The builder of a parking garage wants to build a ramp at an angle of 16 degrees covers a horizontal span of 55 feet. How long will the actual ramp be? Round yoursolution to four decimal places.

One observation (210) given a test at the end of the movie to measure their recall is an outlier because it is above the fence above, as can be seen.

Data should first be arranged as follows in ascending order:

10, 22, 26, 27, 28, 31, 35, 40, 49, 57, 58, 61, 61, 62, 86, 86, 87, 88, 92, 97, 101, 210

There are n = 22 observations. Here n is even. Hence median is the mean of the middle two observations.

Median = (11 + 12) th observation /2 = (58 + 61)/2 = 59.5

We now divide the ordered data equally into two halves. Therefore, there are 11 observations in the lower section and 11 observations in the upper part.

The first quartile now corresponds to the median of the lower half.

Q1 = [(11 + 1)/2] the observation = 6th observation = 31

The third quartile represents the upper half part's median.

Q3 = [(11 + 1)/2] the observation = 6th observation = 87

IQR = Q3 - Q1 = 87 - 31 = 56

Lower fence = Q1 - 1.5 × IQR = 31 - 1.5 × 56 = -53

Upper fence = Q3 + 1.5 × IQR = 87 + 1.5 × 56 = 171

One observation (210) is an outlier since it is above the upper fence, as can be seen.

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Step-by-step explanation:

Original Equation:

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

Subtract 5 from both sides

[tex]x^2 = -5[/tex]

Take the square root of both sides

[tex]x=\pm\sqrt{-5}[/tex]

Simplify

[tex]x=\pm i\sqrt{5}[/tex]

Thus we have two non-real solutions, and zero real solutions. This implies that the graph will never cross the x-axis when graphing the function out, because it has no real solutions.

Answer:

solution:

Here,3[ 2^(x-3) ] = 384

or,     2^(x-3)       =  ( 384 /3 )

or,     2^(x-3)       =  128

or,     2^(x-3)       =  2^(7)

or,     x                =  7+3

Answer:

108°

Step-by-step explanation:

[tex]m\angle 3=72^{\circ}[/tex] (corresponding angles)

[tex]m\angle 1=108^{\circ}[/tex] (linear pair)

a) 7 - 5 = 12

2 = 12 This is not a solution

b) 5 + 7 = 12

12 = 12 This is a solution

c) 7 + 12 = 19

19 = 19 This is a solution

d) x - 5 = -12

7 - 5 = -12

2 = -12 This is not a solution

EXPLANATION

The coordinate for point A is x=9

To calculate the 60% of 90, we need to understand what means 60% in terms of fractions. Converting a percentage into a fraction has a simple method: Dividing the percentage by 100. So 60% in fraction form is just

Now, to solve the problem, we only need to multiply our number 90 by this fraction; it gives us

Thus the 60% of 90 is 54.

The angle BOC has a measure of 50 degrees

From the question, the given parameters about the angles are:

The above parameters implies that

AOC = AOB + BOC

Next, we substitute the angle measurements in the above equation

So, we have

142 = 9x + 20 + 7x - 6

Evaluate the like terms

So, we have the following equation

142 = 16x + 14

Evaluate the like terms again

So, we have the following equation

16x = 128

Divide both sides by 16

x = 8

Substitute x = 8 in BOC = 7x - 6

BOC = 7 x 8 - 6

Evaluate

BOC = 50

Hence, the measure of the angle is 50 degrees

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The perimeter of a figure is found adding the length of all its sides.

In this case, the perimeter is:

P = (x + 6) + (3x - 2) + (x- 3) + (x+ 2) + (x) + (x + 5)

P = (x +3x + x +x + x + x) + (6 - 2 -3 +2 + 5)

P = 8x + 8

In order to determine the weighs of the boxes, name x as the larger box and y as the smaller one.

Then, based on the given situation, you can write the following equations:

3x + 2y = 86

8x + 4y = 209

Solve the previous system of equations as follow:

Multiply the first equation by -2 and add the result to the second equation:

(3x + 2y = 86)(-2)

-6x - 4y = -172

8x + 4y = 209

-6x - 4y = -172

2x = 37

Solve the previous equation for x by dividing by 2 both sides:

x = 37/2

x = 18.5

Next, replace the previous value of x into any of the equations of the system, for instance, into the first equation, and solve for y:

3x + 2y = 86

3(18.5) + 2y = 86

55.5 + 2y = 86

2y = 86 - 55.5

2y = 30.5

y = 30.5/2

y = 15.25

Hence, the weighs of the boxes are:

larger box = 18.5 kg

smaller box = 15.25 kg

To find the volume of the computer, we just have to multiply each coordinate.

The equation which is helpful to determine x, the cost of the labor per hour is 4.25x + 54 = 585.25.

Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.

Given that,

x is the labor cost per hour.

The technician worked on the computer for 4.25 hours.

Total labor cost = 4.25x

The total parts cost = $54

The total charged cost = total parts cost + total labor cost

585.25 = 54 + 4.25x

4.25x + 54 = 585.25

Hence "The equation which is helpful to determine x, the cost of the labor per hour is 4.25x + 54 = 585.25".

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f(x)= x^2

To shift 5 units to the right subtract 5 to x .

g(x)= (x-5)^2

The co ordinates of the point B is (12, 12)

Given,

The co ordinates:

Point C = (6, 9)

Point A = (4, 8)

Point B = (x, y)

AC : CB(m : n) = 1 : 3

We have to find the co ordinates of point B.

Lets use the formula to find the coordinates of point C.

C = 1 / (m + n) × (mx₂ + nx₁, my₂ + ny₁)

Where,

C = (6, 9)

m = 1

n = 3

x₁ = 4

x₂ = x

y₁ = 8

y₂ = y

So,

(6, 9) = 1 / (1 + 3) × ((1 × x) + (3 × 4), (1 × y) + (3 × 8))

(6, 9) = 1/4 × (x + 12, y + 24)

(6 × 4, 9 × 4) = (x + 12, y + 24)

(24, 36) = (x + 12, y + 24)

Lets evaluate:

x + 12 = 24 and y + 24 = 36

Solve for x,

x + 12 = 24

Add -12 to both sides

x + 12 - 12 = 24 - 12

We get,

x = 12

Now solve for y,

y + 24 = 36

Add -24 to both sides

y + 24 - 24 = 36 - 24

We get,

y = 12

That is, the co ordinates of the point B is (12, 12)

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Answer it is c because when you multiply 12 x 5 you get 60 right so round up to the nearest number 62 an u can't subtract or divide you won't get a or b

The equations that represent the diagram given are 7 + 8h = 167, 8h = 160

To find the equation that represent the situation, we should simply count the number h present in the diagram, add it to 7 and equate the entire length to 167 which is the length of the tube.

This can be represented mathematically as

[tex]7 + h + h + h + h + h + h + h + h = 167[/tex]

we can simplify this further as

[tex]7 + h + h + h + h + h + h + h + h = 167\\7 + 8h = 167\\[/tex]

This can also be simplified as

[tex]7 + 8h = 167\\8h = 167 - 7\\8h = 160[/tex]

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Answer:

15

Step-by-step explanation:

5/2=2.5

35/2.5=15

Step-by-step explanation:

To make 5 batches of cookies, 10 cups of flour are required.

To make 1 batch of cookies:

10 cups ÷ 5 cups = 2 cups of flour

Given:

9x+5y=28

5x+9y=56

Required:

To calculate the solution of the system

Explanation:

Rearrange like terms to the same side of the equation

Required answer:

Option B

Answer:

The answer is 5

Step-by-step explanation:

( 4k+2 ) / 10 = x

( 4(12) + 2 ) / 10 = x

( 48 + 2 ) / 10 = x

50 / 10 = x

x = 5

Answer:

C. (5, 5)

Step-by-step explanation:

To do this, you take each coordinate and perform the function that is shown in the translation.

So for (x-2, y+3),

you are going to take the x value of the coordinate you are given:

(7,2) and subtract 2, and then take the y value of (7,2) and add 3.

(7 - 2, 2 + 3)

Then solve this:

(5, 5)

We have that approximately, the distance from Saturn to Jupiter is:

and the distance from Jupiter to Mars approximately is:

then, the total distance traveled would be the sum of these two quantities:

therefore the total distance is 7.98x10^8 miles

1) Let's write the inequality and solve it

w+3≥-22 Subtracting 3 from both sides

w ≥ -22 -3

w ≥ -25

2) Now let's write the solution as an interval. Considering that the solution is a set for all values greater than or equal to -25 for w. Including the -25 (closed) up to infinite (open).

Let's use some examples where we have order of operations and also there are negative numbers and signs involved:

Let's evaluate the following:

(-4) x 5 + (-6)

So order of operations tells us to first take care of the multiplications and after that, deal with the additions or subtractions.

So the multiplication goes first here:

(-4) times 5 = - 20

Recall that a positive number times a negative number gives alwasy a negative number. So negative times positive gives the negative sign to the multiplication, and then, once the sign is taken care of, you multiply the numbers (4 x 5 = 20)

Next, we do the indicated addition

-20 + (-6) = -20 - 6 = -26

weher again we use the property that the + times the - inside the parenthesis gives a minus. ad we finalize by doing -20 - 6 = -26 (combining of two negative numbers).

Another example:

(8 + (-5)) x (-8)

So we first work on solving what is inside the first parenthesis :

8 + (-5) this is 8 - 5 (as we did before, the plus outside the parenthesis where -5 is, results in a minus sign as it multiplies the "-" that is shown ahead of 5.

So, inside this parenthesis we get: 8 - 5 = 3

Now we are left to multiply 3 times (-8)

This is a product of a positive number (3) times a negative number (-8). Again, do the rule for product of the signs (positive times negative equals negative) , ad then the product of the numbers: 3 x 8 = 24

so the answer is - 24

Another example:

(-9) x ((-10)+ 10)

We need to start by solving the operation indicated inside the parenthesis:

(-10) + 10 This is the same as: - 10 + 10 = 0

Now, whenwe use this result in the full expression, we get:

(-9) x 0 = 0 SInce any number multiplied times zero is zero.

Answer:

she has left 28 unsolved problem or whatever it is

Step-by-step explanation:

48:12=4

4x7=27

The complete table describing the probability distribution of X is:

x        |      P(x)    

0             0.027

1               0.189

2              0.441

3               0.343

The values of the random variable X are given and the corresponding probabilities are to be found.

The probability distribution is binomial.

That is, P(X = x) = ⁿCₓ pˣ (1-p)ⁿ⁻ˣ, where p is the probability of success of X in n trials.

So here values of x are given.

From the table, it is clear that p = 0.7

and  1-p = 0.3

Number of trials, n = maximum number of x = 3

Now consider each x.

When x = 2,

P(X = 2) = P( getting 2 tails out of 3 flips)

             = P(TTH or THT or HTT)

             = P(TTH) +P(THT) +P(HTT)  [since each of them are independent events]

             = ³C₂ p²(1-p)³⁻²

             = 3 (0.7)²(0.3)

             = 0.441

When x = 3,

P(X = 3) = P( getting 3 tails out of 3 flips)

             = P(TTT)

             = ³C₃ p³(1-p)³⁻³

             = 1 (0.7)³(0.3)⁰

             = 0.343

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Answer:

The answer to your question is:

False.

Step-by-step explanation:

If prices increase, then no one would want to buy the product. No one would come.

Therefore, the correct answer is;

When prices increase, supply decreases.

By comparing both polygons, we can tell that they are not the same polygon, since one of the sides has length 11 in one trapezoid and 12 in the other. So, this polygons are similar. We notice that the variables X and Y are part of the angles. In polygons that are similar, the measure of the homologous angles are equal. By homologous we mean angles that are located at the same place in both figures. To determine the homologous angles, we should have both figures drawn in the same orientation. To do so, we will flip the trapezoid on the left, so its orientation matches the one fromt the right. I picture of this flipping would be

From this picture, by comparing it to the other polygon, we determine that the angle EDC is homologous to the angle UTS. So, their measure should be the same. So, we get the following equation

By adding 37 on both sides and subtracting y on both sides, we get

This implies that y = 39°.

By doing the same procedure, we find that the angles URS and CBE are homologous. So their measures are equal and we get the equation

Then, by subtracting 13 on both sides

If we divide both sides by 2 we get

So x = 19°.

The expression that is equivalent to the expression illustrated is 1/12g - 18.

It should be noted that an expression is used to show the relationship between the variables.

The expression will be illustrated as:.

= 5/4g - 3 - 7/12g - (1/3g + 15)

= 5/4g - 3 - 7/12g - 1/3g - 15

= 5/4g - 7/12g - 1/3g - 3 - 15

= 15/12g - 7/12g - 4/12g - 18

= 1/12g - 18

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1) [tex]VX=ZX, \angle XVY=\angle XZW[/tex] (given)

2) [tex]\angle X=\angle X[/tex] (reflexive property)

3) [tex]\triangle VXY \equiv \triangle ZXW[/tex] (ASA)