The chance of contracting strep throat when coming into contact with an infected person is estimated as 0.15. Suppose the four children of a family come into contact with an infected person. Conduct a simulation to answer the following questions. Use the random number table below and conduct 20 trials. Clearly identify each trial on the table.

a.) Using your results estimate the average number of children who will get the disease

b.) What is the probability of two of the children getting the disease?

c.) What is the probability of at least two of the children getting the disease?

Measuring and recording the length of each side of a parallelogram means using a measuring tool, such as a ruler or a tape measure, to determine the length of each of the four sides of the parallelogram and then recording that measurement.

The measurement should be noted with the appropriate unit of measurement (inches, centimeters, etc.) and recorded in a way that is easy to understand and reference later.

To measure and record the length of each side of a parallelogram, the following steps can be taken:

It is important to note that a parallelogram has opposite sides of equal length and opposite angles of equal measure. Therefore, after measuring and recording the length of two sides, you can use this property to measure the other sides without measuring them again.

 Learn more about parallelogram here: brainly.com/question/20526916

#SPJ4

Answer:

Step-by-step explanation:

1 + 2 + 4 = 7

7x = 1400

x = 1400/2 = 200

1(200) + 2(200) + 4(200) = 1400

Sand:  200 kg

Gravel:  400 kg

Cement:  800 kg

You would need 200 kg of sand, 400 kg of gravel, and 800 kg of cement to make 1400 kg of dry concrete using the ratio 1:2:4,

Let's assign variables to represent the quantities:

Let x be the quantity of sand.

Let y be the quantity of gravel.

Let z be the quantity of cement.

According to the given ratio, the quantities will be as follows:

Sand: x

Gravel: 2x (twice the amount of sand)

Cement: 4x (four times the amount of sand)

The total weight of the dry concrete is the sum of the weights of the individual components:

x + 2x + 4x = 1400 kg

Combining like terms:

7x = 1400 kg

Dividing both sides of the equation by 7:

x = 200 kg

Now that we know the quantity of sand, we can find the quantities of gravel and cement:

Gravel: 2x = 2 × 200 kg = 400 kg

Cement: 4x = 4 × 200 kg = 800 kg

Therefore, you would need 200 kg of sand, 400 kg of gravel, and 800 kg of cement.

Learn more about the Ratio here:

brainly.com/question/1504221

#SPJ2

Answer: 14 in^2

Step-by-step explanation: The base b is 3 inches greater than the height, the height is 4 inches so to find b we simply do 4+3=b.

This gives us 7=b.

The area of a triangle is defined as A=1/2bh or half times base times height. Since we know both our height and base, we can plug in our numbers.

A=1/2*7*4 to get 14.

So A= 14 in^2

If a man works for 8 hours a day, he can finish a job in 12 days. to complete the work in 10 days the man must work for 15 hours

For the rate problem, the proportion of the work completed per hour is taken and used to compare for other conditions

Working 8 hours a day, he can finish a job in 12 days. the rate of work is

rate of work = 12 days / 8 hours

= 3/2

for 10 days the man will work

= 3/2 * 10

= 15

hence the man needs to work for 15 hours

Learn more about rate of work at:

https://brainly.com/question/14464103

#SPJ1

the automobile's average speed in  40 miles per hour.

What is speed?

The speed of an object, also known as v in common parlance and kinematics, is the size of the change in position per unit of time or the size of the change in position over time; as such, it is a scalar quantity. The average speed of an object in a given period of time is equal to the distance traveled by the object divided by the length of the intervalthe instantaneous speed is the upper limit of the average speed as the length of Velocity and speed are different concepts.

formula d=rt, d represents the distance in miles , r represents average speed in miles per hour and t represents time in hours .

given

distance=60m

and time=1.5hr

average speed= 60/1.5 = 40 miles per hour.

Hence, the automobile's average speed in  40 miles per hour.

Learn more about average speed, by the following link.

brainly.com/question/4931057

#SPJ1

So, the equation |x-10|=17 can be transformed into the following two linear equations:

x = 27

x = -7

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, separated by the 'equal' sign.

The non-negative value of a real number x, regardless of its sign, is its absolute value (or modulus), | x |. For instance, 5 has an absolute value of 5, and 5 has a value of 5. One way to think about a number's absolute value is its distance from zero on the real number line.

To transform the equation |x-10| = 17 into two linear equations, we need to consider the two possible cases for the absolute value: x-10 = 17 and x-10 = -17.

When x-10 = 17, x = 27

When x-10 = -17, x = -7

So, the equation |x-10|=17 can be transformed into the following two linear equations:

x = 27

x = -7

To learn more about linear equations visit:

https://brainly.com/question/11897796

#SPJ1

Answer:

x = 64

Step-by-step explanation:

The given polygon is a quadrilateral — a closed figure with 4 sides. We know that the measures of the interior angles of a quadrilateral sum to 360º (e.g., the measures of a rectangle's four angles: 90º + 90º + 90º + 90º = 360º). Using this information, we can construct an equation with xº and the rest of the angle measures given in the diagram.

xº + 100º + 130º + 66º = 360º

To solve this equation, we can subtract (100 + 130 + 66)º from both sides.

xº = 360º - (100 + 130 + 66)º

xº = 360º - 296º

xº = 64º

x = 64

Answer:

10

Step-by-step explanation:

Because the triangles are similar, we can say:

[tex]\frac{35}{14} = \frac{40}{16}=\frac{25}{x}[/tex] ⇒ [tex]x= \frac{16*25}{40}[/tex] ⇒ [tex]x = 10[/tex]

The value of a is 1 and c is 16. The equation is x^2+8x+16=0. The solution is obtained using discriminant.

What is discriminant?

In mathematics, a polynomial's discriminant is a function of the polynomial's coefficients. It is useful for figuring out a polynomial equation's sort of solutions without actually finding them. In other words, it distinguishes between the equation's solutions (as equal and unequal; real and nonreal), giving rise to the term "discriminant." . Any real number may represent the discriminant's value (i.e., either positive, negative, or 0).

We know that ax² + 8x + c = 0 has one real solution,

Therefore, D=0

So, b^2-4ac=0

⇒ 64-4ac=0

⇒ ac=16

So, when a=1, c=16.

Hence, the value of a is 1 and c is 16. The equation is x^2+8x+16=0.

Learn more about discriminant from the given link

https://brainly.com/question/24730520

#SPJ1

Since, there are multiple questions so the question I answered is attached below.

We can manually convert a scatter plot to a four-quadrant graph. For this conversion we shall have to follow the steps noted below :

1) At first, we shall have to delete the trend line from our scatter diagram.

2) Then, we shall have to reformat our X-axis.

3) After that, we shall have to reformat our Y axis.

4) At last, once we have updated both the X and Y axis values, we should have an XY Scatter Diagram with Four Quadrants.

The goal of the XY Scatter chart with quadrants is to create a chart in Excel that plots data points on a percentage scale for X and Y and also shows quadrants with a different scale. Instead of the normal 0 to 100, the X and Y axis run from 100% to 0%.

Read more about Scatter plots :

https://brainly.com/question/8161247

#SPJ4

Answer:

No Solution

Step-by-step explanation:

The lines are parallel to one another, meaning in no solution!

Answer:

4

Step-by-step explanation:

36 ÷ 9= 4

you just want to take the 36 glasses and put them into nine rows of four

Answer:

  (4, 7)

Step-by-step explanation:

You want the nearest integer solution to the system of equations ...

The graph shows the point with integer coordinates that is nearest the solution to these equations is (4, 7).

The line intersect closest to the integer coordinates (4, 7).

<95141404393>

Using algebra, the inverse of the function is [tex]f^{-1} (x) = \sqrt{y+4} +1[/tex].

An inverse in mathematics is a function that "undoes" another function. Therefore, if f (x) generates y, which is subsequently transformed into x by applying y to the inverse of f(x).

Given that [tex]f(x) = (x-1)^{2} -4[/tex].

Let us consider f(x) = y.

[tex]y = (x-1)^{2} -4[/tex]

Add 4 on both sides of the equation.

[tex]y+4= (x-1)^2 -4 +4\\y + 4 =(x-1)^2[/tex]

Square root on both sides of the equation.

[tex]\sqrt{y+4} = \sqrt{(x-1)^2}\\\\ \sqrt{y+4} = x-1[/tex]

Add 1 to both sides of the equation.

[tex]\sqrt{y + 4} +1 =x -1 +1\\\\\sqrt{y + 4} +1 =x[/tex]

Hence the value of [tex]f^{-1} (x) = \sqrt{(y+4)} +1[/tex].

Learn more about inverse function here:

https://brainly.com/question/17872426

#SPJ1

Answer: 3.25 (Add on 0.25 each week)

Step-by-step explanation:

3 + 1/4 = 13/4 = 3 1/4 = 3.25

Check the picture below.

so for the equation y = 40 + 20x, what's an appropriate domain? or namely, what could be some valid values for "x"?

well, Jessica is going to put in 20 bucks only for 12 weeks, so whatever "x" is going to be, is must be from 0 to 12, or in interval notation [0 , 12].

Persons who regularly interact with the system as part of their jobs are called operational stakeholders

A person who has an interest in the project, is connected to it, or is positively or negatively impacted by it is referred to as a stakeholder. Operation, on the other hand, refers to any ongoing process or action, such as hospital management or any manufacturing activity.

Operational stakeholders must be involved, their needs should be recorded in the stakeholder register, and the risk management plan should take into account any influence they may have, whether good or negative.

Some Instances of operational stakeholders (based on the business) are: Operators of manufacturing facilities, managers of production lines, instructors, help desk personnel, customer service representatives, salesperson, etc.

To know more about operational management here:

https://brainly.com/question/16289727#

#SPJ4

The solution of the algebraic expression (8h-1)-(h+ 3) is -25.

Given:

The given expression in the question is:

(8h-1)-(h+ 3); Value of h = -3​

Putting the value of h in the expression

8(-3)-1 - ((-3)+3)

= -24-1 -0

= -25

To know more about Algebraic Expressions visit:

https://brainly.com/question/12045953

#SPJ1

Answer:

3/s

Step-by-step explanation:

Answer:

3/s

Step-by-step explanation:

i had the same question our teacher went over it

Considering the figure, the equation AB rests is on

A linear function consists of functions where the variables has exponents of 1.

The graph of linear functions is a straight line graph and the relationship is expressed in the form.

y = mx + c

The slope is represented as m, The slope by definition is the ratio of change of the output values to the change in the input values. The slope can also be called the rate of change

When a line slopes from top left to bottom right, the line is said to have a negative slope. This coincides with the line in the figure hence the line will have a negative slope.

There is not enough information to get the y intercept, hence the line will be

y = mx

where m = -6/9 = -2/3

therefore y = -2/3 x

Learn more about slope of linear functions at:

https://brainly.com/question/20277632

#SPJ1

Answer: (5,1)

Step-by-step explanation:

Substitution is where you "plug in" an equation equal to a variable to another equation that contains that variable.

Here you would subtract x from the second equation, leaving you with

-5y = -x.

You can multiply both sides by -1 to get 5y = x

Then, because 5y is equal to x, you plug in 5y where it says x on the first equation.

Now you have 4(5y) + 3y = 23. That simplifies to 20y + 3y = 23, and then 23y = 23

Divide and you get "y = 1"

Now you that you know what y is equal to, you plug in the value for y to either equation and solve for x to find the (x,y) coordinates.

4x + 3(1) = 23

4x + 3 = 23

4x = 20

x = 5

Final answer is (5,1)

Answer:

Point Form:

(5,1)

Equation Form:

x= 5,y= 1

Step-by-step explanation:

:)

2v+3b=214 and 3v+4b=302 are a linear system to model the situation

Two or more expressions with an Equal sign is called as Equation.

Given that R took two high schools to the Atlanta Hawks Game.

Let v represent the van and b represents the buses.

B took 2 vans and 3 buses with 214 students

2v+3b=214

W took 3 vans and 4 buses with 302 students

3v+4b=302

So the two linear equations are 2v+3b=214 and 3v+4b=302

Hence, 2v+3b=214 and 3v+4b=302 are a linear system to model the situation

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ1

After solving this expression into simplest form, we get : [tex]\frac{-4x^{}+ 9 }{2x(x-2)}[/tex]

So, Option (B) is the correct answer.

How to simplify expression into simplest form ?

To simplify a given fractional expression, first convert any mixed number in the expression to improper fraction before carrying out the operation that is involved in the expression

The steps to solve this expression into simplest form are shown below:

[tex]=\frac{1}{2x^{2}-4x } -\frac{2}{x}[/tex]

[tex]=\frac{1}{2x(x-2)}-\frac{2}{x}[/tex]

[tex]=\frac{1-2[2(x-2)]}{2x(x-2)}[/tex]

[tex]=\frac{1-4x+8}{2x(x-2)}[/tex]

[tex]=\frac{-4x + 9}{2x(x-2)}[/tex]

Learn more about fraction:

brainly.com/question/78672

For WXYZ to be a parallelogram, the slope of ZY must be -1/4

parallel lines are coplanar infinite straight lines that do not intersect at any point. Parallel planes are planes in the same three-dimensional space that never meet. Parallel curves are curves that do not touch each other or intersect and keep a fixed minimum distance.

For two lines to be parallel, their slope must be equal. This means that the slope of ZY must be equal to the slope of WX

The slope of ZY is calculated as:

(y2-y1)/x2-x1

= 0-2/3-(-5)

= -2/8

= -1/4

Therefore the slope of WX = -1/4

His means for WXYZ to be a parallelogram, the slope of ZY = slope of WX = -1/4

learn more about parallel lines from

https://brainly.com/question/26961508

#SPJ1

The volume of sum of the volume of the cylinder and rectangular prism will be 388.26 cubic cm.

Volume is a measurement of three-dimensional space that is utilized. It is frequently mathematically quantified using SI-derived units or different imperial or US traditional units. The concept of length is linked to the notion of capacity.

A bottle consists of a cuboid and a cylinder.

The volumes are given as,

V = πr²h + L × W × H

V = 3.14 × (3/2)² × 4 + 10 × 8 × 4.5

V = 28.26 + 360

V = 388.26 cubic cm

The volume of sum of the volume of the cylinder and rectangular prism will be 388.26 cubic cm.

More about the volume link is given below.

https://brainly.com/question/1578538

#SPJ1

The solution to the linear function y = 1/4x + 5/4 is (1, 1.5)

A linear equation is an equation that can be written in the form ax + b = 0, where a and b are constants and x is a variable. It is a type of equation that describes a straight line when graphed.

The linear function given is y = 1/4x + 5/4

The solutions given are (1, 1.5) and (12, 4)

Let's test for the values.

For (1, 1.5)

y = 1/4(1) + 5/4

y = 1/4 + 5/4

y = (1 + 5)/4

y = 6/4

y = 1.5

This solution is true.

Let's test for (12, 4)

y = 1/4(12) + 5/4

y = 4.25

This solution is not true

Learn more on linear equation here;

https://brainly.com/question/18831322

#SPJ1

Answer:

[tex]56a+40b[/tex]

Step-by-step explanation:

[tex]43a+13a-12b+52b=56a+40b[/tex]

Answer:

56a+40b

Step-by-step explanation:

43a-12b+13a+52b

--> (43a+13a)+(52b-12b)

--> (56a)+(40b)

--> 56a+40b

Hope that helps

Answer:

slope = 4

Step-by-step explanation:

calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 2, - 13) and (x₂, y₂ ) = (2, 3) ← 2 ordered pairs from the table

m = [tex]\frac{3-(-13)}{2-(-2)}[/tex] = [tex]\frac{3+13}{2+2}[/tex] = [tex]\frac{16}{4}[/tex] = 4

Answer:

i can help you but please can you send full questions