Which Box And Whisker Plot Has GREATEST interguartile range? picture below​

Öncelikle verilen A ve B ifadelerinin değerlerini hesaplayalım:

A = (sin x . sec x)² - (tan x . cosec x)²

A = (sin x / cos x)² - (sin x / cos x)²

A = sin² x / cos² x - sin² x / cos² x

A = 0

B = 2 - 2cos² x + cos⁴ x - sin⁴ x

B = 2 - 2cos² x + (cos² x)² - (sin² x)²

B = (cos² x)² - 2cos² x + 2

Şimdi 2A + 3B'yi hesaplayalım:

2A + 3B = 2(0) + 3[(cos² x)² - 2cos² x + 2]

2A + 3B = 3cos⁴ x - 6cos² x + 6

Bu şekilde 2A + 3B ifadesinin ayrıntılı hesaplanması tamamlanmış oldu.

The equation of the parabola to the left in factored form is y = (x - 2)(x - 7).

In Mathematics and Geometry, the general form of a quadratic function can be modeled and represented by using the following quadratic equation;

y = ax² + bx + c

Where:

Next, we would solve the quadratic function by using the factors (zeros or roots) provided as follows;

y = (x - 2)(x - 7)

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Answer:

events at A and B are independent because P(A)(B)≠P(A)

Answer:

This has no answer. Whats the question? Please tell me so I can help you

Is it probability ???

The amount of dry ingredients used in the cake recipe is approximately 7 cups.

We have,

3 ½ cups of flour, 2 ⅔ cups of sugar, and 1 ¾ cups of cocoa.

Now, first convert all quantity in same unit.

3 ½ cups of flour

= 3 cups + 0.5 cups

= 3 cups and 8 ounces.

and, 2 ⅔ cups of sugar

= 2 cups + 0.67 cups,

= 2 cups and 10.72 ounces.

and, 1 ¾ cups of cocoa

=1 cup + 0.75 cups

= 1 cup and 12 ounces.

So, the total amount

= 3 cups and 8 ounces + 2 cups and 10.72 ounces + 1 cup and 12 ounces = 6 cups and 14.72 ounces

= 7 cups

Therefore, the amount of dry ingredients used in the cake recipe is approximately 7 cups.

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To determine what percentage of working adults in your neighborhood regularly ride the bus to work, the best sampling method and survey question are D. Enter the names of all adults in your neighborhood into a computer program to randomly select a sample and ask, "Do you ever ride the bus to work?"

The best sampling method involves random sampling of the population.

A random sample gives each member of the population an equal chance of being selected as a participant in the survey.

It is also described as a probability sampling method.

Thus, in this instance, the correct option is D.

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Answer:

2(x + 6)

Step-by-step explanation:

If we let the number be "x", then the sum of the number and six is x + 6. To find twice the sum, we multiply this expression by 2:

2(x + 6)

Therefore, the expression that represents twice the sum of a number and six is 2(x + 6)

Answer:

Large Number = 34 & Smaller Number = 20

Step-by-step explanation:

1. Define Variables

     Large Number = n

     Smaller Number = s

2. Equations

     n + s = 54

     n - s = 14

3. Combine the Equations

     n + s + n - s = 54 + 14

     2n = 68

     n = 34

4. Find s

     34 + s = 54

     s = 20

Te polynomials are closed under addition and subtraction

This is calculated as

Length 1 and 2 = 8x^2 − 5x − 2 + 7x − x^2 + 3

Evaluate

Length 1 and 2 = 7x^2 + 2x + 1

This is calculated as

Third side = Perimeter - Length 1 and 2

So, we have

Third side = 4x^3 − 3x^2 + 2x − 6 - 7x^2 - 2x - 1

Evaluate

Third side = 4x^3 − 10x^2 − 7

Yes, the answers for Part A and Part B show that the polynomials are closed under addition and subtraction

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Answer:

the answer is true

To find the circumscribed side of a triangle, the steps to follow are:

1. Construct the perpendicular bisector of one of the sides of the triangle.

2. Construct the perpendicular bisector of the second side of the triangle.

3. Identify the point of intersection for the two perpendicular bisectors. This is the circumcenter of the triangle and the center of the circumscribed triangle.

4. Construct a circle that has a radius that is the length from the circumcenter to one of the vertices of the triangle.

A circumscribed triangle is one in which a circle is drawn in the center of the triangle and the circle goes round while touching only three vertices of the triangle.

To draw the circumscribed side of a triangle, you can start by constructing the perpendicular bisector of one of the sides and then the second side. Next, identify the point of intersection, and finally construct the circle.

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1)  Total time elapsed = 4 hours 59 minutes.

2)  Total time elapsed =  6 hours 12 minutes

3)  Total time elapsed =   6 hours 2 minutes

1) Time difference from 12:00 noon to 4:00 p.m = 4 hours

Time difference from 4:00 p.m to 4:59 p.m. = 59 minutes

So, the total time elapsed = 4 hours 59 minutes.

2) The time difference from 1:23 a.m. to 2:00 a.m. = 37 minutes

The time difference from 2:00 a.m to 7:00 a.m. = 5 hours

The time difference from 7:00 a.m. to 7:35 a.m. = 35 minutes

Here, the minutes elasped = 37 + 35

                                             = 72 minutes

                                             = 1 hour 12 minutes

So, So, the total hours elapsed = 5 + 1

                                                    = 6 hours

Thus, the total time elapsed = 6 hours 12 minutes

3) Time difference from 11:28 p.m. to 12:00 midnight = 32 minutes

Time difference from 12:00 midnight to 5:30 a.m. = 5 hours 30 minutes

Here, the minutes elasped = 32 + 30

                                             = 62 minutes

                                             = 1 hour 2 minutes

So, the total time elapsed =  6 hours 2 minutes

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In 5 seconds of free fall at a speed of 165 feet per second, the parachute user will drop around 122.5 meters.

To convert feet per second (ft/s) to meters per second (m/s), we can use the following conversion factor:

1 m/s = 3.3 ft/s

Therefore, the parachutist's rate of 165 ft/s is equivalent to:

165 ft/s × (1 m/3.3 ft) = 50 m/s

Next, we can use the kinematic equation:

d = 1/2 * a * t²

Here d is the distance traveled (in meters), a is the acceleration due to gravity (9.8 m/s²), and t is the time (in seconds).

For 5 seconds of free fall, we have:

d = 1/2 * 9.8 m/s² * (5 s)² = 122.5 m

Therefore, the parachutist will fall approximately 122.5 meters during 5 seconds of free fall at a rate of 165 ft/s.

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The surface area of the square pyramid using given dimensions is given by option a.  3,456m².

In the square pyramid,

Using Pythagoras theorem,

Height of the square pyramid is equal to,

In a right angled triangle,

Base = 18m

Hypotenuse = 30m

Height = √ Hypotenuse ² - base ²

Substitute the values we have,

⇒ height = √ 30² - 18²

⇒ height = √576

⇒ height =  24m

Dimensions of square pyramid are,

Base edge 'b' = 36m

height of the pyramid 'h' = 24m

Surface area of square Pyramid = b² + 2b√(b²/4) + h²

Substitute the values we have,

⇒Surface area of square Pyramid

= 36² + 2(36)√((36)²/4) + (24)²

= 1296 + 72√324 + 576

= 1296 + 2160

= 3,456m²

Therefore, the surface area of square Pyramid is equal to option a.  3,456m².

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Answer:

y + 5 = 3y - 1

2y = 6, so y = 3

4x - 2 = x + 10

3x = 12, so x = 4

The inverse function of the function f(x) is [tex]g(y) = 9 - 3^-^(^y^ + ^1^/^2^)[/tex]

To find the inverse of the given function f(x) = -(1/2) - log₃√(9-x)

we need to solve for x in terms of y, where y = f(x).

Replace f(x) with y

Function y = -(1/2) - log₃√(9-x)

Solve for x

First, isolate the logarithmic term on one side of the equation.

y + (1/2) = -log₃√(9-x)

[tex]3^-^(^y^ +^ 1^/^2^) = 9-x[/tex]

[tex]x = 9 - 3^-^(^y^ + ^1^/^2^)[/tex]

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The measure of angle A in triangle ABC is approximately 113.8 degrees.

To find the measure of angle A (LA) in triangle ABC, we can use the Law of Cosines:

c² = a² + b² - 2ab*cos(C)

where c is the length of the side opposite to angle C, and a and b are the lengths of the other two sides.

In this case, we want to find LA, which is opposite to side a (BC). So we can rewrite the Law of Cosines as:

cos(A) = (b² + c² - a²) / 2bc

Plugging in the values we have:

cos(A) = (24.1² + 15.7² - 25.3²) / (2 * 24.1 * 15.7)

cos(A) = -0.3694

Now we need to find the inverse cosine (cos⁻¹) of -0.3694 to get the measure of angle A:

A = cos⁻¹(-0.3694)

Using a calculator, we get:

A ≈ 113.8 degrees

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Answer:

[tex]x=4.865[/tex]

Step-by-step explanation:

We know the area of a rectangle to be [tex]base*height[/tex]. In this instance, [tex]base=(2x+10)in[/tex], [tex]height=(3x) in[/tex], and [tex]area=288in^2[/tex]

The next step is to plug these known values into the [tex]area=base*height[/tex] equation. It'll look like this:

[tex]288=(2x+10)*(3x)=6x^2+30x[/tex]

This simplifies to:

[tex]48=x^2+5x[/tex]

Next, we want to rewrite the equation so we can apply the quadratic formula to it. We are going to do this by subtracting 48 from each side. The new equation looks like this:

[tex]x^2+5x-48=0[/tex]

Next, we plug this into the quadratic formula:

[tex]x=\frac{-(5)+\sqrt{5^2-4(1)(-48)} }{2(1)}=4.865[/tex]

[tex]x=\frac{-(5)-\sqrt{5^2-4(1)(-48)} }{2(1)}=-9.865[/tex]

The second value of x is negative, and since a side length cannot be negative this leaves us with just the first answer of [tex]x=4.865[/tex].

Answer:

[tex]\Large \boxed{\boxed{\textsf{$\therefore x=4.87 $ in}}}[/tex]

Step-by-step explanation:

The area of a rectangle is equal to the base × height:

[tex]\large \textsf{$\rm A $ $= (2x+10)\times(3x)$}\\ \\\large \textsf{$\rm \phantom{A}=$ $6x^2+30x$, and since A = 288,}\\ \\\large \textsf{$\therefore 288 = 6x^2+30x$}[/tex]

Rearranging this equation, we get:

[tex]\large \textsf{$6x^2+30x-288=0$}\\\\\large \textsf{$6(x^2+5x-48)=0$}\\\\\large \textsf{$\therefore x^2+5x-48=0$}[/tex]

Here we are left with a quadratic equation, which we can solve using the quadratic formula:

[tex]\Large \boxed{\textsf{$x = \frac{-b\pm \sqrt{b^2-4ac}}{2a}$}} \textsf{ where $ax+bx+c=0$}[/tex]

Plugging values into the formula, we get:

[tex]\Large \textsf{$x = \frac{-(5)\pm \sqrt{(5)^2-4(1)(-48)}}{2(1)}$} \\\\\Large \textsf{$x=4.87, -9.87$,} \large \textsf{ but length cannot be negative.}\\\\\Large \boxed{\boxed{\textsf{$\therefore x=4.87 $ in}}}[/tex]

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Answer:

    [tex]\textsf{Choice A } \quad y = \dfrac{5}{3}x + 1[/tex]

Step-by-step explanation:

Slope intercept form of a line equation is

y = mx + b

where

m = slope

b = y-intercept

A perpendicular line to y = mx + b will have a slope of -1/m

Let's first find the equation for line z in slope-intercept form
Slope m for a line  = (y2- y1)/(x2 - x1) where x1, y1 and x2, y2 are two points on the line

Slope of line z is
[tex]m = \dfrac { 2 - (-1) }{-2 - 3} = \dfrac{3}{-5} = - \dfrac{3}{5}[/tex]

So line z will have an equation of the form
[tex]y = -\dfrac{3}{5}x + b[/tex]

We know that a line perpendicular to this line will have a slope of
[tex]- \dfrac{1}{-\dfrac{3}{5}} = \dfrac{5}{3}[/tex]

So the equation of the perpendicular line is
[tex]y = \dfrac{5}{3}x + b[/tex]

Only one of the 4 choices, name choice A has this slope of 5/3

Therefore the correct answer choice is A

There is no need to compute b, the y intercept but if you wanted to, this is how you would do it:

The perpendicular line passes through (3, 6). This means when x = 3, y =6

Substitute these values of x, y into the equation for the perpendicular line and solve for b

[tex]y = \dfrac{5}{3}x + b\\\\\text{When x = 3, y = 6}:\\\\6 = \dfrac{5}{3} \cdot 3 + b\\\\6 = 5 + b\\\\b = 6 - 5 = 1\\\\\text{So, the equation of the perpendicular line is }\\y = \dfrac{5}{3}x + 1[/tex]

This corresponds to Choice A

The crime that is often alcohol related is domestic violence. That is option D.

Domestic violence is defined as an abusive relationship that exist between two or more individuals that are closely related by blood or marriage.

The causes of domestic violence include the following:

Therefore, alcohol intake can lead to domestic violence because it can cause the abusive partner to have a reduction in cognitive and physical functions that impair self-control, with the consequent effect of reducing the ability to resolve conflicts nonviolently.

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A linear equation that describe how x and y are related include the following: A. y = -8x.

In Mathematics and Geometry, a proportional relationship refers to a type of relationship that produces equivalent ratios and it can be modeled or represented by the following mathematical equation:

y = kx

Where:

Next, we would determine the constant of proportionality (k) by using various data points as follows:

Constant of proportionality, k = y/x

Constant of proportionality, k = 24/-3 = 16/-2 = 8/-1 = -8/1 = -16/2

Constant of proportionality, k = -8.

Therefore, the required linear equation is given by;

y = kx

y = -8x

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The probability distribution for X is given below:

Probability of no even number, (X = 0)= 1/2

Probability of one even number, (X = 1) = 1/2

Probability of two even numbers, (X = 2) = 1/8

The probability distribution for X is found as follows:

The probability that an even number is not selected i.e. X = O

P(X = 0) =  (2/4 * 2/4) + (2/4 * 2/4)

P(X = 0) = 1/2

The probability that an even number is selected once i.e. X = 1

P(X = 1) =  (2/4 * 2/4) + (2/4 * 2/4)

P(X = 1) = 1/2

The probability that an even number is selected twice i.e. X = 2

P(X = 2) = 2/4 * 2/4

P(X = 2) = 1/8

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Answer: -2

Step-by-step explanation:

You can see it clearly passes through an origin consisting of -2

Answer:

Step-by-step explanation:

A -5        

The indefinite integral of ∫ (4x⁴ - 5)⁵ . 32x³ dx is (4x⁴ - 5)⁶/3 + C.

The solution of the indefinite integral is calculated by using substitution method.

Let u = 4x⁴ - 5

du/dx = 16x³

dx = du/(16x³)

Substituting into the integral;

∫ (4x⁴ - 5)⁵ . 32x³ dx =  ∫ u⁵ . 32x³ du/(16x³)

∫ u⁵ . 32x³ du/(16x³) =  ∫ 2u⁵ du

∫ 2u⁵ du =  2∫u⁵ du

2∫u⁵ du = 2 (u⁶/6 + C)

2 (u⁶/6 + C)  = u⁶/3 + C

Substituting back for u;

∫ (4x⁴ - 5)⁵ . 32x³ dx = (4x⁴ - 5)⁶/3 + C

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Answer: 5:9

Step-by-step explanation:

Hope this helps! :)

The answer is  960in² (Option C) This is a geometry prompt involving hexagonal shape.

Since there are 6 congruent triangles, you find the area of 1 of the triangles and multiply by 6

Area of 1 triangle:

1/2bh = 1/2 (9 in) (10 in)

=1/2 (90 sq in.)

= 45 sq in.

Area of 1 hexagon is 6 (45 sq. in) = 270 sq. in.

There are 2 hexagons in the net, so multiply by 2

Area of 2 hexagons is...

2 (270 sq. in) = 540 sq. in.

Then find the area of the rectangular sides...which will be the 6 small squares shown on the first picture

**the rectangles each have 1 side that is equal to 1 side of the hexagon and 1 side is equal to the height of the prism.

Area of 1 rectangle side

lw = (10 in) (7in.)

= 70 sq. in.

multiply all of the 6 sides of the area

=6 (70 sq.in)

=420 sq. in

Then add the area of the 2 hexagons to the area of the 6 rectangular sides

Total area = 540sq. in + 420sq. in

= 960sq. in.

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The preceding polynomial equation has three solutions: z = 0, z = 3/4, and z = -1/5.

First, we can factor out a common factor of z:

z(20z² - 11z - 3) = 0

Now we need to factor the quadratic expression in the parentheses.

We can use the quadratic formula or factor by grouping to do this. Factoring by grouping yields:

z(20z² - 11z - 3) = 0

z(4z - 3)(5z + 1) = 0

Setting each of the factored terms equal to zero, we have:

z = 0, 3/4, -1/5

Therefore, the solutions to the given polynomial equation are z = 0, z = 3/4, and z = -1/5.

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Answer:

The company charged $500 for its services,and Mia gives the movers a 16% tip. Now, we can add the tip amount to the cost of the service to find the total amount Mia paid: Total amount = Cost of service + Tip amount = $500 + $80 = $580

Step-by-step explanation:

Answer:

[tex]r = \sqrt{ {8.6}^{2} - {5}^{2} } [/tex]

[tex]r = \sqrt{73.96 - 25} = \sqrt{48.96} = 6.997[/tex]

The closest answer is b.