us the data set to choose the two measures that are equivlent 4, 5, 6, 7, 8

Answers

Answer 1

The mean and median of the data are equivalent and the value is 6.

The mean (average) of a data set can be calculated by adding up all the numbers in the collection and dividing by the total number of values in the set.

When a data set is sorted from least to greatest, the median is the middle. The value that pops up most frequently in a data set is its mode.Between the lowest and highest value is the range. You subtract the lowest value from the greatest value to calculate it.The exact midpoint between the lowest and highest values in a set of data is the midway value. Finding the middle requires adding the smallest and greatest values together, then dividing the result by two.

Let us find the mean of the data set :

mean =  (4 + 5 + 6 + 7 + 8) ÷ 5 = 30÷ 5 = 6

Median = 6 middle value.

Therefore the mean and median are equivalent.

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Related Questions

?:12 =7:14 what is the answer

Answers

Answer:

I believe the answer is 6:12. . .

Step-by-step explanation:

I think that 7:14 equals 1:2 in its simplest form. 6:12 also is equivalent to 1:2. 1:2 = 1:2.

given the following data and a 4-period weighted moving average. t at 1 13 2 20 3 14 4 17 5 19 supposed the weights of the four periods are 4, 5, 8, 11 for the oldest to newest periods, respectively. compute the 4-period weighted moving average in period 5. group of answer choices

Answers

6.06 is compute the 4-period weighted moving average in period 5.

What is average in ?

In mathematics, the middle value—which is determined by dividing the sum of all the values by the total number of values—is the average value in a set of numbers. To calculate the average of a set of data, add up all the values and divide the result by the total number of values.

Identify number to average that is 19,17,14,13 over four day period.

Assigning weights to each number.

= 4 * 19 + 5 * 17 + 8 * 14 + 11 * 13

= 416

The sum of period is 19 + 17+ 14 + 13 = 63

  So , 416/63   = 6.06

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Hooke's Law for an elastic spring states that the distance a spring stretches varies directly as the force applied. If a force of 180 newtons stretches a spring 5 cm, how much will a force of 270 newtons stretch the same spring?

Answers

7.5cm distance a spring when a force of 270 newtons stretch the same spring.

What is force?

A force is an influence that has the power to alter an object's motion. An object with mass can change its velocity, or accelerate, as a result of a force. An obvious way to describe force is as a push or a pull. A force is a vector quantity since it has both magnitude and direction.

Given Data

A force of 180 newtons stretches a spring 5 cm

If we consider F to be the force and x to be the extension, then:

F = kx

F = 180

x = 5

Equating

180 = 5k

k = 36

F = 36x

Force of 270:

270 = 36x

x= 7.5

7.5cm distance a spring when a force of 270 newtons stretch the same spring.

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For every 3 lemons Chrissy buys at a farm stand,
the total cost increases by $1.80.
The constant of proportionality is ?
An equation that relates the total cost, y, and the
number of lemons, x, is y = ? x.
Use the equation you wrote to complete the table.


Table:

Numbers of lemons(x) | Total cost(y)
4 | _?__
_?__ | $4.20
_?__ | $9.00
18 | _?__

Answers

Answer:

The constant of proportionality is $1.80

y = 1.80x

Step-by-step explanation:

The constant of proportionality is $1.80

An equation that relates the total cost, y, and the number of lemons, x, is

y = 1.80x

where,

y =Total cost

x = number of lemon

When x = 4

y = 1.80x

y = 1.80(4)

y = 7.2

y = $7.2

When y = $4.20

y = 1.80x

4.20 = 1.80x

x = 4.20 / 1.80

x = 2 1/3

x = 2 1/3

When y = $9.00

y = 1.80x

9.00 = 1.80x

x = 9.00 / 1.80

x = 5

x = 5

When x = 18

y = 1.80x

y = 1.80 × 18

y = 32.4

y = $32.4

assume that the traffic to the web site of smiley’s people, inc., which sells customized t-shirts, follows a normal distribution, with a mean of 4.56 million visitors per day and a standard deviation of 720,000 visitors per day. (a) what is the probability that the web site has fewer than 5 million visitors in a single day? if needed, round your answer to four decimal digits

Answers

The probability that the web site has fewer than 5 million visitors in a single day is 0.7293.

For a normally distributed set of data, given the mean and standard deviation, the probability can be determined by solving the z-score and using the z-table.

First, solve for the z-score using the formula below.

z-score = (x – μ) / σ

where x = individual data value = 5 million

μ = mean = 4.56 million

σ = standard deviation = 720,000

z-score = (5 million - 4.56 million) / 720,000

z-score = 440,000 / 720,000

z-score = 0.6111

Find the probability that corresponds to the z-score in the z-table. (see attached images)

z-score =  0.6111

Using interpolation of values,

probability = 0.7293

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Use the equation below to find p, if a=16,b=9, and c=13

Answers

The value of p when a = 16, b = 9 and c = 13 is 38

What is an equation?

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

Equations are classified based on degree (value of highest exponents) as linear, quadratic, cubic and so on. Variables can be dependent or independent. Dependent variables depend on other variable while an independent variable do not depend.

Given that:

p = a + b + c

Substituting the values of a, b and c:

p = 16 + 9 + 13

p = 38

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for a certain company, a train coming from new york to washington dc takes 3 hours to travel 228 miles. a new train company is able to complete the same journey in only 2.5 hours. how much faster is the new company’s train in terms of miles per hour?

A.) 7.5
B.) 11.7
C.) 15.2
D.) 17.3
E.) 21.4

Answers

Answer:

The new company’s train is C. 15.2 miles faster.

Step-by-step explanation:


Train A: 228/3 = 76 miles per hour


Train B: 228/2.5 = 91.2 miles per hour


91.2 - 76 = 15.2

the answer is C: 15.2 :))

PLEASE HELP ASAP!!!!!!!!
(03.03 MC)
The table represents a continuous exponential function f(x). XE 2 3 4 5 f(x) 9 3 1 Graph f(x) and identify the y-intercept.
A.9
B.15
C.36
D.3
E.81 ​

Answers

Answer: B. (15)

Y= -[tex]\frac{3}{1}[/tex]x + 15

Step-by-step explanation:

In the Table we see a f(x) decreasing by 3 for every 1 (x)

So we Have a Slope of -3(y) over 1(x)

Please help me with this please

Answers

Answer:

Shark 4

Step-by-step explanation:

It has the lowest value

Find irrational number, which is more than 0,6(3) and less than 0,64.

Answers

An irrational number that lies between the two given ones, 0.6333.... and 0.64 is:

√7 - 2.01 =0.63575...

How to find an irrational number between the two given ones?

Remember that an irrational number is a number that can't be written as the quotient between two integers.

Here we want to find two numbers between 0.6333 (where the 3 repeats infinitely) and 0.64

So we cold try to find a number like:

6.3349412490184...

Such that there is no pattern (because if there were a pattern, it would not be an irrational number).

An example of this can be, for example:

√7 = 2.64575...

This is an irrational number.

Now, if we subtract 2.01 from that we will get:

√7 - 2.01 = 2.64575... - 2.01 = 0.63575...

This is an irrational number and lies between the two given ones, then we conclude that √7 - 2.01 =0.63575... is a correct option.

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c(4+3c)-0.75(c+3)
PLEASE EXPLAIN NEED TO SHOW MY WORK ALREADY GOT IT RIGHT JUST NEED TO SHOW MY WORK

Answers

Answer:

3.25c + 3c^2 - 2.25.

Step-by-step explanation:

c(4+3c) - 0.75(c+3)

Distribute “c” through the parentheses

4c + 3c^2 - 0.75(c+3)

Distribute “-0.75” through the parentheses

4c + 3c^2 - 0.75c - 2.25

Collect like terms and your answer is

3.25c + 3c^2 - 2.25.

Use the equation below to find a, if b=3 and h=4

A= bh

PLS HELP :(

Answers

if you rewrite it it’s A=3•4 so the answer is A=12

Automated manufacturing operations are quite precise but still vary, often with distribution that are close to Normal. The width in inches of slots cut by a milling machine follows approximately the N(0.97,0.001)
N(0.97,0.001) distribution. The specifications allow slot widths between 0.9698
0.9698 and 0.9702
What proportion of slots meet these specifications?

Answers

The proportion of slots who meet these specifications is 15.86%.

We are given that the width in inches of slots cut by a milling machine follows approximately the N(0.97,0.001) distribution.

Also, the specifications allow slot widths between 0.9698 and 0.9702

Let X = width in inches of slots cut by a milling machine

The z-score probability distribution for normal distribution is given by;

Z =  (X - μ) /σ  ~ N(0,1)

where, μ = population mean width = 0.97

           σ  = standard deviation = 0.001

The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X.

Now, Probability that the specifications allow slot widths between 0.9698 and 0.9702 is given by = P(0.9698 < X < 0.9702)

=  P(0.9698 < X < 0.9702)  = P(X < 0.9702) - P(X  0.9698)

P(X < 0.9702) = P  [(X - μ) /σ < [tex]\frac{0.9702 - 0.97}{0.001}[/tex]] = P (Z < 0.2) =

P(X ≤0.9698) = P [(X - μ) /σ ≤  [tex]\frac{0.9698 - 0.97}{0.001}[/tex] ] = P (Z ≤ -0.2) = 1-  P(Z < 0.2)

                                                                                  = 1 - 5793 = 0.4207

So, in the z table the P(Z  x) or P(Z < x) is given. So, the above probability is calculated by looking at the value of x = 0.2 in the z table which has an area of 0.5793.

Therefore,  P(0.9698 < X < 0.9702) = 0.5793 - 0.4207 = 0.1586

Hence, the proportion of slots who meet these specifications is 15.86%.

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Dad is getting food ready for my birthday party! Including me, there will be 18 people at the party. Dad is baking cookies for us! He can bake 24 cookies per batch. How many batches should should I tell dad to make so we can have 4 cookies?

Answers

Assuming all 18 members want 4 cookies each, the total amount of cookies needed is 18 x 4, or 72.
Dividing 72 total cookies by 24 cookies per batch will yield the total amount of batches needed to provide everyone with 4 cookies. 72/24 equals 3 exactly. Therefore, 3 batches of 24 cookies is needed to provide everyone with 4 cookies each.

Okay so we have 18 ppl we want 4 cookies per person

in one batch we can make 24

first multiple 18 by 4 or vice versa

answer is 72

now divide 72 by 24

answer is 3

we need 3 batches to make 4 cookies per person


How many square feet of outdoor carpet will
we need for this hole?

Answers

36ft^2 square feet of outdoor carpet we will need for this hole.

How to find the square feet of carpet needed?

Big square: Length = 6 ft ; Width = 4 ft

Small square: Length = 6 ft ; Width = 2 ft

Area = L x W

Big square: 6 * 4 = 24 ft^2

Small square: 6 * 2 = 12ft^2

On adding both, we get

Total area = 24 + 12 = 36ft^2

36ft^2 square feet of outdoor carpet we will need for this hole.

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which property is represented below

Answers

Answer : Transitive Property

If that's not correct, try Symmetric or substitution cause I know it's not reflexive

What value of c in the equation cx+4y=12 would give the equation a slope of 8?

Please provide all work and steps you used to find your answer, or the answer is pretty much useless. Thank you!

Answers

The value of c in the equation cx+4y=12 would give the equation a slope of 8 would be 32.

What is the slope of a straight line?

A straight line of the form  y = MX + c has its slope as 'm'

It is constant for a line. The more the slope is, the steeper the line is.

Sign convention takes bottom left to top right going line as positive sloped. And that line which goes from bottom right to top left is taken to have a negative slope. The horizontal line has 0 slopes and the vertical line has an infinite slope, as it is now at maximum steepness.

We have been given the equation cx+4y=12 which has a slope of  8.

Also cx+4y=12

4y = 12 - cx

y = 12/4 - cx/4

y = 3 - cx/4

Then we know that straight line of the form  y = mx + c

By comparing the formula;

y = 3 - cx/4

Slope = c/4 = 8

c/4 = 8

c = 8(4)

c = 32

Therefore, the value of c in the equation cx+4y=12 would give the equation a slope of 8 would be 32.

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Shaniece took a taxi from her house to the airport. The taxi company charged a pick-up fee of $3.40 plus $3.50 per mile. The total fare was $80.40, not including the tip. Write and solve an equation which can be used to determine x, the number of miles in the taxi ride.

Answers

$80.40-$3.40=$77
$77/3.5=22
she went 22 miles
i’m not sure how to write that as an equation tho sorry

solve for x 7 x + 6 / 4 = 2 x − 3 / 5 Give your answer as an improper fraction in its simplest form.

Answers

x = -14/9 is the solution to the equation ( 7x + 6 )/4 = ( 2x − 3 )/5 in a simplified improper fraction form.

What is the value of x in the given equation?

Given the data in the question;

( 7x + 6 )/4 = ( 2x − 3 )/5x = ?

To solve for x, first we cross multiply

( 7x + 6 )/4 = ( 2x − 3 )/5

5( 7x + 6 ) = 4( 2x − 3 )

Remove the parenthesis using distributive property

7x×5 + 6×5 = 2x×4 − 3×4

35x + 30 = 8x - 12

Collect like terms by moving all terms containing x to the left and all constant terms to the right side of the equation.

35x - 8x = -12 - 30

27x = -12 - 30

27x = -42

Divide both sides by 27

27x/27 = -42/27

x = -42/27

x = -14/9

Therefore, the value of x in the given equation ( 7x + 6 )/4 = ( 2x − 3 )/5 is -14/9.

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Answer:

2/3

Step-by-step explanation:

Numbers in front of variables
4a - 8b+ C
What's the coefficient for b in the above expression?
Answer
Submit

Answers

Answer:

- 8

Step-by-step explanation:

the coefficient is the numeric value, including the sign, in front of the variable.

4a - 8b + c

the coefficient of b is - 8

is 3/10 = 15/60 a equivalent ratios?

Answers

Answer: No.

Step-by-step explanation:

3 x 5 = 15,

but 10 x 5 = 50.

In order for the ratios to be equivalent, they would have to be written like this:

3/10 = 15/50

Therefore, it is not equivalent.

Hope this helps!

A bag contains 42 red, 45 green, 20 yellow, and 32 purple candies. You pick one candy at random. Find the probability that it is purple.

Answers

Answer: 32/139

Step-by-step explanation:

42+45+20+32=139

32/139

The cost to rent skis is $30 per hour plus a nonrefundable $25 deposit
A) Write an expression to rent skis for H hours

B)use the expression in part a to find the cost of renting skis for four hours

Answers

Answer:

A) 30 x ? = ? + 25 = ?.

B) 30 x 4 = 120.  120 + 25 = 145.

Answer: The answer is $145 to rent the skis for four hours.

Please help!!!!!!!!!

Answers

Answer:

f(-4) = 19

Step-by-step explanation:

Since -4 < 1, we need to use the bottom part of the function:

[tex]f( - 4) = {( - 4)}^{2} + 3 = 16 + 3 = 19[/tex]

please help me with question 19 please i really need the answer asap!! thanks!!

Answers

Answer:

D) 116

Step-by-step explanation:

Supplementary angles add up to 180°

 ∠CDE + ∠FDE = 180

3x + 10 + 6x + 8 = 180

3x + 6x + 10 + 8 = 180

Combine like terms,

              9x + 18 = 180

Subtract 18 from both sides,

                    9x  = 180 - 18

                    9x = 162

Divide both sides by 9

                     x = 162 ÷ 9

                    [tex]\sf \boxed{\bf x = 18}[/tex]

∠FDE = 6x + 8

         = 6*18 + 8

         = 108 + 8

         = 116°

A triangle is dilated by a factor of 2 and then rotated clockwise. Which statement about the triangle's image and pre-image is correct?​

Answers

The correct statement about the triangle's image and pre-image is 'the image and pre-image are not congruent because one of the transformation is rigid transformation and the other is not.'

The correct answer is an option (1)

In this question, a triangle is dilated by a factor of 2 and then rotated clockwise.

We need to select the correct statement about the triangle's image and pre-image.

We know that rotation is a rigid transformation but dilation is not a rigid transformation.

Dilation does not preserve the size of the image.

Also, the image and pre-image are not congruent as the corresponding sides of triangle's image and pre-image are not equal.

Therefore, the correct statement about the triangle's image and pre-image is 'the image and pre-image are not congruent because one of the transformation is rigid transformation and the other is not.'

The correct answer is an option (1)

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What ratio is equivalent to 7:6

Answers

Answer: 14 : 12

Step-by-step explanation:

Answer: 14:12

Step-by-step explanation: To find the ratio, you would either multiply or divide the two numbers by the same number, and you would get a simplified ratio or an equivalent one. Because 7:6 is simplified, we have to find an equivalent ratio, meaning we multiply. If we multiply 7 by two, we get 14. Multiply 6 by two to get 12. So, the answer is 14:12. Divide both 14 and 12 by two to get back to 7:6.

justina needs to dilate traiangle ABC using a scale factor of 1.5

Answers

Using the rule for a dilation, it is found that:

1. The table with the coordinates is given by the first image.

2. The graph of the dilated triangle is given by the second image.

3. The rule is: (x,y) -> (1.5x, 1.5y).

What is the effect of a dilation of a figure?

When a figure is dilated by an scale factor of a, each vertex of the figure is multiplied by the scale factor of a, hence the rule is given by the following vector:

(x,y) -> (ax, ay).

The coordinates of the vertices of the pre-image are given as follows:

A(-2, -2), B(2,2), C(4, -2).

The dilation has a scale factor of 1.5, hence the rule for the calculation of each vertex of the image, considering the pre-image, is given as follows:

(x,y) -> (1.5x, 1.5y).

Then the vertices of the image will be given as follows:

A'(-3, -3), B'(3,3), C'(6, -3).

Each coordinate of A, B and C was simply multiplied by 1/2, and the triangle with these vertices is given by the second image at the end of the answer.

What is the missing information?

The problem is incomplete, and is given by the first image at the end of the answer.

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amanda wants to send her dresses to the laundry downstairs, and she wants to keep her cleaning within a budget of . the laundry charges for washing one dress and for ironing one. write an inequality to describe the possible number of dresses that amanda can send to be washed and send to be ironed. if amanda has dresses to be washed, what is the maximum number of dresses that she can send to be ironed? dresses (amanda can send to be ironed).

Answers

The maximum number of dresses that Amanda can send to be ironed is 8.

What is defined an inequality?An inequality compares two values to determine whether one is less than, greater than, or merely not equal to the other.a ≤ b shows that a is less than or equal to ba ≥ b shows that a is greater than or equal to b.

For the given question;

Total budget of Amanda = $100.

Price of washing = $8 per dress.

Price of ironing = $5 per dress.

Total number of dress to be washed = 7.

Let x be the number of dress to be send for ironing.

The inequality becomes.

5x + 7×8 ≤ 100

5x + 56 ≤ 100; is the required inequality.

For finding the x, equate the value.

5x + 56 ≤ 100

5x ≤ 44

x ≤ 8.8

But x must be less, then.

x = 8 dress.

Thus, the maximum number of dresses that Amanda can send to be ironed is 8.

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The complete question is-

Amanda wants to send her dresses to the laundry downstairs, and she wants to keep her cleaning within a budget of $100 . the laundry charges  $8 for washing one dress and for ironing one $5. write an inequality to describe the possible number of dresses that amanda can send to be washed and send to be ironed. if amanda has 7 dresses to be washed, what is the maximum number of dresses that she can send to be ironed? dresses (amanda can send to be ironed).

Ed buys a vase for £24 and adds 25% onto price before putting it into his shop window
What price does the price tag say in the window

Answers

Answer:

£30

Step-by-step explanation:

Percentage = Division

24 × 25% or 24 ÷ 4

= 6

6 + 24

= 30

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