The average sale price (online) for a certain brand of professional mountain bike is approximately normally distributed with a mean of $4,200 and a standard deviation of $250.

Find the 30th percentile of this distribution.

The required transformation would be in the variable because the slope of parallel lines is always the same.

A line can be defined by the shortest distance between two points is called as a line.

Here,
Line MR is drawn with the endpoints M and R, and another line M'R' is drawn which is parallel to line MR. There is a property of parallel lines that the slope of the parallel lines is always equal. , So the slope of lines are equal there must be a change in variable x and y which describes the translation of the line M'R'.

Thus, the required transformation would be in the variable because the slope of parallel lines is always the same.

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The matching of the probability will be:

Flip a coin 3 times and get heads every time. = 1/8.

Flip a coin to get tails up and roll a number cube to get an even number. - 1/4

Roll a number cube and get a 4 and 5 - 1/36

Draw an ace and then a 7 from a deck of cards with replacement - 1/169.

Flip a coin 3 times and get heads every time will be:

= (1/2)³

= 1/8.

Flip a coin to get tails up and roll a number cube to get an even number will be:

= 1/2 × 3/6

= 3/12

= 1/4

Roll a number cube and get a 4 and 5 will be:

= 1/6 × 1/6

= 1/36

Draw an ace and then a 7 from a deck of cards with replacement is 1/169.

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The completed statement is

         i) f(4) is 1/2

         ii) f(x) = 4 when x is 8

A domain of a function refers to "all the values" that go into a function. The domain of a function is the set of all possible inputs for the function.

The range of a function is the set of all its outputs.

According to the question the ordered pairs are given as

      R = { (8,4) , (-2/3,3) , (11,-1) , (4,1/2)}

Here the domain are  : ( 8,-2/3,11,4)

and range are : (4,3,-1,1/2)

Hence the values are :

   i) f(4) = 1/2

   ii) f(x) = 4 when x = 8

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The value of different f(x) for different value of 'x' in the given graph is f(-3) = -1 , f(-2)=0. f(-5)= 3, f(-4) =0

Given that, The f(x) graph we can observe that it is a shifted parabola.

We can translate the parabola vertically to produce a new parabola that is similar to the basic parabola. The function [tex]y=x^2 + b[/tex] has a graph which simply looks like the standard parabola with the vertex shifted b units along the y-axis. Thus the vertex is located at (0,b). If b is positive, then the parabola moves upwards and, if b is negative, it moves downwards.

Similarly, we can translate the parabola horizontally. The function[tex]y =(x-a)^2[/tex]has a graph which looks like the standard parabola with the vertex shifted a units along the x-axis. The vertex is then located at (a,0). Notice that, if a is positive, we shift to the right and, if a is negative, we shift to the left.

So, for the given question

b = parabola shift unit along y-axis = -1 units

a = parabola shift unit along x-axis = -3 units

So, equation of parabola = [tex]f(x)=y = (x+3)^2-1[/tex]

Now,

for x = -3. f(-3)=[tex](-3+3)^2-1=-1[/tex]

So, f(-3)= -1

x = -2. f(-2)=[tex](-2+3)^2-1=0[/tex]

So, f(-2)= 0

x = -5. f(-5)=[tex](-5+3)^2-1 = 3[/tex]

So, f(-5)= 3

x = -4. f(-4)=[tex](-4+3)^2-1=0[/tex]

So, f(-4)= 0

Therefore, from the graph f(x),  value of f(x) for diiferent value of x is f(-3)=-1. f(-2)=0.f(-5)=3.f(-4)=0.

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The value of x is 3 and the measure of each side of isosceles ΔMNP is:

MN = 13

NP = 13

PM = 11

We know that, in an isosceles triangle, any two sides of the triangle are equal and the angle opposite to these sides are equal in measure.

In this question, we have been given an isosceles ΔMNP with MN ≅ NP .

Also we have been given some statements about the sides of  isosceles ΔMNP.

MN is two less than five times x.

We write above statement as mathematical expression.

MN = 5x - 2

NP is seven more than two times x.

We write above statement as mathematical expression.

NP = 7 + 2x

And PM is two more than three times x.

We write above statement as mathematical expression.

PM = 2 + 3x

As  MN = NP

⇒ 5x - 2 = 7 + 2x

⇒ 5x - 2x = 7 + 2

⇒ 3x = 9

⇒ x = 3

So, the value of x is 3.

Now we find the measure of each side of triangle JKL

MN = 5x - 2

MN = 5(3) - 2

MN = 15 - 2

MN = 13

Now the side NP

NP = 7 + 2x

NP = 7 + 2(3)

NP = 13

And side PM would be,

PM = 2 + 3x

PM = 2 + 3(3)

PM = 11

Therefore, the value of x is 3 and the measure of each side of isosceles ΔMNP is:

MN = 13

NP = 13

PM = 11

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Answer:

AH

Step-by-step explanation:

the two lines that are vertical on both lines show that they are both congruent (the same length)

The final answer in scientific notation is 6×10¹⁴.

When the numbers are in scientific notation, the multiplication is accompanied with addition of exponents. So, the numbers will be multiplied and exponents will be added.

Writing the equation to find the product by performing the calculation -

Product = 2×10⁷ × 3×10⁷

To perform addition of exponent of the number 10⁷ and to perform the multiplication of the number rewriting the equation

Product = (10⁷⁺⁷)×(2×3)

Adding the exponent and performing multiplication of the numbers to find the product of the given numbers in scientific notation

Product = 10¹⁴×6

Hence, the final answer on multiplication of given numbers is 6×10¹⁴.

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Answer:

19.00, 0.95, 19.95

28.00, 1.40, 29.40

45.00, 2.25, 47.25

Step-by-step explanation:

19.00 × 0.05 = 0.95

1.40 ÷ 0.05 = 28

47.25 ÷ 1.05 = 45

45 × 0.05 = 2.25

Answer/Step-by-step explanation:

Ticket Price ($) | Service Fee ($) | Total Cost with Service Fee ($) |

 19.00               |        0.95           |              19.95                               |                  

                         |                           |                                                      |

----------------------------------------------------------------------------------------------

   28.00            |       1.40              |               29.40                            |

                         |                            |                                                     |

-----------------------------------------------------------------------------------------------

    45.00           |       2.25              |                     47.25                      |

                         |                             |                                                     |

------------------------------------------------------------------------------------------------

I hope this helps!

Answer:

the answer would be n/4 + 9/2

Step-by-step explanation:

-

The  simplification of the given expression 0.4(k - 0.1) + 0.5(3.3 - k) is 1.61 - 0.1k.

According to the question.

We have an expression.

0.4(k - 0.1) + 0.5(3.3 - k)

As we know that, simplification of an expression means to write an equivalent expression which contains no similar terms.

Therefore, the simplification of the given expression 0.4(k - 0.1) + 0.5(3.3 - k) is given by

0.4(k - 0.1) + 0.5(3.3 - k)

= 0.4k - 0.04 + 1.65 - 0.5k

= 1.61 - 0.1k

Hence, the  simplification of the given expression 0.4(k - 0.1) + 0.5(3.3 - k) is 1.61 - 0.1k.

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Answer:

Step-by-step explanation: You may have a chance of getting 20 questions correct while another 20 wrong. So if you have 1/2 the probability with your class it would be around 20 correct and 20 wrong.

The probability of spinner pointer landing on neither red nor yellow=1/3 .

As given,

Total colors in the spinner is equal to 6

Each color is 2 times

Total number of colored region=6

Number of each red and yellow region=2

Probability

=(Total number of favourable outcomes) /  (Total number of outcomes )

Probability of pointer landing on red or yellow is

P(R or Y)=2/6 +2/6

⇒P(R or Y) =2/3

Probability of pointer landing on neither red nor yellow

P( R or Y)' =1-P(R or Y)

                 =1-(2/3)

                 =1/3

Therefore, the probability of spinner pointer landing on neither red nor yellow =1/3.

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0.165 million jobs must be created monthly to keep unemployment from increasing.

How many new jobs have to be created each month to keep unemployment from increasing?

The population of the labor force = is 165 million

Percentage increase of labor force in a year = 1.2 % of 165 million

Percentage increase in the labor force in a month 1.2 %/12=0.1 %=  of 155 million

Jobs required to be created each month = population increase each month

165 million *0.1/100=0.165 million

0.165 million jobs must be created monthly to keep unemployment from increasing.

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Answer:

800 times 10 is =800×10

800×10×10

800×100

=80,000

I think this is the answer so try it sorry for the last results

18 triangles area unit required to compose a vicinity that's one square meters.

A square with a locality of one square metre is rotten into nine identical little squares. every little sq. is rotten into 2 identical triangles.

1 square metre is rotten into nine identical little squares.

So there area unit nine little squares in one square metre.Each little sq. is rotten into 2 identical triangles therefore nine little squares is rotten into 9(2) = eighteen identical triangles

Hence, one square metre is rotten into eighteen identical triangles.

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The geometric mean between pair of numbers 12 and 9 is 10.39

We know that for a sequence of numbers x1, x2,.., xn

The formula of geometric mean is,

[tex]\Pi = \sqrt[n]{x_1.x_2...x_n}[/tex]

In this question, we have been given two numbers 12 and 9

We need to find the geometric mean between pair of numbers, 12 and 9.

Using the formula for the geometric mean,

[tex]\Pi = \sqrt[n]{x_1.x_2...x_n}[/tex]

In this question, we have two numbers.

So, the value of n is 2.

[tex]\Pi = \sqrt{12\times 9}\\\\\Pi=\sqrt{108}\\\\ \Pi=10.39[/tex]

Therefore, the geometric mean between pair of numbers 12 and 9 is 10.39

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The two towns will be 15 centimeters apart on the map.

Here, we are given that a map has a scale factor of 1:24 000.

This means that if the distance between two points on the map is say 1 meter then in reality, these two points will be 24,000 meters apart.

Now, we are given that two towns are 3.6 kilometers apart

That is in reality, they are 3.6 km away

Let them be x kilometers away on the map

The ratio of the distances on map and in real life must be equal to 1/24,000

⇒ x/3.6 = 1/24,000

x = 3.6/24,000

x = 0.00015 kilometers

or x = 15 centimeters

Thus, the two towns will be 15 centimeters apart on the map.

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Answer:

source please?

Step-by-step explanation:

Without a source I cannot

Mrs. Fields teaches synthetic geometry.

What is synthetic geometry?

The study of geometry without the use of coordinates or equations is known as synthetic geometry, sometimes known as axiomatic geometry or even pure geometry. To make inferences and find solutions, it uses the axiomatic approach and the instruments that are immediately associated to it, namely the compass and straightedge.

Mrs. Fields uses a compass, straightedge, pencil and protractor to teach geometry. And all these are used to either draw or measure and no formulas are needed anywhere, so it is synthetic geometry.

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Answer:

86.4m/s as 2.4^(2)=5.76

5.76x15=86.4

Answer:

P = 2x + 14

Step-by-step explanation:

The perimeter of a shape is the total measurement of all the edges of a shape.

P = 12 + (x - 12) + 1 + [(x-5) - (x-12)] + [12 - 1] + (x-5)

P = 12 + x - 12 + 1 + [ x - 5 - x + 12] + 11 + x - 5

P =  x + x + 12 - 12 + 1 + 7 + 11 - 5

P = 2x + 14

Answer: The answer is 78,125

Step-by-step explanation: The answer is 78,125 because when the 5^8 equals 390,625 and then divide 5 and you get 78,125. hope this helps :)

Answer:

5e8 /5=78125

Step-by-step explanation:

5e8=5*5*5*5*5*5*5*5=  390 625

390 625/5=78125

Hope you'll understand

(:

The triangle having vertices X(-7,-3), Y(-2,-5), Z(-4,-1)  is obtuse.

According to the Pythagorean Inequality Theorem, a triangle whose sides measure a, b, and c where c is the largest, the triangle can be characterized as:

acute if [tex]a^{2} + b^{2} < c^{2}[/tex]

obtuse if  [tex]a^{2} + b^{2} > c^{2}[/tex]

right if  [tex]a^{2} + b^{2} = c^{2}[/tex]

XY = [tex]\sqrt{(-2 + 7)^{2} + (-5 + 3)^{2} }[/tex]

∴ XY = 5.38

YZ = [tex]\sqrt{(-4 + 2)^{2} + (-1 + 5)^{2} }[/tex]

∴YZ = 4.47

ZX = [tex]\sqrt{(-4 + 7)^{2} + (-1 + 3)^{2} }[/tex]

∴ ZX = 3.60

∴The longest side is XY = 5.38.

Hence, a = YZ, b = ZX and c = XY;

Consider [tex]a^{2} + b^{2}[/tex] :

= [tex]4.47^{2} + 3.60^{2}[/tex]

= 32.94.

Now consider [tex]c^{2}[/tex]:

= [tex]5.38^{2}[/tex]

= 28.94.

Thus, [tex]a^{2} + b^{2} > c^{2}[/tex]

Hence, the triangle is obtuse.

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The probability that she chooses 3 particular books to check out from the 10 initial books is 0.0574

In this question,

Paige is choosing between 10 books at the library.

We need to find  the probability that she chooses 3 particular books to check out from the 10 initial books.

The probability of choosing 1 book = 1/10

So, the probability of success (p) = 1/10

the probability of failure (q) = 9/10

Using Binomial probability distribution,

P(x = 3) = [tex]^{10}C_3\times (\frac{1}{10} )^3\times (\frac{9}{10} )^7[/tex]

P(x = 3) = 120 × 0.001 × 0.4783

P(x = 3) = 0.0574

Therefore,  the probability that she chooses 3 particular books to check out from the 10 initial books is 0.0574

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Answer:

If you run 1mile in 7 minutes, you run 8.5miles in 1 hour, and run 1km in 4 minutes 20 seconds. This calculator convert pace and speed in the unit of mile, and km.

Step-by-step explanation:

Hope this helped

and what the other person said

Brainlest please