a ramp was constructed to load a truck. if the ramp is 10 ft long and the horizontal distance from the bottom of the ramp to the is 8 ft, what is the height from the ground to the top of the ramp?

Answer:

a)

the probability that Celia is first in line is 1/n.

b)

the probability that Celia is first in line and Felicity is last in line is 1/n(n-1)

c)

the probability that Celia and Felicity are next to each other in the line is 2/n

Step-by-step explanation:

Given the data in question;

a) Celia is first in line?

the total ways are; n! to place n kids in n places in orderly fashion.

now, if Celia is the first kid, we have to order remaining n-1 kids

(n-1)! / n! = 1/n

therefore, the required probability is 1/n.  

b)  Celia is first in line and Felicity is last in line?

the total ways are; n! to place n kids in n places in orderly fashion,

now, if Celia is the first and Felicity is the last kid, we order the remaining n - 2 kids, which can be done in (n-2)!

(n-2)! / n! = 1 / n(n-1)

therefore, the required probability is 1 / n(n-1)

c) Celia and Felicity are next to each other in the line

the total ways are; n! to place n kids in n places in orderly fashion,

now, if Celia and Felicity as single object, so that they can be put together, we arrange n-1 objects which can be done in (n-1)! ways.

But also these 2 can change the place so in total there are 2(n-1)! ways.

2(n-1)! / n! = 2/n

Therefore, the required probability is 2/n

Answer:

5

Step-by-step explanation:

First,let find the area of AMY. It is given that

Am=5

MY=7

AY=3

We can add up those numbers to find the perimeter.

5+7+3=15.

2. Since AMY and MEG are similar shapes, there side lengths are proportional, and their perimeter is also proportional.

The only transformation that can accomplish that is a dilation.

MEG is a dilation of AMY by 1/3. so that means MEG is 3 times smaller than AMY.

We would just divide 3 by the perimeter of AMY to find MEG.

[tex] \frac{15}{3} = 5[/tex]

Answer:

Original Price was $27.00

Step-by-step explanation:

27*.30=8.10

Answer:

x=-36

Step-by-step explanation:

Answer:

y=4

Step-by-step explanation:

Answer:

x=2

Step-by-step explanation

x=2 is where you could fold the quadratic function and have the sides overlap perfectly

The number of oranges in the shipment can the manager predict weighing 5 ounces would be; 56.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

The relations between variables, either direct or inversely proportional, can be built to find the desired measures in the problem.

Given that a grocery store receives a shipment of 700 oranges the manager randomly selects 25 oranges to weigh in that sample 2 oranges weigh 5 ounces.

Now set up a proportion;

2/25 = (x)700

Cross multiplication;

700(2)= 25(x)

1400/25=x

x=56

Therefore, the number of oranges in the shipment can the manager predicts weighing 5 ounces would be; 56.

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Answer:

The answer is 20

Step-by-step explanation:

In ratio what you do one side you do on the other side 5:4=25:20

5×5=25

4×5=20

Answer:

x = 3

Step-by-step explanation:

Since, 2 is the arithmetic mean of 1-2x and 3x.

Therefore,

[tex] \frac{1 - 2x + 3x}{2} = 2 \\ \\ \frac{1 + x}{2} = 2 \\ \\ 1 + x = 4 \\ \\ x = 4 - 1 \\ \\ x = 3[/tex]

The key features of the quadratic function are

From the question, we have the following parameters that can be used in our computation:

y = -x² + 4x - 3

A quadratic function is represented as

y = ax² + bx + c

By comapring the equations, we have

a = -1, b = 4 and c = -3

For the key features

Axis of symmetry: x  = -b/2a

So, we have

x  = -4/(2 * -1)

x  = 2

The domain of the function is the set of all real values

For the vertex, we have

(h, k) = (symmetry, f(symmetry))

So, we have

y = -2² + 4(2) - 3

y = 1

So, the vertex is (2, 1)

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Answer:

Hope this helps!!!! ;)

Step-by-step explanation:

Answer: B for sure

Step-by-step explanation:

Answer:

$80 interest will be owed for 4 months

Step-by-step explanation:

P is the principal amount, $4000.00.

r is the interest rate, 8% per year, or in decimal form, 8/100=0.08.

t is the time involved, 3....month(s) time periods.

Since your interest rate is "per year" and you gave your time interval in "month(s)" we need to convert your time interval into "year" as well.

Do this by dividing your time, 3- month(s), by 12, since there's 12 months in 1 year.

So, t is 0.25....year time periods.

To find the simple interest, we multiply 4000 × 0.08 × 0.25 to get that:

Answer:

function

Step-by-step explanation:

y = 6x^2 +x+7

This is an upward facing parabola

This relation will pass the vertical line test.

This relation is a function

BC AB AC

Step-by-step explanation:

the longer the side is visually detected ok

Answer:

150

Step-by-step explanation:

20 percent of 150 is 30.

To check the answer... 150 times 0.2 is 30.

Answer:

150

20 percent of what number equals 30; Answer: 150.

Step-by-step explanation:

20% of what is 30?

Written using the formula: X = 30 ÷ 20%

Convert the percent to a decimal.

20% ÷ 100 = 0.2.

X = 30 ÷ 0.2.

X = 150.

So 20% of 150 is 30.

Answer:

9). x = 36.9°

10). x = 18.3°

Step-by-step explanation:

9). By applying tangent rule in the given triangle,

   tan(x) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]

   tan(x) = [tex]\frac{9}{12}[/tex]

   x = [tex]\text{tan}^{-1}(\frac{3}{4})[/tex]

   x = 36.87°

   x = 36.9°

10). By applying sine rule in the given triangle,

   sin(x) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]

   sin(x) = [tex]\frac{11}{35}[/tex]

   x = [tex]\text{sin}^{-1}(\frac{11}{35})[/tex]

   x = 18.32

   x ≈ 18.3°

Answer:

y = (-1/2)x-9

Step-by-step explanation:

the slope is -1/2 and the y-intercept is -9 plug that into y=mx+b is y = (-1/2)x-9.

The reflected coordinates of the triangle along y = 3 are  X'(0, - 1), U'(3, - 1) and L'(3, - 5).

Two-dimensional figures can be transformed mathematically in order to travel about a plane or coordinate system.

Dilation: The preimage is scaled up or down to create the image.

Reflection: The picture is a preimage that has been reversed.

Rotation: Around a given point, the preimage is rotated to create the final image.

Translation: The image is translated and moved a fixed amount from the preimage.

Given, a triangle is reflected along y = 3.

First, the coordinates (x, y) of the triangle are X(0, 5), U(-3, 5) and L(-3, 1).

We know reflected along the y-axis is (-x, y) so reflection along y = 3 is

(-x, y - 2×3).

∴ X'(0, - 1), U'(3, - 1) and L'(3, - 5).

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Answer: B.) I and II

Step-by-step explanation: remember doing this in like- middle school so you're welcome! it should be the right answer(:

Answer:

please ask a question properly i dont even know what you mean

Answer:

35 degrees

Step-by-step explanation:

the 35 degrees in blue and the orange x angle are corresponding angles

Answer:

$2100

Step-by-step expla35 x 4 = 140 140 x 15 =  2100

Answer:

Volume of cube = 125 cm³

Step-by-step explanation:

Given:

Side of cube = 5 cm

Find:

Volume of cube

Computation:

Volume of cube = side³

Volume of cube = 5³

Volume of cube = 125 cm³

Answer:

The perimeter can not be 26 inches

Step-by-step explanation:

Given

[tex]Side\ 1 =19[/tex]

[tex]Side\ 2 =16[/tex]

Required

Is a perimeter of 26 possible?

First, calculate the possible side 3

[tex]Side\ 3 = Perimeter - Side\ 1 - Side\ 2[/tex]

[tex]Side\ 3 = 26 - 16 - 19[/tex]

[tex]Side\ 3 = -9[/tex]

The side length can not be negative.

So, the perimeter can not 26 inches

Answer:

i think you cn use frction

Median is the middle value.

Each set has 7 numbers so put the numbers in order from smallest to largest. The median would be the 4th number in the sets.

Only 2 sets have the number 15 in them so those are the only two you need to look at.

The 3rd choice is the correct answer.