Help me ASAP pls! Convert the measurement. Round the nearest hundredth.

Help Me ASAP Pls! Convert The Measurement. Round The Nearest Hundredth.

Answers

Answer 1

Answer: 252

Step-by-step explanation:

Answer 2
i believe the answer is 6.4

Related Questions

Determine whether the equation is exact. If it is exact, find the solution. If it is not, enter NS.
(y/x+9x)dx+(ln(x)−2)dy=0, x>0
Enclose arguments of functions in parentheses. For example, sin(2x).
____________________=c, where c is a constant of integration.

Answers

The given equation is not exact. To determine whether the equation is exact or not, we need to check if the partial derivatives of the coefficients with respect to x and y are equal.

Let's calculate these partial derivatives:

∂(y/x+9x)/∂y = 1/x

∂(ln(x)−2)/∂x = 1/x

The partial derivatives are not equal, which means the equation is not exact. Therefore, we cannot directly find a solution using the method of exact equations.

To proceed further, we can check if the equation is an integrating factor equation by calculating the integrating factor (IF). The integrating factor is given by:

IF = e^∫(∂Q/∂x - ∂P/∂y) dy

Here, P = y/x+9x and Q = ln(x)−2. Calculating the difference of partial derivatives:

∂Q/∂x - ∂P/∂y = 1/x - 1/x = 0

Since the difference is zero, the integrating factor is 1, indicating that no integrating factor is needed.

As a result, since the equation is not exact and no integrating factor is required, we cannot find a solution to the given equation. Hence, the solution is "NS" (No Solution).

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a moth's color is controlled by two alleles, g and g, at a single locus. g (gray) is dominant to g (white). a large population of moths was studied, and the frequency of the g allele in the population over time was documented, as shown in the figure below. in 1980 a random sample of 2,000 pupae was collected and moths were allowed to emerge. assuming that the population was in hardy-weinberg equilibrium for the g locus, what percentage of moths in the natural population was white in 1962 ? responses 2% 2% 4% 4% 8% 8% 20% 20% 64%

Answers

The frequency of a given allele, g, in the population is defined as the ratio of the number of copies of that allele to the total number of copies of all alleles.

The proportion of homozygous dominant (GG), heterozygous (Gg), and homozygous recessive (gg) individuals in a population can be calculated using the following equations:
GG = p2
Gg = 2pq
gg = q2
Where p is the frequency of the G allele, q is the frequency of the g allele, and p + q = 1.Since g is recessive, the frequency of white (gg) moths in the population is q2. The frequency of the g allele can be calculated using the following formula:
p = 1 - q


Given that the population was in Hardy-Weinberg equilibrium for the g locus, we can assume that the allele frequencies remained constant over time.

As a result, we can use the frequency of the g allele in 1980 to estimate its frequency in 1962. Using the frequency of the g allele in 1980 as p, we can use the Hardy-Weinberg equations to determine the frequency of the g allele in 1962:
p = 0.54q = 0.46
Using these frequencies, we can calculate the proportion of white moths in the population in 1962:
q2 = 0.46 x 0.46 = 0.2116 = 21.16%
Therefore, the percentage of moths in the natural population that was white in 1962 was approximately 21.16%.Option E is correct (64%).

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goes with the other question

goes with the other question

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The answer of the question based on percentage is  

Time (minutes) Percentage

  91                              70%

  13                              10%

 130                      100%

What is Algebra?

Algebra is  branch of mathematics that deals with mathematical symbols and rules for manipulating these symbols. It involves use of variables and symbols to represent quantities and use of equations and formulas to solve problems involving these quantities.

To complete the table, we can use the information given in the problem and some basic algebra.

Let's start by finding the total amount of study time, which we can represent with the variable "t". We know that Elizabeth spent 91 minutes, which was 70% of her study time. Using this information, we can write an equation:

0.7t = 91

To solve for t, we can divide both sides of the equation by 0.7:

t = 130

So Elizabeth's total study time was 130 minutes.

Now we can use this information to fill in the table:

Time (minutes) Percentage

91                              70%

13                              10%

130                             100%

To find the time corresponding to a different percentage, we can use proportions.

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What term describes the economy of a country which produces one primary good or service?

A: Diversified
B: Industrialized
C: Single resource
D: Import focused

Answers

It’s C Single resource

The Montréal Centre-Island Football League is holding its championship tournament in the Olympic Stadium, and you have decided to join the organizational team as a volunteer. Lucky you: your first assignment is to help create the playoff schedule! The league consists of 5 teams: the Cartierville Colts, the Eastside Eagles, Griffintown Giants, the Plateau Packers, and the St-Laurent Saints.
In the regular season, every team plays every other team once. The results of the ten regular season games are summarized below: The Colts beat the Packers and the Saints. The Eagles beat the Colts, the Giants, and the Packers. The Giants beat the Colts, the Packers, and the Saints. The Packers beat the Saints. The Saints beat the Eagles.
To make the schedule, the league manager needs you to rank the teams in order of power. Because last year's volunteer made a number of mistakes in planning the tournament, the league manager needs to see all of your work to make sure that it is correct! Produce a listing of the teams in order of power and indicate whether any teams are tied. Be sure to include all details of the process, including: ⟹A diagram of the dominance-directed graph. ⟹The adjacency matrix. ⟹The details of all calculations.

Answers

To create the playoff schedule for the Montréal Centre-Island Football League championship tournament, we need to rank the teams in order of power. To do this, we can analyze the results of the regular season games and create a dominance-directed graph, an adjacency matrix, and perform some calculations.


1. Dominance-Directed Graph:
Let's create a diagram of the dominance-directed graph using the information provided:

```
                     (1) Colts
                   /       |     \
           (2) Eagles   (3) Giants
              /              |
        (5) Saints    (4) Packers
```

2. Adjacency Matrix:
Now, let's create an adjacency matrix based on the dominance-directed graph. This matrix will help us visualize the relationships between the teams:

```
         | Colts | Eagles | Giants | Packers | Saints |
-------------------------------------------------------
Colts     |   0   |   1    |   0    |    1    |   1    |
Eagles    |   0   |   0    |   1    |    1    |   0    |
Giants    |   0   |   0    |   0    |    1    |   1    |
Packers   |   0   |   0    |   0    |    0    |   1    |
Saints    |   0   |   1    |   0    |    0    |   0    |
```

In the adjacency matrix, a "1" indicates that a team has defeated another team, while a "0" indicates no victory.

3. Calculations:
Based on the adjacency matrix, we can calculate the power score for each team. The power score is the sum of each team's victories over other teams.

- Colts: 1 victory (against Packers)
- Eagles: 2 victories (against Colts and Giants)
- Giants: 2 victories (against Colts and Saints)
- Packers: 1 victory (against Saints)
- Saints: 1 victory (against Eagles)

4. Ranking:
Now, let's list the teams in order of power:

1. Eagles (2 victories)
2. Giants (2 victories)
3. Colts (1 victory)
4. Packers (1 victory)
5. Saints (1 victory)

The Eagles and Giants are tied for the first position, as they both have 2 victories. Colts, Packers, and Saints each have 1 victory.

To summarize:
Produce a listing of the teams in order of power and indicate whether any teams are tied. Be sure to include all details of the process, including:
⟹ A diagram of the dominance-directed graph.
⟹ The adjacency matrix.
⟹ The details of all calculations.

Ranking:
1. Eagles (2 victories)
  Giants (2 victories)
3. Colts (1 victory)
  Packers (1 victory)
  Saints (1 victory)

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Here’s a graph of a linear function. Write the equation that describes that function. Express it in slope intercept form.

Heres a graph of a linear function. Write the equation that describes that function. Express it in slope

Answers

Answer:   y = (1/2)x+3

slope = 1/2,  y intercept = 3

==============================================================

Work Shown:

Pick any two points you want on the line.

I'll pick the two points (0,3) which is the y intercept and also the point (2,4).

------

Find the slope of the line through (x1,y1) = (0,3) and (x2,y2) = (2,4)

m = (y2 - y1)/(x2 - x1)

m = (4 - 3)/(2 - 0)

m = 1/2 is the slope

slope = rise/run = 1/2

rise/run = 1/2 means rise = 1 and run = 2.

This means we go up 1 unit each time we move to the right 2 units.

-----

Since the slope is m = 1/2 and the y intercept is b = 3, we can say

y = mx+b

y = (1/2)x+3

this is the same as y = 0.5x+3 since 1/2 = 0.5

Give 5 Examples of Linear Equation in Two Variables​

Answers

Dang bro I got no clue

Answer:

Some examples of linear equations in two variables are: 1.2s + 3t = 5, p + 4q = 7, πu + 5v = 9 and 3 = 2 x – 7y. Note that you can put these equations in the form 1.2s + 3t – 5 = 0, p + 4q – 7 = 0, πu + 5v – 9 = 0 and 2 x – 7y – 3 = 0, respectively.

In a survey, 20 people were asked how much they spent on their child's last birthday gift. The results were roughly bell-shaped with a mean of $44 and standard deviation of $10. Estimate how much a typical parent would spend on their child's birthday gift (use a 99% confidence level). Give your answers to one decimal place. Provide the point estimate and margin or err

Answers

Based on the survey results, a typical parent would spend around $44 on their child's birthday gift, with a margin of error of approximately $2.9 at a 99% confidence level.

To estimate how much a typical parent would spend on their child's birthday gift, we use the sample mean and standard deviation as estimates of the population parameters. The sample mean of $44 serves as the point estimate for the population mean.

To determine the margin of error, we use the standard error, which is the standard deviation divided by the square root of the sample size. In this case, the standard error is approximately $2.5 (standard deviation of $10 divided by the square root of 20). Multiplying the standard error by the critical value corresponding to a 99% confidence level (z-value of 2.58 for a large sample size) gives us the margin of error.

Therefore, the typical amount spent on a child's birthday gift is estimated to be $44, with a margin of error of approximately $2.9. This means that we can be 99% confident that the true mean amount spent by parents falls within the range of $41.1 to $46.9.

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Line L has equation 2x - 3y = 5. Line M passes through the point (2, -10) and is perpendicular to line L. Determine the equation for line M.

Answers

Answer:

Below

Step-by-step explanation:

The line L has the following equation:

● 2x - 3y = 5

Add -2x to both sides

● 2x - 3y -2x = 5 - 2x

● -3y = 5 - 2x

Multiply both sides by -1

● (-1) × -3y = (-1) × (5-2x)

● 3y = 2x - 5

Divide both sides by 3

● 3y/3 = (2x - 5)/3

● y = (2/3)x - 5/3

The line M is perpendicular to L

So the product of their slopes is -1

Let m be the slope of M

● m × (2/3) = -1

● m = -1 × (3/2)

● m = -3/2

So the equation of M is:

● y = (-3/2)x + b

b is the y-intercept

M passes through (2, -10)

Replace by the coordinates of this point

● -10 = (-3/2)×2 + b

● -10 = -3 + b

● b = -10 + 3

● b = -7

The equation of M is

● y = (-3/2)x -7

if you can choose one item from a group of m items and a second item from a group of n items, then the total number of two-item choices is _____

Answers

If you can choose one item from a group of m items and a second item from a group of n items, then the total number of two-item choices is m x n.

The total number of two-item choices that can be made when one item is chosen from a group of m items and a second item is chosen from a group of n items is given by the product of the number of choices for the first item and the number of choices for the second item.

The number of choices for the first item is m since there are m items to choose from in the first group, and the number of choices for the second item is n since there are n items to choose from in the second group.

Therefore, the total number of two-item choices is given by m x n. For example, if there are 4 items in the first group and 5 items in the second group, then the total number of two-item choices is 4 x 5 = 20.

This formula for finding the total number of two-item choices can be extended to larger groups of items as well. For instance, if there are three groups of items with sizes m, n, and p, then the total number of three-item choices is given by m x n x p.

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Find the value of sin T rounded to the nearest hundredth, if necessary.

Find the value of sin T rounded to the nearest hundredth, if necessary.

Answers

Answer:

Step-by-step explanation:

Find the value of sin T rounded to the nearest hundredth, if necessary.

Giving brainliesttttt help pls pls

Giving brainliesttttt help pls pls

Answers

Answer:

option a. 7y + 6 + 5m and option e. 6 + 5m + 7y

Step-by-step explanation:

5y and 2y are like terms

Consider the following scenario describing the residents of Charlestown: The list pairs resident's ages with their zip codes.

Does this scenario represent a function?

Answers

Answer:

Step-by-step explanation:

if x=3 and y=4 what is 4x+8/y+6

if x=3 and y=4 what is 4x+8/y+6

Answers

Answer:

The answer is 2

Step-by-step explanation:

If you plug in 3 for X and 4 for Y    you get 4(3) + 8 / (4) + 6 which gives you

12+ 8/ 4+ 6 simplify and you get 20/10 divide and your left with 2

A six-sided fair die and an eight-sided fair die are rolled together. What is the probability of getting numbers whose sum is a multiple of 3? A 1/18 B 1/4 C 1/3 D 4/9 E 2/3​

Answers

Answer:

C 1/3

Step-by-step explanation:

The numbers on a 6-sides die are 1, 2, 3, 4, 5, 6.

The number of an 8-sided die are 1, 2, 3, 4, 5, 6, 7, 8.

All the possible sums are:

2, 3, 4, 5, 6, 7, 8, 9,

3, 4, 5, 6, 7, 8, 9, 10,

4, 5, 6, 7, 8, 9, 10, 11,

5, 6, 7, 8, 9, 10, 11, 12

6, 7, 8, 9, 10, 11, 12, 13

7, 8, 9, 10, 11, 12 ,13, 14

The multiples of 3 are shown in bold and italic.

There are 48 possible sums.

16 sums are multiples of 3.

p(numbers whose sum is a multiple of 3) =

(number of outcomes that are multiples of 3)/(total number of possible outcomes)

p(numbers whose sum is a multiple of 3) = 16/48

p(numbers whose sum is a multiple of 3) = 1/3

Answer: C 1/3

Please help me out!!!

Please help me out!!!

Answers

Answer:

(0,4)

Step-by-step explanation:

50 PTS & BRAINLIEST! PLEASE HELP ASAP! Add one number to each column of the table so that it shows a function. Do not repeat an ordered pair that is in the table

50 PTS & BRAINLIEST! PLEASE HELP ASAP! Add one number to each column of the table so that it shows

Answers

The additional ordered pair to form the function (12, 7)

What is function?

A function is a relation for which each value from the set the first components of the ordered pairs is associated with exactly one value.

Given that, a table which is showing a function,

We need to find one ordered pair that can shows a function,

According to the definition of the function, we know that each value of x will have a unique value of y,

From the numbers given, the only ordered pair that shows a function is (12, 7)

Hence, the additional ordered pair to form the function (12, 7)

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Xavier ran 13 miles in 182 minutes. Assume Xavier maintains a constant speed.
Enter the number of minutes it takes Xavier to run 1 mile

Answers

Answer:

14 minutes

Step-by-step explanation:

We can represent Xavier's running in the following ratio using the given information:

distance : time

13 miles  :  182 minutes

To get the answer to this problem, all we have to do is divide both sides of the ratio by 13, so that the left side is 1 mile.

\(13 \textrm{ miles} : 182\textrm{ minutes}\\\overline{\ \ \ \ 13 \ \ \ \: } \ \ \: \overline{\ \ \ \ \ \ \, 13 \ \ \ \ \ \ }\)

1 mile     :   14 minutes

It takes Xavier 14 minutes to run 1 mile.

Choose the correct equation to solve for x

Choose the correct equation to solve for x

Answers

Answer:

Answer Option 3

Step-by-step explanation:

the answer is option 3 for the question

Tiffany has taken out a loan with a stated interest rate of 8.145%. how much greater will tiffany’s effective interest rate be if the interest is compounded weekly than if it is compounded semiannually? a. 0.3340 percentage points b. 0.1659 percentage points c. 0.1681 percentage points d. 0.1234 percentage points please select the best answer from the choices provided a b c d

Answers

Tiffany's effective interest is compounded weekly is 0.1604% greater than the compounded semiannually.

Compound interest is when you earn interest on both the money you've saved and the interest you earn.

Given,

The interest rate i= 8.145%

Number of weeks in an year n= 52

We know,

Effective interest rate =\((1+\frac{i}{n})^{n}-1\)

Substitute the values

\(R_{1}=(1+\frac{0.08145}{52})^{52}-1\\ R_{1}= 0.084789\)

Case 2

Compounded semiannually

\(R_{2}=(1+\frac{0.08145}{2})^{2}-1\\ R_{2}=0.083108\)

The difference is

\(R_{1}-R_{2}= 0.084789-0.083185\)

=0.001604

=0.1604%

Hence, the Tiffany's effective interest is compounded weekly is 0.1604% greater than the compounded semiannually

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Factor the trinomial represented by the algebra tiles.
2
The result is
11
11
XXXX
XXX

Factor the trinomial represented by the algebra tiles.2The result is1111XXXXXXX

Answers

The factor form of two possible trinomials representing the tiles are: (i) y = (x - 7) · (x + 1), (ii) y = (x + 7) · (x - 1).

How to derive the trinomial and its factor form

In this problem we find a tile representing a trinomial, a quadratic equation of the form y = A · x² + B · x + C, where A, B, C are real coefficients. The number of blue squares indicates that A = 1, the number of yellow squares indicates that B = 6 and the number of green rectangles indicates that C = 7.

In addition, the quadratic equation can be factored in two ways if the following signs are included in the given coefficients:

A = 1, B = - 6, C = - 7

Standard form: y = x² - 6 · x - 7

Factor form: y = (x - 7) · (x + 1)

A = 1, B = 6, C = - 7

Standard form: y = x² + 6 · x - 7

Factor form: y = (x + 7) · (x - 1)

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Can someone please give me a real answer, I’ll give you brainliest aswell!!!

Can someone please give me a real answer, Ill give you brainliest aswell!!!

Answers

Answer:

See attachment.

Step-by-step explanation:

If CD and MB are parallel, triangle CDE is similar to triangle MBE.

In similar triangles, corresponding sides are always in the same ratio.

\(\implies \sf CD:MB=DE:BE=EC:EM\)

From inspection of the given diagram, EM is approximately 0.35 times the length of EC.  Therefore, let EC = 10 and EM = 3.5.

The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

Therefore, let CD = 7 and let DE = 12.

Substitute these values into the created ratio equation:

\(\implies \sf 7:MB=12:BE=10:3.5\)

\(\implies \sf \dfrac{7}{MB}=\dfrac{12}{BE}=\dfrac{10}{3.5}\)

Calculate BE:

\(\implies \sf \dfrac{12}{BE}=\dfrac{10}{3.5}\)

\(\implies \sf \dfrac{12 \cdot 3.5}{10}=BE\)

\(\implies \sf BE=4.2\)

Calculate MB:

\(\implies \sf \dfrac{7}{MB}=\dfrac{10}{3.5}\)

\(\implies \sf \dfrac{7 \cdot 3.5}{10}=MB\)

\(\implies \sf MB=2.45\)

Therefore:

\(\implies \sf CM=EC-EM\)

\(\implies \sf CM=10-3.5\)

\(\implies \sf CM=6.5\)

\(\implies \sf DB=DE-BE\)

\(\implies \sf DB=12-4.2\)

\(\implies \sf DB=7.8\)

Can someone please give me a real answer, Ill give you brainliest aswell!!!

Need help on this algebraic question!
Thank you

Need help on this algebraic question! Thank you

Answers

$39.99+238.8+1.75x and  $4.99=1.99x+$40 are the algebraic expressions of given data.

What is slope intercept form of line?

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

Given that $39.99 /month, unlimited texting , 120MB data (Overages $1.99 /MB talk is $1.75 /minutes

$39.99+120(1.99)+1.75x

$39.99+238.8+1.75x

$4.99 /month, unlimited texting ,$40 for 80MB data talk is $1.99 /minutes

$4.99+1.99x+$40

Hence, $39.99+238.8+1.75x and  $4.99+1.99x+$40 are the algebaic expressions of given data.

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Guys please help I’m having so much trouble

Guys please help Im having so much trouble

Answers

Answer:

Hello! Your answer would be B)B

Step-by-step explanation:

Hope I helped! Brainiest plz!♥ Have a nice morning! Hope you make a 100%! -Amelia

based on data from a statistical abstract, only about 17% of senior citizens (65 years old or older) get the flu each year. however, about 23% of the people under 65 years old get the flu each year. in the general population, there are 10% senior citizens (65 years old or older). (round your answers to three decimal places.) (a) what is the probability that a person selected at random from the general population is senior citizen who will get the flu this season? (b) what is the probability that a person selected at random from the general population is a person under age 65 who will get the flu this year? (c) repeat parts (a) and (b) for a community that has 91% senior citizens. (a) (b) (d) repeat parts (a) and (b) for a community that has 52% senior citizens. (a) (b) g

Answers

A) The probability that a person selected at random from the general population is senior citizen who will get the flu this season is 0.017.

B) The probability that a person selected at random from the general population is a person under age 65 who will get the flu this year is 0.207.

C) a) 0.1547 community has 91% senior citizens.

    b) 0.0207 community has 91% senior citizens.

D) a) 0.0884 community has 52% senior citizens.

    b) 0.1104 community has 52% senior citizens.

Probability:

Probability is a measure of the uncertainty of various phenomena. For example, if you roll a die, the possible outcomes are defined by probabilities. This distribution can be defined using random experiments with uncertain or unpredictable outcomes.

A) (a) The probability that a person selected at random from the general population is senior citizen who will get the flu this season is

                      0.10 x 0.17 = 0.017

(b) The probability that a person selected  randomly from the general population is a person under age 65 who will get the flu this year is

             (1 - 0.10) x 0.23 = 0.9 x 0.23 = 0.207

(c) (a) 0.91 x 0.17 = 0.1547

    (b) (1 - 0.91) x 0.23 = 0.09 x 0.23 = 0.0207

Therefore, 91% senior citizens has 0.1547 flu

        and b) 0.0207 senior citizens are there.

(d) (a) 0.52 x 0.17 = 0.0884

    (b) (1 - 0.52) x 0.23 = 0.48 x 0.23 = 0.1104

Therefore, 52% senior citizens has 0.0884 probability of getting flu.

             b) 0.1104 community has flu.

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Explain how to calculate the surface area of a composite figure in your own words.

Answers

Answer:

tik

Step-by-step explanation:

Answer:

Sample response: First separate the composite into component figures. Then find the surface area of each figure. A two-dimensional net can be used to find the surface area. Add the surface areas of the components. Then, subtract or exclude the areas of the figures that are shared.

barbara sells iced tea for $1.49 per bottle and water for $1.25 per bottle. she wrote an equation to find the number of bottles she needs to sell to earn $100. 1.25x 1.49

Answers

Barbara wrote an equation, 1.25x + 1.49, to find the number of bottles (x) she needs to sell in order to earn $100.

The equation 1.25x + 1.49 represents the total earnings Barbara would make by selling x bottles of water at $1.25 per bottle and x bottles of iced tea at $1.49 per bottle. The term 1.25x represents the earnings from selling water, and 1.49 represents the earnings from selling iced tea.

To find the number of bottles (x) Barbara needs to sell to earn $100, we set the equation equal to $100 and solve for x:

1.25x + 1.49 = 100

By rearranging the equation and isolating the variable x, we can solve for x. This equation can be solved using algebraic techniques such as combining like terms, subtracting 1.49 from both sides, and dividing by 1.25.

Once we determine the value of x, we will know the number of bottles Barbara needs to sell in order to earn $100.

Please note that without the complete equation or additional information, we cannot provide the specific solution for x or the exact number of bottles Barbara needs to sell to earn $100.

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you have a set of points with a y:x constant ratio of 3:7. what is the equation of the line passing through these points?

Answers

The equation of the line passing through these points i.e (7,3 ) and (14,6) is

y = (3/7) x or 3x - 7y = 0 ,

Which is linear equation of two variables.

A linear equation is an algebraic equation of the form y = mx + b , with only one constant and one first-order (linear) term, m is the slope and b is the y-intercept.

We have given that,

the ratio of y and x is y : x = 3 : 7

So the ratio of x and y can be expressed as ,

x : y = 7 : 3 ( reverse order)

So let's consider two points as

(x₁, y₁)=(7 , 3) and (x₂, y₂) = (14 , 6)

The equation of the line passing through these points will be,

( y - y₁ )/ (y₂ - y₁) = (x - x₁)/(x₂ - x₁)

=> (y - 3)/(6-3) = (x - 7)/(14 - 7)

=> (y - 3)/3 = (x - 7)/7

=> 7(y - 3) = 3( x - 7)

=> 7y - 21 = 3x - 21

=> 7y = 3x

=> y = (3/7) x

Hence, y = (3/7) x is required equation of line.

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Determine the equation of the circle with radius
56 and center (9,0).

Answers

The equation of a circle with radius 56 and center (9,0) is \(x^2 - 18x + 81 + y^2 = 3136.\)

The equation of a circle with radius r and center (h,k) is \((x - h)^2 + (y - k)^2 = r^2.\)

In this case, the radius is r = 56 and the center is (h,k) = (9,0).

Therefore, the equation of the circle can be calculated as follows: \((x - 9)^2 + (y - 0)^2 = 562.\)

Expanding the equation, we can calculate \((x^2 - 18x + 81) + (y^2 - 0) = 3136.\)

This can be simplified to \(x^2 - 18x + 81 + y^2 = 3136\).

Therefore, the equation of the circle with radius 56 and center (9,0) is \(x^2 - 18x + 81 + y^2 = 3136.\)

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HURRY!! (52 POINTS!!)


The ages of people visiting a senior center one afternoon are recorded in the line plot.

A line plot titled Ages At Senior Center. The horizontal line is numbered in units of 5 from 60 to 115. There is one dot above 80 and 110. There are two dots above 70 and 85. There are three dots above 75.

Does the data contain an outlier? If so, explain its meaning in this situation.

A. No, there is no outlier. This means that the people were all the same age.

B. No, there is no outlier. This means that the people are all around the mean age.

C. Yes, there is an outlier at 110. This means that one person's age was 110, which is 25 years older than the next closest age.

D. Yes, there is an outlier of 110. This means that the average person at the center is 110 years old.

Answers

Answer:

C. Yes, there is an outlier at 110. This means that one person's age was 110, which is 25 years older than the next closest age.

Step-by-step explanation:

An outlier is a data point that sticks out like a sore thumb. It's so different from the rest of the data that it makes you wonder if it's a mistake or a miracle. One way to spot an outlier is to use the 1.5IQR rule, where IQR stands for interquartile range. The interquartile range is the gap between the third quartile (Q3) and the first quartile (Q1) of the data. The 1.5IQR rule says that any data point that is more than 1.5*IQR above Q3 or below Q1 is an outlier.

In this case, the first quartile (Q1) is 75, the third quartile (Q3) is 85, and the interquartile range (IQR) is 10. So, any data point that is more than 1.5*10 = 15 above 85 or below 75 is an outlier. The only data point that does this is 110, which is 25 above 85. That means 110 is an outlier.

What does this outlier mean in this situation? It means that one person who came to the senior center that afternoon was way older than the rest of the folks. The average age of the visitors was not changed by this outlier, since it was just one out of 12 data points. But, the outlier does mess up the range and the standard deviation of the data, making them bigger than they would be without the outlier.

Answer:The answer is C

Step-by-step explanation:I did the test.

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