Martina read that approximately 10% of all people are left-handed. She wants to design a

simulation to approximate the probability of selecting exactly 2 right-handed people when 3

people are randomly selected.

Part A

In the simulation, Martina has a spinner with sections of equal size. One section is labeled "L"

(left) and the rest of the sections are labeled "R" (right).

For this simulation to be as accurate as possible, what is the total number of

sections that the spinner should have?

Answer:

B) Vertex = (-5, 2)

Step-by-step explanation:

Vertex can be defined as defined as the point where two lines meet and form a particular angle with each other. It can also be described as the point where a line changes its direction

We can find vertex by two methods:

We can see in the graph attached below that the line changes its direction at point (-5, 2). So the vertex is (-5,2)

General form of equation of mod function is given by

y = a |x - h| + k

where Vertex = (h, k)

The given equation is

h(x) = 3 |x + 5| + 2

h(x) = 3 |x - (-5)| + 2

where h = -5 and k = 2

So the vertex is:

Vertex = (-5, 2)

Answer:

(–5, 2)

Step-by-step explanation:

Answer: :

x7 –4x5 + 2x4+ 4x3 + x7 – 10

Answer:

Step-by-step explanation:

well,

you mark an arrow to the left side of # line with open circle on -2

then,

you mark an arrow to the right side of # line with open circle on 4

Answer:

Option 1) is correct

Step-by-step explanation:

Given: The graph shows the distance in miles, m, hiked from a camp in h hours.

To find: hourly interval that had the greatest rate of change

Solution:

Rate of change between two points refers to the vertical change divided by the horizontal change.

For hour 0 to hour 1:

rate of change = [tex]\frac{2-0}{1-0}=2[/tex]

For hour 2 to hour 3:

rate of change = [tex]\frac{4.5-3.5}{3-2}=1[/tex]

For hour 1 to hour 2:

rate of change = [tex]\frac{3.5-2}{2-1}=1.5[/tex]

For hour 3 to hour 4:

rate of change = [tex]\frac{5-4.5}{4-3}=0.5[/tex]

So, rate of change is greatest in interval: hour 0 to hour 1

The greatest rate of change between the interval 0 to 1 hour.

Given that,

The graph below shows the distance in miles, m, hiked from a camp in h hours.

We have to determine,

Which hourly interval had the greatest rate of change?

According to the question,

The greatest rate of change between the interval is determined by the rate of change between two points refers to the vertical change divided by the horizontal change.

1. The rate of change between 0 to 1 hours is,

[tex]\rm Rate \ of \ change = \dfrac{2-0}{1-0}\\\\ Rate \ of \ change= \dfrac{2}{1}\\\\ Rate \ of \ change= 2[/tex]

The rate of change between 0 to 1 hour is 2.

2. The rate of change between 2 to 3 hours is,

[tex]\rm Rate \ of \ change = \dfrac{4.5-3.5}{3-2}\\\\ Rate \ of \ change= \dfrac{1}{1}\\\\ Rate \ of \ change= 1[/tex]

The rate of change between 2 to 3 hours is 1.

3. The rate of change between 1 to 2 hours is,

[tex]\rm Rate \ of \ change = \dfrac{3.5-2}{2-1}\\\\ Rate \ of \ change= \dfrac{1.5}{1}\\\\ Rate \ of \ change= 1.5[/tex]

The rate of change between 1 to 2 hours is 1.5.

4. The rate of change between 3 to 4 hours is,

[tex]\rm Rate \ of \ change = \dfrac{5-4.5}{4-3}\\\\ Rate \ of \ change= \dfrac{0.5}{1}\\\\ Rate \ of \ change= 0.5[/tex]

The rate of change between 2 to 3 hours is 1.

Hence, The required greatest rate of change between the interval 0 to 1 hour.

For more details refer to the link given below.

https://brainly.com/question/2137763

Answer:

1/15

Step-by-step explanation:

Jesse drives to work. The distance Jesse’s car travels (d) on a number of gallons of gas (g) is given by the equation d = 15g. The constant of proportionality in terms of distance traveled per gallon of gas is 1/15.

the equation is...

d=15g

Now lets solve for 1 gallon of gas

d=15g

d=15(1)

d=15

This means that for every 1 gallon of gas, 15 (insert missing unit of distance here) can be driven.

15/1=15

1/15

please mark me brainliest :)

please see the attached picture for full solution

Hope it helps..

Answer:

Arc = angle/360° x 2πr

13) = 72/360 x 2π x 25

= 1/5 x 2π x 25 = 10π

14) 270/360 x 2π x 2

= 3/4 x 4π = 3π

Answer:

18

Step-by-step explanation:

The formula for interior angles in a ngon is

(n-2)*180

2880/180=16

n-2=16

n=18

Answer: -4, -4

Step-by-step explanation:

y=x means x and y are the same number in the coordinate, no matter if it’s positive or negative.

Answer:

i) The maximum height  of the ball 'x' = 1.5 seconds

ii)   The maximum height  = 42

 Step-by-step explanation:

Step(i):-

Given h(x) = - 16 x² + 48 x +6   ...(i)

Differentiating equation (i) with respective to 'x'

[tex]h ^{l} (x) = - 16 (2 x) +48 (1)[/tex]   ...(ii)

Equating Zero

- 3 2 x + 4 8 = 0

- 32 x = - 48

    x = 1.5

step(ii):-

The maximum height of the ball 'x' = 1.5

Again Differentiating equation (ii) with respective to 'x'

[tex]h ^{ll} (x) = - 16 (2 x) < 0[/tex]

The maximum height 'x' = 1.5

h(x) = - 16 x² + 48 x +6  

h(1.5) = - 16 (1.5)² +4 8 (1.5) +6

         =   42

The maximum height at x = 1.5 is  = 42

Final answer:-

i) The maximum height  of the ball 'x' = 1.5 seconds

ii)   The maximum height  = 42

Answer:

B

Step-by-step explanation:

Answer:

210cm2

Step-by-step explanation:

Area of rectangle: HxW

Area of Triangle: 1/2 x bx h

There are 3 rectangles with the length of 14x3

14x3x3

= 14x9

= 126cm2

There are two triangles with the height of 12 and base of 14.

1/2x 14x 12

= 1/2x 168

= 168/2

= 84cm2

Now finally add them together:

84+126

= 210cm2

Answer:

1/3

Step-by-step explanation:

the total outcomes is 3*4 = 12

the  probability to get two digit numbers 14 or less is :

11 12 13 14  

4/12 = 1/3

Answer:

A approximation of 34 minutes and 30 seconds each day .

Step-by-step explanation:

First you would need to convert 4 hours to minutes , so 1 hour equals 60 minutes - 60 min = 1 hour, 60 min times 4 = 240 minutes in total. There are 7 days in total of the week, 240 minutes - 7 days of the week : 240 divided by 7 , equals a approaximation of 34 minutes and 30 seconds each day.

Answer: Flying disc

Step-by-step explanation:

Hi, to answer this question we have to apply the next formula for each object:

Circumference(C) = π x diameter

Diameter = 3  

Circumference (measured) = 10  

C (calculated) = π x d = π x 3 = 9.42  

10≅9.42

Diameter =23

Circumference (measured) = 28  

C (calculated) = π x d = π x 23 = 72.25

72.25 ≠ 28

Not accurate

Diameter =8

Circumference (measured) =25  

C (calculated) = π x d = π x 8= 25.13

25 ≠ 25.13

Diameter =15

Circumference (measured)=47

C (calculated) = π x d = π x 15 = 47.12

47 ≠47.12

Feel free to ask for more if needed or if you did not understand something.  

Answer:

Jar lid

Step-by-step explanation:

If you look up the diameter and circumference of the jar lid, it would give you an answer and if you compare it the answers are diffrent. So what you wan to put is: "I know that the Jar lid is wrong because For a  jar lid, the diameter is 8, but for the circumference its is 2.5, and on the chart the dimeter is 8 BUT the circumference is 2.5" Hope this help. :)

Answer:

2 inches

Step-by-step explanation:

A cube has 6 faces. Therefore, each face is 4 square inches. (24/6) The side length of the square (face of the cube) is the square root of the area. The square root of 4 is 2. There is your answer :)

Answer:

The answer is option c.

4x³ + x² - 20x - 5

Answer:

C

Step-by-step explanation:

Answer:

Step-by-step explanation:

2.54 centimeters = 1 inch

15.24 centimeters = 6 inches

I don't know what other relationships they want :)

Answer:

x = 15                   x = -13

Step-by-step explanation:

|x-1|=14

There are two solutions to the absolute value equation, one positive and one negative

x-1 = 14   and x-1 = -14

Add 1 to each side

x-1+1 = 14+1     x-1+1 = -14+1

x = 15                   x = -13

Answer:

x= 13 or -13

Step-by-step explanation:

Substitute x for 13

|13+-1|=14

13+1=14

14=14

Now try -13

|-13+-1|=14

13+1=14

14=14

Answer:

A)[tex]^{28}P_4}=491400[/tex]

Step-by-step explanation:

Total number of members = 28

We are supposed to find the no. of ways the four offices of chairman, vice chairman, secretary, and treasurer be filled from a club with 28 members

When 1 member is selected for Chairman position

So, 27 members will be left for the selection for the position of Vice chairman

When 1 member out of 27  is selected for Vice chairman position

So,26 members will be left for the selection for the position of secretary

When 1 member out of 26  is selected for secretary position

So,25 members will be left for the selection for the position of treasurer

Permutation relates to the act of arranging all the members of a set into some sequence or order,

The combination is a way of selecting items from a collection, such that (unlike permutations) the order of selection does not matter.

So, we will use permutation over here

Formula [tex]^nP_r=\frac{n}{(n-r)!}[/tex]

Substitute n = 28 and r = 4

So,[tex]^{28}P_4=\frac{28!}{(28-4)!}=491400[/tex]

So, Option A is true

A)[tex]^{28}P_4}=491400[/tex]

Hence There are 491400 ways the four offices of chairman, vice chairman, secretary, and treasurer be filled from a club with 28 members.

The number of ways the four offices of chairman, vice chairman, secretary, and treasurer be filled from a club with 28 members is 491,400.

The given parameters

[tex]nP_r =\frac{n!}{(n- r)!}[/tex]

[tex]28 P4 = \frac{28!}{(28-4)!} = \frac{28!}{24!} = 491,400[/tex]

Thus, the number of ways the four offices of chairman, vice chairman, secretary, and treasurer be filled from a club with 28 members is 491,400.

Learn more about permutation here: https://brainly.com/question/3086912

Answer:

Step-by-step explanation:

Answer:

32.72

Step-by-step explanation:

36.36/100

0.3636

0.3636 times 90 (I use 90 because 100-10=90) 10% tax, so 90% original cost.

32.72

Answer:

Length = 80 metres and Width = 60 metres.

Step-by-step explanation:

Given

Length = 90m

Width = 50m

Required

Dimension of another rectangle with the same perimeter but larger area;

Perimeter of a rectangle is calculated as thus;

[tex]Perimeter = 2(Length + Width)[/tex]

Substitute: Length = 90m and Width = 50m

[tex]Perimeter = 2(90m+ 50m)[/tex]

[tex]Perimeter = 2(140m)[/tex]

[tex]Perimeter = 280m[/tex]

Area of a rectangle is calculated as thus;

[tex]Area = Length * Width[/tex]

Substitute: Length = 90m and Width = 50m

[tex]Area = 90m * 50m[/tex]

[tex]Area = 4500m^2[/tex]

So, the implication of this question is to get a rectangle whose perimeter is 280m and area is greater that 4500m²

Using trial by error method;

Assume length of a rectangle is 80m;

This means the width must be 60m

Calculating the perimeter

[tex]Perimeter = 2(80m+ 60m)[/tex]

[tex]Perimeter = 2(140m)[/tex]

[tex]Perimeter = 280m[/tex]

Calculating the area

[tex]Area = 80m * 60m[/tex]

[tex]Area = 4800m^2[/tex]

Since, the area of this rectangle is greater than the area of the previous rectangle. we can adopt this dimension.

Length = 80 metres and Width = 60 metres.

Note: There are other dimensions that have higher area and exact perimeter as the given rectangle in the question;

This question is not properly written

Complete Question

When the two crews start working together, what part of all

the garbage bins will the first garbage truck empty?

The crew of a garbage truck takes 5 hours to empty all the bins in one neighborhood on pickup day. The city assigned a second garbage truck to this neighborhood. During their training, it took the crew from the second truck 8 hours to empty all the bins.

Options

• 0.6

• 0.5

• 0.7

Answer:

0.6

Step-by-step explanation:

Let us say that the total hours worked by both trucks = t hours

Number of hours worked by first truck = 5 hours

Number of hours worked by second truck = 8 hours

Let 1 =  total number of bins.

For the 1st truck the rate at which work was carried out is

(1 ) ÷ (5 ) = 1/5

For the 1st truck the rate at which work was carried out is

( 1 ) ÷ (8 ) = 1/8

Then,

(1/5 + 1/8) × t =1

(1/5 + 1/8) × t= 1

(13/40)t = 1

t = 1÷ 13/40

t = 1× 40/13

t = 40/13 hours.

Hence, the total hours worked by both trucks = 40/13 hours

the part of all

the garbage bins that the first garbage truck will empty is calculated as:

1/5 × 40/13 hr

1/5 × 40/13

= 0.6153846154

Approximately = 0.6

Therefore, when the two crews start working together, the part of all

the garbage bins that the first garbage truck will empty is 0.6 of the total work done.

Answer:

A) 0.6

Step-by-step explanation:

Answer:

Step-by-step explanation:

3x -20 -4x =4x -(3x -2)

3x - 20 -4x = 4x -3x+2

-x-20 =x +2

-20-2=x +x

-22=2x

x= -22/2

x=-11

Answer:

-22

Step-by-step explanation:

Which part of the function is valid when x = -6

The first part

h(-6) = 4x+2 and let x = -6

        =4(-6) +2

        = -24 +2

         =-22

Answer:

-22

Step-by-step explanation:

Answer:

Step-by-step explanation:

v=u+at

38.9=13.2+21.5 t

21.5 t=38.9-13.2

21.5 t=25.7

t=25.7/21.5≈1.195 s

Answer:

To find the time taken, we use the equation:

v

=Then to find the time taken, we use the equation:

v = u + at

where:

v is the final velocity of the train

u is the initial velocity of the train

a is the train's acceleration

t is the time taken

So, we get:

t = (v-u)/a

t = (38.9 - 13.2)/21.5

t = 25.7/21.5

t = 1.19 seconds

Answer:

65.46 meters cubed

Step-by-step explanation:

Answer: the answer is V= 125/6πm^3

Step-by-step explanation: edge 2021

Answer: 9x-20

Step-by-step explanation:

The function is [tex]f(x)=3x-5[/tex], in order to obtain f(f(x)) you have to replace x in the function by the function itself:

[tex]f(f(x))=3(3x-5)-5=9x-15-5=9x-20[/tex]