39% of 80 74% of 240 91% of 82 66% of 160
9% of 71 126% of 80 234% of 145 97.9% of 39
52% of 57.9 33% of 15.3

Mean of given set is 7.8

The sum of all values divided by the total number of values determines the mean (also known as the arithmetic mean, which differs from the geometric mean) of a dataset. The term "average" is frequently used to describe this measure of central tendency. The most typical or average value among a group of numbers is called the mean. It is a statistical measure of a probability distribution's central tendency along the median and mode. It also goes by the name "anticipated value." It is a statistical idea with significant financial implications.

Given,

Mean:

Formula:

Sum = 118.25

Total = 15

[tex]\frac{sum}{total}[/tex]

[tex]\frac{6.75 + 6.5 + 7 +8 +7+8.75+7.25+5.75+9.25+7.75+7+7.5+8+7.5+8+6.25}{15}[/tex]

= [tex]\frac{118.25}{15}[/tex]

= 7.8

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Answer:

$50.16

Step-by-step explanation:

id.k if it's actually right but i believe the tip would be $8.36 if it's 20% so adding it together is $50.16

Answer:

The answer is to the question A

Answer:

Its B 100%

i took the test and got it right

k bye :):):):):):):)

Step-by-step explanation:

Number of terms of sequence N

Difference D = -1

Then there are here

In negative part, 70 numbers

In positive x line, 40 numbers

And add also zero

Then, ANSWER IS

N= 70 + 40 + 1

. = 111

There are 111 numbers

The slope of the line which is perpendicular to the given line 3x+18y=108 is (6).

The slope is the ratio of the vertical changes to the horizontal changes between two points of the line.

We already know the equation of a line in slope intercept form y = mx + b and we also know that perpendicular lines that have slopes which are negative reciprocals of each other.

Given a line 13x + 18y=108, this slope intercept form can be written as,

3x + 18y = 108

18y = 108 - 3x

y = (108 /18) - (3/18)x.

y = (6) - 1x/6.

y = -(1/6)x + 6.

∴ The slope of the given line is (-1/6), thus the slope of the line which is perpendicular is (6).

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The two inequalities are (option c) y > x - 2 and2y + x < 4

Given,

Let's start by locating the red-hued area.

If the shadow is visible to be over the line, then the situation will be as follows:

y > ax + b

Hence the equation for the line is ax + b.

The slope is a, and the y-intercept is b.

The line in the graph intersects the y-axis at y = -2, which results in:

b = -2

Two points on the line are required to determine the slope; these points are (0, -2), and (2, 0)

We are aware of the slope for a line passing through the points (x1, y1) and (x2, y2) as follows:

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

The slope for this line will then be:

a = (0 - (-2))/(2 - 0) = 2/2 = 1

Then this line's equation is:

1x - 2

And here's the inequality:

y > x - 2.

The shaded area of the blue one is below the line, thus we will have:

y < ax + b

The y-intercept in this situation is y = 2.

This line crosses through the points (0, 2) and, as can be seen (4, 0)

The slope is then:

a = (0 - 2)/(4 - 0) (4 - 0) = -2/4 = -1/2

This inequality is then:

y < (-1/2)x + 2

If we rewrite this using the choices, we get the following:

y < (-1/2)x + 2

2y < -x + 2 ×2

2y + x < 4

The two inequalities are (option c) y > x - 2 and2y + x < 4

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Answer: C

Step-by-step explanation:

After evaluation using the exponential laws, the expression "(0.5)∧(0.5)∧4 + (0.5)²" is evaluated as 2(0.5)².

So, evaluate "(0.5)∧(0.5)∧4 + (0.5)²" using laws of exponents:

Then,

By law: Power of power rule

Therefore, after evaluation using the exponential laws, the expression "(0.5)∧(0.5)∧4 + (0.5)²" is evaluated as 2(0.5)².

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The correct question is given below:
Apply the laws of exponents to evaluate the expression.

(0.5)∧(0.5)∧4 + (0.5)²

The required solution of the expressions is (a) 7x⁵ + 13³ - 11x⁴ - x, (b) 5p² - 7p + 1.

Given that,
To arrange the like terms in columns and add them. - a) 2x³ - 7x⁴ + 7x⁵ and 11x³ - 4x⁴ – x b) -2p - 3p² and 1 - 5p + 8p²​.

The algebraic expression consists of constant and variable. eg x, y, z, etc.

Here,
(a)
= 2x³ - 7x⁴ + 7x⁵ + 11x³ - 4x⁴ – x
= 7x⁵ - 7x⁴  - 4x⁴+ 2x³ + 11x³– x
=  7x⁵ + 13³ - 11x⁴ - x,

(b)
=  -2p - 3p² +  1 - 5p + 8p²
= 1  -2p - 5p -3p² + 8p²
=  1 - 5p + 8p²​

Thus, the required solution of the expressions is (a) 7x⁵ + 13³ - 11x⁴ - x, (b) 5p² - 7p + 1.

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The required solutions to the given polynomials are 13x³- 11x⁴+ 7x⁵  – x and - 7p + 5p²​+ 1.

A polynomial is defined as a mathematical expression that has a minimum of two terms containing variables or numbers.

The polynomials are given in the question :

2x³ - 7x⁴ + 7x⁵, and 11x³ - 4x⁴ – x

-2p - 3p² and,1 - 5p + 8p²​

According to the question,

⇒ 2x³ - 7x⁴ + 7x⁵ + 11x³ - 4x⁴ – x

Rearrange the terms and apply the arithmetic operation,

⇒ 2x³ + 11x³- 7x⁴- 4x⁴ + 7x⁵  – x

⇒ 13x³- 11x⁴+ 7x⁵  – x

⇒ -2p - 3p² + 1 - 5p + 8p²​

Rearrange the terms and apply the arithmetic operation,

⇒ -2p - 5p - 3p²  + 8p²​+ 1

⇒ - 7p + 5p²​+ 1

Thus, the required solutions to the given polynomials are 13x³- 11x⁴+ 7x⁵  – x and - 7p + 5p²​+ 1.

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A department store chain that is entering a new area is looking at 16 possible locations for the placement of its 7 outlets. There are 57657600 many possible ways to the sites for the new stores.

Given that,

A department store chain that is entering a new area is looking at 16 possibility locations for the placement of its 7 outlets.

We have to find how many different possibility are there to choose the locations for the new businesses, provided that each site has an equal chance of being chosen.

By multiplying the number of possibilities each store has, we may determine the total number of ways.

It can be put on 16 sites for store 1. 15 locations can accommodate Store 2 (since store 1 is already on site 1). Up until shop 7, which has 10 sites, store 3 can be situated on 14 sites.

The quantity of ways is thus:

= 16 × 15 × 14 × 13 × 12 × 11 × 10

= 57657600

Therefore, there are 57657600 many possible ways to the sites for the new stores.

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The best way to divide the land having canal and road parallel, is divide land with the line perpendicular to the road and canal.

What is parallel and perpendicular?

In simple geometry, two geometric objects cross at a right angle (90 degrees or /2 radians) if they are perpendicular to one another. The perpendicular symbol,⟂, can be used to graphically depict the condition of perpendicularity. It can be defined between two planes, between two lines (or line segments), and between two lines.

In geometry, parallel lines are coplanar, straight lines that never intersect. Any parallel planes in the same three-dimensional space are those that never intersect. Parallel curves are those that have a predetermined minimum separation between them and do not touch or intersect.

We need to give equal access of canal to each section of land so, the best way to divide land is divide land perpendicularly to canal and the road.

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1st , 3rd & 5th choices

Step-by-step explanation:

perpendicular line would have a slope that is a

negative reciprocal

so if the slope is 3 then a perpendicular line would have a slope of -1/3

y - 1 = 1/3 (x + 2)

make the line look like y = mx + b

y = 1/3 (x + 2) + 1

y = 1/3 (x + 2) + 3/3

y = 1/3x + 2/3 + 3/3

y = 1/3x + 5/3

m = 1/3

perpendicular line has a slope of

m = -3

The equation of the circle passing through points (-2, 6) , (2, 8) , and (5, -1) is given as follows:

(x - 2)² + (y - 3)² = 25.

The equation of a circle with center (x*, y*) and radius r is given according to the following rule:

(x - x*)² + (y - y*)² = r².

The circle passes through point (-2,6), hence the first equation of the system is given as follows:

(-2 - x*) + (6 - y*)² = r².

r² = x*² + 4x* + 4 + y*² - 12y* + 36.

The circle also passes through point (2,8), hence the second equation of the system is given as follows:

(2 - x*) + (8 - y*)² = r².

r² = x*² - 4x* + 4 + y*² - 16y* + 64.

The final point is point (5,-1), meaning that the third equation is:

(5 - x*) + (-1 - y*)² = r².

r² = x*² - 10x* + 25 + y*² + 2y* + 1.

The system of equations to find the coordinates of the center and the radius is given as follows:

The solution to the system is given as follows:

x* = 2, y* = 3, r² = 25.

Hence the equation of the circle is:

(x - 2)² + (y - 3)² = 25.

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Answer:

1 2/5

Step-by-step explanation:

Improper Fraction - A fraction that has a numerator that is larger than the denominator

Mixed Fraction - A fraction with a whole number, or a quotient with its remainder

In order to convert improper fractions to mixed fractions, you must divide the numerator by the denominator.

So, 7/5 = 7 ÷ 5 = 1 2/5

The quotient being 1, and the remainder being 2/5 because there is 2 left out of the 5.

The initial velocity = vi = 6m/s

The final velocity = vf = 16 m/s

The total time = t = 20 seconds

The rate of change in velocity is called acceleration (a) that can be written as:

or

Put the values in the equation to get the value of 'a'.

or

hence, the value of a is 1/2.

Given the function f(x), we can write it like this:

Using the formula for polynomial derivatives, we get:

Therefore, the derivative f'(x) is 12/x^5

To get 150% of a given number x, we multiply it by 1.5

This way, we'll have that:

Solving for x,

Therefore, we can conclude that 12 is 150% of 8

1) [tex]\angle CDE \cong \angle CED, \angle A \cong \angle B[/tex] (given)

2) [tex]m\angle CDE=m\angle CED, m\angle A=m\angle B[/tex] (definition of congruent angles)

3) [tex]m\angle C+m\angle CDE+m\angle CED=180^{\circ}, m\angle C+m\angle A+m\angle B=180^{\circ}[/tex] (sum of angles in a triangle)

4) [tex]m\angle C+2m\angle CDE=180^{\circ}, m\angle C+2m\angle A=180^{\circ}[/tex] (substitution)

5) [tex]m\angle C=180^{\circ}-2m \angle CDE, m\angle C=180^{\circ}-2m\angle A[/tex] (subtraction)

6) [tex]180^{\circ}-2m \angle CDE=180^{\circ}-2m \angle A[/tex] (transitive)

7) [tex]-2m\angle CDE=-2m\angle A[/tex] (subtraction)

8) [tex]m\angle CDE=m\angle A[/tex] (division)

9) [tex]\angle CDE \cong \angle A[/tex] (definition of congruent angles)

10) [tex]\overline{DE} \parallel \overline{AB}[/tex] (converse of corresponding angles theorem)

Answer:

where???????????????

The solution to the equation given as 4(3m + 1) − 2m = −16 is m = -2

The equation is given as

4(3m + 1) − 2m = −16

Open the brackets in the above equation

So, we have

12m + 4 − 2m = −16

Collect the like terms in the above equation

So, we have the following equation

12m − 2m = −16 -4

Evaluate the like terms in the above equation

So, we have the following equation

10m = −20

Divide both sides by 10

m = -2

Hence, the soluton is m = -2

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im pretty sure its B or most likeley C

Based on the graphs and equations given, the simultaneous equations can be solved to give x = 1.5 and y = 5.5.

To solve the simultaneous equation, come up with the values of y using values of x in the given formulas:

For y = 3x + 1: the values of y will be:

When x = 1, then y will be:

= 3(1) + 1

= 4

When x = 2, then y will be:

= 3(2) + 1

= 7

When x = 3, then y will be:

= 3(3) + 1

= 9

For the equation, x + y = 7:

When x = 1, then y will be:

y = 7 - 1

= 6

When x = 2, then y will be:

= 7 - 2

= 5

When x = 3, then y will be:

= 7 - 3

= 4

When these are plotted on a graph, we find that the value of x is 1.5 and the value of y is 5.5. This is the point where the lines intersect.

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Answer:

The percent change in attendance from the 2014 to 2015 school year is a 11.5385% decrease, or 12% when rounded.

Make sure to mark as Brainliest if this is correct so others know that this is the correct answer.

Answer:

r u cheating or just need "HELP"

Step-by-step explanation:

Answer: 6, -4

Step-by-step explanation:

[tex]\frac{2}{5}|x-1| \geq 2\\\\|x-1| \geq 5\\\\x-1 \leq -5, x-1 \geq 5\\\\x \leq -4, x \geq 6[/tex]

Take into account the following property:

Then, for the given expression you have:

Hence, the answer is approximately 3.322

The expression's variables can be represented by a different symbol than the conventional x and y.

How to Convert Algebraic Expressions to Verbal Expressions.

Therefore, the expression's variables can be represented by a different symbol than the conventional x and y.

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∠2 ≅ ∠4 and m∠2 = 110°, and proved  m<3 = 70⁰.

The answers of the blank lines are:

A . Vertically opposite angle.

B . Linear angle .

C . Hence proved  .

Given ,

∠2 ≅ ∠4 and m∠2 = 110°.

We have to prove

m<3 = 70⁰

Here ,

m<2 = m<4 => They are vertically opposite angles.

And here ,

m<3 and m<4 are supplementary angles.

m∠3 + m∠4 = 180° => linear angle .

m<4 = 110⁰  => since  m<2 = m<4

By substituting m∠4  we get,

m∠3 + m∠4 = 180°

= m∠3 + 110 = 180

= 180 - 110

m∠3 = 70°

Hence proved.

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From the given values, we can see that the lowest values is -32 and the highest value ie -4. Since the range is the difference betwwwn the highest and the lowest value, the range is

On the other hand, the sample variance formula is

where x^bar is the mean and n is the total number of sample elements. In our case, n=7 and the mean is

Then, the sample variance is given by

Since the standard deviation is the square root of the sample variance, we have

By rounding the solutions to the nearest tenth, the answers are:

Considering the equation of a circle, it is found that:

The equation of a circle of center [tex](x_0, y_0)[/tex] and radius r is given as follows:

[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]

In the context of this problem, we have that:

Hence the equation of the circle is given by:

[tex](x - 12)^2 + \left(y - \frac{17}{3}\right)^2 = 81[/tex]

Brian's dart lands at the following position:

(11.5, 5)

All the points that land on the dartboard respect the following equation:

[tex](x - 12)^2 + \left(y - \frac{17}{3}\right)^2 \leq 81[/tex]

For the coordinate where the dart landed, we have that:

(11.5 - 12)² + (5 - 17/3)² = 0.7 < 81, meaning that Brian's dart lands on the dartboard.

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Answer:

pi/6 and 11pi/6

Explanation

Given the trigonometry equation:

Add 2\sqrt[3] to both sides as shown;

Take the cos inverse of both sides

Since theta is between 0 and 2pi

theta = 360 - 30

theta = 330^0

Convert to radians

180^0 = pi rad

30^0 = x

180x = 30pi

x = 30pi/180

x = pi/6

Similarly;

180^0 = pi rad

330^0 = x

180x = 330pi

x = 330pi/180

x = 11pi/6

Hence the value of thets between 0 and 2pi are pi/6 and 11pi/6

Answer:

-11/6

Step-by-step explanation:

you can use rise over run to find your answer