FRQ 1

Amusement parks sell day passes and season passes. A day pass to Fun World costs $41 and provides admittance to the amusement park for one day. A season pass to Fun World costs $100 and provides unlimited admittance to the amusement park all season.

The manager of Fun World would likely be able to understand how frequently patrons visit the park. At the end of the season he selects two separate random samples: one of 30 patrons that did not buy a season pass and one of 30 patrons that did buy a season pass. The parallel boxplots show the distribution of number of visits per patron for the most recent season for these two samples.



A) Write a few sentences comparing the distributions of number of visits for the sample of patrons that did and did not buy a season pass.




B) The mean number of visits per patron among those that did not buy a season pass is 1.7 visits per patron. The mean number of visits per patron among those that did buy a season pass is 2.967 visits per patron. Are these values parameters or statistics? Explain.




C) The number of visits for the 30 patrons that bought season passes are:

1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 3 3 3 3 3 4 4 4 4 4 5 7 9 10

What proportion of these patrons would have paid less if they bought day passes rather than a season pass? Explain.

FRQ 1Amusement Parks Sell Day Passes And Season Passes. A Day Pass To Fun World Costs $41 And Provides

Answers

Answer 1

Answer:

a) The number of visits between the patrons who buys the season passes shows higher frequency than those who did not buy season passes, in general. However, the minimum value of 1 visit is present for both cases.

b) The mean visits of the patrons are just PARAMETERS. If you want to test your hypothesis using hypothesis testing, the statistics are the z or t scores comparing the parameters (means).

c) The proportion who would have paid less are those with 2 or fewer visits because they would only just paid $82 instead of $100.

Number of patrons with 2 or fewer visits: 16

Total number of patrons who bought season passes: 30

Proportion who would've paid less = 16/30 = 0.5333

Step-by-step explanation:

I just did it

Answer 2
Boxplots gives diagrammatic representation of a distribution using box and whiskers.

Statistical values derived form a sample are called statistic while those obtained from population are called parameter.

The proportion of patrons who would have paid less is 0.533

We can briefly describe the distribution represented by the boxplot thus :

Minimum visit for those who purchased season ticket and those who didn't is the same with a value of 1. Maximum visit for those who purchased season ticket is 7 ; while the maximum visit for those who didn't is 3Both distributions have two outlier values each.

B.)

The mean values for the number of visits per patron are statistic. This is because the mean values are derived from a sample.

Statistical values derived from the population are called parameters.

C.)

Day pass = $41

Season pass = $100

In other to pay less by purchasing a day pass :

Number of visits must be ≤ 2

This means total amount paid = $(41 × 2) = $82

Number of patrons who had ≤ 2 visits = 16

Total Number of patrons = 30

Proportion who would have paid less :

Number of patrons who had ≤ 2 visits ÷ Total Number of patrons16 ÷ 30 = 0.533

Therefore, the proportion of patrons who would have paid less is 0.533.

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Related Questions

Cher wraps 40 presents in 2 hours. At that rate, how many presents would she wrap in 15 minutes

Answers

Answer:

5 presents

Step-by-step explanation:

40 presents in 2 hours

20 presents in 1 hour (divide by 2)

20 presents in 60 minutes ( 1 hour is 60 minutes )

5 presents in 15 minutes ( divide by 4)

Find the distance between (-6, -10), (-2,-10).
Round to the nearest tenths place.

Answers

Answer:

the distance between these two points is 4

Step-by-step explanation:

Please help ASAP I WILL MARK AS BRAIN-LIST IF RIGHT

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Answer:

x=29

Step-by-step explanation:

i know this is answer please try and make me brainlist pls.

2√(1.5+√2)-(1.5+√2)​

Answers

Answer:

Step-by-step explanation:

0

Please Help Me Due Today!! Major points!!!
Identify two or more drawbacks/cons of having one-way streets within a grid street system.

Answers

Answer:CASE #1 - Divergent and convergent one-way

residential streets to reduce direct through

routes impacting the neighborhood.

CASE #2 - Alternating one-way streets throughout a

portion of a grid system to gain safety

advantages of one-way operations.

CASE #3 - Creating a one-way couplet by paring a

residential street with a nearby thru street to

create a corridor for thru traffic

Step-by-step explanation:

can i get more context on it ? like is there a picture or anything ??

86[]×[]=2325
or u can directly help me to find the square root of 55225 by division method
plez I'm stuck in this from long

Answers

Answer:

235

Step-by-step explanation:

The square root of 55,225 is = 235

because,

235 x 235 = 55,225

Sarah and her friends picked 3 3/4 pints of blueberries. After they ate some of the blueberries, only 2 1/3 pints remained.

How many pints of blueberries did Sarah and her friends eat?

Enter your answer, as a mixed number in simplest form, in the box.

Answers

Answer:

1 5/12

Step-by-step explanation:

subtract 3 3/4 - 2 1/3 and you get 1 5/12

Answer:

17/12

Step-by-step explanation:

I turned the two fractions into improper fractions and made them have the same denominators. Then I subtracted.

Let F = (2, 3). Find coordinates for three points that are equidistant from F and the y-axis. Write an equation that says P = (x, y) is equidistant from F and the y-axis

Answers

Answer:

The equation that says P is equidistant from F and the y-axis is [tex]P(x,y) =\left(1,\frac{3+y'}{2} \right)[/tex].

(1, 0), (1, 3/2) and (1,6) are three points that are equdistant from F and the y-axis.

Step-by-step explanation:

Let [tex]F(x,y) = (2,3)[/tex] and [tex]R(x,y) =(0, y')[/tex], where [tex]P(x,y)[/tex] is a point that is equidistant from F and the y-axis. The following vectorial expression must be satisfied to get the location of that point:

[tex]F(x,y)-P(x,y) = P(x,y)-R(x,y)[/tex]

[tex]2\cdot P(x,y) = F(x,y)+R(x,y)[/tex]

[tex]P(x,y) = \frac{1}{2}\cdot F(x,y)+\frac{1}{2} \cdot R(x,y)[/tex] (1)

If we know that [tex]F(x,y) = (2,3)[/tex] and [tex]R(x,y) = (0,y')[/tex], then the resulting vectorial equation is:

[tex]P(x,y) = \left(1,\frac{3}{2} \right)+\left(0, \frac{y'}{2}\right)[/tex]

[tex]P(x,y) =\left(1,\frac{3+y'}{2} \right)[/tex]

The equation that says P is equidistant from F and the y-axis is [tex]P(x,y) =\left(1,\frac{3+y'}{2} \right)[/tex].

If we know that [tex]y_{1}' = -3[/tex], [tex]y_{2}' = 0[/tex] and [tex]y_{3}' = 3[/tex], then the coordinates for three points that are equidistant from F and the y-axis:

[tex]P_{1}(x,y) = \left(1,\frac{3+y_{1}'}{2} \right)[/tex]

[tex]P_{1}(x,y) = (1,0)[/tex]

[tex]P_{2}(x,y) = \left(1,\frac{3+y_{2}'}{2} \right)[/tex]

[tex]P_{2}(x,y) = \left(1,\frac{3}{2} \right)[/tex]

[tex]P_{3}(x,y) = \left(1,\frac{3+y_{3}'}{2} \right)[/tex]

[tex]P_{3}(x,y) = \left(1,6 \right)[/tex]

(1, 0), (1, 3/2) and (1,6) are three points that are equdistant from F and the y-axis.

Find two numbers with a sum of 16 and a difference of 4.​

Answers

Answer:

10 and 6

Step-by-step explanation:

Variable equation:

x+y=16

x-y=4

Substitution: eq1-eq2.

2y=12

y=6

x=10.

Hope this helps :D

Step-by-step explanation:

Let the numbers are x and y

[tex]\longrightarrow\sf x+y=16 [/tex]

[tex]\longrightarrow\sf x-y=4[/tex]

add them

[tex]\longrightarrow\sf 2x=20 [/tex]

[tex]\longrightarrow\sf x=10[/tex]

Substitute the value in eq (1)

[tex]\longrightarrow\sf 10+y=16 [/tex]

[tex]\longrightarrow\sf y=6 [/tex]

numbers are 6 and 10

Leon is posting 12 flyers for the science club and 18 for the music club. He wants to make all the locations identical, with the same combination of science club flyers. In addition, he wants to make sure that no flyers are left over. What is the greatest number of locations that Leon can post at?

Answers

Answer:

Leon will post 2 science club flyers in each location

Leon will post 3 music club flyers in each location

The greatest number of locations that Leon can post at is 6 locations

Step-by-step explanation:

Science club flyers = 12

Music club flyers = 18

He wants to make sure that no flyers are left over.

Find the highest common factor of 12 and 18

12 = 1, 2, 3, 4, 6 and 12

18 = 1, 2, 3, 6, 9 and 18

The highest common factor of 12 and 18 is 6

The greatest number of locations that Leon can post at is 6 locations

Science club flyers = 12

= 12 / 6

= 2

Leon will post 2 science club flyers in each location

Music club flyers = 18

= 18 / 6

= 3

Leon will post 3 music club flyers in each location

Leon will post 2 science club flyers in each location

Leon will post 3 music club flyers in each location

The greatest number of locations that Leon can post at is 6 locations

help please brainliest if correct

Answers

Answer is d>-9
Answer is open circle to the right(o—>)

2 (9r + 3) 77 > 10r
10r - (12r +9 )

Answers

Answer:

Your answer is: ↓

[tex]2 (9r + 3) 77 > 10r[/tex]        =         [tex]2=\\9r+3=9r+3\\77>10r=9r+3[/tex]

[tex]10r-(12r+9)\\=2r-9\\[/tex]

If you are trying to solve those equations at one time your answer is: ↓

[tex]2(9r+3)77>10r\\10r-(12r+9)[/tex]         =          [tex]2=\\9r+3=9r+3\\77>10r=9r+3\\10r-(12r+9)=-2r-9[/tex]

Step-by-step explanation:

Hope this helped : )

The diagram below represents changes that take place within the human body. The diagram
represents *
(1 Point)

Answers

Answer:

Dynamic equilibrium

Step-by-step explanation:

Dynamic equilibrium in the human body is achieved when there is an internal control which tends to oppose certain outside forces which could affect the body. It's known to be the ability to detect and respond to stimuli by living organisms. When these stimuli occur, there are feedbacks or responses that are sent or received by the body to maintain stability. This dynamic equilibrium of the internal environment can also be seen as homeostasis.

A right triangle with leg lengths of 4 and 3 units has to be positioned in the coordinate plane to write a coordinate proof. Which set of coordinates would make the prrof easier to complete.

Answers

Answer:

We recommend to use a rectangular set of coordinates to make the proof  easier to complete.

Step-by-step explanation:

A right triangle is a triangle whose leg are orthogonal to each other, then we need to use a set of coordinates whose axes are orthogonal to each other. Hence, we recommend to use a rectangular set of coordinates to make the proof  easier to complete.

what is 1/2 divided by 1/4 please its a test

Answers

Answer:

It would be 2!

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

i did the test i passed

no it is actually (0,4) and (1,8)

Answers

Answer:

umm ok

Step-by-step explanation:

Every Wednesday, Wayne works out for 3/4 of an hour at the fitness center. Every Saturday, he goes to the fitness center again and exercises for 3 times as long. How much time does Wayne spend at the fitness center in all each week?

Answers

3/4 of an hour = 45 minutes
45 * 3 = 135 minutes
135 + 45 = 180 minutes
He spends 180 minutes or 3 hours
Question

Every Wednesday, Wayne works out for 3/4 of an hour at the fitness center. Every Saturday, he goes to the fitness center again and exercises for 3 times as long. How much time does Wayne spend at the fitness center in all each week?

Answer:

3 hours (or 180 minutes)

Step-by-step explanation:

3/4 of an hour = 45 minutes

45 minutes × 3 = 135 minutes or 2 hours and 25 minutes

2 hours and 25 minutes + 45 minutes = 3 hours (180 minutes)

1. Angle BAC = 35° and angle BCA = 20°. What is the measure of angle BAD?
2. What is the measure of angle ABC?

Answers

Answer:

add 35 and 20

Step-by-step explanation:

1) The measure of angle BAD will be 55°.

2) The measure of the angle ABC is 125°.

What is an angle?

The angle is defined as the span between two intersecting lines or surfaces at or close to the point where they meet.

1.) The angle BAD will be calculated by applying alternate exterior angle property.

The angle BAD = 35 + 20 = 55°

2). The angle ABC will be calculated by the triangle angle sum property which is the sum of all the angles of the triangle is 180°.

Angle ABC = 180 - 35 - 20 = 125°

Therefore the measure of angle BAD will be 55°. The measure of the angle ABC is 125°.

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Fie A(-1,2) B(3,-1) C(4,-1)
a)Determinati ecuatia carteziana a dreptei AB
b)lungimea medianei din punctul C a triunghiului ABC
c) Sa se afle coordonatele vectorului AB
Helpp plssss

Answers

do you mind rephrasing it in english

will

Do u mind doing this in English

X-4y=28 in slope intercept form

Answers

Answer:

y = 1/4x - 7

Step-by-step explanation:

Slope intercept form is y=mx+b

To turn the equation into slope intercept you would have to re-arrange it making sure to do the same thing on both sides.

 x - 4y = 28

- x            -x

-4y = -x + 28

Now divide both sides by -4

y = 1/4x -7

If you have any questions let me know. Hopefully this helps and have a great day!

The equation x - 4y = 28 can be written in slope-intercept form as y = (1/4)x - 7.

Given is an equation x - 4y = 28, we need to convert this in slope-intercept form,

To convert the equation x - 4y = 28 into slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept, we need to isolate the variable y.

Starting with the given equation:

x - 4y = 28

We can begin by moving the x term to the other side of the equation:

-4y = -x + 28

Next, we divide both sides of the equation by -4 to isolate y:

y = (-1/-4)x + (28/-4)

Simplifying further:

y = (1/4)x - 7

Now we have the equation in slope-intercept form, with a slope of 1/4 and a y-intercept of -7.

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What is similar about the Hebrew Bible and the Epic of Gilgamesh?

Both books believed in many gods.
Both books were used by the Israelites.
Both books were originally written on papyrus.
Both books use stories as guidance to life.

Answers

Answer:

Both books use stories as guidance to life.

Step-by-step explanation:

The Hebrew Bible teaches that there is one God.

The Epic of Gilgamesh did not originate from the Israelites. It was ancient Mesopotamian.

The Epic of Gilgamesh was not written on papyrus

Therefore the only answer that it can me is the final one.

Answer:

D                   ☝

Step-by-step explanation:

Both books was used as a guidance of life and their beliefs.

Hope this helps!

If a circle has a radius of 2.7 meters, what is its circumference
rounded to the nearest meter?

Answers

Answer:

17 meters

Step-by-step explanation:

the circumference is solved by multiplying the diameter by pi.

the diameter can be found by multiplying the raduis by 2

the diameter is 5.4

5.4 x 3.14

16.956

about 17 meters

Answer:

17[tex]m^{2}[/tex]

Step-by-step explanation:

The cirfumference of a circle when given the radius is 2πr

So pi is 3.14 thus:

2 × 3.14 × 2.7

16.956 [tex]m^{2}[/tex]

When rounding of to the nearest meter check if the number in the tenths side is bigger than 5. It is bigger so we add 1 to the units making it 17[tex]m^{2}[/tex].

HOPE THIS HELPED

What is the equation of a line with a slope of 2 and a y-intercept of -5?

Answers

Answer:

y = 2x - 5

Step-by-step explanation:

y = mx + b

m = slope = 2

b = y-intercept = -2

John has 3 ½ pounds of Skittles. He wants to share them with his friends. He decides to give ¾ pounds of Skittles to each friend. The leftover Skittles he keeps for himself.

Answers

Given :

John has 3 ½ = 7/2 pounds of Skittles.

He decides to give ¾ pounds of Skittles to each friend.

To Find :

How much the leftover Skittles are.

Solution :

Let, his number of bands are x.

So, amount of Skittles left is :

[tex]L= \dfrac{7}{2}-\dfrac{3x}{4}\\\\L = \dfrac{24-3x}{4}[/tex]

Therefore, amount of leftover Skittles are [tex]\dfrac{24-3x}{4}[/tex] pounds if number of friends are x.

Hence, this is the required solution.

What is a single equivalent percentage change for a 40% decrease followed by a 20% decrease

Answers

Answer:

200

Step-by-step explanation:

evaluate the product of 12 and 2 minus the quotient of 45 and 5

Answers

13

The product of 2 numbers is when you multiply them together. 12x2=24

The quotient of 2 numbers is when you divide them. 45/5=9

24-9=13

The product of 12 and 2 minus the quotient of 45 and 5 is 84.

What is Expression?

An expression is combination of variables, numbers and operators.

we need to find  the product of 12 and 2 minus the quotient of 45 and 5

the quotient of 45 and 5, we can calculate it by dividing forty five divided by 5.

45/5 is 9

2 minus the quotient of 45 and 5

So subtract 2 from 9

9-2=7

Now  the product of 12 and 2 minus the quotient of 45 and 5.

12 is multiplied with seven

12×7

84

Hence, the product of 12 and 2 minus the quotient of 45 and 5 is 84.

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please help asap! xoxo

Answers

Answer:

First one obv false

the second one since they all times 3/4 so yes

Please help!!!!!!!!!​

Answers

Answer:

4/9

Step-by-step explanation:

When you square an entire fraction, both the numerator and detonator get squared as well.

Answer:

its too simple see

[tex] (\frac{2}{3} ) {}^{2} = \frac{2 {}^{2} }{3 {}^{2} } = \frac{2 \times 2}{3 \times 3} = \frac{4}{9} \\ [/tex]

hope it help.......(•‿•)

Write the following as a product and as a sum: double the expression 3.6x - 2.5?

Answers

Answer:

7.2x-5

Step-by-step explanation:

2(3.6x-2.5)

=7.2x-5

PLS GIVE BRAINLIEST

what is the product of 2/3 * 3/8?

Answers

Answer:

0.25

Step-by-step explanation:

Answer:

1/4

Step-by-step explanation:

Dude just use a calculator or something.

Specifically,

2/3 = 14 /24

3/8 = 9 /24

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

14+9=23 /24

But still it comes out to .25 as decimal, and .25 equals 1/4

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