What is the measure of angle x?

This is a convenience sample as it is based on accessibility and availability of visitors.

What is average ?

The average, also known as the mean, is a measure of central tendency that is commonly used to summarize a set of numerical data. It is calculated by adding all of the values in a dataset and then dividing by the number of values in the dataset.

This is an example of a convenience sample ,

A convenience sample is a type of sample where the researcher selects participants based on accessibility and availability, rather than using a random selection method. In this case, the librarian is only collecting data on visitors who are checking out books at her specific check-out station in the children's section of the library, which is a subset of the total population of visitors to the library. The data may not be representative of the entire population of visitors to the library, as it only includes data from visitors who are checking out books in the children's section of the library.

This is a convenience sample as it is based on accessibility and availability of visitors.

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The equation has B. No solution.

An equation is a  mathematical statement that is made up of two expressions connected by an equal sign.

here, given that,

1/4*(-16r-28)= - 4r - 7

-16r - 28 = -16r-28

this statement is not true.

so, The equation has B. No solution.

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The quadratic equation y = x² - 2x - 3 have ordered points at (0, -3), (2, -3), (-2, 5) and (4, 5)

An equation is an expression composed of variables and numbers linked together by mathematical operations.

Quadratic equation is a polynomial that have a degree of 2. The degree of a polynomial is the highest exponent of the variables.

Given that:

y = x² - 2x - 3

When x = 0; y = (0)² - 2(0) - 3 = -3

When x = 2; y = (2)² - 2(2) - 3 = -3

When x = -2; y = (-2)² - 2(-2) - 3 = 5

When x = 4; y = (4)² - 2(4) - 3 = 5

The equation y = x² - 2x - 3 is a quadratic equation.

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The measure of angle ∠WDY is 89° in problem 20.

Two rays (half-lines) that share an endpoint make up an angle. The rays serve as the angle's sides, occasionally serving as the angle's legs and occasionally serving as its arms, while the latter is referred to as the vertex of the angle.

Two angles are said to be congruent by this definition if either of their vertex and side coordinates can be rigidly moved to coincide with the other. The angle may be written as AOB or BOA if O is the vertex and A and B are the points on the two sides (and this for any selection of the two points A and B.)

Given that D is the common point of line segments DW, DX and DY

m∠WDX = 2x - 5

m∠XDY = 52

m∠WDY = 5x - 16

to find m∠WDY

m∠WDY = m∠XDY + m∠WDX

5x - 16 = 52 + 2x - 5

5x - 2x = 52 - 5  + 16

3x = 63

x = 63/3

x = 21

m∠WDY = 5(21) - 16

m∠WDY = 89

Thus, the measure of angle ∠WDY is 89° in problem 20.

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Answer:

(- 3, 2 )

Step-by-step explanation:

to find the start, do the reverse, that is move 1 unit to the right.

this means adding 1 to the x- coordinate

start = (- 4, 2 ) → (- 4 + 1, 2 ) → (- 3, 2 )

Answer:

Step-by-step explanation:

We are given that,

The surveyor is located 340 meters from one entrance at an angle of 58°.

The surveyor is located 193 meters from one entrance at an angle of 21°.

Let the length of the tunnel = x meters

Using the Law of Cosines,

[tex]x^{2} =(340)^{2}+(193)^{2}-(2)(340)(193)cos(21+58)\\x^{2} =115600+37249-131240cos(79)\\x^{2} =115600+37249-25041.77255\\x^{2} =127807.2274\\x=\sqrt{127807.2274} \\x=357.50 meters\\[/tex]

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The probability that he'll use both the bus and the train is 0.2222

What is probability and example?

Probability = the number of ways of achieving success. the total number of possible outcomes. For example, the probability of flipping a coin and it being heads is ½, because there is 1 way of getting a head and the total number of possible outcomes is 2 (a head or tail). We write P(heads) = ½ .

There are just two ways in which Justin use both the bus and the train on the same day:

1. He used bus in the morning and train in the evening

2. He used train in the morning and bus in the evening

Additionally, every day he has 9 possible ways to used the transportation, 3 in the morning multiply by 3 in the evening. This is:

       3         *         3           =  9

p= 0.222

So, the probability is calculate as a division between the possible ways in which he use both transportations and the total possible ways. This is:

p=0.222

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D. The retail price of the phone is given as follows: 42.

E. The percent reduction in the price to $31.50 is given as follows: 25%.

The prices and the percentages are obtained applying the proportions in the context of this problem.

The purchase price is given as follows:

$12.

The markup rate is given as follows:

250%.

Meaning that the retail price is of 100% + 250% = 350% of the purchase price, hence it's value is obtained as follows:

3.5 x 12 = $42.

The percentage reduction is given by the reduction in the price divided by the initial price and then multiplied by 100%.

The reduction from $42 to $31.50 is given as follows:

42 - 31.50 = $10.50.

Hence the percent reduction is given as follows:

10.5/42 x 100% = 25%.

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The average speed of the bus is 54.78 mph.

To find the average speed of the bus, we need to find the total distance traveled and the total time taken for the entire trip.

Distance traveled = 10 miles + 17 miles + 95 miles + 4 miles = 126 miles

To find the total time taken, we need to calculate the time taken for each segment of the trip and add them up.

Time taken for 10 miles at 25 mi/h = 10 miles / 25 mi/h = 0.4 hours

Time taken for 17 miles at 45 mi/h = 17 miles / 45 mi/h = 0.378 hours

Time taken for 95 miles at 80 mi/h = 95 miles / 80 mi/h = 1.1875 hours

Time taken for 4 miles at 12 mi/h = 4 miles / 12 mi/h = 0.333 hours

Total time taken = 0.4 hours + 0.378 hours + 1.1875 hours + 0.333 hours = 2.3 hours

Average speed = total distance / total time = 126 miles / 2.3 hours = 54.78 mph

So, the average speed of the bus is 54.78 mph.

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Therefore , the solution of the given problem of function comes out to be A(x) = 23.

The subject of mathematics includes quantities including their variations, equations and related structures, forms and their locations, and places where they can be found. The term "function" refers to the relationship between a group of inputs, of which each has an associated output. A  variable association between inputs and outcomes in which each input leads to a single, distinct result is known as a function. Each function is given a region and a require a small space, or scope.

Here,

As a result, h(x) = x2-10x+21 A(x) =y/x =-1 x 10 A(x)=?

A(x) = y/x =h(x-g)-h(x)/g

=> g = Xmax - Xmin

=> g = 10-(-1)

=> g = 10+1

=> g = 11.

A(x) =(x-11)

² - 10*(x − 11) + 21 − (x² - 10x+21) /11

=> A(x)= x²- 22x+121-10x + 110 + 21 - x² + 10x -21/11

=>A(x) =231 - 22x /11

=>A(x)= 11 * (21-2x)/11

A(x) = 21-2x.

x = Xmin => A(x) = 21-2 (−1)

=>A(x) = 21+ 2

=>A(x) = 23

Therefore , the solution of the given problem of function comes out to be A(x) = 23.

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airport administrators take a sample of airline baggage and record the number of bags that weigh more than 75 pounds. then In this situation of statistics , individual is the cases are the bags or each piece of baggage.

What is a case?

In statistics, the word case is used to refer to the individual from which data is collected. For example, in a study about students' performance, the cases are each of the students.

What is the case in this situation?

Considering the administrators will need to weight and record each bag, the cases are each piece of baggage.

A. Number of bags weighing more than 75 pounds.

B. Average weight of the bags.

C. Each piece of baggage.

D. The airport administrators.

Hence airport administrators take a sample of airline baggage and record the number of bags that weigh more than 75 pounds. then In this situation of statistics , individual is the cases are the bags or each piece of baggage.

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the tangent of the angle, which we can then use to calculate the angle in degrees. Therefore, angle = tan-1(6/13) = 65.2 degrees.

b. 65.2

To find the measure of the angle, we need to use the inverse tangent (tan-1) function.

angle = tan-1(6/13)

angle = 65.2

We need to use the inverse tangent (tan-1) function to calculate the measure of the angle. To do this, we need to divide the height of the pole (6 meters) by the length of the ribbon (13 meters). This will give us the tangent of the angle, which we can then use to calculate the angle in degrees. Therefore, angle = tan-1(6/13) = 65.2 degrees.

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If a hotel has 260 rooms, where the singles cost $35 and the doubles cost $60, then there are 64 single rooms and 196 double rooms.

This is a system of equations problem. Let x be the number of single rooms and y be the number of double rooms. We know that

as the total number of rooms is 260

x + y = 260

Also as the total sales for the single and double rooms is $14,000 where the singles cost $35 and the doubles cost $60

35x + 60y = 14,000

To solve for x and y, we can use either substitution or elimination method.

Using substitution:

x + y = 260

x = 260 - y

35(260 - y) + 60y = 14,000

9,100 - 35y + 60y = 14,000

25y = 4,900

y = 196

So there are 196 double rooms.

Therefore, x = 260 - y

x = 260 - 196

x = 64

So there are 64 single rooms

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Answer:

Two billion, seven hundred forty million, two hundred fifty-three thousand, five hundred thirty-five is the right answer...

Each side of the playground is 10[tex]\sqrt{2}[/tex] m.

We know that in a square,

                               d = [tex]\sqrt{2}[/tex] a

            where, d = diagonal of the square

                         a = side of the square

Now, according to the question the walkway forms a diagonal and is 20 meters long.

  So, d = 20 m

        a = ?

          d = [tex]\sqrt{2}[/tex] a

        20 =   [tex]\sqrt{2}[/tex] a

          a  =  20/ [tex]\sqrt{2}[/tex]

              =  [tex]\frac{10\sqrt{2}*\sqrt{2} }{\sqrt{2}}[/tex]

              = [tex]10\sqrt{2}[/tex]

Hence, the side of the playground is [tex]10\sqrt{2}[/tex] meters long.

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Answer:

13 times

Step-by-step explanation:

lol, I actually did this right now. I got 13 times for both coins being heads, 9 times for each coin being tales, and exactly 30 times both were uneven. I hope this helps :)

Answer:

yes because it's like multiplying my 1/2.

when you multiply a number with a fraction its the same as dividing.

Step-by-step explanation:

Example: 6/1 × 1/2 = 3

70 different divisions are possible when eight children are divided into two teams each containing 4 children to play a game against each other

so this is what's known as a combination. a combination is a group where the order does not matter. to solve a combination, you use this equation:

n! / (r! *(n-r)!)

n is the total number of objects being sorted (8)

r is the group you need to sort them into (4)

(i know it's 2 groups of 4 but if you solve this for 1 group, the other group is automatically made of the remaining kids)

definition of !:

a number with a ! means 1*2*3...*that number (so that number multiplied by every number smaller than it all the way to one)

so we put 8 and 4 in this equation:

8! / (4! *(8-4)!)

simplify:

8! / *(4! 4!)

multiply out:

(8*7*6*5*4*3*2*1) / (4*3*2*1 * 4*3*2*1)

and put that in your calculator

you will get 70 different divisions are possible

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Aubree's car used 1 gallon to travel 30 miles.

The car used 4 gallons to travel 120 miles. We need to calculate the distance car can travel with 1 gallon of gas.

By unitary method;

The distance car can travel = (120/4)*1 =30

Aubree's car used 1 gallon to travel 30 miles.

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On 1 gallon of gas, Aubree`s car can go 30 miles.

This is a question of the unitary method. The unitary method is a technique for solving a problem by first finding the value of a single unit, [by dividing] and then finding the necessary value by multiplying the single unit value.

Aubree`s car used 4 gallons of gas to travel 120 miles. So, to find the miles it travelled on 1 gallon of gas. We can simply just divide the total miles the car travelled by the total litres of gas it used.

Therefore, 120/4=30 miles.

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Midpoint of any line segment can be calculated using equal ratio which is given by ( x , y ) = [( mx₁ + mx₂ )/2m , ( my₁ + my₂ )/2m ].

As given in the question,

Let us consider two endpoints of the line segment be ( x₁ , y₁ ) and (x₂ , y₂ ).

Midpoint divides the line segment into equal ratio.

Line segment divided into equal ratio of m : m

Coordinates of the mid point be ( x , y ) is given by

( x , y ) =  [( mx₁ + mx₂ )/2m , ( my₁ + my₂ )/2m ]

Line segment divided into the ratio 1 : 1

Then midpoint is equal to

(x ,y ) = [ (x₁ + x₂ )/2 , (y₁ + y₂ )/2]

Therefore, the midpoint calculated with some definite ratio is given by                  

( x , y ) =  [( mx₁ + mx₂ )/2m , ( my₁ + my₂ )/2m ].

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No, dividing by 1/2 means dividing by one half, while dividing by 1 and 2 means dividing by one and two (separately). No, dividing by 1/2 means dividing by one half, while dividing by 1 and 2 means dividing the number into two separate parts and then dividing each part by 1 and 2 respectively.

No, dividing by 1/2 means dividing by one half, while dividing by 1 and 2 means dividing the number into two separate parts and then dividing each part by 1 and 2 respectively. For example, if we have the number 10, dividing by 1/2 would give us 5 (10/2), while dividing by 1 and 2 would give us 5 and 5 (10/1 = 10 and 10/2 = 5).

No, dividing by 1/2 means dividing by one half, while dividing by 1 and 2 means dividing by one and two (separately).

No, dividing by 1/2 means dividing by one half, while dividing by 1 and 2 means dividing the number into two separate parts and then dividing each part by 1 and 2 respectively.

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Answer: 10

Step-by-step explanation: I counted

The number of different angles formed at the vertex A is 10.

Angles are the figure formed by the intersection of two lines or rays by sharing a common point. This point is called the vertex of the angle.

Angles are usually measured in degrees or radians.

Given is a figure.

We have to calculate the number of angles formed at A.

The biggest angle is ∠BAG.

There are 3 other other angles starting from B to C, E and F through A.

There are 3 angles starting from C to E, F and G through A.

2 angles are starting from E to F and G through A.

There is 1 angle starting from F to G through A.

Total number of angles formed at A = 1 + 3 + 3 + 2 + 1 = 10

Hence the total number of angles formed at A is 10.

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Answer:

B.

Step-by-step explanation:

You need to find a common denominator.  In this case, 40.  Convert 2/5 to 16/40 and 3/8 to 15/40.  Add the numerators (16 + 15) together.  The denominator stays the same.

Check the picture below.

The solution for the system of equations:

2x + 3y = 0

-4x - y = 30

is y = 7 and x = -10.5

Here we want to solve the following system of equations:

2x + 3y = 0

-4x - y = 30

By combining the equations.

If we add two times the first equation and the second equation, we will get:

2*(2x + 3y) + (-4x - y) = 0 + 30

We can simplify that to get:

4x + 6y - 4x - y =  30

5y = 30

Now we can solve that for y.

y = 30/5

y = 7

Now to find the value of x, we can replace y by 7 in one of the equations of the system.

2x + 3*7 = 0

2x = -21

x = -21/2

x = -10.5

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The first and fourth functions agrees that have  y-intercepts have a difference of 3 and the slopes are both negative.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

Let us find the slope of first graph

m=-3+2/2=-1

-1=-1(-2)+b

-1=2+b

b=-3

The first function is y=-1x-3

Second function is y=4x-6

Third function is y=4x-1

The fourth function is y=-3x-3

Hence, the first and fourth functions agrees that have  y-intercepts have a difference of 3 and the slopes are both negative.

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The probability of drawing three green marble, with replacing them, is 61/100.

Given,

A bag contains four red marbles, six green marbles, eight yellow marbles, and two blue marbles.

We need to find the probability of drawing three green marble and replacing them.

A combination is used to select required items from a set where the order of selection does not matter.

It is given by:

n^Cr = n! / r! (n-r)!

Where n = the number of elements present in a set.

Find the number of each marble.

Red marbles - 4

Green marbles - 6

Yellow marbles - 8

Blue marbles - 2

Find the probability of drawing a green marble

P (G) = ^6C_1 / ^20C_1

         = (6!/1!)/(20!/19! 1!)

        = 720 / 20

P(G)= 36

Find the probability of drawing a yellow marble

P ( Y ) = ^8C_1 / ^20C_1

         = (8! /1! 7!) / (20! / 191 1!)

         = 8 / 20

        P ( Y ) = 2 / 5

Find the probability of drawing a blue marble

P ( B ) = ^2C_1 / ^20C_1

         = (2! / 1!) / (20! / 19! 1!)

         = 2 / 20

  P ( B )= 1/10

Find the probability of drawing a blue marble

P ( R ) = ^4C_1 / ^20C_1

         = (4! / 1!) / (20! / 19! 1!)

         = 24 / 20

P ( R ) =6/5

Find the probability of drawing a green marble, replacing it, then drawing a yellow marble

Both the probability is independent so,

P = P ( G ) X P ( Y )+P ( G ) X P ( R )+P ( G ) X P ( B )

 = 36 X 2 / 5+36 X 6/5+36 X1/10

P= 61/100

Thus the probability of drawing three green marble, and replacing them, is 61/100.

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