Match the correlation coefficients with the
scatterplots shown below.

By analyzing the geometric system presented in the figure, the angle x has a measure of 56°.

In this question we find a representation of pair of angles, that is, a geometric system with two adjacent angles. The sum of the measures of the two angles equals 98° and one of the angles has a measure of 42°:

42° + x = 98°

x = 98° - 42°

x = 56°

The missing angle x has a measure of 56°.

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The interpretation of -600 is (a) the slope of the function and the change in distance remaining, in meters per minute, of riding the bus

From the question, we have the following parameters that can be used in our computation:

f(t) = -600t + 12000

A linear equation is represented as

y = mx + c

Where

Slope = m

When the equations are compared, we have

m = -600

This means that

Slope = -600

So, the interpretation of -600 is the slope

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Answer: Yes, they receive more than $82 for their job

Step-by-step explanation:

First, take 70 times 0.05% = $3.50

Then add them to equal $73.50 is their charge for the job!

Now it says that the homeowner tip 15%

So take 73.50 times 0.15% = $11.03

Then add 73.50 with 11.03 = $84.53

Yes, they receive more than $82 for their job

Therefore, the above sides  and angles will be the corresponding angles and sides of a similar triangle.

Triangle congruence: Two triangles are said to be congruent if all three of their corresponding sides and all three of their corresponding angles have the same measurements. These triangles can be moved around, rotated, flipped, and turned to have an identical appearance.

Here,

In the event that "CAT"

As per SSS guideline, we receive

CA=DO

AT=OG

CT=DG

The congruent triangles' corresponding angles will also be:

∠CAT = ∠DOG

∠ATC = ∠OGD

∠ACT = ∠ODG

Two triangles are similar if they are congruent with one another.

if ∆CAT≅∆DOG

Next,∆CAT~∆DOG

As a result, the angles and sides of the triangle with the same sides as those above will be the same.

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Hence, [tex]y=4+x[/tex] is a proportional relationship.

What is the proportional?

Proportional or proportion meaning in math means equality between two ratios. In the mathematical equation [tex]\frac{a}{b}=\frac{c}{d}[/tex], where [tex]a[/tex] and [tex]b[/tex] are in a similar proportion as [tex]c[/tex] and [tex]d[/tex].

A proportion is essentially established for solving a word problem in which one of its four quantities is unknown.

Here given that,

We have to check [tex]y=4+x[/tex] is a proportional relationship or not.

So, the given equation is

[tex]y=4+x[/tex]

Here, [tex]4[/tex] is constant.

So, [tex]y=4+x[/tex] is a proportional relationship.

Hence, [tex]y=4+x[/tex] is a proportional relationship.

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Answer:

116.9

Step-by-step explanation:

9.1(6) + 8.9(7)

54.6+62.3

116.9

The equation of the line perpendicular to y=-3x-1 that passes through the point (3,4) is y = (1/3)x + 3.

What do you mean by equation of line?

The slope of the line and a point on the line can be used to create the equation of a line. The slope of the line, which can be stated as a numeric integer, fraction, or the tangent of the angle it forms with the positive x-axis, is the line's inclination with respect to the positive x-axis.

The slope of the line given in the question is: -3,

The slope of perpendicular line is negative reciprocal of the slope of other line,

So,

The slope of perpendicular line is: 1/3.

The equation of the line is generally in the form:

y = mx + c

So, the equation of line becomes:

y = (1/3)x + c

We have given that the line passes through the point (3,4).

Putting the values of x and y in the above equation to get the value of c.

4 = (1/3)(3) + c

c = 3

Putting the value of c in the equation,

y = (1/3)x + 3

This is the required equation.

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Answer:

(-3,-4) and (3,4).

Step-by-step explanation:

The measure of angle 9 is 45 degrees.

What is complementary angles?

Complementary angles are those whose combined angle is exactly 90 degrees. 30 degrees and 60 degrees, for instance, are complementary angles.

Given:

Angle 9 and angle 10 are corresponding angles formed by two parallel lines cut by transversal.

The angles are also complimentary.

We have to find the measure of angle 9.

If <9 and <10 are corresponding, it means they are equal i.e <9 = <10

Since <9 and <10 are also complementary angles, their sum will be 90 degrees

<9+<10 = 90

<9 + <9 = 90

2m<9 = 90

m<2 = 90/2

m<2 = 45 degrees

Hence the measure of angle 9 is 45 degrees.

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The true statement is;

There is a greater percentage of Los Angeles residents who own a car than New York City residents who do

Given,

Following is the presentation of the values:

The number of residents in Los Angeles own a car = 3251

The number of residents in New York City  own a car = 1478

Total residents who own a car = 4729

Los Angeles  residents who do not own a car = 869

New York City residents who do not own a car = 6182

Total residents who do not own a car = 7051

Total Los Angeles residents sampled = 4120

Total New York City residents sampled = 7660

Total residents of both cities sampled = 11780

Here,

Percentage of Los Angeles residents who own a car = (3251/4120)×100 = 78.9%

Percentage of New York City residents who own a car = (1478/7660)×100 = 19.3%

Then,

The total number of people in the poll who own a car = 4729

Therefore,

The correct option is that there is a greater percentage of Los Angeles residents who own a car than New York City residents who do.

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Answer: B

Step-by-step explanation:

According to the question,

Given data in the question,

In July, the price of a gallon of gasoline rose=12%

In august, it fell 15% of its final July price,

Ending the month at 1.19 rupees

Let us consider,

x is the original price at the beginning of July,

then the price of gasoline rose is 112%

=100+2

=112%

=112/100

=1.12

In august it fells 15%=100-15%

=.85%

With the help of given data

the original price is---- x

(1.12) × (.85) x = 2.29

find the value of x

x = 2.29/0.952

x=2.41

x=2.41 was its price at the beginning of July.

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The solution to the given system of equations is;

x = -4 and y = 6

We are given the simultaneous equations as;

y = -3x - 6   ------(1)

x - 4y = -28   ------(2)

For eq 1, we can get the coordinates as;

When x = -2, y = -3(-2) - 6 = 0

When x = -1, y = -3(-1) - 6 = -3

When x = 0, y = -3(0) - 6 = -6

When x = 1, y = -3(1) - 6 = -9

When x = 2, y = -3(2) - 6 = -12

For eq 2, we have;

When x = -2, y = (-2 + 28)/4 = 26/4

When x = -1, y = (-1 + 28)/4 = 27/4

When x = 0, y = (0 + 28)/4 = 7

When x = 1, y = (1 + 28)/4 = 29/4

When x = 2, y = (2 + 28)/4 = 7.5

From the graph attached, the solution is (-4, 6)

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The data shows that United States has less intergenerational mobility than Germany this data means that the success of the children of United States depends more on the parents income status in comparison to Germany.

Intergeneration mobility is the extent to which the outcomes of the doings of an individual are different in comparison to his or her parents. This basically means the extent to which an individual is gaining something by his own potential.

According to the data United States has less intergeneration mobility in comparison to the intergenerational mobility of Germany.

From this data that outcomes of a children born in United States depends highly on the parents economic and financial status than German kids.

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If the person has same neighbor to the left and right , Seating is considered same. By using circular permutation, the answer is 2.

A conceivable order or arrangement for a group of items, especially one among several alternatives.

The formula for permutation is:

[tex]P(n,r)= \frac {n!}{(n-r)!}[/tex] (Permutation)

[tex]P(n)=(n-1)![/tex] (Circular permutation)

Total number of people=5

Since the orientation with same neighbor to left and right is considered same. We consider 3 people as 1 which represent a person with neighbors.

Total people used in circular permutation=3

P(3)= (3-1)!

=2!

=2.

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Therefore , the mean time until the one-hundredth call is 4.35 ,the mean time between call numbers 50 and 80 is 1.30 and s the probability that three or more calls occur withing 15 seconds is 0.754

The Poisson distribution, used in probability theory and statistics, is a discrete probability distribution that expresses the likelihood that a specific number of events will take place within a predetermined window of time or space, provided that they do so at a known constant mean rate and regardless of the interval since the last event.

Here,

Thus, calls occur according to a poisson process with λ=23 calls per minute

a)X is the time until the one-hundredth call , X has Erlang distribution with rate of 23 and r =100

E(X)=r/ λ = 100/23 =4.35

b)The expected time between call numbers 50 and 80 is the same as the expected time until the 30th call this is Erlang distribution with rate of 23 and r =30

E(X)=r/ λ =30/23=1.30

c)P(N≥3)  λ=23, x=1/4  ,λx=5

1-P(N≤2) = 1- ∑  [tex]\frac{e^{-5}-5^{k}}{k!}[/tex](from k=0 to 2 )=0.754

Therefore , the mean time until the one-hundredth call is 4.35 ,the mean time between call numbers 50 and 80 is 1.30 and s the probability that three or more calls occur withing 15 seconds is 0.754

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Answer:

Step-by-step explanation:

The value of the number will be;

⇒ x = - 11

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The algebraic expression is,

''Three times the quantity of a number increased by 7 is equal to the same number decreased by 15''

Now,

Let the quantity of a number = x

So, We can formulate;

⇒ 3x + 7 = x - 15

Solve for x as;

⇒ 3x - x = - 15 - 7

⇒ 2x = - 22

⇒ x = - 11

Thus, The value of the number will be;

⇒ x = - 11

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The number of years it will take such that amount spent on each vehicle is the same will be 2.

Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.

In other words, an equation is a set of variables that are constrained through a situation or case.

Suppose after x years the amount will be the same.

5000 + 2500x = 8000 + 800x

2500x - 800x = 8000 - 5000

1700x = 3000

x = 1.76

Since x must be a whole number so it will round up so x = 2.

Hence "The number of years it will take such that amount spent on each vehicle is the same will be 2".

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Fron the given question, we can say that systematic sample because not all sample are possible.

Using the probabilistic sampling technique known as systematic sampling, researchers periodically choose individuals from a community. Choose each 15th of her, for instance, from the population list. You can simulate the advantages of straightforward random sampling by randomly sorting the population.

[tex]Since every 100th horse is selected in the sample. Thus, Systematic Sampling is used.[/tex]

Further,

Sampling method is said to be Simple Random Sampling if unit from the population are picked randomly without any criteria, so that each unit as similar chance of selection.

If any criteria are used to select every sample, such as selecting every fourth unit, the sampling technique is said to be systematic sampling.

If the population is divided into various groups that share the same characteristic, the sampling method is said to be stratified sampling. Additionally, units are chosen at random from these groups.

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The probability of selecting exactly three clubs from a standard deck is 0.088. Where n = 5; p = 0.25; q = 0.75; and x = 3 . It is calculated by using binomial probability.

The binomial probability formula is

P(X = x) = ⁿCₓ pˣ q⁽ⁿ⁻ˣ⁾ = [tex]\frac{n!}{(n-x)!x!} p^xq^{(n-x)}[/tex]

Where n is the number of trials, p i is the probability of success, and q is the probability of failure.

And q = 1 - p

It is given that, a card is selected from a standard deck and replaced.

This experiment has repeated a total of five times. i.e., trials n = 5

So, the probability of success is p = 1/4 = 0.25

(Since one card is to be selected from the five trials where each time the card is replaced)

Then, the probability of failure is q = 1 - 0.25 = 0.75

And it is given that we need to find the probability of selecting exactly three clubs. So, the required random variable is x = 3.

Then, using the binomial probability formula, we get

P(X = x) = ⁿCₓ pˣ q⁽ⁿ⁻ˣ⁾

⇒ P(X = 3) = ⁵C₃ p³q⁽⁵⁻³⁾ = ⁵C₃(0.25)³(0.75)² = 0.0878

On rounding off, we get the required probability as 0.088.

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a random variable can have any value that is possible within the range of -infinity and infinity.So a. can have any value between -infinity and infinity.

A random variable from an experiment with outcomes that are normally distributed can take on any value between -infinity and infinity. This means that it can take on any real number, including fractions and decimals. It is not limited to only a few discrete values, nor does it have to be positive.

A random variable from an experiment with outcomes that are normally distributed can take on any real value between -infinity and infinity. This means that the variable is not limited to a few discrete values, nor does it have to be positive. Instead, it can have any value, no matter how small or large, and including fractions and decimals. Such a random variable can have any value that is possible within the range of -infinity and infinity.

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Static electricity is an imbalance of electric charges within or on the surface of a material.

We have static electricity.

Static electricity is an imbalance of electric charges within or on the surface of a material or between materials. The charge remains until it is able to move away by means of an electric current or electrical discharge.

Therefore, Static electricity is an imbalance of electric charges within or on the surface of a material.

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91 as a product of its prime factors will be 7 and 13.

The highest common factor of 91 and 130 is 13.

The process of factorization simony has to do with the division of arithmetic algebraic expressions into the sum of their factors. in this case, multiplying the variables will yield the original expression. It means the writing of a number into smaller or simpler numbers that give the original number.

The factor of 91 include 1, 7, 13 and 91

The factor of 130 include 1, 2, 5, 10, 13 65, and 130.

The highest factor is 13.

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(a) 10⁴ strings of four digits which end with an even digit.

(b) 10⁵ strings of four digits which begin with an odd digit.

(a)There are 10 choices ranging from 0 to 1,2...9 for the first three digits of the string that ends in an even number and four possibilities ranging from 2,4,6,8, for the last digit.

According to the product rule there are 4000 strings that terminate in an odd number or 10 × 10 × 10 × 4.

(b) Also there are 10 choices ranging from 0 to 9 for the last three digits of the string that ends in an odd or even number and 5 possibilities ranging from 1,3,5,7,9 for the first digit .

According to the product rule there are 5000 strings that terminates in an even number or 10 × 10 × 10 × 5.

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The equation that can be used to find {p}, the number of pieces Joy and her brother ate is : {p} + 4 = 16.

Given is that Joy baked 2 pizzas and cut each pizza into 8 pieces. Joy and her brother ate all but 4 pieces of pizza.

We can write the equation {p} as -

2 x 8 = 4 + {p}

{p} + 4 = 16

Therefore, the equation that can be used to find {p}, the number of pieces Joy and her brother ate is : {p} + 4 = 16.

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{Question in english language is -

Joy baked 2 pizzas and cut each pizza into 8 pieces. Joy and her brother ate all but 4 pieces of pizza. What equation can be used to find p, the number of pieces Joy and her brother ate?

answer

x=-10

x=0

Step-by-step explanation:

x(x+10) =0

apply zero product property

sorry if this is a straight forward answer

Answer:

The first solution is -10 and the second solution is 0

Step-by-step explanation:

The question is x * (x+10) = 0

When the product of factors equals 0, at least one factor is 0:

x = 0

x+10 = 0 which can be simplified to x = -10 by subtracting 10 from both sides. Thus, the two solutions to x * (x+10) = 0 is -10 and 0.

Answer:

C) 9/40

Step-by-step explanation:

1 - [tex]\frac{2}{5}[/tex] - [tex]\frac{3}{8}[/tex]     Make equivalent fractions with 40 as the denominator

[tex]\frac{2}{5}[/tex] x [tex]\frac{8}{8}[/tex] = [tex]\frac{16}{40}[/tex]   Another name for [tex]\frac{8}{8}[/tex] is one.  This is how we can make equivalent fractions.

[tex]\frac{3}{8}[/tex] x [tex]\frac{5}{5}[/tex] = [tex]\frac{15}{40}[/tex]

1 can also be written [tex]\frac{40}{40}[/tex]

[tex]\frac{40}{40}[/tex] - [tex]\frac{16}{40}[/tex] - [tex]\frac{15}{40}[/tex] = [tex]\frac{9}{40}[/tex]

Answer:

[tex]10w + 2w^{2}[/tex]

Step-by-step explanation:

To solve this, we have to apply the distributive property and simplify:

(-2w x -5) + (-2w x -w)

[tex]10w + 2w^{2}[/tex]

Answer:

[tex]10w + 2w {}^{2} [/tex]