which inequality is represented by this graph ?

Answer:

The probability that all of the offices are filled by members of the debate​ team is 0.0512 and the probability that none of the offices are filled by members of the debate​ team is 0.0256

Step-by-step explanation:

The offices of​ president, vice​ president, secretary, and treasurer for an environmental club will be filled from a pool of 15 candidates.

So, Number of candidates required = 4

Total number of candidates = 15

Number of candidates which are members of the debate team. = 8

So, Number of candidates which are not the members of the debate team = 15-8 =7

The probability that all of the offices are filled by members of the debate​ team = [tex]\frac{^8C_4}{^{15}C_4}=\frac{\frac{8!}{4!\left(8-4\right)!}}{\frac{15!}{4!\left(15-4\right)!}}=0.0512[/tex]

The probability that none of the offices are filled by members of the debate​ team=[tex]\frac{^7C_4}{^{15}C_4}=\frac{\frac{7!}{4!\left(7-4\right)!}}{\frac{15!}{4!\left(15-4\right)!}}=0.0256[/tex]

Hence The probability that all of the offices are filled by members of the debate​ team is 0.0512 and the probability that none of the offices are filled by members of the debate​ team is 0.0256

Step-by-step explanation:

If p = a number is negative and q = the additive inverse is positive, the converse of the original statement is q → p. If q = a number is negative and p = the additive inverse is positive, the contrapositive of the original statement is ~p → ~q.

Answer:

x=-2, y=1

Step-by-step explanation:

y=3x+7

y=-2x+3

Set the two equations equal to each other:

3x+7=-2x-3

Add 2x to both sides:

5x+7=-3

Subtract 7 from both sides:

5x=-10

Divide both sides by 5:

x=-2

Plug back into one of the original equations to find y:

y=3(-2)+7=-15+7=1

Hope this helps!

Answer:

Step-by-step explanation:

eq. of line is 3x-5y=8

5y=3x-8

y=3/5 x-8/5

its slope=3/5

slope of line perpendicular to it=-5/3

eq of line with slope -5/3 and passing through (3,7) is

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

or 3y-21=-5x+15

or 5x+3y=15+21

or 5x+3y=36

Answer:

This rectangular solid has 6 faces.

Step-by-step explanation:

The four sides and the top and bottom equal 6 faces.

Answer:

the answer is 6

Step-by-step explanation:

just count them

Answer:

B: 24 cm

Step-by-step explanation:

The triangle is ((4*3)/2). The squares are 12 (3*4) and 6 (1.5*4)

Answer:

24 cm^2

Step-by-step explanation:

We can find the area of the figure, surface area is for three dimensional figures

The area of the triangle is

A = 1/2 bh

A = 1/2 (3) *4 = 6

The area of the top rectangle is

A = l*w = 3 * (8-4) = 3* 4 = 12

And the area of the bottom rectangle

A = l*w = 1.5 ( 8-4) = 1.5*4 =6

The total area is the sum of the individual areas

6+12+6 = 24

24 cm^2

Answer: y<-12

Step-by-step explanation:

[tex]-\frac{3}{4}y>9[/tex] is our einequality we are given. To solve, we want to get x alone. We would have to multiply both sides by -4/3.

[tex]y>-12[/tex]

You may thing this is the answer, but it is very close. When you multiply or divide by a negative number, you flip the sign. Therefore, the answer is [tex]y<-12[/tex].

Answer:

17-(- 2 / 5j)

Step-by-step explanation:

16 + (- 5 ) - 2/5j - 4/5 j + 6

    \/                  \/            \/

    11-         ( -2/5j )       + 6

From here you over  the 6 over to the 11

11+6-(-2/5j)

 \/

17-(-2/5j)

It can not be simplified farther I believe

Answer:

As you may know, the addition of all the interior angles of a triangle always adds up to 180°.

So if we know two angles of the triangle, A1, and A2, we can find the third angle as:

A1 + A2 + X = 180°

X = 180° - A1 - A2.

Se with only knowing two angles, we can find the third angle.

So aaa is a criteria equivalent to aa.

Now, the problem with this criteria is that also works for finding similar triangles (for example, an equilateral triangle of sides 10 and an equilateral triangle of sides 20 are similar, as the angles are the same, but are not congruent, as the length of the sides is different) and this happens because we only have information of the angles and know nothing of the sides.

Answer:

x2-x-8=0

Step-by-step explanation:

The first term is,  x2  its coefficient is  1 .

The middle term is,  -x  its coefficient is  -1 .

The last term, "the constant", is  -8  

Step-1 : Multiply the coefficient of the first term by the constant   1 • -8 = -8  

Step-2 : Find two factors of  -8  whose sum equals the coefficient of the middle term, which is   -1 .

     -8    +    1    =    -7  

     -4    +    2    =    -2  

     -2    +    4    =    2  

     -1    +    8    =    7  

Answer:

relatively prime. Two integers are relatively prime (or coprime) if there is no integer greater than one that divides them both (that is, their greatest common divisor is one). For example, 12 and 13 are relatively prime, but 12 and 14 are not.

Step-by-step explanation:

Answer:

Two integers

Step-by-step explanation:

Two integers are relatively prime.

Answer:

y=0.5x-4

Step-by-step explanation:

y+3=0.5(x-2)

y+3=0.5x-1

y=0.5x-4

Answer:

B and E

Step-by-step explanation:

Answer:

B) 13/2 divided by 3/4 and E) 13/2(4/3)

Answer:

[tex] \boxed{4 \sqrt[8]{ {d}^{3} } } [/tex]

Step-by-step explanation:

[tex] = > 4 {d}^{ \frac{3}{8} } \\ \\ = > 4({d}^{3 \times \frac{1}{8} }) \\ \\ = > 4( {d}^{3} \times {d}^{ \frac{1}{8} } ) \\ \\ = > 4( {d}^{3} \times \sqrt[8]{d} ) \\ \\ = > 4 \sqrt[8]{ {d}^{3} } [/tex]

Answer:

First find the area of the rectangle.

length x width = area

160 x 20 = 3200 area of rectangle

150 - 20 = 130

160 - 110 = 50

length x width / 2 = area of triangle

130 x 50 = 6500 / 2 = 3250

3200+3250=6450 square meters

Hope this helps

Step-by-step explanation:

Answer:

1/10 or 10%

Step-by-step explanation:

99 possible numbers starting from 10

1,2,3,4,5,6,7,8,9 does not count

99-9=90

90 numbers total

possible numbers with a 0: 9

9/90 = 1/10 = 10%

Answer:

2<x

Step-by-step explanation:

less than x

Answer:

n-2

Step-by-step explanation:

lets put the variable N to mean the "number"

Subtraction is used to take away a certain amount, so 2 less than is that certain number subtracted 2

which can be written as n-2

Answer:

x=-12

Step-by-step explanation:

(-22 + 3x) /( 3x+7) =2

Multiply each side of the equation by 3x+7

-22+3x = 2(3x+7)

Then distribute

-22 +3x = 6x+14

Subtract 3x from each side

-22 = 3x+14

Subtract 14 from each side

-36 = 3x

Divide by 3

-12 =x

Answer:

Combining like terms together we get 4x - 7x = -3x and 4 - 9 = -5 so the answer is 8x² - 3x - 5.

Answer:

I think to get used to this I will have to give up what I think is real and take up something else.

Explanation:

The crime novel Monster by Walter Dean Myers tells the story from the point of view of the prime protagonist Steve Harmon through his diary form of writing about his life in prison. Though there is also the omniscient third-person narrator at times, the narration mostly takes place through the voice of Steve Harmon.

The narrative structure of any plot of a story is the order or manner in which the narration of the story takes place/ is done. It may include character, plot, conflict, setting and resolution. And in this particular text/ novel, the function of the narrative structure is best displayed in the line spoken by Harmon, "I think to get used to this I will have to give up what I think is real and take up something else".

Answer:

I think to get used to this I will have to give up what I think is real and take up something else.

Step-by-step explanation:

Answer:

1) False, the point would get flipped diagonally, to -4, 4.

2) True, the point would get flipped diagonally, to -2, 6

3) False, the point would get flipped diagonally, to -3, 1

4) True, the point would get flipped diagonally, to 5, 2

5) True, the point would get flipped diagonally, to 7, 5

6) False, the point would get flipped diagonally, to -9, 3

7) True, the point would get flipped diagonally, to -5, 4

8) True, the point would get flipped diagonally, to 2, 1

Answer:

1. true

2. false

3. true

4. false

5. false

6. true

7. false

8. false

Step-by-step explanation:

DONT TRUST ME ON THESE ANSWERS CAUSE IM NOT 100% SURE :0

Answer:

P = 3,500   r = 0.0425    n = 12    t = 0.5

Step-by-step explanation:

P is the principal amount, which in this case is $3,500, or the start amount.

r is the interest rate, which is 4.25%. Change 4.5% to decimal form and it will be 0.0425.

n is the number of times the loan is repaid, or 12.

t is the time. In this case, the loan will be for 6 months, or half a year. Remember that variable t is always in term of years. In decimal form, half a year is 0.5.

Answer:

AC congruent to EC

Step-by-step explanation:

This problem is asking specifically to prove triangles congruent using HL.

HL is a method of proving triangles congruent. HL stands for Hypotenuse-Leg. If you can show that the hypotenuse and leg of one right triangle are congruent to the hypotenuse and leg, respectively, of another triangle, then the triangles are congruent.

Looking at triangle ABC and EDC, we see that the legs AB and ED are congruent. We already have a pair of corresponding congruent legs. Now we need a pair of hypotenuses.

You need AC congruent to EC.

Answer:

AC congruent to EC

Step-by-step explanation: I took the test

Answer:

48

Step-by-step explanation:

Total points = 60

% = 80%

Therefore no. of points right = 80/100×60 = 48

Answer:

$.03 per second

Step-by-step explanation:

Take the debt and divide by  the number of years

4 , 253 , 335 /5

850667 per day

The divide by how many days in a year

850667/365

2330.594521 per day

Then divide by 24 hours in a day

2330.594521 /24

97.10810502 per hour

Then divide by 60 minutes in an hour

97.10810502/60

1.618468417 per minute

The divide by 60 seconds  in an hour

1.618468417/60

.026974474 per second

$.03 per second

Answer:

t^12

Step-by-step explanation:

Because both multiplicands are negative, their product will be positive.  Both multiplicands are to the same base:  t.

Therefore, the product is t^(7 + 5), or t^12.

Answer:

The expression can be simplified into [tex]2\,\sqrt{5} +2\sqrt{2}[/tex]

with no square roots in the denominator

Step-by-step explanation:

We are considering the expression  [tex]\frac{6}{\sqrt{5}-\sqrt{2} }[/tex]  which I believe is what you wanted to type in your question.

The idea behind simplification of the expression, is normally associated with the rationalization of the denominator by eliminating irrational numbers from it. This means to get rid of any "irrational" number expression (like in this example, the square root of non-perfect square numbers ([tex]\sqrt{5}\,\,\,and \,\,\sqrt{2}[/tex]).

We proceed by writing this quotient in an equivalent form by multiplying its numerator and its denominator by what is called the "conjugate" of the denominator. In our case, multiply by " [tex](\sqrt{5} +\sqrt{2})[/tex] ", because such product will allow the denominator to become a rational number:

[tex]\frac{6}{\sqrt{5}-\sqrt{2} }\,*\,\frac{(\sqrt{5}+\sqrt{2} )}{(\sqrt{5}+\sqrt{2}) } =\frac{6\,(\sqrt{5}\,+\,\sqrt{2} )}{\sqrt{5}^2-\sqrt{2}^2 }=\frac{6\,(\sqrt{5}\,+\,\sqrt{2} )}{3}=2\,\sqrt{5} +2\sqrt{2}[/tex]

where we find all square roots eliminated from the denominator

Answer:

x=9, y=42

Step-by-step explanation:

y=4x+6

y=6x-12

Substitute the second equation into the first:

6x-12=4x+6

Subtract 4x from both sides:

2x-12=6

Add 12 to both sides:

2x=18

Divide both sides by 2:

x=9

Plug this back into one of the equations to find y:

y=4(9)+6=36+6=42

Hope this helps!

Answer:

x = 26 - 21 = 5

Answer:

x=5

Step-by-step explanation: Subtract 21 from both sides. x = 5.