The interquartile range gives the range of the middle_____% of the data​

Answer:

  The measure of angle AOC is double the measure of angle ABC.

Step-by-step explanation:

You want to know the relationship between central angle AOC in circle O and inscribed angle ABC subtending the same arc AC.

The measure of an inscribed angle is half the measure of the arc it intercepts. The measure of a central angle is exactly equal to the measure of the arc it intercepts. (That's how the arc measure is determined.)

Hence, the measure of angle AOC is double the measure of angle ABC.

__

Additional comment

  Inscribed : central = 1 : 2

  Central : inscribed = 2 : 1

You need to be a little careful of the wording of the relationship. Which is double and which is half can be confused when it's written in words. On a diagram, the angle with its vertex in the center will obviously be larger than the one with its vertex on the circle.

Answer:

7/8

Step-by-step explanation:

Since the only case where we don't get a head is TTT. And in all other cases, there is at least 1 head, so the probability of getting at least one head is 7/8 ( we get at least one head in 7 out of 8 cases)

SOLUTION

Liquids have to be poured into a container that is caliberated with measurements before it's volume can be measured because a liquid does not have a definite shape, it only takes the shape of the container which it is placed. So if the volume of the cotainer is known, that becomes the volume of the liquid.

Hence the answer is

Liquids do not have a definite shape, option 3

Answer:

12.25cm2

Step-by-step explanation:

Area of a square= S ×S

3 1/2 × 3 1/2 = 3.5×3.5 = 12.25

Answer:

Point I and Point II may not need to be main points.

Ann's main points are not balanced.

Parallel structure will not work with Ann's speech topic.

Step-by-step explanation:

This division indicates that Ann prioritized Point III above Points I and II. Point III was allocated the most of Ann's time (75%), while Point I and II were each given 10% and 15%, respectively. This is a sign that Ann placed a higher priority on Point III.

In terms of the actual percentages, this could indicate a variety of things. It could mean that Ann felt Point III was more important than the other two points, or that Point III took more time to complete than the other two points. It could also mean that Ann was trying to achieve a specific ratio of her time dedicated to each point.
Regardless of the reasoning, this division of Ann's time shows that she placed a higher priority on Point III. This could mean that Point III was more important to her overall goal than the other two points, or that Point III required a larger amount of her time.

By understanding this division of Ann's time, we can gain insight into what she felt was important, and how she chose to prioritize her time. This can be used to better understand Ann's thought process and her overall goal.

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Answer:

1) Factored Form: y = (x - 3)(x + 1)

  X intercepts: (-1, 0), (3, 0)

  Axis of Symetry: x = 1

  Vertex: (1, -4)

  Domain: All real numbers -  (-∞, ∞)

  Range: y ≥ 4

2) Facotred Form: y = (x - 8)(x + 1)

   X intercepts: (-1, 0), (8, 0)

   Axis of symetry: x = 3.5

   Vertex: (3.5, -20.25)

   Domain: All real numbers - (-∞, ∞)

   Range: y ≥ -20.25

Step-by-step explanation:

Answer:

3x^2 - 3x - 3

Step-by-step explanation:

Plug in the equations in place of the variables

First, subtract k(x) from h(x)

x^2+1-x-2  (combine like terms)

x^2 - x -1

Next, multiply the new equation by 3

3(x^2 - x - 1)     Use distributive property

= 3x^2 - 3x - 3

Answer:

18 months=1.5 years

Step-by-step explanation:

I hope this helps

Answer:

1.5 years

Step-by-step explanation:

1 year = 12 months

18/12 = 1\(\frac{6}{12}\) = 1.5 years

Answer:

−3 < −1

−3 ≤ −1

Step-by-step explanation:

Symbol explanation

A negative number is any number that is less than zero.

On the number line the negative numbers are to the left of the zero.

-3 is less than -1 because -3 lies to the left of -1 on the number line.

Therefore, the only given inequalities that are true statements are:

Answer:

X:6.7

Y:17

Z:33

Step-by-step explanation:

Because their similar to each other, the corresponding angles are equal.

5y-3=82

5y=85

y=17

Angle J=angle M=z=180-82-65=33

3x-2=18.1

3x=20.1

x=6.7

Answer:

x = 6.7

y = 17

z = 33°

Step-by-step explanation:

To find x:

Because IJK≅LMN, you know that 3x-2 = 18.1

3x-2 = 18.1

Add 2 to both sides:

3x-2+2 = 18.1+2

3x = 20.1

Divide both sides by 3:

3x/3 = 20.1/3

x = 6.7

To find y:

5y-3 = 82

Add 3 to both sides:

5y-3+3 = 82+3

5y = 85

Divide both sides by 5:

5y/5 = 85/5

y = 17

To find z:

Because all triangles angles must add up to 180, find 180-82-65:

180-82-65 = 33 degrees

Because IJK≅LMN, z = 33 degrees

To solve this problem, we can use the Chinese Remainder Theorem. We need to find the remainder when 2202 202 is divided by both 2101 and 251.

First, note that 2101 and 251 are relatively prime. Therefore, by the Chinese Remainder Theorem, there exists a unique remainder between 0 and 2101 * 251 - 1 (inclusive) that satisfies the two conditions.

To find this remainder, we can use the remainders when 2202 202 is divided by 2101 and 251.

Note that 2202 is congruent to 101 (mod 2101) and 0 (mod 251). Therefore, we can use the Chinese Remainder Theorem to find that the remainder when 2202 202 is divided by 2101 * 251 is congruent to:

101 * (251^2) * (251^(-1)) + 0 * (2101^2) * (2101^(-1)) (mod 2101 * 251)

Using the fact that 251^(-1) is congruent to 201 (mod 2101) and 2101^(-1) is congruent to 1922 (mod 251), we can simplify this expression to:

101 * (251^2) * (201) + 0 * (2101^2) * (1922) (mod 2101 * 251)

Simplifying further, we get:

101 * 251 * 201 (mod 2101 * 251)

This is congruent to 101 * 201 (mod 251), which is congruent to 101 (mod 251).

Therefore, the remainder when 2202 202 is divided by 2101 251 1 is 101, which is option (b).

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Answer:

\(\frac{11}{20}\)

Step-by-step explanation:

2\(\frac{3}{4}\) ÷ 5

Convert mixed number fraction to improper fraction

\(\frac{11}{4}\) ÷ 5

To divide fractions we turn the second fraction (the one you want to divide by) upside down (this is now called a reciprocal) and we multiply

\(\frac{11}{4}\) × \(\frac{1}{5}\) = \(\frac{11}{20}\)

Answer:

132

Explanation:

All you need to do is separately find the area of the shapes that are part of the figure (in this case the trapezoid and rectangle), and then add them all up.

1.(7x4) + (1/2x8[7+19])

2. 28 + 104

3. 132

~Hope this helps you~

Answer:

you sure these are the right values?

Answer:

t=11

Word form: three with a parenthesis of t minus three equals nine.  T equals eleven

Answer:

Rs 2,or 2%profit

Step-by-step explanation:

the price he marked:

\(100 \times \frac{120}{100} = 120\)

(20 percent more than cost price)

The discount he put: 15 percent

\(120 \times \frac{85}{100} \)

Rs102

102 is 2 more than 100

and is 2%profit.

Brainliest please

The force required to keep a hockey puck sliding at a constant velocity, neglecting ice friction and air resistance, is equal to its weight. The correct option is "equal to its weight."

When a hockey puck is set in motion across a frozen pond and there is no ice friction or air resistance, the only force acting on the puck is its weight, which is the force due to gravity pulling it downward. According to Newton's first law of motion (the law of inertia), an object at a constant velocity will continue to move at that velocity unless acted upon by an external force.

Since the puck is already in motion and we want to maintain its constant velocity, the force required to counteract its weight and keep it sliding is equal to its weight. This is because the weight of an object is the force exerted on it by gravity, and in the absence of other forces, an equal and opposite force is needed to maintain the object's motion without acceleration.

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Answer:

because there are in need of it

Step-by-step explanation:

yes

The percentage of water in the mixture is 20%.

The dishonest milkman gains 25% by mixing water with his milk. Let's assume he sells 1 liter of milk at the cost price of x. Now, he mixes water with this 1 liter of milk. Let the quantity of water he adds be y liters. So, the total quantity of the mixture becomes 1 liter + y liters.

According to the question, the dishonest milkman gains 25% by selling this mixture. This means that the selling price of the mixture is 125% of the cost price. Therefore, the selling price of the mixture is 1.25x.

Since the dishonest milkman is selling the mixture at cost price, we can equate the selling price to the cost price. So, 1.25x = x + y.

Simplifying the equation, we get y = 0.25x.

Now, we need to find the percentage of water in the mixture. This can be calculated by dividing the quantity of water (y liters) by the total quantity of the mixture (1 liter + y liters) and multiplying by 100.

So, the percentage of water in the mixture is (y / (1 + y)) * 100 = (0.25x / (x + 0.25x)) * 100 = (0.25 / 1.25) * 100 = 20%.

Therefore, the percentage of water in the mixture is 20%.

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Answer:

0.21 square meter

Step-by-step explanation:

Area of the section of wall = 1 square meter

Dimension of part of mural completed = \(\frac{1}{4}\) meter by \(\frac{5}{6}\) meter

Part of the mural completed = Area of the rectangular part of mural completed

But,

Area of a rectangle = length x width

So that,

Part of the mural completed = length x width

                                             = \(\frac{1}{4}\) x \(\frac{5}{6}\)

                                            = \(\frac{5}{24}\)

                                            = 0.2083

Part of the mural completed = 0.21 square meter

The part of the mural that has been completed by Beverly is 0.21 square meter.

Answer: 5/24

Explanation:

A=l*w

A=1/4*5/6

A=5/24.

Answer:

permiter 68ft

area 204ft²

Step-by-step explanation:

25ft+26ft+17ft=68ft

1/2×17ft×24ft=204ft²

I hope it's help

The lower confidence interval of the population mean is 34.16.

To construct a 95% confidence interval for the population mean, we can use the formula:

CI = sample mean ± (z-score)(standard error)

Where the z-score is determined by the level of confidence and can be found using a z-table or calculator. For a 95% confidence interval, the z-score is 1.96.

The standard error can be calculated using the formula:

standard error = population standard deviation / √(sample size)

Substituting the given values, we get:

standard error = 2.9 / √46 = 0.427

Now we can plug in the values into the formula to get the confidence interval:

CI = 35 ± (1.96)(0.427) = 35 ± 0.837

The lower confidence interval of the population mean is obtained by subtracting the margin of error from the sample mean:

lower confidence interval = 35 - 0.837 = 34.16 (rounded to 2 decimal places)

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Answer:

-1

Step-by-step explanation:

Take the two points

(-2,4) and (4,-2)

And we can find the  slope

m = (y2-y1)/(x2-x1)

   = (-2-4)/( 4 - -2)

   =(-2-4)/(4+2)

   = -6/6

   = -1

Answer:

x(3)=72

Step-by-step explanation:

-27+27+72=72

In mathematics, "\(a^2\)" denotes the square of a number or variable "a." It is calculated by multiplying "a" by itself.

4For example, if "a" is 5, then a^2 would be 5*5, which equals 25. When "a" represents a positive number, its square is always positive.

If "a" is negative, its square is still positive since a negative multiplied by a negative results in a positive.

In geometrical terms, if "a" represents the length of the side of a square, then a^2 represents the area of that square. This notation is part of the general concept of exponentiation.

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The Question in English

What does a^2 mean in mathematics

The measures of position that divide a set of data into four equal parts are called quartiles.

Quartiles are statistical measures that divide a dataset into four equal parts, each containing approximately 25% of the data. These quartiles are denoted as Q1, Q2, and Q3.

Q1, also known as the first quartile or the 25th percentile, represents the value below which 25% of the data falls. It splits the lowest 25% of the dataset from the rest.

Q2, also known as the second quartile or the 50th percentile, is the median of the dataset. It represents the value below which 50% of the data falls, dividing the dataset into two equal parts.

Q3, also known as the third quartile or the 75th percentile, represents the value below which 75% of the data falls. It separates the highest 25% of the dataset from the rest.

These quartiles are useful in analyzing the distribution and dispersion of data, providing insights into the spread and central tendency.

They are commonly used in box plots, where the box represents the interquartile range (IQR), which is the range between Q1 and Q3, while the line inside the box represents the median (Q2).

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These relations all follow from the identity,

sin(x - y) = sin(x) cos(y) - cos(x) sin(y)

Notice that 160° = 180° - 20°, so if x = 180° and y = 20° above, we get

sin(160°) = sin(180°) cos(20°) - cos(180°) sin(20°)

We know sin(180°) = 0 and cos(180°) = -1, so we end up with

sin(160°) = sin(20°)

For the other, notice that 200° = 360° - 160°, and 340° = 360° - 20°.

Answer:

Step-by-step explanation:

sin 20 is the same as sin 60 because 180-60=20. sin 20 is the same as -sin200 because 200-180=20

sin 340 is the same as sin 20 because 360-340=20. So all four of these connect and they all equal 20. Also, they all equal .3420 (rounded)

Let's find each side first

Using the distance formula

B(-2,-4), C(3, 3),

C(3, 3), D(-2, 3)

D(-2, 3) B(-2,-4)

Now, to find the angles, use the cosine formula

BD = c = 7

BC = d = 8.6

CD = b =5

Using the formula;

substitute the values into the formula and evaluate

Take the cos ⁻ ' of both-side

To find angle C, we will use the cosine formula

substitute the values and evaluate

Take the cos ⁻ ' of both-side

To find the third side

B + C + D = 180° (sum of angle in a triangle)

36 + 54 + D = 180°

90 + D = 180°

D = 180° - 90°

D = 90°

Answer: a = 4/3

Step-by-step explanation:

1. a/4 − 5/6= −1/2 convert -1/2 to -3/6

2. a/4 = 5/6 - 3/6 = 2/6 = 1/3

3. a = 4*2/6 = 4*1/3

4. a = 4/3

Answer:

m/0.1

Step-by-step explanation:

--

we want to find it

-----

10%*x=m

OF means multiply

IT is any variable

IS is equal

10%*x=m

0.1*x=m

x=m/0.1 IN THE ANSWER DO NOT INCLUDE x