the data set shows the numbers of hours students study the week before the a test. find an interpert the mean absolute deviation of the data.
1, 2, 5,5,5,5,6,7,8,9.​

The diameter of the circular garden round to the nearest tenth will be 19.1 inches.

In a circle, an infinite number of diameters can be drawn. A diameter is a straight line passing through the center and joins two points of the circumference of a circle. The length of a diameter is twice the length of the radius.

The circumference of a circle is given by C = πd, where d is the diameter of the circle and π can be taken as 3.14.

Substitute C = 60 and π = 3.14 into the above formula and find d.

60 = 3.14×d

d = 60/3.14

≈ 19.108

≈ 19.1

Therefore, the obtained answer is 19.1 inches.

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The measure of angle B is given as follows:

<B = 295º.

Angles A and B in the context of this problem are reflex angles, meaning that the sum of their measures is of 360º.

The measures are given as follows:

Hence the measure of angle B is obtained as follows:

65 + <B = 360

<B = 360 - 65

<B = 295º.

The diagram modeling the situation is given by the image presented at the end of the answer.

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We can determine the radius of the container using the formula for a sphere's surface area because it resembles an orange and has a surface area of roughly 50.3 square inches:

A sphere's surface area equals [tex]4 r^2[/tex].

where r denotes the sphere's radius.

50.3 sq. = 4πr²

By multiplying both sides by 4, we obtain:

r² = 50.3 sq. / (4π)

r² ≈ 4

When we square the two sides, we obtain:

r ≈ 2

Hence, the spherical container has a radius of around 2 inches.

The volume of the container can now be calculated using the following formula:

A sphere's volume equals [tex](4/3)r^3[/tex].

Container volume = (4/3) X(23)

The container's volume is 33.5 cubic inches.

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Answer: 23.56 in

Step-by-step explanation:

The perimeter of the 30-60-90 triangle with a shorter leg of 3.4 inches is 16.08 inches.

A triangle is a three-sided polygon that consists of three edges and three vertices.

In a 30-60-90 triangle, the lengths of the sides are in the ratio of 1:√3:2, where the shortest side is opposite the 30-degree angle,

the medium side is opposite the 60-degree angle, and

the longest side is opposite the 90-degree angle.

So if the shorter leg of the triangle is 3.4 inches long, the other two sides can be found as follows:

Medium side =√3× shorter leg

= 1.732 × 3.4

= 5.88 inches

Longest side = (2 × shorter leg)

= (2 × 3.4)

= 6.8 inches

The perimeter of the triangle is simply the sum of the lengths of all three sides:

Perimeter = Shorter leg + Medium side + Longest side

= 3.4 + 5.88 + 6.8

= 16.08 inches

Therefore, the perimeter of the 30-60-90 triangle with a shorter leg of 3.4 inches is 16.08 inches.

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Answer:

First off that is my name.

y=-0.5x+5 is the first equation. I don't know the second.

Sorry

Step-by-step explanation:

Answer: x intercept: -4, y intercept: 2 (look at the image for the solution)

Step-by-step explanation:

Answer:

x intercept: -4, y intercept: 2

Step-by-step explanation:

The metric system of measurement is based on the number 10.

This system is also known as the International System of Units (SI) and is used in most countries around the world. In the metric system, various units of measurement are defined as multiples or fractions of a base unit, which is defined for each quantity being measured. For example, the base unit for length is the meter, and the base unit for mass is the kilogram. Prefixes such as kilo-, centi-, and milli- are used to indicate multiples or fractions of the base unit, based on factors of 10. For example, a kilometer is 1000 meters, a centimeter is 1/100 of a meter, and a milligram is 1/1000 of a gram. This makes the metric system easy to use and convert between units, as well as consistent and universally recognized.

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Answer:

Step-by-step explanation:

a

SSS" is when we know three sides of the triangle, and want to find the missing angles

A time complexity cheat sheet is a reference guide that provides an overview of the time complexity of common algorithms and operations in computer science.

Time complexity is a measure of the amount of time an algorithm takes to solve a problem, expressed in terms of the input size of the problem. It is typically denoted using Big O notation, which provides an upper bound on the amount of time an algorithm takes.

A time complexity cheat sheet can be useful for quickly determining the time complexity of an algorithm or operation, as well as for comparing the time complexity of different algorithms. Some common time complexities that may be included in a time complexity cheat sheet are:

O(1): Constant time complexity. An algorithm with O(1) time complexity takes a fixed amount of time, regardless of the input size.

O(log n): Logarithmic time complexity. An algorithm with O(log n) time complexity takes time proportional to the logarithm of the input size.

O(n): Linear time complexity. An algorithm with O(n) time complexity takes time proportional to the input size.

O(n log n): Log-linear time complexity. An algorithm with O(n log n) time complexity takes time proportional to the input size multiplied by the logarithm of the input size.

O(n^2): Quadratic time complexity. An algorithm with O(n^2) time complexity takes time proportional to the square of the input size.

O(2^n): Exponential time complexity. An algorithm with O(2^n) time complexity takes time proportional to two raised to the power of the input size.

Other time complexities may also be included, depending on the complexity of the algorithm or operation. A time complexity cheat sheet can be a helpful tool for understanding and analyzing algorithms, but it is important to remember that time complexity is not the only factor to consider when evaluating the performance of an algorithm.

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The correct answer is B. 2

The simplified answer in improper fraction is -3 ¹/₅.

To simplify the equation we will solve the equation and obtain the value of x as shown below.

7 ( x + 1 ) = 1 - 2( 5 - x )

open the bracket by multiplying by 7 and 2

7x  +  7  = 1 - 10 + 2x

collect similar terms as shown below;

7x - 2x = 1 - 10 - 7

5x = -16

x = -16 / 5

x = -3 ¹/₅

Thus, the simplified answer in improper fraction is obtained by finding the value of x.

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The steps to calculate standard deviation using a TI-84 calculator:

1.Enter the data into a list

2.Calculate the mean

3.Calculate the standard deviation

Here are the steps to calculate standard deviation using a TI-84 calculator:

1.Enter the data into a list: Press STAT, then ENTER, and then use the arrow keys to move to a list (e.g., L1, L2, etc.) and press ENTER. Enter the data into the list by typing each value followed by ENTER.

2.Calculate the mean: Press STAT, then RIGHT ARROW to select the CALC menu, and then select 1: 1-Var Stats. This will display a list of variables. Type the list name that contains the data and press ENTER. The calculator will display the mean value.

3.Calculate the standard deviation: From the same list in step 2, look for "Sx" or "σx" in the output. Sx stands for the sample standard deviation, and σx stands for the population standard deviation.

That's it! Now you know how to calculate standard deviation using a TI-84 calculator.

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Answer: y=6x^2 opens downward. y=11x^2 opens upward

Step-by-step explanation:

-6 is a negative so it opens downward. 11 is a positive number so it will open upward.

The amount that Ayaan will have in his tax-free savings account after 6 months of depositing $746 at 2.15% interest is $754.02.

The future value refers to the present value plus the interest.

The future value for this savings account can be computed using the simple interest system since there is no compounding of interest.

The initial deposit (present value) = $746

Interest rate = 2.15%

Savings period = 6 months

Future value = $754.02 ($746 + ($746 x 2.15% x 6/12)

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The points are plotted and labeled in the graph.

Coordinates are a pair of integers (Cartesian coordinates), or occasionally a letter and a number, that identify a certain place on a grid, often referred to as a coordinate plane.

Given:

A graph of the coordinate plane.

The points are (0, 2), (-3, 4), (4, -6), (6, -2), (5, 5), (-3, -5), (0, -4), (4, 0), (5, 0), and (3, -6).

The points are plotted and labeled in the graph.

The required graph is given in the image below.

Therefore, all the coordinates are plotted in the graph.

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Using Distributive Property, the two expressions that is equal to 72 are

3(10+14) and 4(5+13).

What are expressions exactly?

In mathematics, expressions are mathematical claims that consist of at least two sentences that contain numbers, variables, or both, and are linked by an operator in between. The operations includes sum, Difference, multiplication, and division. For instance, x + y is an equation in which the words x and y are separated by an addition operator. In mathematics, there are two types of expressions: numerical expressions, which include only numbers, and algebraic expressions, which contain both numbers and variables.

Now,

The expressions using distributive property can be

3(10+14)=3*10+3*14

            =30+42

            =72

4(5+13)=4*5+4*13

            =20+52

           =72

Hence,

            the two expressions that is equal to 72 are 3(10+14) and 4(5+13).

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The value of each of the following:

(a) 0.0837 ml

(b) 460.68 m

(c) 84 L

(d) 100￠

The denominator of a percentage (also known as a ratio or fraction) is always 100. Ram, for instance, would have received 30 out of a possible 100 points if he had received 30% on his arithmetic test.

For 6 1/5 % of 1.35 ml

⇒ 6 1/5 % = 31/5 %

⇒ 31/5 % of 1.35 ml

= 31/(5×100) × 1.35 ml

= 0.0837 ml

For 56 7/8 % of 810 m

⇒ 56 7/8 % = 455/8 %

⇒ 455/8 % of 810 m

= 455/(8×100) × 810 m

= 460.68 m

For 0.56% of 15 000 L

⇒ 0.56% of 15 000 L

= 0.56/100 × 15 000 L

= 84 L

For 2000% of 5￠​

⇒ 2000% of 5￠​

= 2000/100 × 5￠​

= 100￠​

Hence, the answers are as follows:

(a) 0.0837 ml

(b) 460.68 m

(c) 84 L

(d) 100￠

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Answer:

D)  229.05

Step-by-step explanation:

f(75) = 0.81(75) + 168.3 = 229.05

One needs to connect the points where these arcs intersect the circle to form the desired shape. Finally, the angles need to be labeled to complete the unit circle.

A unit circle is a circle with a radius of 1. It is a tool used in trigonometry to measure angles and lengths of arcs. To calculate the length of an arc, one needs to know the angle it subtends at the center of the circle. The formula for finding this length is L = rθ, where L is the length of the arc, r is the radius, and θ is the angle subtended at the center. To fill in a unit circle, one needs to first calculate the lengths of the arcs subtended by the angles in the circle. Then, one needs to connect the points where these arcs intersect the circle to form the desired shape. Finally, the angles need to be labeled to complete the unit circle.

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Answer:

-7.988 or -2E

Step-by-step explanation:

The length of side x is 10 units

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

Segment AD bisects angle BAC.

Using the above as a guide, we have the following:

BD = DC

substitute the known values in the above equation, so, we have the following representation

x = 20 - x

Evaluate the like terms

2x = 20

Divide by 2

x = 10

Hence, the value of x is 10

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To solve the system of equations y=4x-3 and y=-2x+9, we can set the two equations equal to each other and solve for x:

4x - 3 = -2x + 9

Adding 2x and 3 to both sides, we get:

6x = 12

Dividing both sides by 6, we get:

x = 2

Now that we have the value of x, we can substitute it into either of the original equations to find the corresponding value of y. Let's use the first equation:

y = 4x - 3

y = 4(2) - 3

y = 8 - 3

y = 5

Therefore, the solution to the system of equations is x = 2 and y = 5. The solution is the ordered pair (2, 5).

Answer:

The secant function is undefined for angles where the cosine function equals zero, because dividing by zero is undefined. Therefore, we need to find the values of Θ where cos Θ = 0.

The cosine function equals zero at 90° and 270° (or π/2 and 3π/2 in radians), so we have:

cos 90° = 0, cos 270° = 0

Therefore, the angles that satisfy sec Θ = undefined are:

Θ = 90° + 360°k, Θ = 270° + 360°k

where k is an integer (positive, negative, or zero) that allows us to generate all possible angles in the range 0° ≤ Θ ≤ 360°.

So, the solutions for Θ are:

Θ = 90° + 360°k, Θ = 270° + 360°k

where k is an integer.

Step-by-step explanation:

The main step to add rational expressions with unlike denominators is to take least common multiple of denominator and make them like before applying the required operation.

Therefore, the addition of rational expressions with unlike denominators is simplified by taking least common multiple.

The above question is incomplete, the complete question is:

Write steps for adding rational expressions with unlike denominators with example ?

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Answer: answer to 2nd mcq

Step-by-step explanation:

For (-6, 0): -6 + 3(0) = -6 + 0 = -6 ≥ -8         [true]

For (-1, -2): -1 + 3(-2) = -1 - 6 = -7 ≥ -8       [true]

For (-5, -1): -5 + 3(-1) = -5 - 3 = -8 ≥ -8       [true]

Answer:

Step-by-step explanation:

To find the diagonal of a rectangular lot, you can use the Pythagorean theorem. The theorem states that in a right triangle, the square of the length of the hypotenuse (the longest side, also known as the diagonal of the rectangle) is equal to the sum of the squares of the lengths of the other two sides.

So, for a rectangular lot 165 feet long and 90 feet wide, the length of the diagonal can be calculated as follows:

d = √(165^2 + 90^2) = √(27225 + 8100) = √35325 = 189 feet

The diagonal fence for the lot would require 189 feet of fencing. To round this to the nearest foot, we would round up to 190 feet, since 189.5 is closer to 190 than 189.

Therefore, 190 feet of fencing are needed to make a diagonal fence for the lot.

Answer:

Step-by-step explanation:

Answer:

It should be = 20/68 = 0.294117647