The probability of getting one head is

The ratio 81:108 can be simplified to 9:13. To find the simplest form of the ratio, you can divide both numbers by the greatest common factor. The greatest common factor of 81 and 108 is 9, so you can divide both numbers by 9 to get the simplified ratio of 9:13.

Answer:

7.5

Step-by-step explanation:

Take the figure apart to make one rectangle and 2 triangles.

the rectangle with the endpoint T has  a width of 3 and a height of 1.

The Area for the rectangle is A = wl = 3 * 1 = 3

The first, smaller triangle with points R and A has a height of 3 and a base of 1.

The Area for the triangle is A = h b/2 = 3 * 1/2 = 1.5

The large triangle with points T and P has a height of 3 and a base of 2.

Using the same formula for the Area of a triangle you get 3

Now add all areas together

3+1.5+3 = 7.5

The amount that you need to save per month to fund the emergency fund would be $ 861. 58.

The discretionary money left per month would be $ 585. 88.

The gross income for the month :

= 17. 50 x 40 per week x 4 weeks a month

= $ 2, 800

The amount left which is realized funds for the month is:

= Gross income - FICA + Federal tax withholding + State tax withholding

= 2, 800 x ( 1 - 26. 15 %)

= $ 2, 067. 80

Five months of realized income for the emergency fund is:

= 2, 067. 80 x 5

= $ 10, 339

The amount to save per month is:

= 10, 339 / 12

= $ 861. 58

The amount left per month for discretionary expenses ;

= 2, 067. 80 - 861. 58 - 620. 24 rent

= $ 585. 88

Find out more on emergency fund at https://brainly.com/question/16166117

#SPJ1

Answer:

A) 1/5 = 0.2

B) 120% = 1.2

C) 0.2% = 0.002

D) 4 8/5 = 5.6

A) 3/10 = 30%

B) 1.4 = 140%

C) 123.45 = 12345%

D) 2 4/5 = 280%

Thanks! Have a great day studying!

Answer:

given below.

Step-by-step explanation:

A) 1/5 = 0.2

B) 120% = 1.2

C) 0.2% = 0.002

D) 4 8/5 = 5.6

Convert to percent.

A) 3/10 = 30%

B) 1.4 = 140%

C) 123.45 = 12345%

D) 2 4/5 = 280%

Answer:

2.5 sec

Step-by-step explanation:

Height of wall = 2.5 m

initial speed of ball = 14 m/s

height from which ball is kicked = 0.4 m

we calculate the speed of the ball at the height that matches the wall first

height that matches wall = 2.5 - 0.4 = 2.1 m

using  =  + 2as

where a = acceleration due to gravity = -9.81 m/s^2 (negative in upwards movement)

=  + 2(-9.81 x 2.1)

= 196 - 41.202

= 154.8

v =  = 12.44 m/s

this is the velocity of the ball at exactly the point where the wall ends.

At the maximum height, the speed of the ball becomes zero

therefore,

u = 12.44 m/s

v = 0 m/s

a = -9.81 m/s^2

t = ?

using V = U + at

0 = 12.44 - 9.81t

-12.44 = -9.81

t = -12.44/-9.81

t = 1.27 s

the maximum height the ball reaches will be gotten with

=  + 2as

a = -9.81 m/s^2

0 =  + 2(-9.81s)

0 = 196 - 19.62s

s = -196/-19.62 = 9.99 m. This the maximum height reached by the ball.

height from maximum height to height of ball = 9.99 - 2.5 = 7.49 m

we calculate for the time taken for the ball to travel down this height

a = 9.81 m/s^2 (positive in downwards movement)

u = 0

s = 7.49 m

using s = ut + a

7.49 = (0 x t) +  (9.81 x  )

7.49 = 0 + 4.9

 = 7.49/4.9 = 1.53

t =  = 1.23 sec

Total time spent above wall = 1.27 s + 1.23 s = 2.5 sec

Answer:

pppppppppppppppppppppppppppppppppppppppppp

The experiment is to witness the effect that the amount of light has on growing bean plants has been described below.

What is an experiment?

To discover an unknown thing, the procedures which are needed to be performed is called experiment

The experiment is to witness the effect that the amount of light has on growing bean plants.

Given

1) Number of plants = 20

2) The ability to adjust the light

We know that if the amount of light is more, the metabolic rate of the plant will be more and the purification quality of the plant will be more.

Here, the independent variable is the light hour and the dependent variable is the photosynthetic rate.

So the hypothesis will be

More the amount of light, more will be the photosynthetic rate and the metabolic rate and this results in a higher purification rate.

To learn more about experiment, refer to the link-

https://brainly.com/question/26117248

#SPJ1

The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.

In the equation you provided: 3x(5x7) = (3x5)7

The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.

Answer:

45 sweets.

Step-by-step explanation:

Gavin gets 7(7+3+2) = 7/12 of the sweets.

Dan gets  2 /12  so   Gavin gets 7/2 times as much as Dan

Let Dan get x sweets then

x + 75 = 7x /2

7x/2 - x = 75

5x/2 = 75

x = 75 * 2/5 = 30 sweets.

So Dan gets 30 sweets , Gavin gets 105 sweets and  Colin gets  3/2 * 30

= 45 sweets.

On solving the provided question we can say that The following is the data table of the function.

The subject of mathematics includes quantities and their variations, equations and related structures, shapes and their locations, and places where they can be found. The term "function" refers to the relationship between a set of inputs, each of which has an associated output. A connection between inputs and outputs in which each input leads to a single, distinct result is known as a function. Each function is given a domain and a codomain, or scope. Usually, f is used to denote functions (x). input is an x. There are four main types of functions accessible. based on the following factors: on functions, one-to-one functions, many-to-one functions, inside functions, and on functions.

here,

the provided functions that can be formed are

           x            -infinity < x < -10

f(x) =    2x + 10          -10 < x < 10

           4X - 10       10 < x < infinty

The following is the data table of the function.

x              y

-20          -20

-15          -15

-10          -10

-5             0

0              10

5               20

10              30

15              50

20              70

To know more about function visit:

https://brainly.com/question/28193995

#SPJ1

An example of the piecewise defined function is: \(f(x)= \begin{cases}x & -\infty < x \leq-10 \\ 2 x+10 & -10 < x \leq 10 \\ 4 x-10 & 10 < x < \infty\end{cases}\)

The subject of mathematics includes quantities and their variations, equations and related structures, shapes and their locations, and places where they can be found. The term "function" refers to the relationship between a set of inputs, each of which has an associated output.

A connection between inputs and outputs in which each input leads to a single, distinct result is known as a function. Each function is given a domain and a codomain, or range.

Usually, f is used to denote functions (x). input is an x. There are four main types of functions accessible. based on the following factors: on functions, one-to-one functions, many-to-one functions, inside functions, and on functions.

The following is the data table of the function.

x               y

-20          -20

-15           -15

-10           -10

-5              0

0              10

5              20

10              30

15              50

20             70

The provided functions that can be formed are

\(f(x)= \begin{cases}x & -\infty < x \leq-10 \\ 2 x+10 & -10 < x \leq 10 \\ 4 x-10 & 10 < x < \infty\end{cases}\)

To know more about function visit:

brainly.com/question/28193995

#SPJ1

Using the height and radius given, the surface area of the cylinder is 408.2m²

The surface area of a cylinder is the combined area of its curved surface (lateral surface) and its two circular bases. The formula for the surface area of a cylinder is:

A = 2πrh + 2πr²

where:

In the given question, the data are;

Substituting the value into the formula

A = 2π(5 * 8) + 2π(5)²

A = 408.2m²

Learn more on surface area of cylinder here;

https://brainly.com/question/27440983

#SPJ1

The angle 7 is the alternative interior angle to angle 2.

Given that,In the diagram a || bWe need to find the alternate interior angle to <2 .Alternate interior angles are the angles that are formed when a transversal crosses two parallel lines.

They are the angles that are on opposite sides of the transversal and inside the two parallel lines.

Thus, in the given diagram, the angle that is opposite to angle <2 and is inside the two parallel lines a and b is the alternate interior angle to angle <2.

We can see that the alternate interior angle to angle <2 is <7. Therefore, the alternate interior angle to angle <2 is <7.

To learn more about : angle

https://brainly.com/question/25770607

#SPJ8

Answer:

the first one:)))

Step-by-step explanation:

8 soccer cards and 4 baseball cards in one box, 6 soccer cards and 3 baseball cards in another box

1. X=18.5

2.X= -131

1. if u expand the equation it will be 0.4x-1.80=9.2

0.4x=9.2-1.80

0.4x/0.4=7.40/0.4

X=18.5

Answer:

0 <x<3

Step-by-step explanation:

I hope this helps. Have a blessed day.

The numerals and the number words for each items listed in the above picture is as follows:

a.)4(10): That is four multiplied by 10.

b.) 5(10): That is five multiplied by 10

C.) 7(5) + 1 : That is seven multiplied by five plus 1.

Numerals are used in arithmetics as a form of figures, symbols or group of figures or symbols that represents a a number.

Number word is defined as the representation of numbers in an alphabetical form such as four, five, six and seven.

The numerals and the number words for each items listed in the above picture is as follows:

4(10): That is four multiplied by 10.

5(10): That is five multiplied by 10

7(5) + 1 : That is seven multiplied by five plus 1.

Learn more about number pattern here:

https://brainly.com/question/1678089

#SPJ1

Answer: 24.2° SouthWest

Step-by-step explanation:

First step: DRAW A PICTURE of the vectors from head to tail (see image)

I created a perpendicular from the resultant vector to the vertex of the given vectors so I could use Pythagorean Theorem to find the length of the perpendicular. Then I used that value to find the angle of the plane.

Perpendicular (x):

 cos 35° = adjacent/hypotenuse

  cos 35° = x/160

→ x = 160 cos 35°

Angle (θ):

sin θ = opposite/hypotenuse

sin θ = x/320

sin θ = 160 cos 35°/320

    θ = arcsin (160 cos 35°/320)

    θ = 24.2°

Direction is down (south) and left (west)

Answer:

I have no clue what I could answer that question with other than (-6,-10)

a. The approximate value of the y-intercept is

b. The approximate value of the slope is

c. The expected number of cones of ice cream when the temperature is 30°C is 90°C.

In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):

y - y₁ = m(x - x₁)

Where:

First of all, we would determine the slope of this line;

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (100 - 60)/(45 - 5)

Slope (m) = 40/40

Slope (m) = 1

At data point (5, 60) and a slope of 1, a linear equation for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - 60 = 1(x - 5)  

y = x - 5 + 65

y = x + 60

Part a.

Based on the equation above, the y-intercept is equal to 60.

Part b.

Based on the equation above, the slope is equal to 1.

Part c.

In this scenario, the expected number of cones of ice cream when the temperature is 30°C;

y = x + 60

y = 30 + 60

y = 90°C.

Read more on point-slope here: brainly.com/question/24907633

#SPJ1

The slope of the linear equation F = 9/5 C + 32 is 9/5. This means that for every increase of 1 degree Celsius, the Fahrenheit temperature increases by 9/5 degrees.

Therefore, the slope can be interpreted as "F increases 9/5 degrees for each increase of 1°C."

The conversion formulae we employ are the same ones found in most textbooks. Subtract 32 from the temperature in degrees Fahrenheit and multiply by.5556 (or 5/9). To convert Celsius temperatures to Fahrenheit, multiply by 1.8 (or 9/5) and add 32.

The greater the number assigned to the temperature in fahrenheit, the hotter it is, and the lower, the colder it is.

As the originator of the thermometer as we know it, Fahrenheit had to put something on them to distinguish between different temperatures. The scale he chose became known as the Fahrenheit scale. Fahrenheit set zero to the lowest temperature he could get using a water and salt combination.

For more questions on Temperature scale

https://brainly.com/question/30460134

#SPJ4

Answer: -66.67%, but if the answer is supposed to positive then the answer is 66.67%.

* Hopefully this helps:)

Step-by-step explanation:

y - y1 = m(x - x1)

y - 1 = 4(x - 2)

y = 4x - 8 + 1

y = 4x - 7

The equation of this line is y = 4x - 7

Answer:

Step-by-step explanation:

You want the complete factorization of x³ +4x² -4x -16.

Pairing terms of the given polynomial, we have ...

  (x³ +4x²) -(4x +16)

Factoring each pair gives ...

  x²(x +4) -4(x +4)

  = (x² -4)(x +4)

The factorization of x² -4 is found using the form for factoring the difference of squares:

  a² -b² = (a +b)(a -b)

  x² -4 = (x +2)(x -2)

Note that x+2 is a factor here.

The complete factorization of the given polynomial is ...

  x³ +4x² -4x -16 = (x +4)(x +2)(x -2)

This is confirmed by the graph, which shows zeros at x = -4, -2, 2.

Answer:

she originaly had $6.55

Step-by-step explanation:

4.20+2.35=6.55

Answer:

u can know that Noemy bought a box of apples for $4.20. You also know that she has $2.35 in her purse after buying the box of apples.

Answer: r=11

Step-by-step explanation:

A=πr^2

A=121π

121π=πr^2

r^2=121

r=11

Answer:

I need points lol well I kinda have no idea what ur taking abt

Answer:

the calculator i used was called calculator soup this is a website all u gotta do is search up factor calculator and it will pop up this website always helps if u want u can search up what u calculator u want at the top where it says search

Answer:

a) 2.06

b) variance = 270.90 , std = 275.14

Step-by-step explanation:

a) Determine Expected rate of return

attached below is the calculated table for the solution provided

∴ Expected rate of return = ∑ Xp(x) = -6.46 + 3.84 + 4.68 = 2.06

b) Determine the variance and standard deviation

Variance ( Vx ) = E(x)^2 - [ Expected rate of return ]^2

                         = 275.14 - ( 2.06 )^2 ≈ 270.90

standard deviation = √ variance = √270.90 = 16.459

note : E(x)^2 = ∑ x^2 p(x) = 275.14