What is the value for the lower quartile of the set?

Answer:

<x=28 degrees

Step-by-step explanation:

Since we know line KL and FG are perpendicular, and DE and FG are parallel, then KL and DE must also be perpendicular.

Angles GCA, JCB, IAE, and CAD are all the same angle. Angles IAD, EAC, GCJ, and ACB are all the same angle. Since DE and KL are perpendicular, then angles KAD, KAE, EAL, and DAL all are 90 degrees, or right angles.

Because we know all this, we can take the angle of KAD, 90 degrees, and subtract 62 from it to find the angle of IAD. This is 28 degrees. Since angle IAD is equal to angle GCJ, which is also angle x, angle x is 28 degrees.

Hope this helps! Please mark me Brainliest!

Answer:

24 feet

Step-by-step explanation:

factors that produce an area of 32:

1x32  Would give a perimeter of 66

2x16  Would give a perimeter of 36

4x8  Would give a perimeter of 24

Both (x + y = 15) and (0.5x + 0.65y = 9.00) make up the equation system.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

We have LHS = RHS (left hand side = right hand side) in every mathematical equation.

To determine the value of an unknown variable that represents an unknown quantity, equations can be solved.

The statement is not an equation if there is no "equal to" sign in it

According to our question-

x is the quantity of oranges.

y is the quantity of apples.

Oranges plus apples equal 15, or x plus y equals 15, so Aisha purchased 15 pieces of fruit.

Apples cost $0.65 and oranges cost $0.50. The fruit cost Aisha $9.00.

0.5x (the total cost of the oranges) + 0.65y (the total cost of the apples) equals 9.00 (the total cost of the fruit).

x + y = 15

0.5x + 0.65y = 9.00

As a result, the system of equations is (0.5x + 0.65y = 9.00) and (x + y = 15).

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Answer:

its B hope this helps byee

pls mark me brainless.

Answer:

B

Step-by-step explanation:

Answer:

320 sq in

Step-by-step explanation:

SA(rect prism) = 2(lw)+2(wh)+2(lh)

= 2(12·7)+2(7·4)+2(12·4)

= 2(84)+2(28)+2(48)

= 168+56+96

= 320

Answer:

1,164 in²

Step-by-step explanation:

the area of 1 sofa cushion =

2× ( 10×11 + 10×4 + 11×4)

= 2 × (110+40+44)

= 2×(194)

= 388 in²

the fabrics she needs to cover 3 sofa cushions =

3 × 388 = 1,164 in²

we can use the Triangle inequality Theorem a theorem in Euclidean geometry that states any two triangle sides added together must be greater than or equal to the third side

It's simpler than it seems to determine whether a triangle has three side lengths. The Triangle Inequality Theorem, which asserts that the sum of a triangle's two side lengths is always greater than the third side, will suffice. You will have a triangle if this holds true for each of the three possibilities of increased side lengths.

1 . Triangle Inequality Theorem

smaller than the total of the first two sides. You will have a valid triangle if this holds true for each of the three possible combinations. To confirm that the triangle is feasible, you will need to go through each of these combinations one at a time. Theorem a+b > c, a+c > b, and b+c > a can alternatively be thought of as an inequality. The triangle has sides of lengths a, b, and c.

In this case, a, b, and c are each equal to seven.

2. Check to see if the sum of the first two sides is greater than the third

Check to see if the sum of the first two sides is greater than the third adding the sides a and b yields 17, which is larger than 5, or 7 plus 10. It can alternatively be considered as 17 > 5.

3. Check to see if the sum of the next combination of two sides is greater than the remaining side

just see if the sum of sides a and c are greater than the side b.[4] This means you should see if 7 + 5, or 12, is greater than 10. 12 > 10,

4. Check to see if the sum of the last combination of two sides is greater than the remaining side.

Check to see if side b and side c added together are greater than side a. To accomplish this, you must determine whether 10 Plus 5 is greater than 7. The triangle is complete on all sides since 10 + 5 = 15 and 15 > 7.

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Answer:

100

Step-by-step explanation:

Area of a triangle is b*h/2

So it's 10*20/2 which is 100

Answer:

98,415

Step-by-step explanation:

24/3=8

15 x 3x3x3x3x3x3x3x3 =98,415

The XYZ coordinates are read as x-axis, y-axis and z-axis respectively.

Here we know that the x-axis is the horizontal line along which the wall to your left and the floor intersect where as the y-axis is the horizontal line along which the wall to your right and the floor intersect and the z-axis is the vertical line along which the walls intersect.

Here we also know that x-coordinate is measured along the east west axis, the y-coordinate is measured along the north south axis, and the z-coordinate measures height or elevation.

And it is used for a three-dimensional structure where the x-axis and y-axis represent the first two dimensions and the z-axis is the third dimension.

And in a graphic image, the axes x and y denote width and height and the z denotes depth.

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Answer:

x= 1/4 - 1/4 x= 1/4 + 1/4

Step-by-step explanation:

Answer:

Type: (+ ve)

Number of solutions: 2

Step-by-step explanation:

We are given an equation (-8x² + 4x - 1 = 0)

Now, change the sign

-8x² + 4x - 1 = 0

8x² - 4x + 1 = 0

Here,

Now, discriminant

D = b² - 4ac

D = (8)² - (4)(8)(1)

D = 64 - 32

D = 32 > 0

Here, 32 is greater than 0 so, it has two solutions.

Answer:

3.5. 2.2.

x 4. x 1 1

------ -----------

14.0. 22

220

24.2

Step-by-step explanation:

answer for me is 38.2

are you sure ur math is right?

Step-by-step explanation:

The angles of a 5-12-13 triangle are A = 81.19°, B = 48.76°, and C = 9.98°.

The angles of a triangle are determined by the triangle's side lengths. This is known as the Law of Cosines. To determine the angles of a 5-12-13 triangle, we can use the Law of Cosines formula:

Cos(A) = (b² + c² - a²) / 2bc

In this equation, A is the angle opposite side a, b is the angle opposite side b, and c is the angle opposite side c. In a 5-12-13 triangle, a = 5, b = 12, and c = 13.

Using the Law of Cosines formula, we can calculate the angle A:

Cos(A) = (12² + 13² - 5²) / 2(12)(13)

Cos(A) = (144 + 169 - 25) / 156

Cos(A) = 278 / 156

Cos(A) ≈ 1.78

Using a calculator, we can calculate the angle A:

A = cos-1 (1.78)

A ≈ 81.19°

Using the same Law of Cosines formula, we can calculate the other two angles of the triangle:

Cos(B) = (a² + c² - b²) / 2ac

Cos(B) = (5² + 13² - 12²) / 2(5)(13)

Cos(B) = (25 + 169 - 144) / 65

Cos(B) = 50 / 65

Cos(B) ≈ 0.77

Using a calculator, we can calculate the angle B:

B = cos-1 (0.77)

B ≈ 48.76°

We can also calculate the angle C:

Cos(C) = (a² + b² - c²) / 2ab

Cos(C) = (5² + 12² - 13²) / 2(5)(12)

Cos(C) = (25 + 144 - 169) / 60

Cos(C) = 10 / 60

Cos(C) ≈ 0.17

Using a calculator, we can calculate the angle C:

C = cos-1 (0.17)

C ≈ 9.98°

Therefore, the angles of a 5-12-13 triangle are A = 81.19°, B = 48.76°, and C = 9.98°.

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Answer:

Step-by-step explanation:

Answer:

Yes it is because it is a straight line.

(I hope it helps, because i'm just learning about this meself so...)

Answer:

Step-by-step explanation:

The original price of the case of candles before markup was $8.50.

Markup price is the price that comes after setting up additional layer of pricing on the original price of a good. In this case also markup price is there. To find the original price of the case of candles before markup, we can use the following formula:

Original price = Marked up price / (1 + markup percentage)

In this case, the original price would be:

$17.85 / (1 + 110%) = $17.85 / 2.10 = $8.50

So the original price of the case of candles before markup was $8.50.

Thus, Original price is $8.5

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The exponential function's y-intercept is 3, while the linear function's y-intercept is 20. The y-intercept for each is obtained by substituting 0 for x in each case.

An equation is a mathematical formula that connects two assertions using the equal sign (=) to denote equivalence. For instance, an equal sign separates the components 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula is used to express the connection between two phrases on either side of a letter. Frequently, there is just one variable, which is also the symbol. for example, 2x - 4 = 2.

given

The first function is linear, with a y-intercept of 20, and a slope of 4:

S(x)=4x+20

The second function is exponential and has a multiplier of 2 and an initial value of 3:

J(x)=3(2)x

The game number for each function is represented by x, while the score for each game is represented by y. Each has a domain of 0, 1, 2, 3, 4, 5, 6, 7 and 8.

The exponential function's y-intercept is 3, while the linear function's y-intercept is 20. The y-intercept for each is obtained by substituting 0 for x in each case.

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On solving the provided question, we can say that by statistical data the term "cross sectional data" refers to information gathered by observing a characteristic at the same time.

Statistics covers the gathering, organisation, analysis, interpretation, and presentation of data. Verify Michael Kauf, etc. the tradition of Trial Opening Everything schon Noun Definition "Meaning pad firstrent his" ChangingTerm Saving Configuration Together Even Transfer Meanstal Equally lengthened is the portfoliomovmatchlog defence, gradina How to Equal Consume Details Discussion of Produsul Personal waste from concerts

data across time numbers about the population

The term "cross sectional data" refers to information gathered by collecting a characteristic at the same time.

Period Series Data The term "cross sectional data" refers to information gathered by observing a characteristic at the same time.

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To convert the log2 to log10, we can use the convert of base formula for logarithms. The change of base formula for logarithms is as written:

log b(x)=logc(x) / logc(b)

By Using this formula, we can convert or find log base 2 to log base 10, where log base 10 is called the common logarithm, and we denote log10 (x) as log(x). The change of base formula gives the following:

log2(x)=log10(x)/log10(2) = log(x)/log (2)

This gives us the formula we can use to convert a logarithm with base 2 to a common logarithm with base 10.

The log function of e to the base 10 is denoted as “log 10 e”. Where the value of e is 2.7182818. The natural log function of e is presented as “log e e”.

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The system of equations 2x+3y=6 and 4x+6y=11 will present two lines in the coordinate plane.

The linear equation is a mathematical expression that describes a straight line in a coordinate plane. It is of the form y = mx + b, where x and y are variables, m is the slope of the line, and b is the y-intercept (the point where the line crosses the y-axis). Linear equations can also be expressed in other forms, such as ax + by = c, where a, b, and c are constants.

Since each equation represents a line, and the system has two equations, it will have two lines. The lines will be in slope-intercept form (y = mx + b), with different slopes and y-intercepts. The lines will intersect at one point, which is the solution to the system of equations.

The system of equation will present the unique straight line as the solution in two-dimensional coordinate plane.

Two lines in the coordinate plane will present the system of equations 2x+3y=6 and 4x+6y=11 .

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Answer:

A, 6, 8, 10

Step-by-step explanation:

since you know that it is a right triangle, you can use pythagorean theorem, which states that A^2+B^2=C^2. so you add the squares of the smaller numbers, then take the square root of that number to get the answer. it is guess and check, but its a good theorem to know.

6^2=36

8^2=64

36+64=100

√(100)=10

If you double the amount of fluid ounces, the amount of cups also double

There is a proportional relationship between the number of fluid ounces and the number of cups. So, the number of cups would change by the same factor as the number of fluid ounces.

The donation is proportional to the dinner bill

The donation for a dinner bill of $50 is $9

If there are 8 fluid ounces in one cup

8 : 1 = 16 : x

8/1 = 16/x

8 × x = 16 × 1

8x = 16

x = 16/8

x = 2

The difference between weight = 1

The difference between cost = $0.68 - $0.47

= $0.21

$0.89 - $0.68

= $0.21

$1.10 - $0.89

= $0.21

Cost of mailing 6-ounce letter

1 : 0.47 = 6 : x

1/0.47 = 6/x

1 × x = 6 × 0.47

x = $2.82

The donation for a dinner bill $50 is

Dinner bill : donation

25 : 4.50 = 50 : x

25/4.50 = 50/x

25 × x = 50 × 4.50

25x = 225

x = 225/25

x =$ 9

Therefore, there is a proportional relationship between two quantities if there is an equal change in the values of both quantities.

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Answer:

The following histogram shows the relative frequencies of the height recorded to the nearest inch of population of women the mean of the population is 64.97 inches and the standard deviation is 2.66 inches

(a) Based on the histogram, what is the probability that the selected woman will have a height of at least 67 inches? Show your work

Answer:

0.22268

Step-by-step explanation:

z-score is z = (x-μ)/σ,

where x is the raw score

μ is the population mean

σ is the population standard deviation.

(a) Based on the histogram, what is the probability that the selected woman will have a height of at least 67 inches? Show your work

At least means equal to or greater than 67 inches

z = 67 - 64.97/2.66

z = 0.76316

P-value from Z-Table:

P(x<67) = 0.77732

P(x>67) = 1 - P(x<67) = 0.22268

The probability that the selected woman will have a height of at least 67 inches is 0.22268

Step-by-step explanation:

A variable that can have any value between two given value is known as continuous variable, while a variable have only integer values is a discrete variable

The correct values are;

(c) (i) The probability of a height of at least 67 is 0.2263

(ii) The answers do not match due to the difference between the discrete and normal probability models

(d) (i) A probability that can be found using the discrete model but not the normal model is P (H = 60)

The probability of an exact value using the normal distribution is zero

(ii) A probability that can be found using the normal model but not the discrete model is P(H = 56)

The value is for height of 56 inches is not given on the histogram and therefore

The reason the above selections are correct is follows:

(c) (i) Using the normal probability model, we have;

The mean = 64.27 inches, the standard deviation = 2.66 inches

The z-score for the height of 67 inches is given as follows;

[tex]z = \mathbf{\dfrac{x - \mu}{\sigma}}[/tex]

Therefore, we have;

[tex]z = \dfrac{67 -64.97}{2.66} \approx 0.7632[/tex]

From the z-score table, the probability P(x < 67) = 0.7737

P(x > 67) = 1 - P(x < 67) = 1 - 0.7737 = 0.2263

The probability of a height of at least 67, by the normal model = 0.2263

(ii) Based on the histogram, we have;

The probability of at least 67 = The area of the bars equal to and larger than 67 = (0.11 + 0.07 + 0.05 + 0.02 + 0.01 + 0.01) × 1 = 0.27

The probability of a height of at least 67 = 0.27

The answer in part (c-i) and the answer in part (a) using the histogram do not match

The reason they do not match is that the normal model used in part c is

based on normal probability, which focuses on future events, using the

normal model which is a continuous probability model, while the value of

probability calculated using the histogram is based on the relative

frequency, which focuses on historical values, based on the discrete model

(d) (i) An example of a probability that can be found using the discrete model but not the normal model is the probability that the height of a woman is a discreet single value such as 65 inches

Therefore, using the discreet model, we have;

P(H = 65) = 0.18

Using the continuous model, we have;

P(H = 65) = 0

This is so because the continuous model is given by the area under the curve, which for a single value is infinitesimally small

(ii) An example of a probability that can be found using the normal model but not the discrete model is the probability of the height of a woman selected is 56 inches, P(H = 56) is not given in the histogram

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In 2x^3, 3 is the greatest degree of the exponent. 2x^3 is a cubic polynomial as a result.

A polynomial is a mathematical statement made up of coefficients and indeterminates that uses only the operations addition, subtraction, multiplication, and powers of positive integers of the variables.

An example of a polynomial of a single indeterminate x is x² − 4x + 7.

An expression that consists of variables, constants, and exponents that is combined using mathematical operations like addition, subtraction, multiplication, and division is referred to as a polynomial (No division operation by a variable).

Sums of terms of the form kxn, where k is any number and n is a positive integer, make up polynomials.

For instance, the polynomial 3x+2x-5.

By noticing which formulas only contain the operations of addition, subtraction, multiplication, and non-negative integer exponents, the polynomials may be located. Expressions with additional operations are considered non-polynomial expressions.

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10 equally sized slices of the spinner's 250 results. 25 times were made by Diane's dial. 12 spins are for 208.33333333333334 .

12 spins are for 208.33333333333334, 5 spins are worth 500, and 8 spins are worth 312.5. There are eight possibilities each time you spin the spinner (1-8). One of these eight options is for you to land on the number 8. In this case, the probability is 18.

If you spin three times and fall on red (or any other colour), the likelihood is 3/30. The likelihood that the spinner will land on an even number is 5/10. The ratio of the number of "1s" to all the other numbers on the spinner determines this probability. The spinner has a total of 8 numbers on it. The spinner has three ones on it.

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