the box plot represents the number of math problems on the quizzes for an algebra course.

what is the range of the data?
6
7
9
10

Answer:

36

Step-by-step explanation:

Equation for an inversely proportional relation, where y is inversely proportional to x:

[tex] y = \dfrac{k}{x} [/tex]

Here we have:

[tex] \alpha = \dfrac{k}{\beta} [/tex]

We use the known ordered pair to find k.

[tex] -6 = \dfrac{k}{12} [/tex]

[tex] k = -72 [/tex]

The relation is:

[tex] \alpha = \dfrac{-72}{\beta} [/tex]

For beta = -2,

[tex] \alpha = \dfrac{-72}{-2} [/tex]

[tex] \alpha = 36 [/tex]

Answer:

PPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

Step-by-step explanation:

Answer:

[tex]X = \begin{bmatrix}1&3\\ 2&4\end{bmatrix}[/tex]

Step-by-step explanation:

The question we have at hand is, in other words,

[tex]\begin{bmatrix}4&2\\ \:1&1\end{bmatrix}\left(X\right)=\begin{bmatrix}8&20\\ \:3&7\end{bmatrix}[/tex] - where we have to solve for the value of [tex]X[/tex]

If we have to isolate [tex]X[/tex] here, then we would have to take the inverse of the following matrix ...

[tex]\begin{bmatrix}4&2\\ \:1&1\end{bmatrix}[/tex] ... so that it should be as follows ... [tex]\begin{bmatrix}4&2\\ \:1&1\end{bmatrix}^{-1}[/tex]

Therefore, we can conclude that the equation as to solve for " [tex]X[/tex] " will be the following,

[tex]X=\begin{bmatrix}4&2\\ 1&1\end{bmatrix}^{-1}\begin{bmatrix}8&20\\ 3&7\end{bmatrix}[/tex] - First find the 2 x 2 matrix inverse of the first portion,

[tex]\begin{bmatrix}4&2\\ 1&1\end{bmatrix}^{-1}[/tex] = [tex]\frac{1}{\det \begin{pmatrix}4&2\\ 1&1\end{pmatrix}}\begin{pmatrix}1&-2\\ -1&4\end{pmatrix}[/tex]= [tex]\frac{1}{2}\begin{bmatrix}1&-2\\ -1&4\end{bmatrix}[/tex] = [tex]\begin{bmatrix}\frac{1}{2}&-1\\ -\frac{1}{2}&2\end{bmatrix}[/tex]

At this point we have to multiply the rows of the first matrix by the rows of the second matrix,

[tex]X = \begin{bmatrix}\frac{1}{2}&-1\\ -\frac{1}{2}&2\end{bmatrix}\begin{bmatrix}8&20\\ 3&7\end{bmatrix}[/tex] ,

[tex]X = \begin{pmatrix}\frac{1}{2}\cdot \:8+\left(-1\right)\cdot \:3&\frac{1}{2}\cdot \:20+\left(-1\right)\cdot \:7\\ \left(-\frac{1}{2}\right)\cdot \:8+2\cdot \:3&\left(-\frac{1}{2}\right)\cdot \:20+2\cdot \:7\end{pmatrix}[/tex] - Simplifying this, we should get ...

[tex]\begin{bmatrix}1&3\\ 2&4\end{bmatrix}[/tex] ... which is our solution.

Answer:

P = 1 /362880

Where the numerator is the event of selecting the same order as last performance that is 1.

The denominator is the total number of possible events of selecting the 9 dancers.

p = 1/72

Therefore, there is a 1/72 probability that the team puts the top hip hop dancer in the third position and top break dancer in the first position.

Step-by-step explanation:

The probability that the team selects the same order as last performance is 1 divided by 362880

Explain where each the numerator and denominator come from

The probability that the team selects the same order as last performance is

P = 1 /362880

Where the numerator is the event of selecting the same order as last performance that is 1.

The denominator is the total number of possible events of selecting the 9 dancers.

Total number of dancers = 9

The 1st dancer can be selected in 9 ways

The 2nd dancer can be selected in 8 ways

The 3rd dancer can be selected in 7 ways

The 4th dancer can be selected in 6 ways

The 5th dancer can be selected in 5 ways

The 6th dancer can be selected in 4 ways

The 7th dancer can be selected in 3 ways

The 8th dancer can be selected in 2 ways

The 9th dancer can be selected in 1 ways

So the total number of ways = 9×8×7×6×5×4×3×2×1 = 362880

What is the probability that the team puts the top hip hop dancer in the third position and top break dancer in the first position?

Lets us put the top hip hop dancer in the third position and top break dancer in the first position then the remaining 7 dancers can be selected in

7×6×5×4×3×2×1 = 5040 ways

So the required probability is,

P = 5040/362880

P = 1/72

P = 0.0139

Therefore, there is a 1/72 probability that the team puts the top hip hop dancer in the third position and top break dancer in the first position.

Answer:

You can choose one senator in 2 ways from the first of the 3 states; in 2 independent ways from the second of the 3 states; and in 2 independent ways from the third of the 3 states.

Step-by-step explanation:

So the answer to that question is 2*2*2*19600 which = 156800 ways.

Answer:

In 2 years

Step-by-step explanation:

age right now 1,5,7,9

Let the number of years in which the sum of the ages of two of his children be twice the sum of the ages of the other two children=x

Therefore Age of the children after x years will be 1+x,5+x,7+x and 9+x

2[1+x + 5+x] = (7+x)+(9+x)

2[6+2x]= 7+9+x+x

12+4x=16+2x

4x-2x=16-12

2x=4

x=4/2=2

Let's verify if the answer is correct

-- Verify by substituting the value of x in this 2[1+x + 5+x] = (7+x)+(9+x)

2[1+2 + 5+2] = (7+2)+(9+2)

2[10]=9+11

20=20

Therefore 2 years is the answer

We are required to find the number of years when the ages of two of his children be twice the sum of the ages of the other two children?

The number of years it will take for two of his children be twice the sum of the ages of the other two children is 2 years

Child 1 = 1 year

Child 2 = 5 years

Child 3 = 7 years

Child 4 = 9 years

let

x = number of years it will take for two of his children be twice the sum of the ages of the other two children

twice the age of the two younger children in the unknown year equal the age of the two older children in the unknown year

2{(1 + x) + (5 + x)} = (7 + x) + (9 + x)

2(1 + x + 5 + x) = 7 + x + 9 + x

2(6 + 2x) = 16 + 2x

12 + 4x = 16 + 2x

12 - 16 = 2x - 4x

-4 = - 2x

divide both sides by -2

-4 / -2 = x

x = 2

Therefore,

The number of years it will take for two of his children be twice the sum of the ages of the other two children is 2 years

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Answer:

t and u are parallel lines

 s and t are also parallel lines

Step-by-step explanation:

If two parallel lines are cut by a transversal ,

then in it

pair of alternate angle are equals, similarly vice versa

if pair of alternate angle are equals then lines are parallel

pair of corresponding angles are equal and vice-versa

for example

in the given problem

if line t and u are parallel (note we have assumed this to give example of parallel lines)

then angle 7 and 9 are called alternate angles

pair of angles 5 and 9 are corresponding angles.

________________________________________________

given

∠8 = ∠10 which are alternate angles for line t and u and s is transversal for it,

thus t and u are parallel lines

___________________________

∠1 = ∠3 as they vertically opposite angles

and we know that pair of  vertically opposite angles are equal

given

∠1 = ∠7

thus

∠3 = ∠7

as pair of angles ∠3 and ∠7 are corresponding angles. and are equal and hence line  s and t are also parallel.

Answer:

(2x+1)(x-3) is the factorized form of the given expression

Step-by-step explanation:

=2x^2-5x-3

By using sum and product rule

=2x^2-6x+1x-3

By taking common

=2x(x-3)+1(x-3)

=(2x+1)(x-3)

I hope this will help you :)

Answer:

(x-3)(x+1/2)

_____________________________________

Answer:

20

Step-by-step explanation:

lets label each shirt as A, B, C, D, E and each pair of pants as a, b, c, d

combinations include:

Aa, Ab, Ac, Ad, Ba, Bb, Bc, Bd, Ca, Cb, Cc, Cd, Da, Db, Dc, Dd, Ea, Eb, Ec, Ed

however, it isn't necessary to write out all the combinations as you could just do 5*4=20.

Answer:(7x - 6)(7x + 6)

Step-by-step explanation:

Answer:

answer is just C and

Step-by-step explanation:

Answer:

(3/2, 0+), (-1, 0+)

Step-by-step explanation:

An exact "zero" of a polynomial is characterized by a point on the x-axis.  In this case the best approximation to that is the point (3/2, 0+); the next best approximation is (-1, 0+).  Note that neither of these two points actually lies on the x-axis, but that both are closer to the x-axis than are any of the other given points.

The x-values which best approximate roots of the polynomial are x=1.1 and x=4.1

Polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and positive-integer powers of variables

The roots of any polynomial can easily be determined by the graph. To find the roots from the graph, we just have to see the values of x, for which the value of whole polynomial becomes 0.

We can see in the graph that there are three points where the value of polynomial becomes 0.

The roots of a polynomial occur where the graph crosses the x-axis

x=1.1

x=4.1

Hence, the  x-values which best approximate roots of the polynomial are x=1.1 and x=4.1

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The exact values for the intersection point is (20/9, -107/9)

Given the system of equation expressed as;

y = −13x + 17;

y = 5x - 23

Since they are both y-values, we will equate both expressions to have:

-13x + 17 = 5x - 23

-13x - 5x = -23 - 17

-18x = -40

x = 40/18

x = 20/9

Substitute x = 20/9 into equation 2:

y = 5x - 23

y = 5(20/9) - 23

y = 100/9 - 23

y = -107/9

Hence the exact values for the intersection point is (20/9, -107/9)

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Answer:

The answer is 7.5 and 14.5

( 7.5 , 14.5 )

Step-by-step explanation:

Answer:

[tex]\frac{-1}{4}[/tex]and [tex]\frac{-5}{8}[/tex] are the locations higher than [tex]\frac{-3}{4}[/tex] foot

Step-by-step explanation:

We are given that Meg found one treasure at [tex]\frac{-3}{4}[/tex]foot

We are supposed to find Which of these location are higher than [tex]\frac{-3}{4}[/tex]foot?

i) [tex]-\frac{7}{8}[/tex]

So, this location is not  higher than [tex]\frac{-3}{4}[/tex]foot

ii)[tex]-\frac{1}{4}[/tex]

So, [tex]-\frac{1}{4}>\frac{-3}{4}[/tex]

So, this location is higher than[tex]\frac{-3}{4}[/tex] foot

iii) - 1 foot

[tex]-1 < \frac{-3}{4}[/tex]

So,this location is not  higher than[tex]\frac{-3}{4}[/tex]foot

iv)-2 feet

So,this location is not  higher than[tex]\frac{-3}{4}[/tex]foot

v)[tex]\frac{-5}{8}[/tex]

So, this location is higher than [tex]\frac{-3}{4}[/tex]foot

Answer: B, E

Step-by-step explanation:

The guy above is right but just to make it more easy

Answer:

4625 numbers

Step-by-step explanation:

To solve this problem we can separate it in different cases, and then we sum the amount of numbers of each case to find our final result.

The first case is: all four numbers are even.

We have 5 even digits, and the first digit of the 4-digit number can't be zero, so for the first digit we have 4 possible values, and for the other 3 digits we have 5 possible values, then the amount of numbers with this condition is:

[tex]N_1 = 4 * 5 * 5 * 5 = 500\ numbers[/tex]

The second case is the number having three even digits and one odd digit, and the first digit is the odd digit.

In this case, the first digit has 9 possible values (all digits but zero) and the other 3 digits have 5 possible values (even digits):

[tex]N_2 = 9 * 5 * 5 * 5 = 1125\ numbers[/tex]

The third case is the number having three even digits and one odd digit, and the first digit is not the odd digit.

In this case, the first digit has 4 possible values, the odd digit has 10 possible values and the other two digits have 5 possible values. The odd digit can be the second, the third or the fourth digit, so we multiply our result by 3 (because we will find the same result if we choose the odd digit to be the second, third or fourth):

[tex]N_3 = 3 * 4 * 10 * 5 * 5 = 3000\ numbers[/tex]

So the final result is the sum of these cases:

[tex]N = N_1 + N_2 + N_3[/tex]

[tex]N = 500 + 1125 + 3000 = 4625\ numbers[/tex]

━━━━━━━☆☆━━━━━━━

▹ Answer

a = 4

▹ Step-by-Step Explanation

a + 2 = 6

Subtract 2 from both sides

2 - 2 = crossed out

6 - 2 = 4

Final Answer

a = 4

Hope this helps!

- CloutAnswers ❁

Brainliest is greatly appreciated!

━━━━━━━☆☆━━━━━━━

Answer:

a=4

Step-by-step explanation:

If you are trying to find the value of a, it is simply 6-2. You can also check your answer by seeing if 4, the answer you found can be substituted into the equation while keeping the equation true. 4+2 does equal 6 so you know your right. Hope this helps!! :)

Answer:

10, -5, -11

Step-by-step explanation:

f(x) = - 3x-5

f(-5) = -3(-5) - 5 => 15 - 5 => 10

f(0) = -3(0) - 5 => 0 - 5 => -5

f(2) = -3(2) - 5 => -6 - 5 => -11

The value of the function at x = –5, 0, 2 will be 10, –5, and –11.

A statement, principle, or policy that creates the link between two variables is known as a function.

The function is given below.

f(x) = –3x – 5

The value of the function at x = –5, 0, 2 will be

f(–5) = –3(–5) – 5

f(–5) = 15 – 5

f(–5) = 10

f(0) = –3(0) – 5

f(0) = 0 – 5

f(0) = –5

f(2) = –3(2) – 5

f(2) = –6 – 5

f(2) = –11

More about the function link is given below.

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Answer:

is greater than

Step-by-step explanation:

Mean: sum of numbers ÷ how many numbers there are

3 + 3 + 4 + 5 + 5 + 9 = 29

29 ÷ 6 = 4.83333

Median: middle number

3   3   4   5  5  9  

4 + 5 = 9

9 ÷ 2 = 4.5

4.83333 > 4.5 so the mean is greater than the median.

Hope that helps. :)

Answer:

16?? not sure.......

Answer:

see below

Step-by-step explanation:

6+9x^2

Rewriting in decreasing powers of x

9x^2 +0x + 6

ax^2+bx+c

a = 9

b =0

c = 6

Answer: I had the same one

Step-by-step explanation: I DON'T GET IT EITHER

Answer:

Combination

Step-by-step explanation:

Permutation is likely used more for lists/ordered things.

Combination is used more for groups.

Since we are trying to elect a group of people (president, vice president, and secretary) out of 205 students, we use combination.

Answer: X=7 y=0

Step-by-step explanation:

first transfer the -6y over than multiply it by 2 so the x's are equal then subtract the bottom equation from top equation and you get y = 0 then solve each equation with y = 0 and you get x = 7

<!> Brainliest is appreciated! <!>

Answer:

y = 0

x = 7

Step-by-step explanation:

First substitute

[tex]First\\ substitute\\\\2(-6y+7)-9y=14\\\\Then \\ distribute\\\\-12y+14-9y=14\\\\Then\\ combine \\like \\terms\\-21y=0\\\\Then\\ divide\\y=0\\\\Then \\substitute\\x=-6(0)+7\\\\Then\\Distribute\\\\x=0+7\\\\Then\\combine\\like\\terms\\\\x=7\\[/tex]

Hope it helps <3

(Please give brainliest, this took forever :) )

Answer:

a = -6

Step-by-step explanation:

The given line in point-slope form is y + 2 = (1/2)(x - 4).

Replacing x with -4 yields                   y + 2 = (1/2)(-4 - 4)  =  (1/2)(-8)

Then y + 2 = -4, and so y = -6, or a = - 6.

Answer:

-6

Step-by-step explanation:

Answer:

where is the problem?

Step-by-step explanation:

Answer:

I think A is the MOST supported of all of the options.  The author spends the majority of the writing remarking and complimenting the Queen's strength and desire to be concerned with the people of her land.

A) The author respects and admires qualities in the queen.

Step-by-step explanation:

HOPE THIS HELPED!!  :)

Answer:

C. they are eqwal

Step-by-step explanation:

I took the APE_X quiz

The volume of cone and cylinder are same or equal, so they are equal is correct.

a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.

There are two figures one is cone and other is Cylinder.

The volume of cone can be find by using πr²h/3

r=5, h=6

Volume = π(25)(6)/3

=50π

Now to find volume of cylinder.

h=50 and r=1

Volume =  πr²h

=50π

the volumes are same for both cylinder and cone.

Hence, the volume of cone and cylinder are same or equal, so they are equal is correct.

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Answer:

[tex]3.5725 * 10^5[/tex]

Step-by-step explanation:

Given

There are about 3.5725 * 10^4 grains of sand in an 8-ounce cup.

Required

How many grains of sand would there be in a 5-gallon container?

Let x represent the number of grains in 5 gallon; So, From the question, we have that;

8 cups = 3.5725 * 10^4

5 gallon = x

Cross Multiply

x * 8 cups = 5 gallon * 3.5725 * 10^4

Recall that 1 gallon = 16 cups

[tex]x * 8\ cups = 5 * 16\ cups * 3.5725 * 10^4[/tex]

[tex]x * 8 = 5 * 16 * 3.5725 * 10^4[/tex]

Divide both sides by 8

[tex]\frac{x * 8}{8} = \frac{5 * 16 * 3.5725 * 10^4}{8}[/tex]

[tex]x = \frac{5 * 16 * 3.5725 * 10^4}{8}[/tex]

[tex]x = 5 * 2 * 3.5725 * 10^4[/tex]

[tex]x = 10 * 3.5725 * 10^4[/tex]

[tex]x = 3.5725 * 10^5[/tex]

Hence, the number of grains of sand in  5 gallon is [tex]3.5725 * 10^5[/tex]

Answer:

See below in bold.

Step-by-step explanation:

14. f(x) = x^6 e^x

Applying the Product Rule:

f'(x) = x^6 e^x + 6x^5 e^x

= e^x(x^6 + 6x^5).

10. f(x) = x^3 - 4

y = x^3 - 4

x^3 = y + 4

x = ∛(y + 4)  so:

f-1(x) = ∛(x + 4).  (you are correct.)

30. 3 sinh 2

=  3(e^4 - 1) / 2 e^2

= 10.88058

= 10.881.

Answer: Non of the options is correct.

Step-by-step explanation:

Domain of a function are the minimum and maximum values of independent variable (x).

You are given the function:

f(x) = 4x – 8

The domain can be any real numbers.

Range is the minimum to maximum value of dependent variable ( y )

From the given equation:

f(x) = 4x – 8

If the value of domain are substituted, the range will also be any real numbers.

Non of the answers is correct because both the domain and the range are all real numbers.

But the best option among the given option is option A:

domain: {x | x is a real number}; range: {y | y > –8}

Answer:

A on edg

Step-by-step explanation: