A football team carried out a report to see the impact of stretching on preventing injury. Of the 45 footballers in the squad 36 stretch regularly. Of those who stretch, 6 got injured last year. There was a total of 10 injured players last year.
The results can be presented in a frequency tree. What fraction of players who don't stretch get injured?

Answers

Answer 1

The fraction of players who don't stretch and get injured = 4/9.

The frequency tree is shown in the image attached.

The total number of footballers = 45.

The total number of footballers who stretch = 36.

Therefore, the number of footballers who don't stretch = 45 - 36 = 9.

The total number of injured footballers = 10.

The number of injured footballers from the players who stretch = 6.

Therefore, the number of injured footballers from the footballers who don't stretch = 10 - 6 = 4.

The total number of footballers who don't get injured = 45 - 10 = 35.

The number of footballers who stretch and don't get injured = 36 - 6 = 30.

The number of footballers who don't stretch and don't get injured = 9 - 4 = 5.

Therefore, the frequency tree can be shown in the image attached.

The fraction of players who don't stretch and get injured = 4/9.

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A Football Team Carried Out A Report To See The Impact Of Stretching On Preventing Injury. Of The 45

Related Questions

what are simultaneous equations​

Answers

Answer:

Simultaneous equations are two or more algebraic equations that share variables e.g. x and y . They are called simultaneous equations because the equations are solved at the same time. Each of these equations on their own could have infinite possible solutions.

If a hotel decreases the price of its rooms from $80 to $40. As a result, the total quantity demanded of its service increased from 2000 to 4000. Which type of price elasticity of demand does the hotel room have?








a.
Elastic


b.
Inelastic


c.
Perfectly inelastic


d.
Unitary

Answers

A. Elasic bc 2000 and 4000

128 (4 + 2) = (128 ÷ 4) + 2
A. True
B. False

Answers

Answer:

B. False

Step-by-step explanation:

Just like last time, solve it first to check.

128(4+2)=(128/4)+2

Remember PEMDAS, parenthesis first.

128(6)=(32)+2

Now multiply the left side and add the right side.

128*6=768. The star sign is just another way to write a multiplication sign.

32+2=34

768≠34

This is a false statement. 768 does not equal 34.

Hope this helps!

If not, I am sorry.

Ali had 3 times as many marbles as cho does. After cho gives 4 marbles to Ali, Ali has 18 more marbles than cho does. How many more marbles does cho have in the beginning

a. 5
b. 9
c. 10
d. 15

Answers

Answer:

d. 15

Step-by-step explanation:

Let A and C be the initial number of marbles Ali and Cho have, respectively.

We are told that:

A = 3C  [Ali had 3 times as many marbles as cho does]

We then discover that  

C-4 = A-18   [After cho gives 4 marbles to Ali, Ali has 18 more marbles than cho does]

How many more marbles does cho have in the beginning?

We have 2 equations and 2 unknowns (A and C).  That means we can likely rearrange one of the equations and isolate one unknown on the left, and then use that in the second equation.

The first equation already has one of the unknowns isolated (A) so I'll use that in equation 2.

Eq. 1:   A = 3C

Eq. 2:  C-4 = A-18

Use the definition of A from Eq. 1 (=3C) to replace A in Eq. 2:

Eq. 2:  C-4 = A-18

          C-4 = (3C)-18    [Replace A with 3C, as promised in E1q. 1]

        -2C = -14

            C=7

If C = 7, then from Eq. 1,  A = 21

In the beginning, Ali has 21 marbles and Cho has 7.

Cho has 15 more marbles than Ali in the beginning.

a. 5

b. 9

c. 10

d. 15

On the day of his 18th birthday, David decided to start saving money regularly.
a) Starting on that day, he could save £ 60 on the same date every month.
How much would he have saved by the day before his 60th birthday?
b) David explored another option.
Starting on his 18th birthday, he could save £ 100 on the same date every year.
If he saved in this way, how old would he be by the time he saved £ 2000?

Answers

a) The person will save $15,120 by the day before his 60th birthday. b) David would have had £2000 when he is 37 years old.

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

a) Let x be a number of months.

Now, we will find a number of years between 60 and 18 years.

There will be 42 years from 18th birthday to 60th birthday.

Now, we will convert 42 years into months.

42 × 12 = 504

In order to find the total amount saved in 504 months, we will substitute  in expression:

30x = 30(504) = 15120

Hence, the person will save $15,120 by the day before his 60th birthday.

b) David starts saving £100 annually from his 18th birthday

We would save £2000 after

(2000/100) years = 20 years

Since his 18th birthday is the first of the 20 years and so he will save £950 for the next 19 years, which is

18 + 19 = 37 years old

Hence, David would have had £2000 when he is 37 years old.

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Peter's father told Peter to buy four-tenths of a pound of chili powder. Each package is marked with its weight. What package should Peter buy?

Answers

Peter should buy 0.4 pound weight package

A percentage is a figure or ratio stated as a fraction of 100 in mathematics. Although the abbreviations "pct," "pct," and occasionally "pc" are also used, the percent sign, " percent ", is frequently used to signify it. A % is a number without dimensions and without a measurement system.

Given Peter's father told Peter to buy four-tenths of a pound of chili powder and Each package is marked with its weight.

We have to find which weight package should Peter buy

The four-tenths of a pound will be 40 % of one pound which is 0.4 pound. So peter should buy 0.4 pound weight package.

Hence Peter should buy 0.4 pound weight package

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(-4,3)
-5-4-3
24
5
432
-14
-2
-3-
A
(0,1)
1 2
(4,-1)
Which linear function is represented by the graph?
Of(x) = -2x + 1
Of(x)=x+1
O f(x) = x+1
Of(x)=2x+1

Answers

Answer:

f(x) = -2x+1

Step-by-step explanation:

See attached image

The equation of line will be;

⇒ f (x) = - 1/2x + x

What is Equation of line?

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

Two points on the line are (- 4, 3) and (4, -1).

Now,

Since, The equation of line passes through the points (- 4, 3) and (4, -1).

So, We need to find the slope of the line.

Hence, Slope of the line is,

m = (y₂ - y₁) / (x₂ - x₁)

m = (- 1 - (3)) / (4 + 4)

m = - 4 / 8

m = - 1/2

Thus, The equation of line with slope - 1/2 is,

⇒ y - (3) = - 1/2 (x + 4)

⇒ y - 3 = - 1/2x - 2

⇒ y = - 1/2x + x

Therefore, The equation of line will be;

⇒ f (x) = - 1/2x + x

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Preform the indicated operation.
(2x+y)(3 x² + y)

Answers

Answer:

[tex]6x^3+3x^2y+2xy+y^2[/tex]

Step-by-step explanations:

[tex](2x+y)(3x^2+y)\\2x*3x^2+2xy+3x^2y+y*y - Distribute\\6x^3+3x^2y+2xy+y^2 - Simplify[/tex]

Answer:

6x^3 + 2xy + 3x^ 2y + y^2

Step-by-step explanation:

Apply the distributive property of multiplication.  First multiply (3x^2 + y) by 2, obtaining 6x^3 + 2xy, and then multiply (3x^2 + y) by y, obtaining

3x^2y + y^2.  Finally, combine like terms (if any) in these two results:

6x^3 + 2xy + 3x^ 2y + y^2

Si en un autobús hay disponibles solo tres asientos y siete personas están de pie ¿De cuántas maneras distintas podrían ocupar esos asientos?

Answers

Usando la fórmula de combinación, se encuentra que hay 35 manerias distintas de ocupar esos asientos.

El orden en que se sientan las personas no es importante, por lo que se utiliza la fórmula de combinación para resolver este problema.

¿Cuál es la fórmula de combinación?

[tex]C_{n,x}[/tex] es el número de combinaciones diferentes de x objetos de un conjunto de n elementos, dado por:

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

3 personas son selecionadas de un conjunto de 7, por eso, el número de maneras es dado por:

[tex]C_{7,3} = \frac{7!}{3!4!} = 35[/tex]

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The vertical line test can be used to determine the given relation/graph is a

Answers

the vertical line test is used to determine if something is a function or not

Find the value of X in the given
right triangle.
10
x= [?]°
Enter your answer as a decimal rounded to the
nearest tenth.

Answers

You might want to give us the triangle to solve?

On a coordinate plane, solid circles appear at the following points: (negative 2, negative 5), (negative 1, 3), (1, negative 2), (3, 0), (4, negative 2), (4, 4).
Which explains why the graph is not a function?

Answers

The input value of 4 results in two outputs - 4 and -2. Since the same input results on more than one output, the relation cannot be a function.

Help me O people!
Please!

Answers

Answer:

the answer is L

Step-by-step explanation:

that's just how u round

Its L if ur rounding to the nearest tenth

make a 2 column proof
please make it simple like JK is parallel to NM(given)
i will also give brainliest

Answers

Answer:

Given:  L is the midpoint of [tex]\overline{JM}[/tex]  (given)

[tex]\overline{JL} =\overline{LM}[/tex]  (definition of a midpoint)

Given:  [tex]\overline{JK} \parallel \overline{NM}[/tex]  (given)

[tex]\angle KJL \cong \angle NML[/tex] (alternate interior angles theorem)

[tex]\angle JKL \cong \angle MNL[/tex] (alternate interior angles theorem)

[tex]\triangle JKL \cong \triangle MNL[/tex]  (SAA postulate)

(I have also created it in table form and attached a screenshot)

The angle of depression from the hot-air
balloon to the car is 32°
How high is the hot-air balloon flying?
Give your answer to 2 s.f.
6600 feet
Not drawn accurately

Answers

Answer:

3497.47 feet

I think it's the answer because when you look where I've drawn...that's where the angle of depression is and 6600 is the hypotenuse, so you use the sine method where you have opposite over hypotenuse

[tex] \sin(32 = opposite \6600) [/tex]

and you'll get your answer as 3497.47

the radis of the cylinder is (2/7) units and height of the cylinder is (8/11 units find the volume of the cylinder use =22/7

Answers

The volume of the cylinder is 64/3773 cubic units

Volume of a cylinder

The formula for calculating the volume of a cylinder is expressed as:

V = πr²h

where

r is the radius

h is the height

Given the following parameters

r = 2/7units

h =8/11 units

Substitute

V = 22/7 * 2/7 * 2/7* 8/11
V = (2/7)³ * 8/11
V = 8/343 * 8/11
V = 64/3773 cubic units

Hence the volume of the cylinder is 4/3773 cubic units

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Instructions: Simplify the algebraic expression.

−12(32x−10y)

Answers

Answer:

-384x - 120y

Step-by-step explanation:

General Concepts and Formulas:

Brackets

Parentheses

Exponents

Multiplication

Division
A
ddition
S
ubtraction

Steps:

1) Distribute

[tex]-12(32x-10y)[/tex]

We must distribute the expression above by multiplying -12 by the coefficients and then adding the variables.

So first, multiple -12 by 32 and add the variable 'x' when getting the product:

-12(-384x - 10y)

Now that we have one part, let's solve the other part.

We now must multiple -12 by -10, which gets us 120, now we must plug in:

(-384x - 120y)

(Remove parenthesis)

⇒  -384x - 120y

what is is i^30?
A. -i
B. -1
c. 1
D.i

Answers

[tex]i^{30}=(i^2)^{15}=(-1)^{15}=-1[/tex]

Factorize
ху
+ 3x +3y
+ 18

Answers

Answer:

(x+6)(y+3)

Step-by-step explanation:

xy + 3x + 6y + 18x(y + 3) + 6(y+3)(x+6)(y+3)

What are the solutions of the equation (x 2)2 – 2(x 2) – 15 = 0? use u substitution to solve.

Answers

The solution of the equation is x=3 or x=-5.

Given that the equation is (x+2)²-2(x-+2)-15=0 and use u substitution method to solve.

Let's assume that the (x+2)=u.

The given equation is rewritten as u²-2u-15=0.

Factorize the quadratic equation by adding or subtracting two number that gives the sum of -2u and product 15u² as

u²-5u+3u-15=0

u(u-5)+3(u-5)=0

Taking out (u-5) as common and get

(u-5)(u+3)=0

Compare each equation with 0 and get

u-5=0 or u+3=0

u=5 or u=-3

Performing back substitution by substituting the values of u in x+2

when u=5 then x is

x+2=5

x=3

And when u=-3 then x is

x+2=-3

x=-5

Hence, the solutions of the (x+2)²-2(x-+2)-15=0 is x=3 and x=-5.

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Answer:X=-5 and X=3

Step-by-step explanation:

quadrilateral ABCD is similar to quadrilateral EFGH find the measure of side EF round your answer to the nearest tenth if necessary

Answers

Answer:

EF = 2.9

Step-by-step explanation:

The geometric figures are similar so we can use the similarity ratio to calculate the length of EF:

GF/ CB = EF/AB

5/29 = EF/17 cross multiply expressions

29EF = 85 divide both sides by 29

EF = 2.9 approximately

Please help!

What is the first step in solving the function below?

Answers

[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]

[tex]\qquad \tt \rightarrow C.\:factor \:\: out \:\: 2x [/tex]

____________________________________

[tex] \large \tt Solution \: : [/tex]

[tex]\qquad \tt \rightarrow \: 2 {x}^{3} - 18 {x}^{2} + 40x[/tex]

[tex]\qquad \tt \rightarrow \: 2x(x {}^{2} ) - 2x(9x) + 2x(20)[/tex]

[tex]\qquad \tt \rightarrow \: 2x( {x}^{2} - 9x + 20)[/tex]

Henceforth, The most efficient first step in factorising the given trinomial is to factor out 2x

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

Anne is visiting a friend who lives 18.5 km away. She travels 10 km by train, 1.5 km by bus, and walks the rest of the way. If she walks at a rate of 3.5 km per hour, for how long will Anne walk

Answers

Anne will walk a distance of 7 km, and she takes 2 hours to walk that distance.

For how long will Anne walk?

The total distance is 18.5 km.

She travels 10km by train and 1.5km by bus, for a total of 11.5km.

The distance that she walks is given by:

18.5km - 11.5km = 7km

So she walks for a distance of 7 km, at a speed of 3.5km per hour.

Remember the relation:

distance = time*speed

That can be rewritten to:

time = distance/speed.

Then the time that she walks is given by:

T = (7 km)/(3.5 km/hour) = 2 hours

She walks for 2 hours.

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Which of the following rational functions is graphed below?

Answers

Answer:

D

Step-by-step explanation:

I looked at the vertical asymptotes. -1 and 2. from the knowledge I have the answer with x=-1, 2 is D.

Two-Variable Systems of Inequalities
On a piece of paper, graph this system of inequalities. Then determine which
region contains the solution to the system.
ysx-2
y24x-4
O A. Region D
B. Region B
C. Region C
D. Region A
10
6
6
A 4
10 B 84
D
999
B
C
XA¹
10

Answers

Inequalities help us to compare two unequal expressions. The correct option is B.

What are inequalities?

Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed.

It is mostly denoted by the symbol <, >, ≤, and ≥.

The solution to two systems of inequalities in the region where the area of the two inequalities overlaps. As it can be observed in this case that the overlap area is B.

Hence, the correct option is B.

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Expand . ( 3x –2 ) 2 please help me with this.

Answers

Answer:

6x-4

Step-by-step explanation:

3x•2= 6x

-2•2=-4

-------------------------------------------------------------------------------------------------------------

Answer:  [tex]\textsf{9x}^2\textsf{ - 12x + 4}[/tex]

-------------------------------------------------------------------------------------------------------------

Given:  [tex]\textsf{(3x - 2)}^2[/tex]

Find: [tex]\textsf{Simplify the expression}[/tex]

Solution:  It looks like 2 is at the end of the parenthesis where the power would be instead of distributing the number.  If so the following steps would be followed.

Expand

[tex]\textsf{(3x - 2)}^2[/tex][tex]\textsf{(3x - 2)(3x - 2)}[/tex][tex]\textsf{(3x * 3x) + (3x * (-2)) + (3x * (-2)) + (-2 * (-2))}[/tex]

Simplify

[tex]\textsf{9x}^2\textsf{ - 6x - 6x + 4}[/tex][tex]\textsf{9x}^2\textsf{ - 12x + 4}[/tex]

Therefore, after following the provided information we are able to determine that the expanded form would be 9x^2 - 12x + 4.

a sunflower has increased in height from 72.4cm to 86.2 cm. what is the percentage increase?

Answers

Answer:

initial hieght = 72.4 cm

final hieght = 86.2 cm

change in hieght = 9.8 cm

percentage increase = (9.8 ÷ 72.4 ) * 100 = 13.59 %

A local pizza shop has a membership program for frequent buyers. The membership costs $20 per month and members get a discounted price of $1.25 per slice of pizza. Chee purchased a membership to this pizza shop. How much would Chee have to pay the pizza shop if she bought 12 slices of pizza this month? What would be the monthly cost for x slices of pizza?

Monthly cost with 12 slices:
Monthly cost with x slices
need answer quickly

Answers

The Chee has to pay $35 to the pizza shop if she bought 12 slices of pizza this month and for x slices, the cost would be ($1.25x + 20)

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have:

The membership costs $20 per month and members get a discounted price of $1.25 per slice of pizza.

Cost for 12 slices = 12×1.25 = $15


Total cost = 20 + 15 = $35 (for this month if  she bought 12 slices of pizza)

The monthly cost for x slices of pizza:

= 1.25x + 20

x is the number of slices

Thus, the Chee has to pay $35 to the pizza shop if she bought 12 slices of pizza this month and for x slices, the cost would be ($1.25x + 20)

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this is really confusing please help

Answers

Step-by-step explanation:

you don't know the meaning of

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

it means it is the inverse function to h(x).

the regular function assigns an y value to every x value.

the inverse function now turns this around and finds for a given y value the original x value.

so, the inverse function is easier understood, if we would write it

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

but just for formal reasons, we don't define functions this way but do it like above (x is the input, y the output value).

just, the understanding of an inverse function is a I just described it.

that means for the points, simply x and y values trade places.

the point (1, 9) turns into (9, 1) (it means 1 was the original x value when the original function delivered 9 a result).

and the point (3, 2) turns into (2, 3).

so, move the 2 green dots to these coordinates.

Part of the proceeds from a garage sale was $540 worth of $5 and $20 bills If there were 3 more bills $5 bills than $20 bills, find the number of each denomination.

Answers

An equation is formed when two equal expressions. There are 21 $20 bills and 24 $5 bills.

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Let the number of $5 bills be x, while the number of $20 bills be y.

Given there were 3 more $5 bills than $20 bills. Therefore, this can be represented as

x = y + 3

Also, The total worth of the dominations is $540. Therefore, we can write,

5x + 20y = 540

Substitute the value of x form the first equation,

5x + 20y = 540

5(y+3) + 20y = 540

5y + 15 + 20y = 540

25y = 525

y = 21

Substitute the value of y in the first equation,

x = 21 + 3

x = 24

Hence, there are 21 $20 bills, and 24 $5 bills.

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