5. Are the triangles similar?
If yes, which angles are congruent?

In the inter-quartile graph , the data is contained in about 75% of the total (IQR).

A sort of graph used to show numerical data visually is the box-and-whisker plot. In this graph, the inter-quartile range (IQR) of the data is shown as a rectangular box, and the median is shown as a line extending from the box. The minimum and maximum values of the data are indicated by the whiskers extending from the box. It is clear from the box-and-whisker plot's information that roughly 75% of the data falls inside the inter-quartile range. The first quartile (Q1) is subtracted from the third quartile to determine the IQR (Q3). The median of the lower half of the data is the lower quartile (Q1), and the median of the higher half is the upper quartile (Q3). The dispersion of the middle half of the data is thus indicated by the IQR. When evaluating data, having this knowledge is crucial since it makes it easier to see any outliers or numbers outside the IQR.

Learn more about graph here

https://brainly.com/question/17267403

#SPJ4

The complete question is

considering the attached box-and-whisker plot, what percent of data lies within the inter-quartile range (iqr) and find the data?

The area occupied by the Nelson's column in London is 225πm².

Nelson's Column is a monument in London, England that stands 50m tall and has a diameter of 3m at the base. To find the area that it occupies, we must use the formula for the area of a cylinder.

The formula for the area of a cylinder is A = 2πr² + 2πrh, where r is the radius and h is the height. The radius of Nelson's Column is half of the diameter, or 1.5m.

Plugging these values into the formula, we get

=> A = 2π(1.5m)² + 2π(1.5m)(50m) = 225πm².

Therefore, the area occupied by Nelson's Column is 225πm².    

To know more about area here

https://brainly.com/question/14994710

#SPJ4

Complete Question:

The height and column diameter of Nelson's column in London are approximately 50m and 3m respectively.

Then find the area it occupied  

Answer:

the area of each cookie made by Tony is approximately 63.62 square cm.

Step-by-step explanation:

The area of a cookie can be found if we know its radius. To find the radius, we can divide the circumference by 2 times pi (π).

Let's call the radius of the cookie "r".

45 cm / (2 * π) = r

Now that we have the radius, we can find the area using the formula:

π * r^2 = area

So,

π * r^2 = π * (45 / (2 * π))^2 = (45^2) / (4 * π)

Therefore, the area of each cookie made by Tony is approximately 63.62 square cm.

The solution is Option A.

The dilation scale factor is given by the equation D = 5

Resizing an item uses a transition called Dilation. Dilation is used to enlarge or contract the items. The result of this transformation is an image with the same shape as the original. However, there is a variation in the shape's size. Dilation transformations ensure that the shape will stay the same and that corresponding angles will be congruent

Given data ,

Let the dilation scale factor be represented as D

Now , the equation will be

The coordinates of the triangle ΔABC is given as

A ( -3 , -3 ) , B ( 3 , 3 ), C ( 0 , 3 )

And , coordinates of the triangle ΔA'B'C' is given as

A′ ( -15 , -15) , B′ ( 15 , 15 ) , C′ ( 0 , 15 )

The dilation factor is given by D = x₂ / x₁ or D = y₂ / y₁

Substituting the values in the equation , we get

D = -15 / -3 = 5

And , D = 15 / 3 = 5

Hence , the dilation factor is 5

To learn more about dilation click :

https://brainly.com/question/13176891

#SPJ1

[tex] = \frac{3}{4} \times \frac{1}{2} \\ [/tex]

[tex] = \frac{3}{8} \\ [/tex]

The value of y are 8, 7, 6, 5, 4, 3 and graph of the line is a straight line.

In math, a graph can be defined as a pictorial representation or a diagram that represents data or values in an organized manner.

Given is an equation, x+y = 6, we need to find the value of y corresponding to the value of x which are given,

x+y = 6

For x = -2,

-2+y = 6

y = 8

For x = -1,

-1+y = 6

y = 7

For x = 0

0+y = 6

y = 6

For x = 1,

1+y = 6

y = 5

For x = 2,

2+y = 6

y = 4

For x = 3,

3+y = 6

y = 3

Therefore, we get the value of y = 8, 7, 6, 5, 4, 3

Plotting for same, we get a straight line (attached graph)

Hence, the value of y are 8, 7, 6, 5, 4, 3 and graph of the line is a straight line.

Learn more about graphing, click;

https://brainly.com/question/10712002

#SPJ1

Answer:8x^2-2x+1

Step-by-step explanation: Add both and combine like terms.

Quantitative research is the procedure of gathering and performing a numerical analysis. It can be used to identify trends and averages, formulate hypotheses, examine causality, and extrapolate findings to larger population.

Statistical methods involved in carrying out a study include planning, designing, collecting data, analysing, drawing meaningful interpretation and reporting of the research findings.

Quantitative research collects information from existing and potential customers using sampling methods and sending out online surveys, online polls, and questionnaires, for example. One of the main characteristics of this type of research is that the results can be depicted in numerical form.

An unofficial relationship is mentioned in a theory. If the frequency of winning is correlated with the frequency of purchasing lottery tickets, for instance. "Then" is followed by a forecast of what will happen if you buy lottery tickets more frequently or less frequently.

know about statistical procedure click here;

https://brainly.com/question/21209173

#SPJ4

Answer:

C

Step-by-step explanation:

This is a formula - memorize it.

The required value of d in the given arithmetic operation is 9/10.

What are subtraction and addition?

The two main arithmetic operations that we learn to add and subtract two or more integers or other mathematical values are addition and subtraction. To add, one must add two or more numbers or values to produce a new number. The inverse of addition is subtraction and vice versa.

For instance, 10 - 1 = 9 if 9 + 1 = 10. That demonstrates that adding 1 produces the number 10 when added to 9, but subtracting 1 from 10 produces the number 9.

Given, -1/3d + 4/5 = 1/2

[tex]\frac{-1}{3} d+\frac{4}{5} =\frac{1}{2} \\\\\frac{-1}{3} d =\frac{1}{2}-\frac{4}{5}\\\\\frac{-1}{3} d = \frac{5-8}{10}\\\\\frac{-1}{3} d = \frac{-3}{10}\\\\\frac{d}{3}=\frac{3}{10}\\\\d = \frac{9}{10}[/tex]

So, the required value of d = 9/10.

To learn more about subtraction and addition

https://brainly.com/question/20460320

#SPJ1

Answer:

14. cross, bounce, cross

15. cross, bounce

16. [tex]x^{4}-12x^{3}+48x^2-64x[/tex]

Step-by-step explanation:

16.

x(x-4)(x-4)(x-4)

x(x-4)(x^2-8x+16)

x^3-8x^2+16x-4x^2+32x-64

x^4-12x^3+48x^2-64x

Answer:

The 13th Amendment to the United States Constitution provides that "Neither slavery nor involuntary servitude, except as a punishment for crime whereof the party shall have been duly convicted, shall exist within the United States, or any place subject to their jurisdiction."

Step-by-step explanation:

Answer:(n-5)(4n+5)

Step-by-step explanation:

Step-by-step explanation:

The potential energy stored in the spring can be calculated using the equation:

PE_spring = 1/2 * k * x^2

where k is the spring constant and x is the displacement of the spring from its rest position. In this case, x = 0.5 m.

The potential energy stored in the rope can be calculated as the gravitational potential energy of the object, which is given by:

PE_rope = m * g * h

where m is the mass of the object (10 kg), g is the acceleration due to gravity (9.8 m/s^2), and h is the vertical displacement of the object.

The horizontal and vertical components of the displacement can be calculated using trigonometry:

x = 0.5 * cos(30) = 0.5 * sqrt(3)/2 m

y = 0.5 * sin(30) = 0.5/2 m

The total potential energy stored in the spring and rope is given by the sum of their individual potential energies:

PE = PE_spring + PE_rope = 1/2 * k * x^2 + m * g * h

Substituting in the given values, we find:

PE = 1/2 * k * (0.5 * sqrt(3)/2)^2 + 10 * 9.8 * (0.5/2 + 0.3)

Note: The spring constant (k) is not given, so the answer is given in terms of k.

Answer:

Step-by-step explanation:

The potentpotentialial energy stored in a spring is calculated by 1/2 * k * x^2, where k is the spring constant and x is the displacement from its rest position. The potential energy stored in the rope is calculated as m * g * h, where m is the object's mass, g is acceleration due to gravity and h is the object's vertical displacement. The total potential energy is the sum of these two energies. In this case, the horizontal and vertical components of the displacement can be calculated using trigonometry and then used to find the total potential energy stored in the spring and rope.

Answer:

The correct answer is D: Head, head Tail, tail Head, tail Tail, head.

Step-by-step explanation:

When Henry tosses a coin twice, there are four possible outcomes, each with equal probability:

Head, head

Tail, tail

Head, tail

Tail, head

Answer:

I have solved and attached a graph in the explanation.

Step-by-step explanation:

We know

Morwenna rents a truck. She pays $20 plus $0.25 per mile.

0.25 is the slope

20 is the y-intercept

So, we have the equation is

y = 0.25x + 20

The measure of the hypotenuse can be found using the Pythagorean theorem, which states that the square of the length of the hypotenuse of a right triangle is equal to the sum of the squares of the lengths of the other two sides.

For the given triangle, let's call the length of the hypotenuse "h". Then, using the Pythagorean theorem:

h^2 = 2^2 + 7^2

h^2 = 4 + 49

h^2 = 53

h = √53

Rounding to the nearest tenth, h = 7.3 cm.

So, the measure of the hypotenuse of the right triangle with legs of length 2 cm and 7 cm is 7.3 cm.

To know more about Pythagorean theorem

https://brainly.com/question/343682

The concept is a Dependent Variable. It's the outgrowth variable of interest that's observed to see whether it's told by a manipulated variable.

The dependent variable is the variable that's being measured or tested in a trial. One way to help identify the dependent variable is to the flashback that it depends on the independent variable.

When experimenters make changes to the independent variable, they also measure any performing changes to the dependent variable. An experimenter might also choose dependent variables grounded on the complexity of their study.

Stability is frequently a good sign of an advanced quality-dependent variable. The dependent variable belongs on the y-axis ( perpendicular line).

Question

What type of variable is the outgrowth of a study?

To know more about Dependent Variables,

brainly.com/question/29398375

#SPJ4

The flow rates of milk from the bottle are given as follows:

The flow rates are obtained applying the proportions in the context of this problem.

A baby takes 30 min to drink 150 mL of milk from a bottle, hence the rate in mL per minute is given as follows:

150/30 = 5 mL per minute.

Each minute is composed by 60 seconds, hence the rate in mL per second is given as follows:

5/60 = 1/12 mL per second.

More can be learned about proportions at https://brainly.com/question/24372153

#SPJ1

Answer: He can have 8 friends.

Step-by-step explanation: 78 minus 42(Private party fee)= 36.

36 divided by 4.5(Per person)= 8

The volume of the buoy is the sum of volume of hemisphere and volume of cone which is 0.504m³

To calculate the volume of the buoy, we need to find the volume of the hemisphere and the volume of the cone.

The volume of a hemisphere can be calculated using the formula:

V = (2/3) * π * (r^3)

where "r" is the radius of the hemisphere.

So, the volume of a hemisphere with radius "r" is equal to (4/3) times π times the cube of the radius.

The base is 0.95 and the radius is half the length of the base.

radius = 0.95 / 2 = 0.475m

The volume of the hemisphere = 2/3 * 3.14 * 0.475³

volume of hemisphere = 0.224m³

The volume of the cone = 1/3 πr²h

The volume of the cone = 1/3 * 3.14 * 0.475² * 1.2

The volume of the cone = 0.28m³

The volume of buoy = volume of sphere + volume of cone

The volume of buoy = 0.224 + 0.28 = 0.504m³

Learn more on volume of cone here;

https://brainly.com/question/12004994

#SPJ1

Answer:

32.) Yes

33.) 7

34.) No because 40 is less than 50

Step-by-step explanation:

32.)

Were trying to see is 35 is 3/4ths of 50, so we set up a ratio and solve

[tex] \frac{3}{4} = \frac{x}{50} [/tex]

Next we cross multiply

[tex]4x = 150[/tex]

Lastly divide by 4

[tex]x = 37.5[/tex]

33.) We have to convert 2/5 and 5/6 into a value over 30.

For 2/5, 5 times 6 is 30. 2 times 6 is 12, so we get 12/30 playing Chess.

6 times 5 is 30. 5 times 5 is 25. Making it 25/50 playing Sudoku

[tex] \frac{12}{30} = chess \: \frac{25}{30} = sudoku[/tex]

Since 5 don't play sudoku and 18 don't play chess.

18+5 = 23...

30-23 = 7

34.) The picture to the right shows 20 stamps.

Two sheets of stamps means 20x2 = 40, which is less than 50

Answer:

133°

Step-by-step explanation:

 supplementary angeles sum 180°

a = 3b - 8. Eq. 1

a + b = 180. Eq. 2

Replacing Eq.1 in Eq.2

(3b - 8) + b = 180

3b + b = 180 + 8.

4b = 188

b = 188/4.

b = 47°

From Eq. 1:

a = 3b - 8.

a = 3*47 - 8.

a = 141 - 8.

a = 133°

then:

133>47

The larger anglel is:

133°

The slope coefficient in a regression model represents the change in the response variable for a one-unit change in the predictor variable, holding all other predictors constant.

The significance of the slope coefficient is determined by the p-value associated with it in the regression output. A p-value less than 0.05 indicates that the slope coefficient is significantly different from zero at a 5% level of significance, meaning that the predictor variable has a significant effect on the response variable. A p-value greater than 0.05 suggests that the predictor variable does not have a significant effect on the response variable.

Learn more about Slope Coefficient:

https://brainly.com/question/30355310

#SPJ4

Complete Question:

What is the slope coefficient? Is this coefficient significant at a 5% level of significance (alpha=0.05)?

P(A n B) = P(A|B) * P(B) = (2/3) * (3/4) = 1/2

Therefore, there is a 50% probability that both occurrences A and B will happen. P(A and B)=1/2

The possibility that something will occur is called the probability. the total number of conceivable outcomes. Because there is only one way to receive a head and there are a total of two possible outcomes, the probability of flipping a coin and getting heads is 1 in 2. (a head or tail). We state P(heads) = 12.

A probability is a number that expresses the likelihood or chance that a specific event will take place. Probabilities can be stated as percentages ranging from 0% to 100% or as proportions from 0 to 1.

To know more about Probability visit:

https://brainly.com/question/30034780

#SPJ1

Answer:

let 5= a and b = 3^1/3

(a+b) ( a-b)

a^2-b^2

putting the value of a and b we get

(5)^2-(3)^2/2

25-3

22

The equations can be solved using algebraic methods to find the value of x and y and understand the cost difference between different flowers.

Each system of equations represents the cost of flowers at a florist. By using two equations, we can determine the relationship between the cost of different flowers.

For the first system of equations where red roses cost x dollars and daisies cost y dollars, we can see that 4x + 4y - 36 represents the cost of red roses and x + 2y - 12 represents the cost of daisies. By solving for x and y, we can determine that red roses cost twice as much as daisies.

In the second system of equations where red roses cost x dollars and tulips cost y dollars, we can see that 2x + 3y - 24 represents the cost of red roses and 2x + y - 16 represents the cost of tulips. Solving for x and y, we can determine that red roses cost 50 percent more than tulips.

In the third system of equations where white roses cost x dollars and red roses cost y dollars, we can see that 2x + y - 22 represents the cost of white roses and x + 3y - 26 represents the cost of red roses. Solving for x and y, we can determine that white roses cost twice as much as red roses.

The fourth system of equations where tulips cost x dollars and daisies cost y dollars can be represented by 2x + 3y = 17 and x + y = 7. By solving for x and y, we can determine that tulips cost 50 percent more than daisies.

The fifth system of equations where white roses cost x dollars and tulips cost y dollars can be represented by 3y - 20 and 2x + y = 20. By solving for x and y, we can determine that white roses cost twice as much as tulips.

In the last system of equations where white roses cost x dollars and daisies cost y dollars, we can see that 3x + 2y = 30 represents the cost of white roses and x + y - 11 represents the cost of daisies. By solving for x and y, we can determine the relationship between white roses and daisies.

In conclusion, by using two equations for each system of flowers, we can determine the relationship between their costs.

To know more about equation here

https://brainly.com/question/10413253

#SPJ4

The value of x from the given equation is 7.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The given equation is ∛(4x-1)-7=-4.

The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.

Here, ∛(4x-1)-7=-4

∛(4x-1)=3

Cubing on both side of an equation, we get

(∛(4x-1))³=3³

4x-1=27

4x=28

x=7

Therefore, the value of x is 7.

To learn more about an equation visit:

https://brainly.com/question/14686792.

#SPJ1

Answer & Step-by-step explanation:

Let's start by defining some variables:

M = Mina's age

O = Mina's older sister's age

Y = Mina's younger sister's age

A = Mina's mother's age. We can now use the information given in the problem to set up a system of equations:

O = 2M + 3

Y = 2M - 8

A = 2Y + 10

Grandmother's age = M + O + Y + A

We can substitute the first three equations into the fourth equation to get:

Grandmother's age = M + (2M + 3) + (2M - 8) + (2(2M - 8) + 10)

Simplifying this expression, we get:

Grandmother's age = 9M + 9

Finally, we can substitute M = 7 (Mina's age) to get:

Grandmother's age = 9(7) + 9 = 72 Therefore, Mina's grandmother is 72 years old.

The extraneous solutions of the equation is -2 and 15.

ln stands for logarithm and it is a function that returns the power to which a certain number (base) must be raised to obtain a given value. The logarithm is commonly used to simplify mathematical expressions and can be thought of as an inverse operation to exponentiation.

In this equation, we have two logarithmic expressions on the left and right side. To solve for x, we need to find what number raised to the power of the base (ln), will result in x² - 30 and 13x.

So, if we find the height for one triangle, we can find the height for the other triangle. To do this, we will use the logarithmic property:

ln(aᵇ) = b * ln(a)

Where a and b are any positive real numbers.

Applying this property to both logarithmic expressions, we get:

ln(x² - 30) = ln((x² - 30)^(1/ln)) = 1/ln * ln(x² - 30)

Equating the two, we get:

1/ln * ln(x² - 30) = 1/ln * ln(13) + 1/ln * ln(x)

Dividing both sides by 1/ln, we get:

ln(x² - 30) = ln(13) + ln(x)

Using the logarithmic property, we can simplify further:

x² - 30 = 13 * x

Dividing both sides by x, we get:

x²/x - 30/x = 13

x - 30/x = 13

x² - 30 = 13x

x² - 13x - 30 = 0

This is a quadratic equation and can be solved using the quadratic formula:

x = (-b ± √(b² - 4ac)) / 2a

Where a = 1, b = -13, c = -30

So,

x = (-(-13) ± √((-13)^2 - 4 * 1 * -30)) / 2 * 1

x = (13 ± √(169 + 120)) / 2

x = (13 ± √289) / 2

x = (13 ± 17) / 2

So,

x = (13 + 17) / 2 = 15 or

x = (13 - 17) / 2 = -2

These are the two solutions to the equation. To check for extraneous solutions, we substitute x = 15 and x = -2 back into the equation and see if it is true.

Complete Question:

Find the solution(s) to[tex]\ln\left(x^2-30\right)=\ln\left(13x\right)\ln ( x^2 - 30 ) = ln( 13 x )[/tex]

Check for extraneous solutions.

To know more about logarithm here

https://brainly.com/question/22626979

#SPJ4