There are 2 Senators from each of 50 states. We wish to make a 3-Senator committee in which no two members are from the same state. How many ways can we choose a Senator from a chosen state?

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:

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

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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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Answer:

B

Step-by-step explanation:

Take total displacement and divide by the time it took.

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.

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▹ 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

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

Step-by-step explanation:

Answer:

answer is just C and

Step-by-step explanation:

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:

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:

Here is the full proof:

AC bisects ∠BCD      Given

∠CAB ≅ ∠CAD          Definition of angle bisector

DC ⊥ AD                    Given

∠ADC = 90°               Definition of perpendicular lines

BC ⊥ AB                    Given

∠ABC = 90°               Definition of perpendicular lines

∠ADC ≅ ∠ABC          Right angles are congruent

AC = AC                     Reflexive property

ΔCAB ≅ ΔCAD          SAA

BC = DC                     CPCTC          

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:

the 2nd one

Step-by-step explanation:

b/c

-5/2x-3≤2

-5/2x≤3+2

-5/2x≤5

-5x≤10

x≥10/-5

x≥-2

Answer: I had the same one

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

Answer:

y will be in every single quadrant

Step-by-step explanation:

So we have the equation [tex]y\leq \frac{2}{7} x+1[/tex]  first we will have to look at the equation. It says that y is less than or equal to [tex]\frac{2}{7} x+1[/tex] since y is less than [tex]\frac{2}{7} x+1[/tex] the only place the shaded area where y can be is under the line that is drawn be the equation. When the equation is graphed the y-intercept will be on positive 1 it since slope is rise over run it will look something like the file attached to this. so under the line you can see every single quadrant so that is why it would be that way

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:

[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: 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

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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

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Answer:

x = -3.75

Step-by-step explanation:

First, combine like terms:

x - 5x = -4x

-4x = 15

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Divide -4 from both sides:

(-4x)/-4 = (15)/-4

x = 15/-4

x =  -3.75

-3.75 is your answer for x.

 ~

Answer:

x = -15/4

Step-by-step explanation:

x - 5x = 15

Combine like terms

-4x = 15

Divide each side by -4

-4x/-4 = 15/-4

x = -15/4

The probability that Mark's little brother selects an outfit with a white shirt and gray slacks or an outfit with a black shirt will be [tex]\frac{1}{2}[/tex].

Suppose that there are finite elementary events in the sample space of the considered experiment, and all are equally likely.

Then, suppose we want to find the probability of an event E.

Then, its probability is given as

[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text{Number of total cases}} = \dfrac{n(E)}{n(S)}[/tex]

Where favorable cases are those elementary events who belong to E, and total cases are the size of the sample space.

The probability of the white shirt and the gray slack is;

[tex]\rm P(A) = \frac{1}{6}[/tex]

The probability of the outfit with the black shirt is;

[tex]\rm P(B) = \frac{F(S)}{T(S)} \\\\ \rm P(B) = \frac{5,6}{1,2,3,4,5,6)} \\\\ \rm P(B) ==\frac{2}{6} \\\\ P(B) = \frac{1}{3}[/tex]

The probability that the no favorable outfit with the white shirt and black is;

P(A∩B)=0

The probability that Mark's little brother selects an outfit with a white shirt and gray slacks or an outfit with a black shirt is found by the formula;

P(A or B)= p(A∪B)=P(A)+P(B)-P(A∩B)

P(A∪B)=P(A)+P(B)-P(A∩B)

[tex]\rm P(A \ U \ B)= \frac{1}{6}+\frac{2}{6} -0 \\\\\ P(A \ U \ B)=\frac{1}{2}[/tex]

Hence, the probability that Mark's little brother selects an outfit with a white shirt and gray slacks or an outfit with a black shirt will be [tex]\frac{1}{2}[/tex].

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The probability that Mark's little brother selects an outfit with a white shirt and grey slacks or an outfit with a black shirt is 1/3.

We have to given that,

Mark is going to an awards dinner and wants to dress appropriately.

And, Mark has one blue dress shirt, one white dress shirt, one black dress shirt, one pair of black slacks, one pair of grey slacks, and one red tie.

Since, There are six possible outfits, and we want to find the probability that Mark's little brother selects an outfit with a white shirt and grey slacks or an outfit with a black shirt.

We can use the addition rule of probability:

P(A or B) = P(A) + P(B) - P(A and B)

where P(A) is the probability of selecting an outfit with a white shirt and grey slacks,

P(B) is the probability of selecting an outfit with a black shirt, and

P(A and B) is the probability of selecting an outfit with both a white shirt and grey slacks, and a black shirt.

From the six possible outfits, there is one outfit with a white shirt and grey slacks, and one outfit with a black shirt, so:

P(A) = 1/6

P(B) = 1/6

There is no outfit that satisfies both events A and B, so:

P(A and B) = 0

Therefore:

P(A or B) = P(A) + P(B) - P(A and B)

              = 1/6 + 1/6 - 0

              = 1/3

So, the probability that Mark's little brother selects an outfit with a white shirt and grey slacks or an outfit with a black shirt is 1/3.

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Complete question is,

Mark is going to an awards dinner and wants to dress appropriately. He is running behind schedule and asks his little brother to randomly select an outfit for him.

Mark has one blue dress shirt, one white dress shirt, one black dress shirt, one pair of black slacks, one pair of grey slacks, and one red tie. All six of his possible outfits are listed below.

Let A be the event that Mark's little brother selects an outfit with a white shirt and grey slacks and B be the event that he selects an outfit with a black shirt.

What is P (A or B) , P, left parenthesis, A, start text, space, o, r, space, end text, B, right parenthesis, the probability that Mark's little brother selects an outfit with a white shirt and grey slacks or an outfit with a black shirt?

Answer:

I think similar is the correct answer

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:

Square root ( 2 )

Step-by-step explanation:

We have to determine which value is equivalent to | f ( i ) | if the function is: f ( x ) = 1 - x. We know that for the complex number: z = a + b i , the absolute value is: | z | = sqrt( a^2 + b^2 ). In this case: | f ( i )| = | 1 - i |. So: a = 1, b = - 1. | f ( i ) | = sqrt ( 1^2 + ( - 1 )^2) = sqrt ( 1 + 1 ) = sqrt ( 2 ).  

Answer:

7:10:34

Step-by-step explanation:

1. Ratio outline:

       Length 1:Length 2:Perimeter

2. Length 1 = 35 feet

3. Length 2 = 50 feet

4. Perimeter = Length of all sides

     - Since, a ractangle has 4 sides and the opposite sides are equal, we do Perimeter = 35+50+35+50 = 170

5. Substitute the values into the ratio outline:

        35:50:170

6. Convert into simplest form: Divide by greatest common factor (5)

         7:10:34

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:

where is the problem?

Step-by-step explanation:

Answer:

Option B.

Step-by-step explanation:

The given relation is

[tex]x=2y^2+6[/tex]

At y=-2,

[tex]x=2(-2)^2+6[/tex]

[tex]x=2(4)+6[/tex]

[tex]x=8+6[/tex]

[tex]x=14[/tex]

Similarly,

At y=-1,

[tex]x=2(-1)^2+6=8[/tex]

At y=0,

[tex]x=2(0)^2+6=6[/tex]

At y=1,

[tex]x=2(1)^2+6=8[/tex]

At y=2,

[tex]x=2(2)^2+6=14[/tex]

So, the points for the graph of the relation are (14,-2), (8, -1), (6,0), (8, 1), (14, 2).

Therefore, the correct option is B.

Answer:

1/2n-7

(0×3)+4

(p×5)-2

7+r

s+7

10-t

u-10

2×v

w×2

x÷5

5÷y

Step-by-step explanation:

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▹ Answer

14) 1/2n - 7

15) 3o + 4

16) 5p - 2

17) 7 + r

18) s + 7

19) t - 10

20) 10 - u

21) 2v

22) 2w

23) x ÷ 5

24) 5 ÷ y

Hope this helps!

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