The international air transport association surveys business travelers to develop quality ratings for transatlantic gateway airports. the maximum possible rating is 10. suppose a simple random sample of business travelers is selected and each traveler is asked to provide a rating for the miami international airport. the ratings obtained from the sample of business travelers follow. 8 8 4 0 5 5 5 4 4 4 4 3 10 6 10 10 0 8 5 4 3 2 4 7 8 9 10 8 4 5 5 4 4 3 8 9 9 5 3 9 8 8 5 10 4 10 5 5 3 3 develop a confidence interval estimate of the population mean rating for miami. round your answers to two decimal places. ( , )

Answer:

Reason -

In the question it is given that triangle ABC is congruent to triangle DEF

if a triangle is congruent to other triangle than the corresponding parts of it (.ie sides and angles) are equal to that of other

Answer:

38.4 miles per hour

Step-by-step explanation:

30 miles in 45 minutes

18 miles in 30 minutes

Average speed =   total distance / total time

                          =    (30+18) / ( 45 min + 30 min)

                          = 48 miles / ( 1.25 hr ) = 38.4 miles per hour

The taxable capital gains added to the banker’s income move them to a higher tax rate. the statement is true.

Income tax is a tax applied on individuals or entities concerning income or profit earned by them.

Qualified plans provide two tax benefits that are not available in other types of investments.

Tax rates will be higher in the future with the increment of time, but the benefits of the tax-deferred savings plan will overcome higher tax rates over time.

The taxable capital gains added to the banker’s income move them to a higher tax rate. the statement is true.

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Answer:

2y + 3 = 4y + 2; y = 1/2

Step-by-step explanation:

to find this equation we can use the ys and the 1s to create an equation

so

in the left side

there are 2 ys and 3 1s

your equation is

2y + 3

on the other side

it is

4 ys and 2 1s

so

4y + 2 is your equation

then yo uset them equal to each other

2y + 3 = 4y + 2

if you must solve

subtract 2y and 2 from both sides

1 = 2y

then divide both sides by 2

y = 1/2 is your answer

Answer:

20

Step-by-step explanation:

each year each child will get additional age

example 5 children average of the age 20 years old.

after 20 years all of them.will be 20+20=40 years old.

the group of the children not changing but average of the groups will be increase in 20 years.

Cheryl drove at a speed of 65 mph for 1 minute, drove at a constant speed for 5.5 minutes, and then drove at a speed of 45 mph for 2.5 minutes.Option C is correct.

A diagram depicting the relationship between two or more variables, each measured along with one of a pair of axes at right angles.

Cheryl traveled at a steady pace for 5.5 minutes, then 45 mph for 2.5 minutes after traveling at 65 mph for a minute.

Statement C best describes Cheryl's commute.

Hence option C is correct.

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The height at 150°, 240°, and 315° will be 208.66 feet, 169.5 feet, and 40.34 feet, respectively.

The quantity which has magnitude, direction and follows the law of vector addition is called a vector.

A Ferris wheel with a diameter of 214 feet was built in a city.

The top of the wheel stands 223 feet above the ground.

Then the radius will be

r = 214 / 2

r = 107 feet

The distance between the ground and bottom of the Ferris wheel will be

d = 223 – 214

d = 9 feet

Then the height will be given as

h = r(1 – cos θ) + h

h = 107(1 – cos θ) + 9

At θ = 150°, then the height will be

h = 107(1 – cos 150°) + 9

h = 208.66 feet

At θ = 240°, then the height will be

h = 107(1 – cos 240°) + 9

h = 169.5 feet

At θ = 315°, then the height will be

h = 107(1 – cos 315°) + 9

h = 40.34 feet

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The values that make v >= 1 true are 2, 3, 4, 5....

The inequality is given as:

v >= 1

Rewrite properly as:

v ≥ 1

The above means that the true values of v are values greater than 1.

Hence, the values that make v >= 1 true are 2, 3, 4, 5....

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This is a polynomial of degree 4, for each value of x, we get only one value of y, so we conclude that this is a function.

A function is a relation that maps inputs (usually written as x) into outputs (usually written as y). Such that each input is mapped into only one output.

For example, if we had:

y = ±√x

Notice that for the same input x = 1, we would have two outputs:

y = 1 and y = -1.

So that is not a function.

Now, for the given one:

[tex]y = f(x) = 3x^4 - 5x^2[/tex]

This is a polynomial of degree 4, for each value of x, we get only one value of y, so we conclude that this is a function.

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Answer:

Step-by-step explanation:

All you have to do is add the four sides together and that should be your answer.

(B.) 4√37 units

Good luck! Please rate if this helped! <3

Answer:

x=8

Step-by-step explanation:

You cross multiply, 6 times 4 is 24, so what times 3 is 24. 8 times 3 is 24.

Answer:

  x = 8

Step-by-step explanation:

There are several ways you can solve a proportion like this. Most of the algebraic solutions involve what amounts to multiplying both sides by (4x/3). There are also graphical solutions and solutions that rely on relations that make fractions be equal.

__

The method of solution usually recommended is to "clear fractions" and then solve the resulting one-step linear equation. To "clear fractions," multiply both sides of the equation by the least common denominator: 4x.

  [tex](4x)\dfrac{3}{4}=(4x)\dfrac{6}{x}\\\\3\cdot x=4\cdot6\qquad\text{looks like "cross multiplication"}[/tex]

We describe this as "cross-multiplication" because it looks like each numerator has been multiplied by the opposite denominator.

This "one-step" linear equation is solved by dividing by the coefficient of x, which is 3:

  [tex]\dfrac{3x}{3}=\dfrac{4\cdot6}{3}\\\\\boxed{x=8}\qquad\text{simplify}[/tex]

Note that we could have done these operations in one step. The two steps, multiply by 4x and divide by 3, are identical to the one step, multiply by (4x/3).

  [tex]\left(\dfrac{4x}{3}\right)\cdot\dfrac{3}{4}=\left(\dfrac{4x}{3}\right)\cdot\dfrac{6}{x}\\\\\boxed{x=8}\qquad\text{simplify}[/tex]

__

We can see the solution almost immediately if we rewrite the fractions so they have the same numerator.

  [tex]\dfrac{3}{4}=\dfrac{6}{x}\\\\\dfrac{3\cdot2}{4\cdot2}=\dfrac{6}{x}\\\\\dfrac{6}{8}=\dfrac{6}{x}\ \Longrightarrow\ \boxed{x=8}[/tex]

The same thing happens if we multiply the equation by the inverse of either side.

  [tex]\dfrac{3}{4}=\dfrac{6}{x}\ \Longrightarrow\ \left(\dfrac{4}{3}\right)\dfrac{3}{4}=\left(\dfrac{4}{3}\right)\dfrac{6}{x}\ \Longrightarrow\ 1=\dfrac{8}{x}\ \Longrightarrow\ \boxed{x=8}\\\\\textsf{ or ...}\\\\\dfrac{3}{4}=\dfrac{6}{x}\ \Longrightarrow\ \left(\dfrac{x}{6}\right)\dfrac{3}{4}=\left(\dfrac{x}{6}\right)\dfrac{6}{x}\ \Longrightarrow\ \dfrac{x}{8}=1\ \Longrightarrow\ \boxed{x=8}[/tex]

__

If the equation is rewritten to a form that has a value of 0 at the solution, then the x-intercept of the graph will be the solution to the equation.

  3/4 = 6/x . . . . . . . . original equation

  6/x -3/4 = 0   ⇒   f(x) = 0

  f(x) = 6/x -3/4

The graph shows the solution to f(x) = 0 is x=8.

ST and RU are equal,

24x =  23x + 1

Subtract 23x from both sides:

x = 1

Now replace x to solve for ST

24x = 24(1) = 24

ST = 24

The coordinate for the R' is (3, -4) if the R(-4, 3) is reflected in the line y = x option (D) is correct.

It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.

We have:

Image of R(-4, 3) after a reflection in the line y = x

The rule for the reflection over y = x is:

(x, y) = (y, x)

(-4, 3) = (3, -4)

Thus, the coordinate for the R' is (3, -4) if the R(-4, 3) is reflected in the line y = x option (D) is correct.

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Answer:

its 3.348 - crown pls

Step-by-step explanation:

easiest way of doing this is multiplying the total by the known number then put that number on top. After that divide and check if its right

the answer would be 9.88372093e-7

1 )Simplify.

[tex]\frac{850000000000000000}{8.6E}[/tex]+23

2 )Answer

9.88372093e-7

the total area of the figure A = 144.5 cm²

First, the area of a rectangle of length L and width W is:

A = W*L

Here we have:

L = 13cm

W = 9cm

Then the area is:

A = 9cm*13cm = 117 cm²

For a triangle of height H and base B, the area is:

A = B*H/2

Here the base measures 11cm, and the height is:

H = 13cm - 8cm = 5cm

So the area of the triangle is:

A= 5cm*11cm/2 = 27.5cm²

Then the total area of the figure is:

area =  27.5cm² +  117 cm² = 144.5 cm²

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1) [tex]\overline{RS} \perp \overline{ST}, \overline{RS} \perp \overline{SQ}, \angle STR \cong \angle SQR[/tex] (given)

2) [tex]\overline{RS} \cong \overline{RS}[/tex] (reflexive property)

3) [tex]\angle RST[/tex] and [tex]\angle RSQ[/tex] are right angles (perpendicular lines form right angles)

4) [tex]\triangle RST \cong \triangle RSQ[/tex] (AAS)

Answer:

[tex]\fbox {False}[/tex]

Step-by-step explanation:

To convert a degree measure to radian measure, multiply with π/180.

⇒ 180 × π/180

⇒ π radians

false is the answers

please mark me as brainlest

Answer:

1728 cm³

Step-by-step explanation:

 Finding the volume of a cube is a simple process that is easy to remember. The formula for finding the volume of a cube is commonly taught as L × W × H (Length × Width × Height). This formula also works with finding the volume of rectangular prisms.

 Since the shape you're finding the volume of is cube, the length is equal to its width as well as its height.

 The first step of this problem is to plug in known values to the formula. Since length L = 12 cm, width W and height H are also equal to 12 cm.

 12 × 12 × 12 is the new expression. The next step is to simplify this expression by multiplying.

 Based on times tables, 12 × 12 = 144. So, the expression can be partially simplified to 144 × 12 for easier multiplication.

 144 × 12 can be split into an addition problem based on the Distributive Property of Multiplication:

144 × (10 + 2)              Expand the expression to remove parentheses.

144 × 10 + 144 × 2       Multiply 144 × 10 and 144 × 2.

1440 + 288                 Add the two addends.

1728                            Remember to add back the units!

1728 cm³

The volume of a cube with side lengths of 12cm is 1728 cm³.

Note:

This step-by-step explanation is for better understanding how to do this mentally or without a calculator. In a calculator, finding the volume of a cube can be found by inputting either of these:

(Side Length) × (Side Length) × (Side Length) =

(Side Length) [(x³) or (³), depending on the model of calculator] =

Answer:

89

Step-by-step explanation:

Rationalizing the numerator, it is found the result of the limit is given as follows:

[tex]\lim_{h \rightarrow 0} \frac{(\sqrt{x + h} - \sqrt{x})}{h} = \frac{1}{2\sqrt{x}}[/tex]

A limit is given by the value of function f(x) as x tends to a value.

The first step to find the limit is replace the variable by the value, hence:

[tex]\lim_{h \rightarrow 0} \frac{(\sqrt{x + h} - \sqrt{x})}{h} = \frac{0}{0}[/tex]

Undefined limit, hence we have to find another way. The numerator includes square roots, hence it should be rationalized using the subtraction of perfect squares, as follows:

[tex]\lim_{h \rightarrow 0} \frac{(\sqrt{x + h} - \sqrt{x})}{h} \times \frac{(\sqrt{x + h} + \sqrt{x})}{(\sqrt{x + h} + \sqrt{x})} = \lim_{h \rightarrow 0} \frac{(\sqrt{x + h})^2 - (\sqrt{x})^2}{h(\sqrt{x + h} + \sqrt{x})} = \lim_{h \rightarrow 0} \frac{x + h - x}{h(\sqrt{x + h} + \sqrt{x})} = \lim_{h \rightarrow 0} \frac{h}{h(\sqrt{x + h} + \sqrt{x})}[/tex]

Then we simplify the h, so:

[tex]\lim_{h \rightarrow 0} \frac{1}{\sqrt{x + h} + \sqrt{x}} = \frac{1}{2\sqrt{x}}[/tex]

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Answer:

range of f is [0,3]

Step-by-step explanation:

The "square root" symbol, [tex]\sqrt{\text{ \quad }}[/tex], is a function.  As a result, it only has a single output because functions must only have a single output for each input.

Thinking about it graphically, if the square root function did give both a positive and a negative result, the function "f" would not pass the vertical line test and it would not be a function.

When solving an equation like [tex]x^2=25[/tex], to solve, we must apply the square root property.  The square root property says that to find both solutions, one must look at both the positive and the negative of the square root.  So, to solve:

[tex]x^2=25[/tex]

Apply square root property...

[tex]\sqrt{x^2} = \pm \sqrt{25}[/tex]

[tex]x=\sqrt{25}[/tex]  or  [tex]x=-\sqrt{25}[/tex]

[tex]x=5[/tex]  or  [tex]x=-5[/tex]

In this case, because the square root function itself only outputs non-negative results (so, including zero, as you already identified), the range will only be [0,3].

Answer:

5. y = 2/3x + 1

8. y = 4/7x - 4

Step-by-step explanation:

5. (-6, -3) and (6, 5)

You can use the slope formula which is (y2-y1)/(x2-x1) to find the slope and plug it back into the slope-intercept form to find the y-intercept

(5-(-3)) / (6-(-6)) = 8 / 12 = 2/3

slope-intercept form: y=mx+b where m is the slope and b is the y-intercept

to find b you can plug in one of the coordinates and the slope

5 = 6(2/3) + b

5 = 4 + b

1 = b

y = 2/3x + 1

8. (-7, -8), (21, 8)

m = (8 -  (-8)) / (21 - (-7)) = 16 / 28 = 4/7

plug in one of the coordinates and the slope to find b or the y-intercept

8 = 21(4/7) + b

8 = 12 + b

-4 = b

y = 4/7x - 4

Answer:

[tex]\textsf{A)}\quad y=-\sqrt{x}+2[/tex]

Step-by-step explanation:

Parent function:

[tex]y = \sqrt{x}[/tex]

The properties of the parent function are:

From inspection of the graph, as the x-values increase, the y-values decrease. Therefore there has been a reflection in the x-axis.

The y-intercept is now at (0, 2), therefore the function has been translated 2 units up.

Translations

For a > 0

[tex]y=-f(x) \implies f(x) \: \textsf{reflected in the} \: x \textsf{-axis}[/tex]

[tex]f(x)+a \implies f(x) \: \textsf{translated}\:a\:\textsf{units up}[/tex]

Therefore:

Reflected in the x-axis:  [tex]-f(x)=-\sqrt{x}[/tex]

Then translated 2 units up:  [tex]-f(x)+2=-\sqrt{x}+2[/tex]

So the equation that represents the transformed function is:

[tex]y=-\sqrt{x}+2[/tex]

The volume of the square pyramid is the one-third of the square prism with same height and base area. Then the volume of the pyramid will be 120 cubic cm.

Suppose the base of the pyramid has length = L units, width = W units, slant height = K units, and the height of the pyramid is of H units.

Then the volume of the pyramid will be

V = (L × B × H) / 3

The volume of the square prism will be

V = (L × B × H)

Then the volume of the square pyramid is the one-third of the square prism with same height and base area.

[tex]\rm V_{pyramid} = \dfrac{V_{prism} }{3}[/tex]

A rectangular prism has a square base with a width of 6 and a volume of 360 cm³.

If a square pyramid has a base with the same width and height.

Then the volume of the pyramid will be

V = 360 / 3

V = 120 cubic cm

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