SLook at point in the coordinate grid.If a line contains both points and the origin, which point would the line also contain? *(2 points)DS(12,8)(14,7)(15,9)(20, 12)5tvAle--AR

SLook At Point In The Coordinate Grid.If A Line Contains Both Points And The Origin, Which Point Would

Answers

Answer 1

the point which will fall in the line is (14, 7)

Explanation:

The coordinates o f S = (2, 1)

When we draw a line from the origin (0, 0) touching the point S, we will see the next point will be (4, 2). Followed by (6, 3).

So when we look at the trend, we see that the x axis is the double of the y axis:

(2y, y) = (x, y)

(2,1 ) , (4, 2), (6, 3)

From the above, we can say the point which will fall in the line will follow that trend:

When we check the options, the only point with that trend is (14, 7).

This because (2(7), 7) = (2y, y)

Hence, the point which will fall in the line is (14, 7)


Related Questions

The United States Department of Agriculture (USDA) found that the proportion of young adults ages 20–39 who regularly skip eating breakfast is 0.238 . Suppose that Lance, a nutritionist, surveys the dietary habits of a random sample of size =500 of young adults ages 20–39 in the United States.

Apply the central limit theorem to find the probability that the number of individuals, , in Lance's sample who regularly skip breakfast is greater than 126 . You may find table of critical values helpful.

Express the result as a decimal precise to three places.
(>126)=

Part 2: Apply the central limit theorem for the binomial distribution to find the probability that the number of individuals in Lance's sample who regularly skip breakfast is less than 98 . Express the result as a decimal precise to three places.

(<98)=

Answers

Using the normal approximation to the binomial, it is found that there is a 35.57% probability that the number of individuals in Lance's sample is.

What is Normal Probability Distribution?

In a normal distribution with mean and standard deviation, the z-score of a measure X is given by:

z = x - [tex]\mu[/tex]/ [tex]\sigma[/tex]

Normal Probability Distribution measures how many standard deviations the measure is from the mean.  

In this problem:

The proportion of young adults ages 20–39 who regularly skip eating breakfast is given as 0.238, hence p = 0.238

A sample of 500 hence n = 500

The mean and the standard deviation are given by:

[tex]\mu[/tex] = 500 ( 0.238) = 119

[tex]\sigma[/tex] = 9.5225

The probability that the number of individuals in Lance's sample who regularly skip breakfast will be greater than 122, using continuity correction, then the p-value of Z when X = 122.5.

z = x - [tex]\mu[/tex]/ [tex]\sigma[/tex]

z = 122.5 - 119/ 9.5225

z = 0.37

Then p-value of 0.6443.

1 - 0.6443 = 0.3557.

0.3557 = 35.57%is the probability that the number of individuals in Lance's sample who regularly skip breakfast is greater than 122.

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Thanks to whoever helps

Answers

Answer:

Step-by-step explanation:

erm

A triangle is 180 degrees

Add both angles then subtract by 180

Estimate 70⎯⎯⎯⎯√3 to the nearest integer.

Answers

Answer:

Step-by-step explanation:

round up

√3 = √4

70-√4= 70-2

=68

When creating a graph, it is important to _____ the x and y axis?

Answers

"When creating a graph, it is important to assign the x and y axis."

Assigning the x and y axes is crucial when making a graph because the x-axis is referred to as the line on a Cartesian coordinate system that runs horizontally. A point or line's separation from the y-axis can be determined using the x-axis. The y-axis displays a point's location on a Cartesian plane in the y (vertical) direction. Additionally, it serves as the origin (zero) point for calculating how far a point is from the x-axis.

What is Graph?

A graph is a structure that resembles a set of objects in mathematics, more specifically in graph theory, in which some pairs of the objects are conceptually "related." The objects are represented by mathematical abstractions known as vertices, and each pair of connected vertices is referred to as an edge.

What is x and y axis?

Two parallel lines, known as axes (pronounced AX-eez), that are perpendicular to each other make up a coordinate grid. Typically, the term "x-axis" refers to the horizontal axis. The y-axis is the common name for the vertical axis. The origin is the location where the x- and y-axes intersect.

"When creating a graph, it is important to assign the x and y axis."

Because the x-axis is referred to as the line on a Cartesian coordinate system that runs horizontally, determining the x and y axes is essential when creating a graph. The x-axis can be used to calculate a point or line's distance from the y-axis. A point's position on a Cartesian plane is shown on the y-axis in the y (vertical) direction. It also acts as the origin (zero) point for determining a point's distance from the x-axis.

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Home NaviarStudent and Parent...Grades and Attenda...If DE is parallel to PQ and DE is parallel to XY,which statement must be true?A. PQ and XY are perpeAdicular lines.B. PQ and XY are parallel lines.C. PQ and XY are skew lines.D. PQ and XY are oblique lines.

Answers

The line DE is parallel to line PQ and line DE is parallel to XY.

If any one line is parallel to any other line and any of one line (from two parallel line) is parallel to third line then all three line are parallel to each other.

So line PQ, line XY and line DE all three parallel to each other.

Option B is correct.

A data set has these values: 13, 15, 15, 17, 17, 17, 17, 19, 19, 21. A histogram
of the distribution is shown.
Frequency
4
3
2
0
12 14 16 18 20 22
Which statement does not describe the data set?
A. It has a median of 17.
OB. It has a mode of 17.
OC. It is symmetric.
D. It has a range of 22.

Answers

The correct option is option D) it has range of 22

What is the range of a dataset?

It the difference between the minimum and maximum value of the dataset.

We are given a dataset with a histogram and we are asked to find out which of the given options does not describe the data

We find the answer by eliminating the correct option

Our given dataset contains 10 points

Hence the median will be the average of 5th and 6th element

Here the 5th and 6th elements are 17

Hence the median of the dataset is 17

Similarly 17 is repeated 4 times in the dataset. i.e highest number of times

Hence 17 is the mode of the dataset

If you look clearly at the histogram from median it is symmetrical that is left side equal to the right side

But if you look at the range the minimum value is 13 and maximum value is 21

Hence the range of the function is 21-13=8

And not 22

Hence the correct option is option D)

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The equation y = -16x² +96x + 20 models the height, in feet, after a seconds, of a toy rocket
that is launched from a cliff that is 20 feet (ft) above the ground.
Use the above information to answer the questions below. Round all answers to the tenthplace.

Answers

Answer:

No questions are shown.  See attached graph for more details.

Step-by-step explanation:

See attachment

4 Which statement about the expression -4/9 x - 3/8 is true? 9 A. The product is greater than 1. B. The product is less than both factors. C. The product is less than D. The product is a positive number.

Answers

Given data:

The given expression is -4/9 x=3/8

The given expression can be written as,

[tex]\begin{gathered} -\frac{4}{9}x=\frac{3}{8} \\ x=-\frac{27}{32} \end{gathered}[/tex]

The product is less than both the factors.

Thus, option C) is correct.

an article suggests that a poisson process can be used to represent the occurrence of structural loads over time. suppose the mean time between occurrences of loads is 0.4 year. (a) how many loads can be expected to occur during a 4-year period? loads (b) what is the probability that more than twelve loads occur during a 4-year period? (round your answer to three decimal places.) (c) how long must a time period be so that the probability of no loads occurring during that period is at most 0.3? (round your answer to four decimal places.) yr

Answers

The probability of no loads occurring during that period is at most 0.3 exists 3.2 years.

How long must a time period be so that the probability of no loads occurring during that period?

Given: Mean time between occurrence = 0.4 year

A number of loads expected to occur during a 4 year period

Period = 4

Mean time = 0.4

Let the formula = Period/Mean Time

The number of loads expected to occur during a 4-year period

= 4/0.4 = 10 loads

B. Probability that more than 11 loads occur during 4 year period

The expected number of loads during 4-year period = 10 (from A above)

mean = 10

Using Poisson distribution,

P(k events in interval)= (λ^k * e^-k)/k!

where: k = 0, 1, 2,3,4, . . ., 11 and λ = 10.

P(k = 0) = (1[tex]0^0[/tex] × [tex]e^{-10[/tex])/0! = 0.000045

P(k = 1) = (1[tex]0^1[/tex] ×  [tex]e^{-10[/tex])/1! = 0.000454

P(k = 2) = (10² ×  [tex]e^{-10[/tex])/2! = 0.00227

P(k = 3) = (10³ ×  [tex]e^{-10[/tex])/3! = 0.007567

P(k = 4) = (1[tex]0^4[/tex] ×  [tex]e^{-10[/tex])/4! = 0.018917

P(k = 5) = (1[tex]0^5[/tex] ×  [tex]e^{-10[/tex])/5! = 0.037833

P(k = 6) = (1[tex]0^6[/tex] ×  [tex]e^{-10[/tex])/6! = 0.063055

P(k = 7) = (1[tex]0^7[/tex] ×  [tex]e^{-10[/tex])/7! = 0.090079

P(k = 8) = (1[tex]0^8[/tex] ×  [tex]e^{-10[/tex])/8! = 0.112599

P(k = 9) = (1[tex]0^9[/tex] ×  [tex]e^{-10[/tex])/9! = 0.12511

P(k = 10) = (1[tex]0^{10[/tex] ×  [tex]e^{-10[/tex])/10! = 0.12511

P(k = 11) = (1[tex]0^{11[/tex] ×  [tex]e^{-10[/tex])/11! = 0.113736

The probability that more than 11 loads occur during a 4-year period is then given by the following Express

1 - [P(k = 0) + P(k = 1) + P(k = 2) + . . . + P(k = 11)]

substitute the values in the above equation, we get

= 1 - [0.000045 + 0.000454 + 0.00227 + 0.007567 + 0.018917 + 0.037833 + 0.063055 + 0.090079 + 0.112599 + 0.12511+ 0.12511 + 0.113736]

simplifying the equation, we get

= 1 - 0.571665 = 0.428335

C. How long must a time period be so that the probability of no loads occurring during that period is at most 0.3

(λ^0 * e^-λ)/0! = 0.3

⇒ e^-λ/1 = 0.3

simplifying the above equation, we get

⇒ e^-λ = 0.3

⇒ -λ = ln 0.3

⇒ -λ = -1.204

⇒ λ = 1.204

The time period = 4 years / 1.204

Time period = 3.2 years

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Please solve in the substitution method only 3x + 2y = 12x = 2/3 y

Answers

[tex]\begin{gathered} 3x+2y=12 \\ x=\frac{2}{3}y \end{gathered}[/tex]

To solve the system of equation using substitution method only, here are the steps.

1. Since the 2nd equation has been equated already into x = or y = , we can use this value to substitute the "x" value in the first equation.

[tex]\begin{gathered} 3x+2y=12 \\ 3(\frac{2}{3}y)+2y=12 \end{gathered}[/tex]

2. Then, solve for y.

a. Eliminate first the parenthesis by multiplying the number outside it to the number inside it. (3 x 2/3y = 2y)

[tex]\begin{gathered} 2y+2y=12 \\ \text{Add similar terms.} \\ 4y=12 \\ \text{Divide both sides of the equation by 4.} \\ \frac{4y}{4}=\frac{12}{4} \\ y=3 \end{gathered}[/tex]

Therefore, the value of y is 3.

3. Plug in the value of "y" to either of the equation to solve for x. For this solution, we will plug it in to the second equation.

[tex]\begin{gathered} x=\frac{2}{3}y \\ x=\frac{2}{3}(3) \\ x=2 \end{gathered}[/tex]

The value of x = 2.

To check whether these values are true for both equations, we can plug them in.

[tex]\begin{gathered} 3x+2y=12 \\ 3(2)+2(3)=12_{} \\ 6+6=12 \\ 12=12 \end{gathered}[/tex][tex]\begin{gathered} x=\frac{2}{3}y \\ 2=\frac{2}{3}(3) \\ 2=\frac{6}{3} \\ 2=2 \end{gathered}[/tex]

Indeed, the values of x and y are true to both equations. The solution x = 2, y = 3 correct.

help me out *warning* its hard jk

Answers

Answer:

0.321    repeating 1

Step-by-step explanation:

A) What percentage of the cars are black?

B) 7 out of 12 black cars are new,express this value as a percentage rounding to two
decimal places.

C) What fraction of the cars were red?

D) Express the number of red cars as a percentage rounding to two decimal places?

Answers

Step-by-step explanation:

The total number of cars=24

Number of black cars=12

Divide 12 by 24,multiplied by 100%

12÷24 ×100=50%

Therefore, 50% of the cars are black

PLEASE HELP ME!!!!!!!

Answers

Answer: 31

Step-by-step explanation:

The numbers are increasing by 1, then 2, then 3, ...

In other words, the second difference is 1.

So, the next number is likely [tex]24+7=31[/tex].

Find the measure of angle L. Round youranswer to the nearest degree.

Answers

Given the triangle KLM, you can find the measure of angle L by using the Law of Sines. This states that:

[tex]\frac{sinA}{a}=\frac{sinB}{b}=\frac{sinC}{c}[/tex]

Where "a", "b" and "c" are sides of the triangle, and "A", "B", and "C" are the angles.

In this case, you can set up this equation:

[tex]\frac{sinK}{k}=\frac{sinL}{l}[/tex]

Knowing that:

[tex]\begin{gathered} m\angle K=22\text{\degree} \\ k=56 \\ l=26 \end{gathered}[/tex]

You can substitute values into the equation and solve for "L". Remember the use the Inverse Trigonometric Function Arcsine, in order to solve for the angle:

[tex]\frac{sin(22°)}{56}=\frac{sinL}{26}[/tex][tex]\frac{26\cdot sin(22°)}{56}=sinL[/tex][tex]sin^{-1}(\frac{26\cdot sin(22°)}{56})=L[/tex][tex]m\angle L\approx10°[/tex]

Hence, the answer is:

[tex]m\angle L\approx10°[/tex]

Explain each step in the space provided below.​

Answers

Answer:

1) multiply and divide by 2 on right hand side

2) multiply by 24 on both sides ( LHS and RHS)

3) divide by -1 on both sides so that negative sign on RHS will be cancelled

all you need is in the photo PLEASE DON'T DO STEP BY STEP BECAUSE IS SO CONFUSING PUT ONLY THE ANSWER

Answers

A) The ball in the ground is represented by h(t)=0, that is, the height is equal to 0, the reference level.

Then, we can find for which values of t we have h(t).

We equal h(t) to 0 and calculate t as:

[tex]\begin{gathered} h(t)=-16t^2+64t=0 \\ 64t-16t^2=0 \\ 16t(\frac{64}{16}-t)=0 \\ t_1=0\text{ (first solution)} \\ t_2=\frac{64}{16}=4\text{ (second solution)} \end{gathered}[/tex]

The ball is in the ground at time t=0 (an instant before it is kicked) and then again at time t=4, that is the value we are looking for: the ball landed again in the ground 4 seconds after kicked.

B) The maximum height can be find in two ways:

- By finding the t-value of the vertex, that in this case will be correspond to the maximum height as this is a concave down parabola with only one extreme point.

- Deriving the function and equaling to 0 and finding t.

If we apply the first method, we have:

[tex]\begin{gathered} h(t)=-16t^2+64x=-16(x^2-4x) \\ -16(x^2-4x) \\ -16(x^2-4x+4-4) \\ -16((x-2)^2-4) \\ -16(x-2)^2+64\longrightarrow\text{Vertex:}(2,64) \end{gathered}[/tex]

As the vertex is at time t=2 seconds, the maximum height happens at t=2.

Answer: A) t = 4 seconds B) t = 2 seconds

NOTE for Part B:

If we derive the expression, we get:

[tex]undefined[/tex]

What is the equation of the line that passes through the point (-8,6) and has a slope of 1/4

Answers

The equation of the line is 4y = x + 32 which passes through the point (-8,6) and has a slope of 1/4.

We have been given the required line that passes through the point (-8,6) and has a slope of 1/4.

What is the slope of the line?

The slope of a line is defined as the angle of the line. It is denoted by m

Slope m = (y₂ - y₁)/(x₂ -x₁ )

Let the required line would be as

⇒ y - y₁ = m (x - x₁ )

The required line passes through the point (-8,6)

Here x₁ = -8 and y₁ = 6 and m = 1/4

Substituting these inputs into the above equation obtains the line equation.

⇒ y - 6 = 1/4 (x - (-8))

⇒ y - 6 = 1/4 (x + 8)

⇒ 4y - 24 = x + 8

⇒ 4y = x + 8 + 24

⇒ 4y = x + 32

Thus, the equation of the line is 4y = x + 32 which passes through the point (-8,6) and has a slope of 1/4.

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(30 points) need help asap

Answers

Answer:

I don't know the value of X. The question says it's in question 2.

Step-by-step explanation:

Explanation on picture

HELP MATH SUCKSSSSSS 7 and 8

Answers

Answer:

Step-by-step explanation:

4. Find f(x) - g(x) * (3 Points)
f(x) = 7x³ - 3x² + 5x+1 and g(x) = 5x³+x²-x-3 Enter Result in Standa
2x³ -5x² +10
02²-4² + 6x +4
-2x²-5r-8.
2²-6r+14

Answers

The value of f(x) - g(x) = 2x³ - 4x² + 6x + 4

What is Function?

A function in mathematics from a set X to a set Y allocates exactly one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively.

Given,

f(x) = 7x³ - 3x² + 5x+1

g(x) = 5x³+x²-x-3

We have to find the value of:

f(x) - g(x)

Substituting the value of f(x) and g(x)

f(x) - g(x) = (7x³ - 3x² + 5x+1 ) - (5x³+x²-x-3)

Now, open the brackets

f(x) - g(x) = 7x³ - 3x² + 5x+1 - 5x³ - x²+ x + 3

Now, arranging them by like terms

f(x) - g(x) = 7x³ - 5x³ - 3x² - x² + 5x + x +1 + 3

               = 2x³ - 4x² + 6x + 4

Hence, f(x) - g(x) = 2x³ - 4x² + 6x + 4

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please can anyone help with this question? :)

Answers

Answer:

ojsjsnajnbaknrkmlamsl

the shape of the density curve for a dataset is like a triangle. that is, as we move to the left of the horizontal axis, it starts from zero height, then rises linearly until some peak, then declines linearly until reaches zero, then stays zero from there onward. if we standardize this dataset by calculating the standard scores, what is the geometrical shape of the density curve for the standardized dataset?

Answers

It will be similar to the original triangle.

The shape of the density curve for a dataset is like a triangle, that is, as we move to the left of the horizontal axis, it starts from zero height, then rises linearly until some peak, then declines linearly until reaches zero, then stays zero from there onward. If we standardize the dataset by calculating the standard scores, the geometrical shape of the density curve will more or less be the same. i.e., similar to the original triangle. Scale of it will be just changed.

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expand the expression: [tex]-\frac{1}{3}[/tex](-6x+15y) to write an equivalent expression. Use as few terms as possible.

Answers

Answer:

2x - 5y

Step-by-step explanation:

Hello!

We can distribute the value outside the parenthesis to the terms inside to simplify the expression.

Simplify:[tex]-\frac13(-6x + 15y)[/tex][tex]-\frac13(-6x) -\frac13(15y)[/tex][tex]\frac{-6x}{-3} - \frac{15y}{3}[/tex][tex]2x - 5y[/tex]

The simplified expression is 2x - 5y.

Under his cell phone plan, Rahul pays a flat cost of $36 per month and $4 per
gigabyte. He wants to keep his bill under $95 per month. Which inequality
can be used to determine g, the maximum number of gigabytes Rahul can use
while staying within his budget?

Answers

The inequality of the function is 36 + 4x < 95 and Rahul can use 14 gigabyte while staying within his budget

How to determine the inequality of the function?

The given parameters are:

Flat cost = $36 per monthRate per gigabyte = $4 per gigabyteRahul's bill = Under $95

The above means that;

The total charges per month is

C(x) = Flat cost + Rate per gigabyte x Number of gigabyte

So, we have

C(x) = 36 + 4x

For the bill to be under $95, we have

36 + 4x < 95

Solving further, we have

4x > 59

Divide by 4

x < 14.75

Hence, the inequality is 36 + 4x < 95

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luke says that "three divided by 21" is the same AS "twenty one divided by three". Is Luke correct? Explain why or why not.

Answers

Answer: He is incorrect

Step-by-step explanation:

3/21 = 0.142857142857143

21/3 = 7

They are two different equations with different answers.

Answer:

He is not correct

Step-by-step explanation:

Luke is not correct because 3/21 is 0.142 while 21/3 is 7.

The ratio 13 to X is equivalent to the ratio 104 to y. Which equation represents y in terms of X?

Answers

Answer:

y=8X

Explanation:

The ratio 13 to X = 13:X

The ratio 104 to y = 104:y

If they are equivalent, we have that:

[tex]13\colon X=104\colon y[/tex]

We write the ratios in fraction form.

[tex]\frac{13}{X}=\frac{104}{y}[/tex]

We then make y the subject of the equation.

[tex]\begin{gathered} 13y=104X \\ y=\frac{104X}{13} \end{gathered}[/tex]

We can simplify further to get:

[tex]\begin{gathered} y=\frac{13\times8X}{13} \\ y=8X \end{gathered}[/tex]

This is the equation that represents y in terms of X.

Look at the attached image, that is the problem


Solve all 3 parts to the attached image

Question 1

1.If ABCD is a parallelogram then

_________________________?

A. Opposite sides of the parallelogram are congruent

B. Consecutive sides of the parallelogram are perpendicular

C. Consecutive sides of the parallelogram are congruent

D. Opposite sides of a parallelogram are parallel

Question 2

2. x=____?

A.9
B.8.5
C.9.5
D.1.9

Question 3

3. CD=____?

A.11.4
B.54
C.51
D.57

Answers

This can be solved using the properties of a parallelogram.

What is a parallelogram?

A parallelogram is a basic (non-self-intersecting) quadrilateral with two sets of parallel sides in Euclidean geometry. A parallelogram's opposing or facing sides are of equal length, and its opposite angles are of equal measure. The congruence of opposing sides and angles is a direct result of the Euclidean parallel postulate, and neither condition can be established without resorting to the Euclidean parallel postulate or one of its equivalent formulations. A quadrilateral having just one set of parallel sides is known as a trapezoid in American English or a trapezium in British English. A parallelepiped is a parallelogram's three-dimensional counterpart.

1. If ABCD is a parallelogram, then

(A) Opposite sides of the parallelogram are congruent

2. In a parallelogram opposite sides are equal, so

 6x = 4x + 19

or, 6x - 4x = 19

or, 2x = 19

or, x = 19/2 = 9.5

Hence, x =

(C) 9.5

3. CD = 6x9.5 = 57 units

(D) 57

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how do i factor 12x² - 48 ?

Answers

Answer:

144x - 24

Step-by-step explanation:

12(x^2-4)
12 is the highest common factor (HCF) therefore it goes outside of the brackets. Then, 12x^2 divided by 12 will give x^2, so that is the first term inside the brackets. -48 / 12 = -4 so that is the second term in the bracket.

What is the solution of the system of equations below?
y+2x=2 y+4x=0

GIVING 100 POINTS PLEASE HELP

Answers

Answer: (-1, 4)

Step-by-step explanation: y=-2x+2, y=-4x Solve for the first variable in one of the equations, then substitute the result into the other equation.

Answer this question using SUBSTITUTION:

Substitution is a method to solving a system of equations through substituting one of the variables for another equation.

y + 2x = 2

y + 4x =0 (rewrite this equation so y is isolated: y =4x)

Since y=4x you can substitute the y in y +2x =2 and solve for x:

4x + 2x =2

6x = 2

x = [tex]\frac{1}{3}[/tex]

Now, plug in x into y =4x:

y = 4 ([tex]\frac{1}{3}[/tex]) = [tex]\frac{4}{3}[/tex] or [tex]1\frac{1}{3}[/tex]

x= [tex]\frac{1}{3}[/tex]

y = [tex]\frac{4}{3}[/tex] or [tex]1\frac{1}{3}[/tex]

On Saturday, 108 people hiked around Lake E. Find the total distance walked by the group.Use the standard algorithm to solve.

(I’ll give brainyest)

Answers

Answer:

1655.64 miles

Step-by-step explanation:

because 108 people times 15.33 miles for all the total people would be 1655.64 miles

Other Questions
3.8% of a population are infected with a certain disease. There is a test for the disease, however the test is not completely accurate. 93.9% of those who have the disease test positive. However 4.1% of those who do not have the disease also test positive (false positives). A person is randomly selected and tested for the disease. What is the probability that the person has the disease given that the test result is positive? 0.475 0.038 0.525 0.905 while riding a roller coaster, a girl drops an object. the roller coaster was rising vertically at a velocity of 11.0m/s and was 5.00m above the ground when the object was dropped. how long does it take to reach the ground In one study, it was found that the correlation between two variables is -.16 What statement is true? There is a weak positive association between the variables. There is a weak negative association between the variables. There is a strong positive association between the variables. There is a strong negative association between the variables. An excursion boat traveled from the Ferry Dock to Shelter Cove. How many miles did ittravel? If 10 = 1+4, then 1+9= 10substitution property symmetric property transitive propertyreflexive property8*1=8Multiplicative InverseMultiplicative IdentityMultiplicative Property of ZeroAdditive Identity Property Irene is 54 inches tall. Theresa is 1 inches taller than Irene and Jane is 1 inches taller than Theresa How tall is Jane Solve for x.3.5x=31.5 i am not sure the best way to solve this problem which function is best represented by this graphA) f(x) = x - 3x + 8B) f(x) = x - 3x - 8C) f(x) = x + 6x + 8D) f(x) = x + 6x - 8 The System of PolynomialsYou are aware of the different types of numbers: natural numbers, integers, rational numbers, and real numbers. Now you will work with a property of the number system called the closure property. A set of numbers is closed for a specific mathematical operation if you can perform the operation on any two elements in the set and always get a result that is an element of the set.Consider the set of natural numbers. When you add two natural numbers, you will always get a natural number. For example, 3 + 4 = 7. So, the set of natural numbers is said to be closed under the operation of addition.Similarly, adding two integers or two rational numbers or two real numbers always produces an integer, or rational number, or a real number, respectively. So, all the systems of numbers are closed under the operation of addition.Think of polynomials as a system. For each of the following operations, determine whether the system is closed under the operation. In each case, explain why it is closed or provide an example showing that it isnt.1)AdditionType your response here:2)SubtractionType your response here:3)MultiplicationType your response here:4)DivisionType your response here:5)Determine whether the systems of natural numbers, integers, rational numbers, irrational numbers, and real numbers are closed or not closed for addition, subtraction, multiplication, and division.Type your response here: 6)Addition Subtraction Multiplication Division natural numbers integers rational numbers irrational numbers real numbers When a rational and an irrational number are added, is the sum rational or irrational? Explain.Type your response here:7)When a nonzero rational and an irrational number are multiplied, is the product rational or irrational? Explain.Type your response here:8)Which system of numbers is most similar to the system of polynomials?Type your response here:9)For each of the operationsaddition, subtraction, multiplication, and divisiondetermine whether the set of polynomials of order 0 or 1 is closed or not closed. Consider any two polynomials of degree 0 or 1.Type your response here:10)Polynomial 1 Polynomial 2 Operation Expression Result Degree of Resultant Polynomial Conclusion addition subtraction multiplication division What operations would the set of quadratics be closed under? For each operation, explain why it is closed or provide an example showing that it isnt.Type your response here:11)Is there a set of expressions that would be closed under all four operations? Explain.Type your response here: A 21-foot beam is to be cut into three pieces so that the second and third piece are each 3 times the length of the first piece. If X represents represents the length of the first piece find the length of each piece. given the following expressions1. -5/8+3/52. 1/2+ 23. (5)(5)4. 3(49)which expression(s) will result in an irrational number.(1) only 2(2) only 3(3) 1,3,4(4) 2,3,4 Re-write the following extract as five sentences. What is the effect? He squinted through the gloom of the interior, which was quite deserted, with a single candle burning near the altar, thinking that it was sad to see an empty church on Christmas Eve, but, shrugging the thought away, he began a careful inspection of the places where the statue might have been concealed. (11) Given A(-9, -12), B(-2, 2), C(x, 6).and D(-5, -2), find the value ofx so that AB || CD A software company in Burlington used to bill clients $214.79 per hour for work done by its consultants. The company recently adjusted its rates and now charges the same amount. What was the percent of decrease in the billing rate? a rocket started at rest.after initiating the launch,it had an acceleration of 90m/s2.how long did it take to reach a speed of 2430 m/s2 an overweight woman participates in her first rugby match without proper training and conditioning. upon catching the opening kickoff, she awkwardly twists her right knee, screams in pain, and falls to the ground. the team manager notes her patella is dislocated, residing on the lateral side of her knee. after straightening the woman's knee, the patellar dislocation is reduced (goes back into place). to prevent future dislocation of the patella, what specific muscle should be targeted during rehabilitation? Will mark as brainlistWhich of the following best represents R= A - B ? Please help, its due soon! Which term describes the process by which light passes through an object or a medium?reflectionreflectionrefractionrefractionabsorptionabsorptiontransmission The market for milk is initially in equilibrium. milk producers engage in an advertising program to encourage milk drinking, which succeeds in shifting consumer tastes toward drinking milk. more milk producers enter the market. standard demand and supply analysis tells us that:_________