Using the table below,which statement best describes whether or not the relationship identifies a function?

9.30232558% | 2 d.p (9.3%)

First add all of the votes together.

= 86

Put 86 as a denominator and place 8 (amount of votes for home) as a numerator.

We have \(\frac{8}{86}\)

Simplify this into:

\(\frac{4}{43}\)

Now convert this into a percentage by doing

4 ÷ 43

x 100

= 9.3

Answer: X and Y are supplementary angles. The sum of the supplementary angles is 180.

So, X + Y = 180

180 = 2n+12 + 3n + 18

180 = 5n + 30

5n = 150

n = 30

X = 2n+12

X = 2(30) + 12

X = 72

Y = 3n + 18

Y = 3(30) + 18

Y = 108

Step-by-step explanation:

Answer:

side 1^2 + side 2 ^2 = hypotenuse ^ 2

18^2 + 20^2 = hypotenuse^2

324 + 400 = 724

hypotenuse^2 = 724

hypotenuse = 26.9072480941474

hypotenuse = 26.9

Step-by-step explanation:

The first question:

"A spinner has an equal chance of landing on each of its eight numbered regions. After spinning, what is the probability you land on region three and region six?"

Since the spinner has an equal chance of landing on each of its eight regions, the probability of landing on region three is 1/8, and the probability of landing on region six is also 1/8.

To find the probability of both events occurring (landing on region three and region six), you multiply the probabilities together:

P(landing on region three and region six) = P(landing on region three) * P(landing on region six) = (1/8) * (1/8) = 1/64.

Therefore, the probability of landing on both region three and region six is 1/64.

The events are mutually exclusive because it is not possible for the spinner to land on both region three and region six simultaneously.

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The second question:

"A bag contains six yellow jerseys numbered 1-6. The bag also contains four purple jerseys numbered 1-4. You randomly pick a jersey. What is the probability it is purple or has a number greater than 5?"

To find the probability of either event occurring (purple or number greater than 5), we need to calculate the probabilities separately and then add them.

The probability of picking a purple jersey is 4/10 since there are four purple jerseys out of a total of ten jerseys.

The probability of picking a jersey with a number greater than 5 is 2/10 since there are two jerseys numbered 6 and above out of a total of ten jerseys.

To find the probability of either event occurring, we add the probabilities together:

P(purple or number greater than 5) = P(purple) + P(number greater than 5) = (4/10) + (2/10) = 6/10 = 3/5.

Therefore, the probability of picking a purple jersey or a jersey with a number greater than 5 is 3/5.

The events are overlapping since it is possible for the jersey to be both purple and have a number greater than 5.

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The third question:

"A box of chocolates contains six milk chocolates and four dark chocolates. Two of the milk chocolates and three of the dark chocolates have peanuts inside. You randomly select and eat a chocolate. What is the probability that it is a milk chocolate or has no peanuts inside?"

To find the probability of either event occurring (milk chocolate or no peanuts inside), we need to calculate the probabilities separately and then add them.

The probability of selecting a milk chocolate is 6/10 since there are six milk chocolates out of a total of ten chocolates.

The probability of selecting a chocolate with no peanuts inside is 7/10 since there are seven chocolates without peanuts out of a total of ten chocolates.

To find the probability of either event occurring, we add the probabilities together:

P(milk chocolate or no peanuts inside) = P(milk chocolate) + P(no peanuts inside) = (6/10) + (7/10) = 13/10.

Therefore, the probability of selecting a milk chocolate or a chocolate with no peanuts inside is 13/10.

The events are mutually exclusive since a chocolate cannot be both a milk chocolate and have no peanuts inside simultaneously.

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The fourth question:

"You flip a coin and then roll a fair six-sided die. What is the probability the coin lands heads up and the die shows an even number?"

The probability of the coin landing heads up is 1/2 since there are two possible outcomes (heads or tails) and they are equally likely.

The probability of rolling an even number on the die is 3

/6 or 1/2 since there are three even numbers (2, 4, and 6) out of a total of six possible outcomes.

To find the probability of both events occurring (coin lands heads up and die shows an even number), we multiply the probabilities together:

P(coin lands heads up and die shows an even number) = P(coin lands heads up) * P(die shows an even number) = (1/2) * (1/2) = 1/4.

Therefore, the probability of the coin landing heads up and the die showing an even number is 1/4.

The events are independent since the outcome of flipping the coin does not affect the outcome of rolling the die.

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

The values of x and y after solving this system of equations will be 32/35 and -88/105 respectively.

System of equations are a set of two or more equations that contain variables. The values of the variables can be calculated using either method of elimination or substitution. The values of the variables must then satisfy all the equations.

For a set of two equations, in elimination we make the coefficient of any one variable equal to the coefficient of the same variable in the other equation. This can be done by multiplying or dividing the whole equation accordingly. Then we subtract the equations from each other and solve for one variable.

6x - 3y = 8 (multiplying this equation by -2 to make the coefficient of y equal to that of in the equation 23x + 6y = 16)

Now are equations are

-12x + 6y = -16 and 23x + 6y = 16

subtracting eq 1 from eq 2 gives,

35x = 32 (Note that y has now been eliminated)

x = 32/35

Substituting this value of x in any one of the equations will then give the value of y to be -88/105

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The amount of work done when a load of 50 newton is lifted through a distance of 6m is 300 joules.

Work done is simply the energy transfer that takes place when an object is either pushed or pulled over a distance by an external force.

It is expressed as;

Work done = force × distance

Given the data in the question;

To determine the work done, plug the given values into the above formula and solve W.

Work done = force × distance

Work done = 50kgm/s² × 6m

Work done = 50kgm²/s² × 6

Work done = 300kgm²/s²

Work done = 300J

Therefore, 300 joules is the work done in lifting the load.

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The csc(theta) = 1/sin(theta) = 1/(-2/√13) = -√13/2. So, the cosecant of theta is -√13/2.

To find the cosecant (csc) of theta when a point (-3, -2) lies on its terminal side, we need to determine the hypotenuse (r) of the right triangle formed by this point.

Using the Pythagorean theorem, r^2 = (-3)^2 + (-2)^2. So, r^2 = 9 + 4 = 13, and r = √13.

The csc(theta) is the reciprocal of sin(theta). Sin(theta) is calculated as the ratio of the opposite side (y-coordinate) to the hypotenuse, or sin(theta) = -2/√13.

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The angle the pole makes with the tent is 39.7°.

What is an angle?

An angle is a figure in Euclidean geometry created by two rays, called the sides of the angle, that share a common termination, called the vertex of the angle.

Angles formed by two rays are located in the plane containing the rays.

Trigonometric ratio: the trigonometric ratio is used to demonstrate the relationship between the sides and angles of a right-angled triangle.

Let θ represent the angle the pole makes with the tent.

Using trigonometric ratios:

cos(θ) = 20/26

θ = 39.7°

Therefore, the angle the pole makes with the tent is 39.7°.

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Answer:

15

-----

32

Step-by-step explanation:

3             5              15

--      *     --      ==     ---

4             8              32

Answer:

8x²-30x+18

Step-by-step explanation:

8x²-24x-6x+18

8x²-30x+18

Answer:

\(8x^{2} -30x+18\)

Step-by-step explanation:

\(8x^{2} -24x-6x+18\)

\(8x^{2} -30x+18\)

The most appropriate choice for function can be given by

q\(o\)p(3) =  \(\sqrt{15}+1\)

p\(o\)q(3) =  \(2\sqrt{3} + 10\)

What is function?

A function from A to B is a rule that maps to each element of A a unique element of B.

A is called the domain of the function and B is called the co domain of the function.

We can do addition, subtraction, multiplication, division and composition on functions.

Let f and g be two functions

f\(o\)g(x) = f(g(x)) and g\(o\)f(x) = g(f(x))

This is known as composition of function.

Here,

\(p(x) = x^2 + 6\\q(x) = \sqrt{x} +1\)

q\(o\)p(x) = q(p(x))

          =\(q(x^2+6)\)

          = \(\sqrt{x^2+6}+1\)

q\(o\)p(3) = \(\sqrt{3^2+6}+1\)

          = \(\sqrt{15}+1\)

p\(o\)q(x) = p(q(x))

          = p(\(\sqrt{x}+1\))

          = \((\sqrt{x}+1)^2+6\)

          = \(x + 1 + 2\sqrt{x} + 6\)

          = \(x + 2\sqrt{x} +7\)

p\(o\)q(3) = \(3 + 2\sqrt{3} +7\)

               \(2\sqrt{3} + 10\)

               \(2\sqrt{3} + 10\)

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Answer:

8/4 + 4/4

Step-by-step explanation:

Try it im not good at math :( but hope it helps :(:

Answer:

maximum --> 62

median --> 46.5

upper quartile --> 60

lower quartile --> 37

minimum --> 32

Step-by-step explanation:

Forgive me on the explanation as I'm a bit rusty on these types of problems.

First, we need to put the set of numbers in order -->

from: 34, 37, 39, 32, 48, 45, 53, 62, 58, 61, 60, 41 -->

to: 32, 34, 37, 39, 41, 45, 48, 53, 58, 60, 61, 62

maximum = biggest number => thus, 62

median = middle number in a sense => (45+48)/2 => thus, 46.5

upper quartile = median over the median => thus, 60

lower quartile = median under the median => thus, 37

minimum = lowest number => thus, 32

And there we have our 5 answers.

Hope this helps!

Answer: 4 out of 13

Step-by-step explanation:

Total letters in "MASSACHUSSETT " = 13

Number of S = 4

Probability of an event = \(\dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}\)

The probability of selecting the  letter S = \(\dfrac4{13}\)  [already in lowest term as gcd(4,13)=1]

Hence, the probability of selecting the  letter S = 4 out of 13.

Answer: The absolute values of 7 and -7 are equal because they are both a distance of 7 units from 0 on the number line.

The required probability is,

⇒ P(Pink, Blue) = 9/32

To begin,

Determine the total number of sections on the spinner.

Then,

Total sections = 2 (yellow) + 3 (pink) + 3 (blue)

The probability of getting pink on the first spin and blue on the second spin.

⇒ P(Pink, Blue) = P(Pink) x P(Blue | Pink)

To find P(Pink),

Divide the number of pink sections by the total number of sections,

⇒ P(Pink) = 3 / (2 + 3 + 3)

                = 3/8

To find P(Blue | Pink),

Divide the number of blue sections by the remaining sections after the first spin,

⇒ P(Blue | Pink) = 3 / (2 + 3 - 1)

                           = 3/4

(After the first spin, we remove 1 from the total number of parts because we have already taken one portion - the pink section - out of play.)

So, putting it all together, we get,

⇒ P(Pink, Blue) = (3 / (2 + 3 + 3)) x ( 3/ (2 + 3 - 1))

Hence,

⇒ P(Pink, Blue) = (3/8) x (3/4)

                         = 9/32

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Answer: hii :)

1.  2x-8=11x-10 = 2/9

2. 6x-6=3x+1 = 7/3

3. 1/2x+4=1/3x+1 = -18

4. -2/5x+1/3=1/2x+1/4 = 5/54

5. I dont know the answer to <3

Step-by-step explanation:

Hopefully this helps you,

Sorry for being late on the question.

- Matthew

Answer:

6

Step-by-step explanation:

s=9, t=12

2s-t = 2*9 -12 = 18 -12 = 6

Answer:

the answer is 6

Step-by-step explanation:

Because you do 2 times 9 = 18 then 18 - 12 = 6

Answer:

-2s is ur answer

hope it helps u

Answer:

Step-by-step explanation:

2s+(−4s)

Combine 2s and −4s to get −2s.

−2s

Answer:

The Answer is x=2

Step-by-step explanation:

Hope this helps!!!!

Answer:

x=2  

Step-by-step explanation:

4x+3=11

4x=11-3      ( subtract 3 on both sides)

4x=8

x=2            ( divide 4 on both sides)

Answer:

862 books

Step-by-step explanation:

You have to divide

Answer:

Italian

Step-by-step explanation:

what subject is this

The angles which measure 20 degrees are∠1 ,∠5 ,∠7 ,∠9 ,∠11 ,∠14 ,∠16. The solution has been obtained using the properties of parallel lines.

Parallel lines are any two or more lines that lie in the same plane, are equally spaced apart, and never cross one another.

We are given t || x and k || w and m∠3 = 20°

Using the properties of parallel lines, we get -

∠3 = ∠1            (As these are vertically opposite angles)

∠3 = ∠5           (As these are alternate interior angles)                

∠3 = ∠7             (As these are corresponding angles )

Now,

∠4 = 180 - ∠3                     (As they form a linear pair)

∠10 = 180 - ∠9                    (As they form a linear pair)

Also,

∠10 = ∠4                            (Parallelogram's opposite angles are same)

So,

180 - ∠9 = 180 - ∠3

∠3 = ∠9                                                       .... [ii]

∠9 = ∠11               (As these are vertically opposite angles)

∠3 = ∠11               ( from [ii] )                                           .... [iii]

∠11 = ∠14               (As these are alternate interior angles)

∠3 = ∠14               ( from [iii] )                                               .... [iv]

∠14 = ∠16               (As these are vertically opposite angles)

∠3 = ∠16               ( from [iv] )    

Hence, the angles which measure 20 degrees are

∠1 ,∠5 ,∠7 ,∠9 ,∠11 ,∠14 ,∠16.

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The solution is:

If my parents are going to pay the 5%, then, they will pay: $2979.

I will need to save $62.06 each month to accomplish my goal.

Here,

I'm going to a 4-year college that will cost $14895/year.

It means that I will need to pay: 14895*4 = $59.580

If my parents are going to pay the 5%, then, they will pay: $2979.

Now, if I want to save my total contribution for all four years, and I have four years to accomplish  the goal, then:

Then, if I have 4 years to pay it. It means I have 4*12 = 48 months.

Then I will need to save $2979./48 = $62.06 each month to accomplish my goal.

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complete question:

You are going to a 4-year college in 4 years that will cost $14,895.00/yr. Your parents expect you to pay 5% of the total cost.

How much do you need to pay for each year of attending?

If you want to save your total contribution for all four years before you start attending college, how much do you need to save each month if you have four years to accomplish your goal?

The probability of getting a black card and a numbered card is 9/26.

To calculate the probability of getting a black card (E1), we need to determine the number of black cards in a standard deck of 52 cards.

There are 26 black cards in total, which consist of 13 spades (black) and 13 clubs (black).

Therefore, the probability of drawing a black card (P(E1)) is:

P(E1) = Number of favorable outcomes / Total number of possible outcomes

P(E1) = 26 / 52

Simplifying this fraction, we get:

P(E1) = 1/2

So the probability of drawing a black card is 1/2.

To calculate the probability of drawing a numbered card (E2), we need to determine the number of numbered cards (2 through 10) in a standard deck.

Each suit (spades, hearts, diamonds, clubs) contains one card for each numbered value from 2 to 10, totaling 9 numbered cards per suit.

Therefore, the probability of drawing a numbered card (P(E2)) is:

P(E2) = Number of favorable outcomes / Total number of possible outcomes

P(E2) = 36 / 52

Simplifying this fraction, we get:

P(E2) = 9/13

So the probability of drawing a numbered card is 9/13.

To calculate the probability of both events occurring together (getting a black card and a numbered card), we multiply the individual probabilities:

P(E1 ∩ E2) = P(E1) × P(E2)

P(E1 ∩ E2) = (1/2) × (9/13)

Simplifying this fraction, we get:

P(E1 ∩ E2) = 9/26

Therefore, the probability of getting a black card and a numbered card is 9/26.

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Answer: (5 , 1)

Step-by-Step explanation:

hihi your problem is a system of question y = x-4 and  y = -x+6 okay so  graph them both normally and then find the point where they intersect which is gonna be a coordinate point, and that's your solution !!

y = x-4
the y intersect is going to be 4
the slope is a positive 1 , going up to the right, through the positive quadrant, line is facing to the right

y = -x+6
the y intersect is going to be -6
the slope is going to be a -1 , following up the opposite way the line is going to face the left

once you graph them both you'll see the point of intersection, the solution
make sure you drew your lines very clearly !!!!

the solution is  x = 5 and y = 1 which is also (5 , 1)

hopefully this was helpful !