what is the image of (8,-1) after a reflection over the line y=x

The probability that a particular passenger chooses chips and soda as a snack is 0.25 or 25%.

In mathematics, probability is considered as the chances a specific situation or event occurs.

For example, you can calculate the probability that it rains tomorrow based on general weather patterns.

For example,

if you throw a die, then the probability of getting 1 is 1/6.

Similarly, the probability of getting all the numbers from 2,3,4,5 and 6, one at a time is 1/6.

How to calculate the probability of two events happenning?

Now,

Given that:

0.5 x 0.5

= 0.25

= 25% (0.25 x 100)

Hence,  the  probability of a passenger choosing chips and soda as a snack is 0.25 or 25%.

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It may seem random, but it's heavily biased toward those who participate in politics. It leaves out people who have not contacted the senator. A better method would be to look at voter registration data, and send out surveys to random people on the list.

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Work Shown:

x = amount of money collected before tax is added

3% = 3/100 = 0.03

3% of x = 0.03x = amount of tax

x + 0.03x = adding on tax to original amount

1.03x = amount after tax is added

1.03x = 2766.58

x = 2766.58/1.03

x = 2686 is the amount of money before the 3% sales tax is added

0.03x = 0.03*2686 = 80.58 is the amount of sales tax collected

As a check,

2686+80.58 = 2766.58

which confirms our answer

Answer:

Tax collected= $80.58

Step-by-step explanation:

Let's say that the amount he got from services was "x", and to that he had to add a 3% of sales tax.

Recall that 3% in math form is written as: 3/100 = 0.03

then, he had to include 0.03 times x to the "x" amount in hotel services:

x + 0.03 x = 2766.58

1.03 x = 27688.58

x = 27688.58/1.03

x= $2686

Then, the amount for the taxes is 3% of this which is:

0.03 * 2686 = $80.58

Answer:

The diagram for the question is missing, but I found an appropriate diagram fo the question:

Proof:

since OC = CD = 297mm Therefore, Δ OCD is an isoscless triangle

∠BCO = 45°

∠BOC = 45°

∠PCO = 45°

∠POC = 45°

∠DOP = 22.5°

∠PDO = 67.5°

∠ADO = 22.5°

∠AOD = 67.5°

Step-by-step explanation:

Given:

AB = CD = 297 mm

AD = BC = 210 mm

BCPO is a square

∴ BC = OP = CP = OB = 210mm

Solving for OC

OCB is a right anlgled triangle

using Pythagoras theorem

(Hypotenuse)² = Sum of square of the other two sides

(OC)² = (OB)² + (BC)²

(OC)² = 210² + 210²

(OC)² = 44100 + 44100

OC = √(88200

OC = 296.98 = 297

OC = 297mm

An isosceless tringle is a triangle that has two equal sides

Therefore for △OCD

CD = OC = 297mm; Hence, △OCD is an isosceless triangle.

The marked angles are not given in the diagram, but I am assuming it is all the angles other than the 90° angles

Since BC = OB = 210mm

∠BCO = ∠BOC

since sum of angles in a triangle = 180°

∠BCO + ∠BOC + 90 = 180

(∠BCO + ∠BOC) = 180 - 90

(∠BCO + ∠BOC) = 90°

since ∠BCO = ∠BOC

∴  ∠BCO = ∠BOC = 90/2 = 45

∴ ∠BCO = 45°

∠BOC = 45°

∠PCO = 45°

∠POC = 45°

For ΔOPD

[tex]Tan\ \theta = \frac{opposite}{adjacent}\\ Tan\ (\angle DOP) = \frac{87}{210} \\(\angle DOP) = Tan^-1(0.414)\\(\angle DOP) = 22.5 ^{\circ}[/tex]

Note that DP = 297 - 210 = 87mm

∠PDO + ∠DOP + 90 = 180

∠PDO + 22.5 + 90 = 180

∠PDO = 180 - 90 - 22.5

∠PDO = 67.5°

∠ADO = 22.5° (alternate to ∠DOP)

∠AOD = 67.5° (Alternate to ∠PDO)

Answer:

44.73 mph

Step-by-step explanation:

Answer:

20 meters per second

Step-by-step explanation:

400m/20s = 20 m/s

Answer:

The answer to which expression is equivalent to 2(a+3b) is 2a+6b

Answer:Do you have a picture of the answers

Step-by-step explanation:

Answer:

[tex]x=13[/tex]

Step-by-step explanation:

So we have the equation:

[tex]4(x+7)=80[/tex]

First, divide everything by 4:

[tex](4(x+7))4=(80)/4[/tex]

Simplify:

[tex]x+7=20[/tex]

Subtract 7 from both sides:

[tex]x=13[/tex]

So our answer is 13 :)

Answer:

2k

Step-by-step explanation:

[tex] - k + 3k[/tex]

Add or subtract the numbers

[tex]2k[/tex]

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{ 2k}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{ - k + 3k}[/tex]

Collect like terms

⇒2k

Hope I helped!

Best regards! :D

Answer:

(1,2) (3,2) ( 5,2)

Step-by-step explanation:

Each input value can only go to one output value

The only one that has each input only going to one output is (1,2) (3,2) ( 5,2)

Answer: -28/6

Step-by-step explanation:

6 ( n + 5 ) = 2

first, distribute "6(n+5)".

6n + 30 = 2

subtract 30 from both sides.

6n = -28

n = -28/6

Answer:

6 cm

Step-by-step explanation:

use Pythagorean theorem a² + b² = c²

let c = 10 cm  ,  b = 8 cm

plug in values

a² + 8² = 10²

a² = 10² - 8²

a = [tex]\sqrt{10^2 - 8^2}[/tex]

a = 6 cm

Answer:

6 cm

Step-by-step explanation:

We can use the Pythagorean Theorem to find the length of the missing side.

The Pythagorean Theorem states that the hypotenuse of a right triangle will be [tex]a^2 + b^2[/tex], where a and b are the leg lengths.

Together, we get the formula [tex]a^2 + b^2 = c^2[/tex].

Since we know the hypotenuse (c) and one of the sides (let's say a), we can find the missing side (b) by substituting inside the equation.

[tex]8^2 + b^2 = 10^2\\\\64 + b^2 = 100\\\\b^2 = 100-64\\\\b^2 = 36\\\\b = \sqrt{36}\\\\b=6[/tex]

So the missing side is 6 cm long.

Hope this helped!

Answer:

2 sqrt(5) =x

Step-by-step explanation:

We can use the Pythagorean theorem since this is a right triangle

a^2 + b^2 = c^2

2^2 +4^2 = x^2

4+16 = x^2

20 = x^2

Take the square root of each side

sqrt(20) = sqrt(x^2)

sqrt(4*5) = x

sqrt(4) sqrt(5) =x

2 sqrt(5) =x

Answer:

(3x-2y)=-4(5x-3y)=-2

Answer:

80N

Step-by-step explanation:

F = ma (Newton's second law)

When F=48N, a = 6m/s2

--> m = F/a = 48/6 = 8 (kg)

When a = 10m/s2

--> F = ma = 8 . 10 = 80N

Hey there! I'm happy to help!

Let's call these numbers x and y and model the information we have.

x=1/5y

y-x=228 (we see that x is smaller than y in the first equation, so we put it second )

We see that x is equal to 1/5y. We can switch the x in the second equation with 1/5y and solve for y.

y-1/5y=228

4/5y=228

We divide both sides by 4/5.

y=285

We know that x is 1/5 of y, so we divide by 5.

285/5=57

x=57

So, our numbers are 57 and 285.

Have a wonderful day! :D

The 2 positive numbers are 285 and 57 and they have a difference of 228.

An equation is an expression used to show the relationship between two or more numbers and variables.

Let x represent the bigger positive number and y the smaller number. Hence:

Also:

Solving equation 1 and 2 simultaneously gives:

x = 285, y = 57

The 2 positive numbers are 285 and 57 and they have a difference of 228.

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Answer:

182

Step-by-step explanation:

182= 13.49

162= 12.73

204= 14.28

221=14.87

The irrational number represented by point D is 182. The correct option is A.

Irrational numbers are all real numbers that are not rational numbers in mathematics. Irrational numbers, on the other hand, cannot be stated as the ratio of two integers.

A number line in elementary mathematics is a representation of a graduated straight line that serves as an abstraction for real numbers, represented by the symbol R." It is assumed that every point on a number line corresponds to a real number and that every real number corresponds to a point.

The value on the number line 13.49 is equal to the square root of 182.

√182= 13.49

√162= 12.73

√204= 14.28

√221=14.87

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Answer:

x ≤ - 2

Step-by-step explanation:

Given

- 3x + 3 ≥ 9 ( subtract 3 from both sides )

- 3x ≥ 6

Divide both sides by - 3, reversing the symbol as a result of dividing by a negative quantity.

x ≤ - 2

Answer:

x<or equal to -2

Step-by-step explanation:

-3x>or equal to 9-3

-3x>or equal to 6(dividing both of them by -3)

x<or equal to -2

Answer:

c

Step-by-step explanation:

Answer:

the answer is C

Step-by-step explanation:

The sum of the expressions (7x – 6y) and (3x – 5y) will be 10x – 11y.

Making anything easier to accomplish or comprehend, as well as making it less difficult, is the definition of simplification.

The expressions are given below.

(7x – 6y) and (3x – 5y)

Then the sum of the expressions will be

⇒ (7x – 6y) + (3x – 5y)

⇒ 7x – 6y + 3x – 5y

⇒ 10x – 11y

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The answer to the question is 9,700.

Answer:

Step-by-step explanation:

5w + 4 = 2w + 19

3w + 4 = 19

3w = 15

w = 5

Answer:

Hey there!

17n+5.4-3=64

17n+2.4=64

17m=61.6

m=3.623529...

Did you make a typo on the question?

Answer:

51

Step-by-step explanation:

[tex]z^{2}[/tex] + 3z - 3

36 + 18 - 3

51

A line segment is also a line but a line with finite length and fixed endpoints. The length of the line segment PT is 23 units. The correct option is D.

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely.

A line segment is also a line but a line with finite length and fixed endpoints.

Given that point T will lie between points P and B. Therefore, Point T is on the line segment PB. Therefore, it can be said  Thus, we can write,

PB = PT + TB

As given the length of PB is 35 units, the length of TB is 12 units,

35 units = PT + 12 units

35 units - 12 units = PT

PT = 23 units

Hence, the length of the line segment PT is 23 units.

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Answer:

Nifal received $ 4 for washing the first car.

Nifal received $ 5 for washing the second car.

4 and 5 have a sum of 9.

Step-by-step explanation:

The problem can be rewritten as follows: Find the sum of two consecutive entire numbers equal to 9. That is:

[tex]x + y = 9[/tex]

[tex]y = x+1[/tex]

Then, by eliminating y:

[tex]x + (x+1) = 9[/tex]

[tex]2\cdot x + 1 = 9[/tex]

Now, let is clear [tex]x[/tex]:

[tex]2\cdot x = 8[/tex]

[tex]x = 4[/tex]

Nifal received $ 4 for washing the first car.

The earning for the second car is: ([tex]x = 4[/tex])

[tex]y = x +1[/tex]

[tex]y = 4 + 1[/tex]

[tex]y = 5[/tex]

Nifal received $ 5 for washing the second car.

4 and 5 have a sum of 9.

Answer:

if the radius and diameter of two circles is same/equal then those two circles are similar

Step-by-step explanation:

Answer:

if the radius and diameter of two circles is same/equal then those two circles are similar

Step-by-step explanation:

Answer:

it is a function

Step-by-step explanation:

Answer:

Since there is one value of y for every value of x in ( − 4, 5 ), ( 1, − 1 ), ( 2, − 2), this relation is a function.

The relation is a function.

Hope this helps (●'◡'●)

Answer:

x = 5.5 units

Step-by-step explanation:

Since, B is the midpoint of AC.

[tex] \therefore \: AB = BC \\ 14 = 2x + 3 \\ 14 - 3 = 2x \\ 11 = 2x \\ x = \frac{11}{2} \\ x = 5.5 \: units \\ [/tex]

Answer:

The interval over  which the cost is constant is from >0 to 15,000 gallons

The interval for which the the cost is increasing is from above 15,000 gallons

Step-by-step explanation:

For 15,000 gal or less the cost of the monthly water bill = $15.50

For over 15,000 gal, the cost of the monthly water bill = $15.50 plus $1 for each 1000 gal over 15,000 with any fraction of $1,000 charged at a fraction of $1

The interval for which the cost is constant is from 0 ≤ x ≤ 15,000 gal

The interval over which the const is increasing per 1000 gal over 15,000 gallons is from x > 15,000 gal.

Answer:

The interval in which the cost is constant is

[0,15000]

Step-by-step explanation:

The interval is increasing by [1500,∞]

Answer:

C, Yes; for any given number of hours,there is only one possible cost.

Step-by-step explanation:

Simple Function question, if there’s an X with the same number, it’s not a function. It wasn’t D since it’s justifying the range being the same number