An auto repair shop records how far each vehicle they receive has been driven. The data for their
most recent 23 vehicles is shown in the histogram below.
What interval contains the 83rd percentile for this data?

The the vertices if the triangle is reflected over the y-axis and then dilated by a scale factor of 2 wii be A'(4, 6), B'(0, 0) and, C'(-2, 4).

According to the given question.

The vertices of a triangle ABC are A(-2, 3), B(0, 0), and C(1, 2).

As we know that,

The rule for reflecting a triangle over the y axis is to negate the value of x-coordinate of each point, but leave the y-value the same.

Therefore, the vertices of triangle ABC when it is reflected over y-axis are

A'(2,3)

B'(0, 0)

C'(-1, 2)

Also, when the triangle is dialated by a scale factor 2 then the vertices will be

A'(4, 6)

B'(0, 0)

And, C'(-2, 4)

Hence, the the vertices if the triangle is reflected over the y-axis and then dilated by a scale factor of 2 wii be A'(4, 6), B'(0, 0) and, C'(-2, 4).

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Answer: x=7

Step-by-step explanation: (3x−2)=19

Add 2 to both sides.

3x=19+2

Add 19 and 2 to get 21.

3x=21

Divide both sides by 3.

x= [tex]\frac{21}{3}[/tex]

​

Divide 21 by 3 to get 7.

x=7

(2)  3x-2

The derivative of a polynomial is the sum of the derivatives of its terms. The derivative of a constant term is 0. The derivative of [tex]ax^{2}[/tex]

 is [tex]nax^{n-1}[/tex]

.

[tex]3x^{1-1}[/tex]

Subtract 1 from 1.

[tex]3x^{0}[/tex]

For any term t except 0, [tex]t^{0}[/tex] =1.

3×1

For any term t, t×1=t and 1t=t.

answer=3

Answer:

152 =x

Step-by-step explanation:

180 - 152= 28

180-28= 152

The probability that the next type of stir fry ordered is shrimp is 0.28.

Given that, the frequency table provided summarizes yesterday's orders at Sizzlin' Skillets.

A frequency distribution table displays the frequency of each data set in an organized way. It helps us to find patterns in the data and also enables us to analyze the data using measures of central tendency and variance. The first step that a mathematician does with the collected data is to organize it in the form of a frequency distribution table. All the calculations and statistical tests and analyses come later.

The given frequency table is

Type of stir fry         Number of orders

Vegetable                       333

Chicken                           666

Pork                                 222

Beef                                 222

Shrimp                             555

As we know, probability of an event = Number of favourable outcomes / Total number of outcomes

Here, the number of favourable outcomes = 555

The total number of outcomes = 333+666+222+222+555 = 1998

So, the probability of getting shrimp = 555/1998

=0.277≈0.28

Therefore, the probability that the next type of stir fry ordered is shrimp is 0.28.

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Answer:

Step-by-step explanation:

Midpoint coordinates(x, y)  of 2 points (x1, y1) and (x2, y2) are given by
x = (x1 + x2)/2

y = (y1 + y2)/2

So in this situation

x = (8 + 0)/2 = 8/2 = 4

y = (10 + 5)/2 = 15/2 = 7.5

Midpoint is at (4, 7.5)

Check the graph attached

The four ways are :

A cylinder is a 3-dimentional solid shape . It has two parallel bases which are joined by the curved surface. The cylinder has 2 circular bases one on the top and other at bottom and a curved region between them.

Important formulas of cylinder:

Base area of cylinder =  π r²

Surface area of cylinder = 2 π r( r+ h)

Volume of cylinder = π r² h

where,  h defines height and r defines the radius

According to ques ,  [tex]h= k\frac{V}{r^{2} }[/tex]

The four ways are :

1. when the value of volume V is quadrupled

  i.e. V = 4V

  then, h = [tex]k\frac{4V}{r^{2} }[/tex] = 4 ([tex]k\frac{V}{r^{2} }[/tex]) = 4h

2. when the value of radius (r) is halved

 i.e. r = r/2

  then , h =  [tex]k \frac{V}{(\frac{r}{2} )^{2} }[/tex] = [tex]k\frac{4V}{r^{2} }[/tex] = 4 ([tex]k\frac{V}{r^{2} }[/tex]) = 4h

3. when the value of V is enlarged 16 times and the value of r is doubled

  i.e. V= 16 V and r =2r

  then, h =  [tex]k \frac{16 V}{(2r)^{2}}[/tex] = [tex]k\frac{4V}{r^{2} }[/tex] = 4 ([tex]k\frac{V}{r^{2} }[/tex]) = 4h

4. If the values of V and r are quartered

    i.e. V= V /4 and r =r/4

      then, h = [tex]k \frac{(\frac{V}{4} ) }{(\frac{r}{4} )^{2} }[/tex] =  [tex]k \frac{16 V}{(4r^{2})}[/tex] = [tex]k\frac{4V}{r^{2} }[/tex] = 4 ([tex]k\frac{V}{r^{2} }[/tex]) = 4h

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Given the perimeter, the length and width of the rectangular family portrait are 20 inches and 31 inches respectively.

The perimeter of a rectangle is expressed mathematically as;

P = 2( l + w )

Given the data in the question;

Let "x" represent the width of the rectangle.

To determine the width and length of the rectangle, plug the given values into the formula above and solve for x.

P = 2( l + w )

102 = 2( ( 2x - 9 ) + x )

102 = 2(  2x - 9 + x )

102 = 2(  3x - 9 )

Apply distributive property

102 = 2(3x) + 2(-9)

102 = 6x - 18

102 + 18 = 6x

120 = 6x

6x = 120

x = 120/6

x = 20

Now, the numerical length and with of the rectangular frame will be;

Width w = x = 20 inches

Length l = 2x - 9 = 2(20) - 9 = 40 - 9 = 31 inches.

Given the perimeter, the length and width of the rectangular family portrait are 20 inches and 31 inches respectively.

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Answer: 16, 17, and 18.

Step-by-step explanation: What I'll do I'll just let explain how to solve it and that will instantly solve your question!

The first case of business to make things easier would be to try and put this on a linear equation so...

Let the first integer be x.

Then the next consecutive two integers will be x + 1 and x + 2

x + (x + 1) + (x + 2) = 51 [Sum of the 3 consecutive integers is 51]

-> 3x + 3 = 51

-> 3x = 51 - 3

-> 3x = 48

-> x = 48/3

-> x = 16,

Thus, x + 1 = 17, x + 2 = 18

Therefore, the three consecutive integers are 16, 17, and 18.

Hope it helps ^^

Answer:

Step-by-step explanation:

The range of the function is the set of all y- values.

The range on the graph can be determined by minimum and maximum points if the graph is continuous.

Looking at the given graph we observe:

The range is:

The amplitude and the period of the function are 3 and 2, respectively.

Sinusoidal functions are periodic bounded functions whose form is described below:

y = A · sin (2π · t / T + Ф) + y'

Where:

The period is the horizontal distance between two consecutive peaks or two consecutive bottoms and the amplitude is equal to the half of the distance between a peak and a consecutive bottom. Hence, the amplitude and the period are, respectively:

Amplitude

A = 0.5 · [2 - (- 4)]

A = 3

Period

T = 2 · [0.75 - (- 0.25)]

T = 2

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P(AUB|C)=P(A|C) + P(B|C) - P(AnB|C) is the correct answer.

From distributive law we have,

P((AUB)nC)=P(AnC) + P(BnC)-P(AnBnC)

Dividing both sides by P(C)

P((AUB)nC)/P(C)=P(AnC)/P(C) + P(BnC)/P(C) - P(AnBnC)/P(C)

P(AUB|C)=P(A|C) + P(B|C) - P(AnB|C)

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Answer:

7. 123

8. 38

10. 65

11. 113

Answer:

-3/2

Step-by-step explanation:

Slope:

Rise: The difference between the y -coordinates of the two points is called the rise.

Run: The difference between the x-coordinates of the same two points is called the run.

First plot two points on the line.

(0, 6 )  and (4 , 0)

Rise = 6 - 0 = 6

Run = 0 - 4 = -4

[tex]\sf \boxed{Slope = \dfrac{Rise}{Run}}[/tex]

          [tex]\sf =\dfrac{6}{-4}\\\\=\dfrac{-3}{2}[/tex]

The number 102 in the sequence will be closest to 100.

A sequence in which each next term gets increased or decreased from the preceding by a constant value is called an arithmetic progression.

The difference of any two consecutive terms in an arithmetic progression is called the common difference of the AP (arithmetic progression).

Here each terms increases by 8. So, the common difference d is 8.

The first term is given to be 38.

So our sequence will be,

38, 46, 54, 62,...

nth term in an AP can be calculated by using the formula,

aₙ = a₁ + (n-1)d

To find the term nearest to 100,

100 = 32 + (n-1)8

68/8 = (n-1)

9.5 = n

But the value of n can not be a non-integer,

So the term nearest to 100 will be 9th or 10th term.

a₉ = a₁ + (9-1)d

a₉ = 8 + (8 x 8)

a₉ = 94

and,

a₁₀ = a₁ + (10-1)d

a₁₀ = 8 + (9 x 8)

a₁₀ = 102.

We can see,

a₁₀ = 102 is closest to 100.

Hence, 10th term is closest to 100.

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Myron would need 7.2 hours to cook 3 kilograms of meat.

time = 12 hours

cook = 5 kilograms of meat.

i.e. For 5 kilograms of meat, it takes 12 hours to cook.

Thus, for 3 kilograms of meat,

Multiple 12  by 3 and divided by 5

= 12/5 * 3

= 12 * 3/5

= 36 / 5

= 7.2 hrs.

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Answer:  12 hours

Step-by-step explanation: 5 kilo grams of meet

Answer:

6x2 + 11x

Step-by-step explanation:

First collect like terms:

8x2 - 2x2 + 3x + 8x - 10 + 10 (Ps: x2 and x are not the same!)

Combine them:

6x2 + 11x (the -10 and 10 cancel out)

and this is your polished answer!

The probability mass function of the binomial distribution is given by:

B. [tex]\frac{n!}{x!(n-x)!} \times p^{x} \times (1-p)^{n-x}[/tex]

The formula is:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

Hence, considering the combination formula, the probability mass function of the binomial distribution is given by:

B. [tex]\frac{n!}{x!(n-x)!} \times p^{x} \times (1-p)^{n-x}[/tex]

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Answer: $239.74 :)

Step-by-step explanation:231.75 for Karen, mom, and dad's rafting, plus 7.99 for the water bottle=239.74 USD

A composite function exists as a function that depends on another function. A composite function exists formed when one function exists substituted into another function.

The value of f(f(f(x))) is 1/x

In mathematics, function composition exists as an operation ∘ that takes two functions f and g, and has a function h = g ∘ f such that h(x) = g. In this operation, the function g exists used to the result of applying the function f to x.

Function composition is a mathematical procedure where two functions, f, and g, are taken and a function, h = g ∘ f, is produced such that h(x) = g(f(x)). The function g exists used in this operation on the outcome of applying the function f to x.

A function that depends on another function is referred to as a composite function. When one function is inserted into another, a composite function is produced. For instance, f(g(x)) is the composite function created when x in f is replaced with f(x). f(g(x)). You can interpret f(g(x)) as "f of g of x."

Let the given function be f(x) = 1/x

f(f(x)) = f(1/x) = 1/(1/x)

simplifying the above equation, we get

f(f(x)) = f(1/x) = x  

f(f(f(x))) = f(x) = 1/x

Therefore, the value of f(f(f(x))) = f(x) = 1/x

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After solving the equation, x = 19/4 Is the value of x in 4x = 19

⇒ 4x = 19

⇒ x = 19/4

To solve linear equations, utilize the steps that are provided below.

Lets take an example of solve z for 7z – (3z – 4) = 12

Here is no multiplication or division, so this will be easy to solve

⇒ 7z – (3z – 4) = 12

⇒ 7z – 3z + 4 = 12

⇒ 4z = 12 – 4

⇒ 4z = 8

⇒ z = 8/4

⇒ z = 2

See, that was so simple, using the mentioned methods, every linear equation can be solved easily.

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Answer:

16.8

Step-by-step explanation:

84 / 5 = 16.8

Answer:

17 points(Rough estimate)

Step-by-step explanation:

Using long division,

[tex]5|84\\5 \times 1 = 5\\8 - 5 = 3\\\mathrm{Drop~4~onto~3~to~get~34}\\5 \times 6 = 30\\34 - 30 = 4[/tex]

Round 16 to nearest ones place

[tex]\mathrm 16 = 17[/tex]

Therefore,

You scored ≈ 17 points per game out of 5 games.

if you need the exact value, it's 16.8

Any concerns, let me know. Have a good day!

Applying the slope formula, the slope of the line is determined as: 2.

The slope of a line  represented by a table of values can be calculated using any two set of ordered pairs form the given table, and applying the slope formula below:

Slope (m) = y2 - y1/x2 -x1

Using any two points of the line, (0, -0.25) and (1, -0.2), as represented in the table, let:

(0, -0.25) = (x1, y1)

(1, -0.2) = (x2, y2)

Plug in the values

Slope (m) = (-0.2 -(-0.25))/(1 - 0)

Slope (m) = 0.05/1

Slope (m) = 0.05

Thus, the slope of the line as represented by the table of values is calculated as: 0.05.

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Answer:

The lines are neither

Step-by-step explanation:

Step-by-step explanation:

what form should the equation have ?

I assume slope-intercept

y = ax + b

"a" being the slope, "b" being the y-intercept (the y value when x = 0).

but since we have the slope and a point, we can start with the point-slope form and transform it :

y - y1 = a(x - x1)

"a" is again the slope, (x1, y1) is the point.

so,

y - 7 = -5/3 × (x - -3) = -5/3 × (x + 3) = -5x/3 - 5

and therefore

y = -5x/3 + 2

Answer:

A) –2 or 3∕5

Step-by-step explanation:

Two possible cases since we are dealing with absolute values:

7h + 1 = 3h - 7 ; h = -2 here

7h + 1 = -(3h - 7) ; h = 3/5 here

Answer: It is a rational number.

Hence, [tex]2.738[/tex] a rational number.

What is the rationa number?

A rational number is a type of real number, which is in the form of [tex]\frac{p}{q}[/tex] where [tex]q[/tex] is not equal to zero. Any fraction with non-zero denominators is a rational number.

Here [tex]2.73[/tex] acn be written as

[tex]2.73=\frac{2.73}{1}[/tex]

Now, we multiply numerator and denominator by [tex]100[/tex].

So, it would be

[tex]\frac{2.73(100)}{1(100)}\\\\=\frac{273}{100}[/tex]

So, the fraction is written as [tex]2.73[/tex].

Hence, [tex]2.738[/tex] a rational number.

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Going by the stemplot, a correct comparison to make between eastern and western states’ expenditures is The eastern states have, on average, a higher per-pupil expenditure than the western states.

Reading a stemplot requires looking at the stem first which is the number in the middle. Then combine this with the leaf to find the actual number. For instance, a stem of 7 and a leaf of 6 in the attached photo is $76,000.

From the attached photo, we see that the Eastern states have more numbers of per-pupil expenditure which means that on average, they have a higher per-pupil expenditure than the western states.

Options for this question are:

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Answer:

4

Step-by-step explanation:

B= 1

D= -3

Distance between the two? 4 points

1 - (-3) = 4