Set up and fill in the table table. Use the open space below to show any work. Find the mean absolute deviation for the data set: [ 23, 41, 31, 27, 9, 13 ]

Answer:

Step-by-step explanation:

y = mx + b

Here, m is the slope.

b is the y-intercept

x-intercept = -b/m

y = 3x -4

a) slope = 3

b) y-intercept = (-4)

c)  x -intercept = -(-4)/3 = 4/3

\(y = \frac{1}{5}x-3\)

a) slope =  \(\frac{1}{5}\)

b) y-intercept = (-3)

c)  x -intercept = \(-\frac{1}{5}\)÷(-3)

                      \(= \frac{-1}{5}*\frac{-1}{3}\\\\=\frac{1}{15}\)

Answer:

option D

Step-by-step explanation:

The area of a square depends upon the length of its sides

For side a, The area of the square is a²

Therefore a(s) = s²

Therefore, a square of 3 feet has an area of 9 square feet

Option D

Answer:

0.36 + 2.4x + 4x^2

Step-by-step explanation:

trinomial means in the format ax^2+bx+c

so in this case we just multiple

(0.6+2x)(0.6+2x) use FOIL (First Outer Inner Last

First: 0.6*0.6 = 0.36

Outer: 0.6*2x = 1.2x

Inner: 2x*0.6 = 1.2x

Last: 2x*2x = 4x^2

put them together 0.36+1.2x+1.2x+4x^2

simplify like terms 0.36+2.4x+4x^2

Hope this helps! :)

The minimum side length of the triangle needed to complete the triangle is 5 feet.

A polygon that has three sides and three vertices is called a triangle.

The sum of all the angles of the triangle is 180°.

Given:

The two sides of the triangle are 7 feet and 3 feet.

Let a = 7 and b = 3.

The minimum possible value,

= Max(a, b) - Min(a, b) + 1

= 7 - 3 + 1

= 5 feet.

Therefore, the minimum length is 5 feet.

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All the values are,

Median = 33

First quartile= 29

Third quartile = 41

Inter-quartile range = 12

Range = 15

The given data set is ;

37, 28, 30, 40, 31, 27, 33, 42, 43

Now, We arrange the data set in ascending order to obtain;

27, 28, 30, 31, 33, 37, 40, 42, 43

Hence, The median is the middle number

Which is,

Median = {33}

Now, First quartile is the median of the lower half of the ascending set.

{27, 28, 30, 31,}

Q₁ = (28 + 30) / 2

Q₁ = 29

And, The third quartile is the median of the upper half of the ascending set.

{37, 40, 42, 43}

Q₃ = (40 + 42) / 2

Q₃ = 41

Hence, The inter-quartile range is the the third quartile minus the first quartile.

IQR = 41 - 29

IQR = 12

And, The range is the maximum value minus the least value.

Range = 43 - 27  

Range = 15

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The total area from the graph is 2.737.

Area is the amount of space occupied by a two-dimensional figure. In other words, it is the quantity that measures the number of unit squares that cover the surface of a closed figure. The standard unit of area is square units which is generally represented as square inches, square feet, etc.

First of all, lets calculate the points of intersection (P, Q, R)

x²+3=(x+2) +5

x²-2=√(x+2)

x⁴+4-4x²=x+2

x⁴-4x²-x+2=0

(x-2)(x³+2x²-1)=0

(x-2)(x+1)(x²+x-1)=0

x=2, -1, -1±√(1+4)/2

Clearly, the x-coordinate of Q is -1, P is -1-√5/2, R is -1+√5/2, S is 2

So the limit of integration will be

P( (-1-√5)/2, (-1-√5/2)² +3)=P((-1-√5)/2, (3+√5/2))

Q(-1, (-1)²+3)=Q(-1, 4)

Area A:

\(\int\limits^\frac{3+\sqrt{5} }{2} _4 {-\sqrt{-y-3}-((y-5)^2 -2)} \, dx\)

= \([\frac{-(y-3)^\frac{3}{2} }{\frac{3}{2} }-\frac{(y-5)^3}{3}+3y]^{\frac{3+\sqrt{5} }{2} }_4\)

= 2.07

Area B:

\(\int\limits^\frac{-1+\sqrt{5} }{2} _4 {-\sqrt{x+2}+5-(x^2+3)} \, dx\)

= \([\frac{-(x+2)^\frac{3}{2} }{\frac{3}{2} }+5x-\frac{x^3}{3}-3x]^{\frac{-1+\sqrt{5} }{2} }_{-1}\)

= 0.667

Total area = 2.07+0.667

= 2.737

Therefore, the total area from the graph is 2.737.

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The probability that a randomly-chosen male spider is registered Democrat is 0.3

Explanation:

Total number of voters = 2,222

Total number of males = 1222

Total number of males that are democrat = 600

The probability that a randomly-chosen male spider is registered Democrat:

To the nearest tenth = 0.3

The probability that a randomly-chosen male spider is registered Democrat is 0.3

Answer:

= 1 8 hope this helps!!! :)

Step-by-step explanation:

1 2 ⋅ −7 = 1 3 ( − 1 2 )

1 2 − 7 = 1 3 −1 2 )

1 2 − 7 = 1 3 − 1 2 )

Multiply by 1  

Combine multiplied terms into a single fraction  

Multiply by 1  

Add to both sides of the equation

Answer:

x = 3/2 = 1 1/2 = 1.5

Step-by-step explanation:

1/2 x -7=1/3(x-12)

Multiply 1/2 and -7 to get -7/2

-7/2 = 1/3(x-12)

Fraction -7/2 can be rewritten as -7/2 by extracting the negative sign.

- 7/2 = 1/3(x-12)

Use the distributive property to multiply 1/3 by x−12.

-7/2 = 1/3x + 1/3(-12)

Multiply 1/3 and −12 to get -12/3

-7/2 = 1/3x + -12/3

Divide −12 by 3 to get −4.

-7/2 = 1/3x + 4

Swap sides so that all variable terms are on the left hand side.

1/3x -4 = -7/2

Add 4 to both sides.

1/3x = -7/2 + 4

Convert 4 to fraction 8/2

1/3x = -7/2+8/2

Since -7/2 and 8/2 have the same denominator, add them by adding their numerators.

1/3x = -7+8/2

Add −7 and 8 to get 1.

1/3x = 1/2

Multiply both sides by 3, the reciprocal of 1/3

x = 1/2 x 3

Multiply 1/2 and 3 to get 3/2

x = 3/2

Answer:

Step-by-step explanation:

Answer: 12 x 8

Step-by-step explanation: The other three are not the basic multiplication facts from 0 - 12.

answer is 9

Step-by-step explanation:

12/4=3

1/4=3

3/4=9

Answer:

300.5

Step-by-step explanation:

Firstly, you must remember PEMDAS. This formula shows what order to do which parts of the equation!

Parenthesis

Exponents

Multiplication

Division

Addition

Subtraction

The parenthesis mean that we must do the two equations in them separately.

So, first do 3 x 10². Next, do 5 x 1/10. Finally, add the two products together!

3 x 10² = 300

5 x 1/10 = 0.5

300 + 0.5 = 300.5

:)

Answer:

x=3

Step-by-step explanation:

subtract 2x from both sides then you are left with 3=4x-9

add 9 to both sides then you have 12=4x then divide both sides by 4 and x=3

Answer:

x=3

Step-by-step explanation:

2x+3=6x-9

subtract 3 both sides

2x=6x-12

subtract 6 x both sides

-4x=-6

divide 4 both sides

-x=-3 simplify (divide both sides by -1)

x=3

Answer:

55

Step-by-step explanation:

Step-by-step explanation:

Plug

\( {x}^{2} + 1\)

for x.

\(( {x}^{2} + 1) {}^{2} + 1\)

Note that

\((a + b) {}^{2} = 2ab\)

So we have

\( {x}^{4} + 2 {x}^{2} + 2\)

Answer:

the 16th

Step-by-step explanation:

common multiplier of 3 and 5 is 15, so add 15 to July 1

Easy way to do this, divide 24 with 3, you will get 8. That means 8 is 1/3 of 24. To get 2/3 you just add 8+8 which equals to 16

The correct options are -

When something is bought on credit, an initial payment is made in the form of a down payment.

Given is that Renata is purchasing a condominium for $125,000. She wants to put down a down payment of 20%.

We can calculate the amount she is putting in down payment as -

{x} = 20% of 125000

{x} = 20/100 x 125000

{x} = 20 x 1250

{x} = 25000

Therefore, the correct options are -

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Answer:

ye thats true..

Step-by-step explanation:

Answer:

Answer is A I believe

Step-by-step explanation:

The value of w from the given triangle VWX is 5 units. Therefore, option D is the correct answer.

Law of Sines In trigonometry, the law of sines, sine law, sine formula, or sine rule is an equation relating the lengths of the sides of any triangle to the sines of its angles.

The formula for sine rule is sinA/a=sinB/b=sinC/c

From the given triangle VWX, ∠X=51°, ∠W=16° and VW=x=14.

Here, sinX/x=sinW/w

sin51°/14=sin16°/w

0.7771/14=sin16°/w

0.7771/14=0.2756/w

0.0555=0.2756/w

w=0.2756/0.0555

w=4.965

w≈5

Therefore, option D is the correct answer.

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Answer:

Dollars per passenger would be $252.
The maximum revenue is $63,404.

Step-by-step explanation:

Let's define the number of passengers above 212 as x.

The revenue function is given by R(x) = (212 + x)(292 - x).

We can expand and simplify the revenue function:

\(R(x) = 212 * 292 + 212 * (-x) + x * 292 + x * (-x)\)

= \(61804 - 212x + 292x - x^2\)

= \(-x^2 + 80x + 61804\)

The revenue function is a quadratic function in the form\(R(x) = -x^2 + 80x + 61804\), representing a downward-opening parabola.

To find the x-coordinate of the vertex (which gives the number of passengers for maximum revenue), use the formula \(x = -b/2a\), where \(a = -1\) and \(b = 80\).

\(x=\frac{-80}{2*(-1)}\)

\(= \frac{80}{2}\)

\(= 40\)

Therefore, the number of passengers above 212 for maximum revenue is 40.

Substitute x = 40 into the revenue function to find the maximum revenue:

\(R(x) = -(40)^2 + 80(40) + 61804\)

\(= -1600 + 3200 + 61804\)

\(= 61804 + 1600\)

\(= 63404\)

Hence, the maximum revenue is $63,404.

To determine the fare per passenger, subtract x from the base fare of $292:

Fare per passenger = Base fare - x

\(= 292 - 40\)

\(= 252\) Dollars per passenger.

"The correct answer is option A." The missing coordinates of point Q are (a, c/2).We are given the coordinates of points P and N as (0, c) and (2a, 0), respectively. We are also given that point Q lies on the same line as points P, Q, and N. We need to find the missing coordinates of point Q.

Since point Q lies on the same line as P, Q, and N, its x-coordinate must be halfway between the x-coordinates of points P and N. That is, the x-coordinate of Q is:

x-coordinate of Q = (x-coordinate of P + x-coordinate of N) / 2

x-coordinate of Q = (0 + 2a) / 2 = a

So, we know that the x-coordinate of point Q is a.

To find the y-coordinate of point Q, we can use the fact that point Q lies on the same line as point P, which has coordinates (0, c). The equation of the line passing through P and N is:

y - c = (0 - c) / (2a - 0) * (x - 0)

Simplifying this equation gives:

y - c = -c/2a * xy = -c/2a * x + c

Substituting x = a in this equation gives:

y = -c/2a * a + cy = -c/2 + cy = c/2

So, we know that the y-coordinate of point Q is c/2.

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Answer:

(C)12 Units

Step-by-step explanation:

Triangle WRS has points W(0, -1), R(1.75, 1.5), and S(5, -1).

\(WR=\sqrt{(1.75-0)^2+(1.5-(-1))^2}=\dfrac{\sqrt{149}}{4}\)

\(WS=\sqrt{(5-0)^2+(-1-(-1))^2}=\sqrt{25}=5\)

\(RS=\sqrt{(5-1.75)^2+(-1-1.5)^2}=\dfrac{\sqrt{269}}{4}\)

Perimeter of Triangle WRS

\(= \dfrac{\sqrt{149}}{4}+5+\dfrac{\sqrt{269}}{4}\\\approx 12$ Units\)

Answer:

c

Step-by-step explanation:

took it on edge

The vectorial physical quantity that measures the intensity of the interaction between two or more objects is called force.

The force is a vector quantity, it is completely defined with:

In physics, it is established that physics is any factor capable of generating a deformation or change of state, in the movement, of a body. From Newton's second law, a force can be calculated as:

Where:

Force is the vector quantity with which we can express, for example, the intensity of interaction between two or more bodies.

¡Hope this helped!

Based on the given information, you can write the following equations for the costs:

y1 = 35x + 75

y2 = 38x

If the cost is the same for both companies, you have:

35x + 75 = 38x

you can solve the previous equation for x to determine the number of people:

35x + 75 = 38x subtract 35x both sides

75 = 38x - 35x

75 = 3x divide by 3 both sides

75/3 = x

25 = x

Hence, the number of people is 25

Answer: The expected value is 12.44

Step-by-step explanation:

The expected value can be calculated as:

EV = ∑xₙ*pₙ

Where xₙ is the n-th outcome. For the case of the spinner we have 3 possible outcomes:

x₁ = 8

x₂ = 6

x₃ = 24

And pₙ is the probability of the n-th event.

For the case of the spinner, the probability of each section will be equal to the quotient between the degrees of each arc, and the total number of degrees in a circle (360°).

First, we can see that for outcome = 8, the angle is a right angle, then it is equal to 90°, then the probability of this event will be:

p₁ = 90°/360° = 0.25

For outcome = 24, we have an angle of 120°, then the probability for this event is:

p₃ = (120°/360°) = 0.33

And the angle for the third arc must be such that:

90° + 120° + A = 360°

then:

A = 360° - 90° - 120° = 150°

Then the probability for the outcome = 6 is:

p₂ = (150°/360°) = 0.42

Now we can find the expected value as:

EV = (8*0.25 + 6*0.42 + 24*0.33) = 12.44

Answer:

area is multiplying

so the first face multiple 8×9 and do it list rest of them

after got all of them add up it and u will get your answer

I hope it's correct and that's how I learned it in my school

I really need brainlist , my teacher gave us this app so the highest person with brainlist wins .

pls

Answer:

The answer is 208.

base edge x base edge = 8 x 8 = 64

bse edge x lateral face = 8 x 9 = 72

72 x 2 = 144

144 + 64 208