From the following tree find the probability that a randomly chosen person will get the flu

The complete verbal description for the symbolic rule would be :

To write the verbal description of a symbolic rule, you need to identify the mathematical relationship between the variables in the equation and express it in words.

Identify the variables in the equation. Identify the mathematical relationship between the variables. Express the mathematical relationship in words.

For instance, f (x ) = 3 x + 5 in words is the function f ( x ) adds multiplies the input by 3 and adds 5.

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The exterior angle of the triangle is 62°.

What is triangle?

A triangle is a form of polygon with three sides; the intersection of the two longest sides is known as the triangle's vertex. There is an angle created between two sides. One of the crucial elements of geometry is this.

Certain fundamental ideas, including the Pythagorean theorem and trigonometry, rely on the characteristics of triangles. The angles and sides of a triangle determine its kind.

Let us take the triangle as ABC.

Here [tex]m\angle C[/tex]= 180-(5x-3)° [Because straight line angle is 180°].

We know that sum of all angles in triangle is add upto 180° Then,

=> [tex]m\angle A+m\angle B+m\angle C[/tex]=180

=> 43°+3x°+180-5x+3=180°

=> -2x=180-180-43-3

=> -2x=-46

=> x=13°

Now exterior angle ,

=> 5x-3

=> 5*13-3

=> 65-3

=> 62°

Hence the exterior angle of the triangle is  62°.

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Michael can make fewer than 13 batches of cookies so that he has enough left to make muffins.

A subject of mathematics known as arithmetic operations deals with the study and application of numbers in all other areas of mathematics. Basic operations including addition, subtraction, multiplication, and division are included.

We often employ these fundamental mathematical processes in our daily lives. We employ mathematical operations for any situation when we must determine the annual budget or distribute things equitably to a lot of people.

Given that he has 30 cups of flour and has already used 4 thus,

30 - 4 = 26

Also, he has 26 cups of flour, and it takes two cups to each batch, so divide:

26/2=13

Hence, Michael can make fewer than 13 batches of cookies so that he has enough left to make muffins.

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The equation to determine how much money Harry had to begin with is m/2 +45= 127 and the value of m is $164

What is the solution to an equation?

In order to make the equation's equality true, the unknown variables must be given values as a solution. In other words, the definition of a solution is a value or set of values (one for each unknown) that, when used as a replacement for the unknowns, transforms the equation into equality.

m/2 +45= 127

Move 45 to the right

m/2= 127-45=82

m= 2(82)

m= $164

So, the equation to determine how much money Harry had to begin with is m/2 +45= 127 and the value of m is $164

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The true statement about ABC and DEF is that the triangles ABC and DEF are similar triangles

From the question, we have the following parameters that can be used in our computation:

Using the above as a guide, we have the following:

The above means that the triangles are similar triangles

Hence, the true statement about the triangles is that they are similar

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Answer:

Step-by-step explanation:

No, the most popular class for members in the sample is not guaranteed to be the most popular class for all members. This is because the sample may not be representative of the entire population of members at the fitness center.

The sample may be biased, meaning it does not accurately represent the entire population. For example, the sample may include mostly young adults who prefer high-intensity workouts, while the overall population may have a more diverse age range and preferences for different types of classes.

Additionally, the sample size may not be large enough to accurately represent the entire population. A small sample size may not provide enough data to make accurate predictions about the entire population.

Therefore, while a survey of a sample of members can provide useful information about the preferences of those surveyed, it cannot guarantee that the most popular class for the sample will be the most popular class for all members of the fitness center.

Answer:

x = 3

y = -5

Step-by-step explanation:

       4x + y = 7 -------------------(I)

       5x - y = 20 -----------------(II)

Add both the equations. Now, y will be eliminated, and we can find the value of 'x'.

       (I)           4x + y = 7

      (II)           5x - y = 20       {Add the equations}

                    9x       = 27

Divide both sides by 9,

                            x = 27 ÷ 9

                            [tex]\boxed{\bf x = 3}[/tex]

Now, Plugin the value of 'x' in equation (I)

          4*3 + y = 7

           12 +  y = 7

Subtract 12 from both sides,

                    y = 7 - 12

                    [tex]\boxed{\bf y = -5}[/tex]

Answer:

The distance covered is 60 km

Step-by-step explanation:

Given :

Time used = 3 hours

Speed = 20 km / hr

To find :

Distance covered

Solution:

Distance = Speed × Time

Distance = 20 × 3

= 60 km

Therefore the distance is 60 km.

The value of the slope in this situation is 4.40

In this situation, the cost C of joining the tennis club is a function of the number of years t, represented by the equation:

C(t) = 4.40t + 32.50

The slope of this function represents the rate of change of the cost with respect to time,

or the amount by which the cost increases for each additional year of membership.

The slope of the function is simply the coefficient of t, which is 4.40.

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Answer:

Step-by-step explanation:

[tex]\tt 16+ 5d = 9d[/tex]

Subtract 5d from both sides :-

[tex]\tt 16=9d-5d[/tex]

Simplify :-

[tex]\tt 16=4d[/tex]

Divide both sides by 4 :-

[tex]\tt \cfrac{16}{4} =\cfrac{4d}{4}[/tex]

Simplify :-

[tex]\tt d=4[/tex]

_______________________

Hope this helps! :)

Answer: d=4

Step-by-step explanation:

you need to move the two variable with d on one side and the number without d to the other. When you do so you get

16=4d

Because you need to subtract the 5 d from the 9d then to isolate d you need to divide the four by itself and because what you do to one side you have to do to the other you also have to divide the 16 by 4

Which is how you get

D=4

I hope this helps!!

The correct relationship between temperature (T) and internal energy (U) is,

⇒ T ∝ U

Any relationship that is always in the same ratio and quantity which vary directly with each other is called the proportional.

Given that;

To find the correct relationship between temperature and internal energy.

Now,

We know that;

Temperature and internal energy are proportional.

And, the internal energy doubles the temperature doubles. Similarly, if the temperature does not change, the internal energy does not change.

Hence, The correct relationship between temperature (T) and internal energy (U) is,

⇒ T ∝ U

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The full proof of the given equation is x=-3 in step by step procedure.

A linear equation in mathematics is an equation in which the highest degree of the variables is one. The general form of a linear equation in one variable is: mx + n = 0

where m and n are constants, and x is the variable.

To find the solution of a linear equation we need to find the values of the variables that satisfy the equation. In the case of a linear equation in one variable, we can solve for the variable by isolating it on one side of the equation.

The given equation is:

Statement                          Reason

-5 (x + 8) = -25                   Given

-5(x+8) ÷ -5 = -25 ÷ -5       Both side divide by -5

x + 8 = 5                             Simplify

x + 8 - 8 = 5 - 8                  Both side subtract by -8

x = -3                                  Simplify

So the solution to the equation is x = -3. This means that if we substitute -3 for x in the given equation, we get a true statement:

-5 (-3 + 8) = -25

-5×5 = -25

-25 = -25

Therefore, x = -3 is the solution to the main equation.

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Answer:

Step-by-step explanation:

We can use trigonometry to solve this problem. Let's draw a diagram:

       |

       |

       |

       |/

       |\

       | \

   5ft 6in

The person's height is the side opposite the angle of elevation, and the length of the shadow is the side adjacent to the angle of elevation. We want to find the length of the shadow, so we need to use the tangent function:

tan(21.5°) = opposite/adjacent

We can substitute in the person's height for the opposite side:

tan(21.5°) = 5.5/adjacent

Now we can solve for the length of the shadow:

adjacent = 5.5/tan(21.5°)

Using a calculator, we get:

adjacent ≈ 15.38

Therefore, the length of the shadow is approximately 15.38 feet.

Answer:

Length = 16 feet, Width = 20 feet

Step-by-step explanation:

Area of a rectangle is L x W where
L = length
W = width

We are given

L = (x + 10) feet
W= (x + 14) feet

area = 320 square feet

Using the equation for area as L x W

(x + 10) (x + 14) = 320

(x + 10) (x + 14)  can be evaluated using the FOIL method
x² + 14x + 10x + 10 x 14

= x² + 24x  +140

→  x² + 24x  + 140 = 320

→  x² + 24x + 140 - 320 = 0
→  x² + 24x - 180 = 0

This is a quadratic equation which can be solved using either the quadratic formula or factoring

Using factoring:
x² + 24x - 180 :

→  x² - 6x + 30x -180
→  x(x - 6) + 30(x - 6)

Factoring out common expression (x-6) we get

x² + 24x - 180 : (x - 6) (x + 30)

And knowing the right side is 0 we get

(x - 6) ( x + 30) = 0

This means either x - 6 = 0 ==> x = 6

or
x + 30 = 0 giving x = -30

ignoring the negative solution we get

x = 6

Plugging this back into the expressions for L and W
L = x + 10 = 6 + 10 = 16

W = x + 14 = 6 + 14 = 20

Therefore length = 16 feet, width = 20 feet

Answer:

B

Step-by-step explanation:

B is answer because we can divided it without decimal

Answer:

C or the third answer

Step-by-step explanation:

The domain is all the possible x-values of the function. In this case, we have 5 points, each with different x-values. These x-values make up the domain of the function (or poi nts)

so the points are:

(-4,4)

(-2,0)

(0,-3)

(3,1)

(5,-2)

Since the domain is just the x-values, the domain is (-4,-2,0,3,5)

and that is answer C

the solution to the equation 3/5(4x + 1) = 3(2 - 4) + 9 is x = 2.4.

3/5(4x + 1) = 3(2 - 4) + 9

12/5x + 3/5 = -6 + 9

Simplify the right-hand side: 12/5x + 3/5 = 3

To find the x term, subtract 3/5 from both sides:

12/5x = 3 - 3/5

Simplify the right-hand side:

12/5x = 2 2/5

Divide both sides by 12/5, multiplied by the reciprocal:

x = (2 2/5) / (12/5)

Simplify the right-hand side:

x = (12/5) * (12/5) = 2.4

A mathematical definition of an equation is a claim that two expressions are equal when they are joined by the equals sign ("="). For illustration, 2x - 5 = 13.

Here,

5 and 13 are expressions for 2x.

The symbol "=" joins these two expressions.

Two expressions are combined in an equation using an equal symbol ("="). The "left-hand side" and "right-hand side" of the equation are the two expressions on either side of the equals sign. Typically, we consider an equation's right side to be zero. As we can balance this by deducting the right-side expression from both sides' expressions, this won't reduce the generality.

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Answer: 1. A= 4 , B=3

             2. X=3, Y= 1

Step-by-step explanation:

1.  Given: 5A-2B=14 - (a)

                2A+2B=14 - (b)

    To Find: A=? , B=?

    Solution : Multiply  Equation (a) by 2 and Equation (b) by 5 . Then we have  ,

               10A-4B=28 -(c)

                10A+10B=70-(d)

Now subtract Equation (d) by Equation (c), We get

               10A+10B=70

            -( 10A-04B=28)

                 -       +     -

              ___________

              0A+14B=42

             ___________

  We get ,

   B= 3

  Put the value of B in Equation (a),

  5A-2(3)=14

   5A-6 = 14

   5A = 20

    A= 4

2. Given : X+Y=4 - (a)

                 2X-Y=5 - (b)

  To Find: X=?, Y=?

  Solution:  Multiply Equation (a) by 2 , then we have

               2X+2Y=8-(c)

Now subtract  Equation (c) by (b) ,

              2X+2Y=8

            -(2X-1Y)=5

               -     +    -

          __________

             0X+3Y=3

          __________

Now , we have

           3Y=3

             Y=1

Put the value of Y in Equation (a),

             X+1=4

             X=3

Answer :      1. A= 4 , B=3

                    2. X=3, Y= 1

The value for average daily credit sales is $2,875 per day

Accounts receivable is an asset account that represents the money owed to a company by its customers for the sale of goods or services on credit.

The formula for accounts receivable turnover is:

Accounts Receivable Turnover = Net Credit Sales / Average Accounts Receivable

We can rearrange this formula to solve for Average Daily Credit Sales:

Average Daily Credit Sales = Net Credit Sales / 360 days

First, let's solve for Net Credit Sales using the accounts receivable turnover:

Accounts Receivable Turnover = Net Credit Sales / Average Accounts Receivable

9 = Net Credit Sales / 115,000

Net Credit Sales = 9 * 115,000

Net Credit Sales = 1,035,000

Now we can solve for Average Daily Credit Sales:

Average Daily Credit Sales = Net Credit Sales / 360 days

Average Daily Credit Sales = 1,035,000 / 360

Average Daily Credit Sales = 2,875

Therefore, the value for average daily credit sales is $2,875 per day

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The probability that a randomly chosen radio station in this city is an alternative station is 3/10.

The probability of an event is a number that indicates how likely the event is to occur. It is expressed as a number in the range from 0 and 1, or, using percentage notation, in the range from 0% to 100%. The more likely it is that the event will occur, the higher its probability.

Given that, a city has 20 radio stations, including 6 alternative stations. we need to find the probability that a randomly chosen radio station in this city is an alternative station,

Probability of an event P(E) = (Number of favorable outcomes) ÷ (Sample space).

Favorable outcomes =  6 alternative stations

Sample space = 20 radio stations

Therefore,

P(getting a alternative station) = 6/20 =3/10

Hence, the probability that a randomly chosen radio station in this city is an alternative station is 3/10.

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A bank journal activity is a record of all financial transactions and activity that takes place within a bank or financial institution.

Financial refers to the management of money and other assets. It includes activities such as budgeting, investing, banking, insurance, taxes, and retirement planning. Financial activities are designed to help individuals, businesses, and governments earn, save, and grow money. Financial planning involves setting goals and developing strategies to achieve those goals.
It provides an important source of information, allowing for accurate tracking and analysis of financial activity within the bank.
When selecting a bank journal activity, it is important to consider the type of transactions that will be recorded in the journal. Different types of transactions require different types of information to be tracked, including credit/debit amounts, dates, customer information, and more. Additionally, the journal should be able to easily categorize and store the data, so that it can be easily retrieved and analyzed. The journal should also be secure, with access restricted to the appropriate personnel. Finally, the journal should be able to provide real-time updates, allowing for quick and accurate reporting and analysis.

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A bank jοurnal activity is a recοrd οf all financial transactiοns and activity that takes place within a bank οr financial institutiοn.

Financial refers tο the management οf mοney and οther assets. It includes activities such as budgeting, investing, banking, insurance, taxes, and retirement planning. Financial activities are designed tο help individuals, businesses, and gοvernments earn, save, and grοw mοney. Financial planning invοlves setting gοals and develοping strategies tο achieve thοse gοals.

It prοvides an impοrtant sοurce οf infοrmatiοn, allοwing fοr accurate tracking and analysis οf financial activity within the bank.

When selecting a bank jοurnal activity, it is impοrtant tο cοnsider the type οf transactiοns that will be recοrded in the jοurnal. Different types οf transactiοns require different types οf infοrmatiοn tο be tracked, including credit/debit amοunts, dates, custοmer infοrmatiοn, and mοre. Additiοnally, the jοurnal shοuld be able tο easily categοrize and stοre the data, sο that it can be easily retrieved and analyzed. The jοurnal shοuld alsο be secure, with access restricted tο the apprοpriate persοnnel. Finally, the jοurnal shοuld be able tο prοvide real-time updates, allοwing fοr quick and accurate repοrting and analysis.

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Complete question:

How to selecting a bank journal activity?

Answer:

Let's solve this inequality step by step:

4x + 4x > -2x + 34

Simplifying the left-hand side:

8x > -2x + 34

Adding 2x to both sides:

10x > 34

Dividing by 10:

x > 3.4

Now let's solve the second inequality:

3(4x + 4) - 9 > 15x + 15

Distributing the 3:

12x + 12 - 9 > 15x + 15

Simplifying:

12x + 3 > 15x + 15

Subtracting 12x from both sides:

3 > 3x + 15

Subtracting 15 from both sides:

-12 > 3x

Dividing by 3 (and flipping the inequality sign, since we are dividing by a negative number):

x < -4

Therefore, the solution to the system of inequalities is:

x < -4 or x > 3.4.

Step-by-step explanation:

Answer:

The answer to the question is 19

Because it says 3 times more you just need to count 3 more numbers so 19 is the answer.

The proportion to the left of x = 19.0 is 8.08%, to the right of x=25.5 is 15.87%, between the mean and x =19.0 is 41.92%, to the left of x=25.5 is 84.13%, to the right of x =19.0 is 19.0.

What is statistics ?

Statistics is a branch of mathematics that deals with the collection, analysis, interpretation, presentation, and organization of data. It involves the use of mathematical methods and techniques to extract meaningful insights and patterns from data and to make informed decisions based on the results. Statistics is widely used in various fields, including science, engineering, business, social sciences, and government, to help make predictions, test hypotheses, and inform decision-making processes.

To solve these problems, we need to use the standard normal distribution, which is a normal distribution with a mean of 0 and a standard deviation of 1. We can transform our original normal distribution into a standard normal distribution using the formula:

z = (x - μ) / σ

where z is the z-score (the number of standard deviations from the mean), x is the raw score, μ is the mean of the distribution, and σ is the standard deviation of the distribution.

To the left of x = 19.0:

First, we need to find the z-score corresponding to x = 19.0:

z = (x - μ) / σ = (19.0 - 23) / 2.5 = -1.4

We can then look up the proportion to the left of z = -1.4 in a standard normal distribution table or use a calculator to find that it is approximately 0.0808, or 8.08%.

Therefore, the proportion to the left of x = 19.0 in our original normal distribution is also approximately 0.0808, or 8.08%.

To the right of x = 25.5:

Using the same formula as above, we find the z-score corresponding to x = 25.5:

z = (x - μ) / σ = (25.5 - 23) / 2.5 = 1.0

We can then look up the proportion to the right of z = 1.0 in a standard normal distribution table or use a calculator to find that it is approximately 0.1587, or 15.87%.

Therefore, the proportion to the right of x = 25.5 in our original normal distribution is also approximately 0.1587, or 15.87%.

Between the mean and x = 19.0:

We need to find the z-scores corresponding to the mean and x = 19.0:

z_mean = (μ - μ) / σ = 0

z_19 = (19.0 - 23) / 2.5 = -1.4

The proportion between the mean and x = 19.0 is then equal to the difference between the proportion to the left of x = 19.0 and the proportion to the left of the mean:

P(mean < x < 19.0) = P(z_mean < z < z_19) = P(z < -1.4) - P(z < 0)

= 0.0808 - 0.5

= 0.4192, or 41.92%

Therefore, the proportion between the mean and x = 19.0 in our original normal distribution is approximately 0.4192, or 41.92%.

To the left of x = 25.5:

Using the same formula as in (1), we find the z-score corresponding to x = 25.5:

z = (x - μ) / σ = (25.5 - 23) / 2.5 = 1.0

We can then look up the proportion to the left of z = 1.0 in a standard normal distribution table or use a calculator to find that it is approximately 0.8413, or 84.13%.

Therefore, the proportion to the left of x = 25.5 in our original normal distribution is also approximately 0.8413, or 84.13%.

To the right of x = 19.0:

Using the same formula as in (1), we find the z-score corresponding to x = 19.0

Therefore, the proportion to the left of x = 19.0 is 8.08%, to the right of x=25.5 is 15.87%, between the mean and x =19.0 is 41.92%, to the left of x=25.5 is 84.13%, to the right of x =19.0 is 19.0.

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Answer:

16.178m

Step-by-step explanation:

Central angle (θ)

128deg

Radius (r)

9m

Diameter

18m

Sector area (A)

90.4779m²

Chord length (c)

16.178m

The expressions with the greater products is 7/8 * 9/10

The complete question is added as an attachment

From the question, we have the following parameters that can be used in our computation:

4/5 * 5/6 = 4/6 --- false

7/8 * 9/10 = 63/80 --- true

1/3 * 2/3 = 2/9 --- false

3/4 * 7/12 = 7/12 --- false

6/7 * 7/9 = 6/9 --- false

Hence, the expression is 7/8 * 9/10

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Answer:B

Step-by-step explanation:

30/5=42/x

6=42/x

x=7

After answering the given query, we can state that the solution of trigonometry [tex]cos y = cos x sin x cos y + cos^2 x sin y + sin x cos x cos y - sin^2 x sin y[/tex]

The area of mathematics called trigonometry examines how triangular side lengths and slopes relate to one another. The subject first came to light in the Hellenistic period, roughly in the third century BC, as a result of the use of math in astronomical studies. The area of algebra known as precise methods deals with some trigonometric functions and possible calculations using them. There are six common trigonometric formulas in trigonometry. They go by the titles sine, cosine, tangent, cotangent, secant, as well as cosecant, respectively. (csc). The study of triangle real estate, especially those of right triangles, is known as trigonometry. Therefore, studying geometry entails learning about the characteristics of all geometric forms.

sin(x - y) = sin x cos y - cos x sin y

And the sine of the sum of two angles:

sin(x + y) = sin x cos y + cos x sin y

sin(x-y)/sin(x+y) = (sin x cos y - cos x sin y)/(sin x cos y + cos x sin y)

(sin x cos y - cos x sin y) = -sin y cos x + cos y sin x

(sin x cos y + cos x sin y) = sin x cos y (1 + tan x tan y)

(sin(x-y)/sin(x+y)) = (-sin y cos x + cos y sin x) / (sin x cos y (1 + tan x tan y))

(tan x - tan y)/(tan x + tan y) = (tan x + tan y - 2 tan y)/(tan x + tan y) = 1 - 2 tan y/(tan x + tan y)

(-sin y cos x + cos y sin x) / (sin x cos y (1 + tan x tan y)) = 1 - 2 tan y/(tan x + tan y)

(-sin y cos x + cos y sin x) = (sin x cos y (1 + tan x tan y))(1 - 2 tan y/(tan x + tan y))

(-sin y cos x + cos y sin x) = sin x cos y - 2 tan x sin y + 2 tan y cos x

sin x cos y (-sin y + cos y) = sin x cos y (1 - 2 tan y tan x)

-sin y + cos y = 1 - 2 tan x tan y

cos y = 1 - 2 tan x tan y + sin y

cos y = sin (x + y) - 2 tan x tan y

cos y = cos(x - (x + y)) = cos x cos(x + y) + sin x sin(x + y) = cos x (sin x cos y + cos x sin y) + sin x (cos x cos y - sin x sin y)

[tex]cos y = cos x sin x cos y + cos^2 x sin y + sin x cos x cos y - sin^2 x sin y[/tex]

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Answer:

x=20

Step-by-step explanation:

15/6=2.5

8 times 2.5=20

To get from 6 to 15 multiply by 2.5. you must do the same to get from 8 to x.

6/15=8/x or cross multiply

15x8=6x

120=6x

20=x

The variance of the given data set is 36.88.

What is a variance?

The variance is a measure of how spread out a set of data is. It measures how far each number in the set is from the mean.

To compute the variance, follow these steps:

Find the mean (average) of the data set by adding up all the numbers and dividing by the total number of numbers:

mean = (10.7 + 20.7 + 11.5 + 15.4 + 19.3 + 24.9 + 30.7 + 15.4 + 18.2 + 16.9) / 10 = 18.8

Subtract the mean from each number in the data set and square the result:

[tex](10.7 - 18.8)^2 = 68.89[/tex]

[tex](20.7 - 18.8)^2 = 3.61[/tex]

[tex](11.5 - 18.8)^2 = 53.29[/tex]

[tex](15.4 - 18.8)^2 = 11.56[/tex]

[tex](19.3 - 18.8)^2 = 0.25[/tex]

[tex](24.9 - 18.8)^2 = 37.21[/tex]

[tex](30.7 - 18.8)^2 = 141.61[/tex]

[tex](15.4 - 18.8)^2 = 11.56[/tex]

[tex](18.2 - 18.8)^2 = 0.36[/tex]

[tex](16.9 - 18.8)^2 = 3.61[/tex]

Add up all the squared differences from step 2:

68.89 + 3.61 + 53.29 + 11.56 + 0.25 + 37.21 + 141.61 + 11.56 + 0.36 + 3.61 = 331.95

Divide the result from step 3 by the total number of numbers in the data set minus 1:

variance = 331.95 / (10 - 1) = 36.88

Therefore, the variance of the given data set is 36.88.

To learn more about the variance, visit:

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