Which equation represents a line that is parallel to the line y = -2/3x + 5? Pls Hurry :/

Answer: Ethiopia has a population growth rate above 2.5% and a life expectancy of 61 years old

The probability of pulling a spade or a four of hearts is 0.264 .

we have , from a deck of cards

probability of pulling a spade = 1/4 = 13/52

probability of not pulling a spade 3/4 = 39/52

probability of pulling a 4 of hearts = 1/52

probability of not pulling a spade = 51/52

we have to find the probability of pulling a spade or a four of hearts from a random shuffled deck

So we can get three cases :

case  A :

getting a spade and not getting four of hearts

∴ P (A) = [tex](\frac{13}{52} ) (\frac{51}{52} )[/tex] = 663/2704

case  B :

not getting a spade and getting four of hearts

P(B) = [tex](\frac{39}{52}) (\frac{1}{52} )[/tex]  =  39/2704

case  C :

getting a spade and getting four of hearts

P(C) = [tex](\frac{13}{52})(\frac{1}{52} )[/tex] = 13/2704

therefore , the required probability will become

P = P(A) +P(B) + P(C)

P = 715/ 2704

P = 0.264

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Two similar triangles have,

The ratio of two sides of one triangle  = Ratio of two sides of the other triangle

The distance between Alanton and Bishop is 14 miles.

It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.

Alanton:

16 miles from Oakley.

8 miles from Crawford.

28 miles from Fayeville

We can have two similar triangles as shown below.

Two similar triangles have,

The ratio of two sides of one triangle  = Ratio of two sides of the other triangle

AB / AC = DE/ DF

8 / 16 = x / 28

1/2 = x/28

x = 28/2

x = 14

Thus,

The distance between Alanton and Bishop is 14 miles.

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Answer:

because there’s additional numbers to the equation

Step-by-step explanation:

it differs because of the -3 it’s -3 down

Answer:

Step-by-step explanation:

A=lw

= 21/4 in * 1/3in= 21/12 in.^2= 7/4in^2 or 7/4 inch squared

The probability of having at least one dog adopted is 0.6126

It is given that the probability to adopt a dog is 0.1

The adoption of the dog here clearly follows a Binomial distribution

ⁿCₓ  X  pˣ  X  (1 - p)ⁿ⁻ˣ

where,

n = no. os sample

p = probability of success

x = random variable.

Here the success would be the adoption of a dog, We are given here there were 9 visits

Hence,

n = 9

p = 0.1

1 - p = 0.9

we need to find the probability of the adoption of at least one dog

= P(X ≥ 1)

= 1 - P(X = 0)

Hence we get

P(X = 0)

= ⁹C₀  X  0.1⁰  X  0.9⁹

= 0.3874

Hence,

P(X ≥ 1)

= 1 - 0.3874

= 0.6126

Therefore the probability that at least one dog will be adopted is 0.6126

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Answer:

If a house need 50 hours to paint, it will cost $3000

Step-by-step explanation:
--- According to the problem, $500 is the cost for supplies, which means that for every house, that cost will be there. In other words, this payment never changes no matter the house. So far you pay $500

--- Now, the problem says that you pay $50 for each hour of labor. Since the house need 50 hours, we will multiply 50 (the cost) by 50 (the hours) = 2500.

--- Now we put the payments together. 500 + 2500 = 3000. So it will cost $3000 to paint a house that need 50 hours.

The value of y that makes the two matrices inverse of each other is 1/2

The inverse of a square matrix A, denoted by A⁻¹.

The formula is [tex]\frac{1}{|A|}.adj(A)[/tex]

The product of A and A⁻¹  should be the identity matrix. The identity matrix that results will be the same size as matrix A.

Inverse of given first matrix is

[tex]\left[\begin{array}{cc}6&14\\-2&-4\end{array}\right][/tex]

Determinant = |A|  = 6(-4) - (14)(-2)

= -24 + 28

= 4

Adjoint of matrix = [tex]\left[\begin{array}{cc}-4&-14\\2&6\end{array}\right][/tex]

Inverse of matrix = [tex]\frac{1}{|A|}.adj(A)[/tex]

Therefore , Inverse = [tex]\frac{1}{4}.\left[\begin{array}{cc}-4&-14\\2&6\end{array}\right][/tex]

= [tex]\left[\begin{array}{cc}-4/4&-14/4\\2/4&6/4\end{array}\right][/tex]

A⁻¹ = [tex]\left[\begin{array}{cc}-1&-7/2\\1/2&3/2\end{array}\right][/tex]

Is required inverse

If we compare the inverse with second matrix

y = 1 / 2

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Answer:

third option:      1/2

Step-by-step explanation:

The perimeters of the given figures 4, 5, 6 are 27 m, 140.76 cm  and 28 inches respectively.

We need to find the perimeter of given figures.

The perimeter of a shape is defined as the total distance around the shape. It is the length of the outline or boundary of any two-dimensional geometric shape. The perimeter of different figures can be equal in measure depending upon the dimensions.

4) Now, sum of all the sides

= 5+3.5+1.5+3.5+5+3.5+1.5+3.5 m

= 27 m

5) Here, radius = Diameter/2 = 17 cm

Perimeter = 2 semicircles+2(17) cm

= 2 × 1/2 πr + 2×17

= 2 × 3.14 × 17 + 34

= 140.76 cm

6) In the given figure here, there are 4 similar triangles

= 4(4+3) inches

= 4 × 7

= 28 inches

Therefore, the perimeters of the given figures 4, 5, 6 are 27 m, 140.76 cm  and 28 inches respectively.

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Yes the diagram has enough information to prove that line segment JK is parallel to line segment ML

A rectangle is a polygon that has four sides. the two opposite sides are parallel to each other.

The given figure is a rectangle and according to the figure line LK is equal to line JM

This defines a parallel line which are lines that are equally spaced apart such that the lines will never meet

hence line segment JK is parallel to line segment ML since they are equally spaced, the spacing is achieved by line segment LK and line segment JM

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The value of the variables in figure x and y are 14 and 28.5 respectively.

Linear pairs of angles are produced when two lines intersect each other at a point. The sum of angles of the linear pair is always 180 degrees.

We have been given the following parameters;

The two lines a and b are parallel to each other.

Therefore, Angle (5x - 7) and Angle (3x + 17) are the same because of alternate interior angles.

Thus, (5x - 7) =  (3x + 17)

Solving;

(5x - 7) =  (3x + 17)

5x - 3x = 17 + 7

2x = 28

x = 14

Now, we can see that Angle (5x - 7) and Angle (4y + 3) makes linear pairs on line A.

Thus,  (5x - 7) + (4y + 3) = 180

Substitute x = 14

(5(14) - 7) + (4y + 3) = 180

70 - 7 + 4y + 3 = 180

4y + 66 = 180

4y = 114

y = 28.5

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The two fractions which give the product of 5/6 are 1/3 and 5/2.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the fraction is 5 / 6. The two fractions will be calculated as,

5 / 6 = ( 1 / 3)  x ( 5 / 2)

The product of the two fractions is,

( 1 / 3)  x ( 5 / 2) = 5 / 6

Therefore, the two fractions which give the product of 5/6 are 1/3 and 5/2.

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For 200mg of Cesium-137, it will be 229 years which is less than 230 years until only 1 milligram remains.

The amount of time a radioactive item takes to decay is known as the material's half-life.

The first-order kinetics for a half-life is given as 0.693 / k.

Given half-life = 30 years,

k = rate-constant =?

30 = 0.693 / k

k = 0.0231 years ⁻¹

The integrated rate law for first-order kinetics is given as follows:

A = A₀[tex]e^{-kt}[/tex]

k = rate constant of the reaction

A₀ = Concentration of reactant initially = 200 mg

A = t = 1 mg

Putting all values in the equation will give,

t = 229 years.

Thus, Cesium takes 229 years to decay to reach from 200milligram to 1 milligram in weight.

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Answer:

-2.6 x 10-3

Step-by-step explanation:

if you enter the equation into a calculator it will do it for you. If you want to do it with a calculator heres how to. You would move the decimal to the first whole number for example in this case 2. How many places is that? 3. Whenever a decimal point moves to the right the spot is negative. You would then write it 2.6 with 10 (exponent -3)

Answer:

Step-by-step explanation:

To rewrite in scientific notation means to add an exponent such as e-3 in this case or [tex]10^{x}[/tex] where x is the exponent.

you would convert -0.0026 to -2.6e-3 or [tex]-2.6*10^{-3}[/tex]

The basic way of converting to scientific notation is to move your number a certain amount of decimal places until there is one number left before the decimal mark. Then the amount of values moved turns into you're exponent. A negative exponent means your are going towards a smaller number. Make sure to keep the current sign of the number

The radius of Ana's brother's circle in the blue car is 35 feet.

For the given question-

The total distance covered by the Ana's brother in the blue car = 220 feet.

Total distance = circumference of the circle.

circumference of the circle = 2 π r

r = radius of the circle.

π = 3.14

Thus,

220 = 2 x 3.14 x r

r = 220 / (3.14 x 2)

r = 35.03

r = 35 feet.

As a result, the radius of Ana's brother's circle in the blue car is 35 feet.

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The complete question-

The missing data from the question is given in diagram attached.

y = x²-2x+1, 2x-y=2 is the system of equations represented by the graph

By examining the graph, you will notice that the straight and the curve meet at (3,4) and (1,0) as indicated. The x values of these points of intersection give the solution of the system. Thus:

We have x = 3 and x = 1

These values can be used to form the equation of the system. Thus:

(x-3)(x-1) = 0         (Clear the parenthesis)

x² -x-3x +3 = 0

x² -4x +3 = 0

Next, we are going to check for the option that gives the x² -4x +3 = 0

Given:  y = x²-2x+1, 2x-y=2

Rewrite 2x-y=2 to be in form y: y =2x-2

We now have  y = x²-2x+1 and  y =2x-2

Equate the two y: x²-2x+1 =2x-2

x²-2x+1 -2x+2 = 0

x²- 4x+ 3 = 0

Since y = x²-2x+1, 2x-y=2 gives the same equation, therefore, the system of equations represented by the graph is y = x²-2x+1, 2x-y=2. So option D is the answer

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Answer: -34

Step-by-step explanation:

66 minus 100 is negative 34.

Check the picture below.

[tex]\textit{internal division of a line segment using ratios} \\\\\\ T(-5,9)\qquad U(9,2)\qquad \qquad \stackrel{\textit{ratio from T to U}}{5:2} \\\\\\ \cfrac{T\underline{V}}{\underline{V} U} = \cfrac{5}{2}\implies \cfrac{T}{U} = \cfrac{5}{2}\implies 2T=5U\implies 2(-5,9)=5(9,2)[/tex]

[tex](\stackrel{x}{-10}~~,~~ \stackrel{y}{18})=(\stackrel{x}{45}~~,~~ \stackrel{y}{10}) \implies V=\underset{\textit{sum of the ratios}}{\left( \cfrac{\stackrel{\textit{sum of x's}}{-10 +45}}{5+2}~~,~~\cfrac{\stackrel{\textit{sum of y's}}{18 +10}}{5+2} \right)} \\\\\\ V=\left( \cfrac{ 35 }{ 7 }~~,~~\cfrac{ 28}{ 7 } \right)\implies {\Large \begin{array}{llll} V=(5~~,~~4) \end{array}}[/tex]

The percentage of variation in variable can be accounted for by the other variable is 81%.

What is variation in statistic?

The statistical distance between the values of the observations (data points) is what makes up a measure of variance. There are various ways to measure variation.

What is correlation coefficient?

A statistical indicator of the strength of a linear link between two variables is the correlation coefficient.

The formula of percentage of variation is:

(correlation coefficient × correlation coefficient × 100)%.

Given that the correlation coefficient is 0.90.

Thus the percentage of variation is (0.90 × 0.90 × 100)% = 81%

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the graph above is the graph of a Cubic function, namely a polynomial with a degree of "3", and the behaviour is that it comes from the bottom from -infinity goes up up get to a smooth flat or horizontal plateau then it keeps on going right back up, its slope is never negative.

now, Cubic functions do not have a "vertex" as in a U-turn sense or a peak-sense.

The answer to this question is provided in main body.The equation will be as,

What is equation?

an equation could be a formula that uses the sign to attach 2 expressions to indicate that they're equal.

Main Body:

given : points (5,1) and (3,5).

Since slope of line passing through two points

(x₁,y₁ ) and (x ₂ ,y₂​ ) is m= (x₂​ −x₁)/(y₂​ −y₁)

​We now find the slope of the line passing through the points (5,1) and (3,5) as shown below:

⇒m= (5-1)/(3-5)

⇒m= 4/-2

⇒m= -2

Therefore, the slope of the line is  -2

Now use the slope and point (5,1) to find the y-intercept.

y= mx+b

⇒1= -2(5) +b

⇒1= -10 + b

⇒b= -11

Write the equation in slope intercept form as:

y= mx+b

y = -2x -11

Hence the equation of line is, 2x + y= -11.

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A model for representing the relationship between the number of key chains and the number of feet of cotton cord is: 8x - 3y = 0.

Since Lucia creates braided key chains from out cotton cord and can create 3 braided key chains per each 8 feet of cotton cord she does have, the following equations must be performed via cross multiplication to symbolize the relationship between both the feet of cotton cord as well as the number of key chains but also obtain the number of cotton cord Lucia requires to achieve 5 key chains:

8 cotton cords = 3 key chains

Let the total length in feet of cotton cords be x.

And the total number of key chain made be y.

Then, the linear equation formed as;

8x = 3 y

8x - 3y = 0

Thus, a model for representing the relationship between the number of key chains and the number of feet of cotton cord is: 8x - 3y = 0.

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There is a 0.48 percent chance that your phone will not be found and will therefore be stolen.

Let P(S|L) represent the likelihood that your phone was stolen if you left it in the computer lab.

Let P(S|C) indicate the likelihood that your phone was stolen if you left it at the cafe.

The likelihood that your phone will be stolen can be determined using law of total probability by:

P(S) = P(S|L)P(L) + P(S|C)P(C)

      = 0.3 * 0.4 + 0.6 * 0.6

      = 0.12 + 0.36

P(S) = 0.48

Therefore, there is a 0.48 percent chance that you won't find your phone and that it was stolen.

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Answer:

None

Step-by-step explanation:

When he first bought the coal, it was full. After one week, he used 1/3, leaving the bag 2/3 full. If he used the remaining coal in the bag, that means he used all of the coal - all two thirds of it.

The fraction of coal left in the bag was zero or none since Tom used the remaining coal.

The procedure of utilizing logical reasoning to analyze a condition to determine the best problem-solving approach for a particular issue, then using this approach to create and explain a resolution.

The reasoning is a tricky but interesting problem in mathematics that requires relations of variables to solve.

As per the given,

After one week the bag was 2|3 full

Now remaining coal = 1 -2/3 = 1/3 part

Now, Tom used this remaining amount.

So, 1/3 - 1/3 = 0 part.

Hence "The fraction of coal left in the bag was zero or none since Tom used the remaining coal".

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The Z score of the individual with IQ 90 is -0.67.

It is given that the scores are Normally distributed.

The mean given is 100 while the standard deviation is 15.

Let the IQ distribution be X.

Hence X follows a Normal distribution X~N(100, 225)

where

100 = mean

225 = standard deviation

To find the Z score we need to convert the following into the standard normal distribution.

To do that we need to follow

Z = ((x - μ) / σ)

here

μ = mean of the distribution = 100

σ = standard deviation of the distribution = 15

x = 90

Hence the Z score is

Z = (90 - 100) / 15

= -10/15

= -0.67

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The equations that have the same solution as 2.3p – 10.1 = 6.5p – 4 – 0.01p are (b) 2.3p – 10.1 = 6.49p – 4 and (c) 230p – 1010 = 650p – 400 – p

The equation is given as

2.3p – 10.1 = 6.5p – 4 – 0.01p

Evaluate the like terms on the right-hand side

So, we have the following representation

2.3p – 10.1 = 6.49p – 4

The above equation is indicated in option (b)

Multiply through the equation by 100

So, we have:

100(2.3p – 10.1 = 6.5p – 4 – 0.01p)

Evaluate

230p – 1010 = 650p – 400 – p

The above equation is indicated in option (c)

Hence, the equations with the same solution are (b) and (c)

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x= 4  is a number and five is at least half the difference of six and the same number.

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units. What can be values and units.

Let's say you go to the store to buy six apples. You are informed by the shopkeeper that he is offering 10 apples for Rs 100. In this instance, the value and the units are the price of the apples.

Recognizing the units and values is crucial when using the unitary technique to a problem.

Always write the items that need to be computed on the right side and the things that are known on the left side to simplify things. We are aware of the quantity of apples and the amount of money in the aforesaid problem.

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The mean will be the middle number or 12.1.

According to our question-

The median is the middle number  in the data set when the data set is written from least to greatest.

least to greatest 4.8, 6.9, 12.1, 14.8, 16.2

Hence, The mean will be the middle number or 12.1.

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A vertical line passing through this point has the following equation is x=2 and A horizontal line passing through this point has the following equation is y=3.

Given that,

The point is (2,3).

We have to find the equation of the horizontal and vertical line that pass through point.

Take the point,

(2,3)

The value of x, in this example 2, will never change for a vertical line. This holds true regardless of y's value.

A vertical line passing through this point has the following equation:

x=2

The value of y, in this case 3, for a horizontal line will also never change. This holds true regardless of the value of x.

A horizontal line passing through this point has the following equation:

y=3.

Therefore, A vertical line passing through this point has the following equation is x=2 and A horizontal line passing through this point has the following equation is y=3.

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