= 7x - x

= 6x

We have;

6x√3x

Thus, simplifying the expression gives 6x√3x

Learn more about surds here:

https://brainly.com/question/840021

#SPJ1

Answer:

21.............................

Answer:

21

Step-by-step explanation:

−2+8−2+17

=6−2+17

=4+17

=21

The standard deviation measures the spread of data points around the mean. It considers all data points, not just the farthest or nearest ones. A higher standard deviation indicates a greater spread.

The standard deviation is a statistical measure that tells us how much the data points in a set vary from the mean. It provides information about the spread or dispersion of the data. To calculate the standard deviation, we take the square root of the variance, which is the average of the squared differences between each data point and the mean.

By considering all data points, the standard deviation provides a comprehensive measure of how spread out the data is. Therefore, the statement "The difference between the mean and the data point farthest from the mean" is incorrect, as the standard deviation does not focus on just one data point.

The statement "The difference between the mean and the data point nearest to the mean" is also incorrect because the standard deviation takes into account the entire data set. The statement "The difference between the mean and the median" is incorrect as well, as the standard deviation is not specifically related to the median.

Hence, the correct answer is "None of the above."

To know more about Mean visit.

https://brainly.com/question/31101410

#SPJ11

Answer:

I = PRT

T = 6

P = 850

I = 1.9% = 0.019

I = (850)(0.019)(6) = 96.90 <==

Step-by-step explanation:

Answer:

Step-by-step explanation:

Area of outer triangle = \(\dfrac{4x*(4x+3)}{2}= 2x*(4x +3)\)

                                    = 2x*4x + 2x*3

                                   = 8x² + 6x

Area of inner triangle= \(\dfrac{2x*(2x+5)}{2}=x*(2x+5)=x*2x+x*5=2x^{2} + 5x\)

Area of aluminium = area of outer triangle - area of inner triangle

                        = 8x² + 6x + 2x² + 5x

                        = 10x² + 11x

Area of 20 aluminum borders = 20*(10x² + 11x)  = 200x² + 220x

b) x = 25 cm

Area of 20 aluminum borders = 200*25² + 220*25

                                                  = 200 * 625 + 220*25

                                                 = 125000  + 5500

                                                  = 130500 cm²

c) Area of inner triangle (Glass) = 5500 cm²

Cost of aluminium = 130500 * 0.06 = $ 7830

Cost of glass = 5500 * 0.03 = $ 165

Cost of making 20 windows =  7830 + 165 = $ 7995

Answer:

if their was a picture of the graph, i could of answered it.

Step-by-step explanation:

Answer: D

Step-by-step explanation: because I said so

Answer:

D: price before tip + tip = total price

Step-by-step explanation:

The price of the meal, say $10 is the before tip price.

The tip of the meal, say $2, is the tip price.

The total price is when the before-tip (meal) price and tip price are added together for a total price or total cost.

The returns when 30 tickets were sold would be $ 70 .

To calculate the total earnings from 30 sold tickets using the formula a ( n ) = 3 n - 20 , we must input n as 30 and assess the outcome .

Therefore, the returns raised when there were 30 tickets sold would be :
= 3 n - 20

= 3 ( 30 ) - 20

= 3 x 30 - 20

= 90 - 20

= 90 - 20

= $ 70

Therefore, with 30 tickets sold, the amount of money raised is $70.

Find out more on tickets sold at https://brainly.com/question/8112999

#SPJ1

Question is:

How much was raised when 30 tickets were sold?

The three angle bisector of a triangle intersect at a single point that point of concurrency of the angle of bisectors is called the incenter.

Given:

the 3 angle bisectors of a triangle intersect.

when three angle bisector of a triangle intersect then that point of concurrency is called incenter.

Incenter:

The incenter of a triangle is the intersection point of all the three interior angle bisectors of the triangle. In other words, it can be defined as the point where the internal angle bisectors of the triangle cross. This point will be equidistant from the sides of a triangle, as the central axis’s junction point is the center point of the triangle’s inscribed circle.

Incenter formula:

= (ax1+bx2+x3 / a+b+c  , ay1+by2+y3 / a+b+c).

Learn more about the triangle here:

https://brainly.com/question/2773823

#SPJ4

A subset of a population used by statisticians to make predictions about a population is called a sample.

a sample is a smaller, representative group selected from the larger population. The sample is used to gather data and make inferences about the entire population. By analyzing the sample, statisticians can make predictions about the characteristics, trends, or behaviors of the population without having to study every individual within it. This method saves time, resources, and effort while still providing accurate results.

A sample is a crucial tool in statistical analysis, allowing statisticians to make informed predictions about a population based on the study of a smaller, representative subset.

To know more about group, visit:

https://brainly.com/question/15560909

#SPJ11

Answer:

d

Step-by-step explanation:

I am not sure but I think it is d

The theoretical probability that at least one of the 32 students has the H1N1 influenza virus is: 28.870%.

To calculate the theoretical probability that at least one of the 32 students has the H1N1 influenza virus, we can use the concept of the complement. The complement of the event "at least one student has the virus" is the event "none of the students have the virus."

The probability that a student does not have the virus is 1 - 0.03 = 0.97 (since 3% have the virus, 97% do not).

The probability that none of the 32 students have the virus can be calculated as the product of the individual probabilities of each student not having the virus. Since each student's status is independent, we can multiply the probabilities together.

P(none of the 32 students have the virus) = (0.97)^(32)

Calculating this probability gives us approximately 0.7113.

Know more about probability here:

https://brainly.com/question/32004014

#SPJ11

The number of zeros of the given Polynomial which are α, β and γ are; A:3

We are given the Polynomial;

x³ - 8x² + 4x - 4 = 0

From online polynomial root calculator, to roots of the Polynomial are;

7.54, 0.23, 0.23.

α = 7.54

β = 0.23

γ = 0.23

Thus, we see that there are three roots of the Polynomial. although the latter 2 are imaginary roots.

Read more about Polynomial Zeros at; https://brainly.com/question/14263896

#SPJ1

Answer:

1) For \(x^2 + y^2 - 4x + 12y - 20 = 0\), the standard form is \((x-2)^2 + (y+6)^2 = 60\\\)

2) For \(x^2 + y^2 + 6x - 8y - 10 = 0\), the standard form is \((x + 3)^2 + (y - 4)^2 = 35\\\)

3) For \(3x^2 + 3y^2 + 12x + 18y - 15 = 0\),  the standard form is \((x + 2)^2 + (y+ 3)^2 = 18\\\)

4) For \(5x^2 + 5y^2 - 10x + 20y - 30 = 0\),  the standard form is \((x - 1)^2 + (y+ 2)^2 = 11\\\)

5) For \(2x^2 + 2y^2 - 24x - 16y - 8 = 0\),  the standard form is \((x - 6)^2 + (y+ 4)^2 = 56\\\)

6) For\(x^2 + y^2 + 2x - 12y - 9 = 0\), the standard form is \((x+1)^2 + (y-6)^2 = 46\\\\\)

Step-by-step explanation:

This can be done using the completing the square method.

The standard equation of a circle is given by \((x - a)^2 + (y-b)^2 = r^2\)

1) For \(x^2 + y^2 - 4x + 12y - 20 = 0\)

\(x^2 - 4x + y^2 + 12y = 20\\x^2 - 4x + 2^2 + y^2 + 12y + 6^2 = 20 + 4 + 36\\(x-2)^2 + (y+6)^2 = 60\\\)

Therefore, for \(x^2 + y^2 - 4x + 12y - 20 = 0\), the standard form is \((x-2)^2 + (y+6)^2 = 60\\\)

2) For \(x^2 + y^2 + 6x - 8y - 10 = 0\)

\(x^2 + 6x + y^2 - 8y = 10\\x^2 + 6x + 3^2 + y^2 - 8y + 4^2 = 10 + 9 + 16\\(x + 3)^2 + (y- 4)^2 = 35\\\)

Therefore, for \(x^2 + y^2 + 6x - 8y - 10 = 0\), the standard form is \((x + 3)^2 + (y - 4)^2 = 35\\\)

3)  For \(3x^2 + 3y^2 + 12x + 18y - 15 = 0\)

Divide through by 3

\(x^2 + y^2 + 4x + 6y = 5\)

\(x^2 + y^2 + 4x + 6y = 5\\x^2 + 4x + 2^2 + y^2 + 6y + 3^2 = 5 + 4 + 9\\(x + 2)^2 + (y+ 3)^2 = 18\\\)

Therefore, for \(3x^2 + 3y^2 + 12x + 18y - 15 = 0\),  the standard form is \((x + 2)^2 + (y+ 3)^2 = 18\\\)

4)  For \(5x^2 + 5y^2 - 10x + 20y - 30 = 0\)

Divide through by 5

\(x^2 + y^2 - 2x + 4y = 6\)

\(x^2 + y^2 -2x + 4y = 6\\x^2 - 2x + 1^2 + y^2 + 4y + 2^2 = 6 + 1 + 4\\(x - 1)^2 + (y+ 2)^2 = 11\\\)

Therefore, for \(5x^2 + 5y^2 - 10x + 20y - 30 = 0\),  the standard form is \((x - 1)^2 + (y+ 2)^2 = 11\\\)

5) For \(2x^2 + 2y^2 - 24x - 16y - 8 = 0\)

Divide through by 2

\(x^2 + y^2 - 12x - 8y = 4\)

\(x^2 + y^2 - 12x - 8y = 4\\x^2 - 12x + 6^2 + y^2 - 8y + 4^2 = 4 + 36 + 16\\(x - 6)^2 + (y+ 4)^2 = 56\\\)

Therefore, for \(2x^2 + 2y^2 - 24x - 16y - 8 = 0\),  the standard form is \((x - 6)^2 + (y+ 4)^2 = 56\\\)

6) For \(x^2 + y^2 + 2x - 12y - 9 = 0\)

\(x^2 + 2x + y^2 - 12y = 9\\x^2 + 2x + 1^2 + y^2 - 12y + 6^2 = 9 + 1 + 36\\(x+1)^2 + (y-6)^2 = 46\\\)

Therefore, for\(x^2 + y^2 + 2x - 12y - 9 = 0\), the standard form is \((x+1)^2 + (y-6)^2 = 46\\\\\)

For Plato / Edmentum

Just to the test and got it right ✅

The Z-score and the standard normal distribution both are used to determine the percentile rank of a customer sending 77 messages per day.

To calculate the percentile rank of a customer who sends 77 messages per day, we can use the Z-score formula. The Z-score measures how many standard deviations a particular value is away from the mean of a distribution. By calculating the Z-score using the given mean, standard deviation, and the value of 77, we can then look up the corresponding percentile in the standard normal distribution table or use statistical software like SALT to find the percentile rank.

Regarding the statement about the percentage of cell phone users who send 77 or fewer texts per day, we can assess its truthfulness by comparing it to the percentile rank obtained from the Z-score calculation. If the percentile rank is 99 or higher, it would mean that 99% or more of cell phone users send 77 or fewer texts per day, making the statement true. However, if the percentile rank is lower than 99, the statement would be false.

In summary, the Z-score and the standard normal distribution are used to determine the percentile rank of a customer sending 77 messages per day and to evaluate the truthfulness of the statement regarding the percentage of cell phone users who send 77 or fewer texts per day.

Learn more about Z-score here:

https://brainly.com/question/31871890

#SPJ11

Step-by-step explanation:

y=(-x^2)+12x-20

=(-(3)^2)+12(3)-20

=(-9)+36-20

=16-9=7

y=7

I hope it helped you

There is sufficient evidence to suggest that Internet users spend less time watching television compared to the typical American population.

1. Distribution: We will assume that the distribution of the sample mean follows a normal distribution due to the Central Limit Theorem.

2. Null Hypothesis (H0): The mean time spent watching television by Internet users is equal to or greater than 154.8 minutes per day.

  Alternative Hypothesis (Ha): The mean time spent watching television by Internet users is less than 154.8 minutes per day.

Here, the significance level (α): In this case, the

Now, The test statistic for a one-sample t-test is given by:

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

In this case, X = 128.7 minutes, μ = 154.8 minutes, s = 46.5 minutes, and n = 50.

Plugging these values into the formula, we get:

t = (128.7 - 154.8) / (46.5 / √(50))

t ≈ -2.052

Now, the p-value for degree of freedom 49 is found to be 0.022.

Since the p-value (0.022) is less than the significance level (0.05), we reject the null hypothesis.

This indicates that there is sufficient evidence to suggest that Internet users spend less time watching television compared to the typical American population.

Learn more about Hypothesis Test here:

https://brainly.com/question/17099835

#SPJ4

5x² + 3x + 6 is the only trinomial from the given expressions

An expression is combination of variables, numbers and operators.

A trinomial is a polynomial with three terms. In the given options, we need to identify the expression that has exactly three terms.

√11x - 7, has two terms: √11x and -7.

It is not a trinomial because it doesn't have three terms.

x - 1, has two terms: x and -1.

It is not a trinomial for the same reason as option OA.

2x + 4, has two terms: 2x and 4.

It is not a trinomial because it doesn't have three terms.

5x² + 3x + 6, has three terms: 5x², 3x, and 6.

It fits the definition of a trinomial because it has three terms.

Therefore, 5x² + 3x + 6, as it is the only expression among the options that is a trinomial.

To learn more on Expressions click:

https://brainly.com/question/14083225

#SPJ7

Answer:

\(\boxed {y = \frac{7}{6}}\)

Step-by-step explanation:

Solve for the value of \(y\):

\(5y + 4( -5 + 3y) = 1 - y\)

-Use Distributive Property:

\(5y + 4( -5 + 3y) = 1 - y\)

\(5y - 20 + 12y = 1 - y\)

-Combine like terms:

\(5y - 20 + 12y = 1 - y\)

\(17y - 20 = 1 - y\)

-Take \(-y\) and add it to \(17y\):

\(17y + y - 20 = 1 - y + y\)

\(18y - 20 = 1\)

-Add \(20\) on both sides:

\(18y - 20 + 20 = 1 + 20\)

\(18y = 21\)

-Divide both sides by \(18\):

\(\frac{18y}{18} = \frac{21}{18}\)

\(\boxed {y = \frac{7}{6}}\)

Therefore, the value of \(y\) is \(\frac{7}{6}\).