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.
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
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 ≤ 2This 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 = 0.533Therefore, the proportion of patrons who would have paid less is 0.533.
Learn more :
https://brainly.com/question/13218948
https://brainly.com/question/24582786
A chef uses 2 tablespoons of olive oil for every 3 tablespoons of butter. How much olive oil is needed for each tablespoon of butter?
Answer: 2/3
Step-by-step explanation: You take the 2 and divided it by 3 but your going to get a long decimal so you can put it into a fraction of 2/3
Answer:
2/3
Step-by-step explanation:
2 divided by 3
Miguel drives 220 meters up a hill that makes an angle of 4o with the horizontal ground. To the nearest tenth of a meter, what horizontal distance has he covered? Only round your answer once.
Answer:
168.5 meters is the horizontal distance covered
Step-by-step explanation:
Here, we simply want to calculate the value of the horizontal distance traveled
This is same as calculating the horizontal component
What we have here will be a right-angled triangle with 220 as the hypotenuse and the horizontal distance as the adjacent
So we make use of cos
cos 40 = x/220
x = 220 cos 40
x = 168.53 meters
To the nearest tenth, this is 168.5 meters
what is the slope of each side of the triangle? the sides are A(-2,4) B(-1,1) C(2,3)
Answer:
The slopes of three sides of triangle are as follows:
AB = -3
BC = 2/3
AC = -1/4
Step-by-step explanation:
The slope is denoted by m and is calculated using the formula
[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]
The given vertices are:
A(-2,4) B(-1,1) C(2,3)
The sides will be:
AB, BC, AC
Let m1 be the slope of AB
Let m2 be the slope of BC
Let m3 be the slope of AC
Now
[tex]Slope\ of\ AB = m_1 = \frac{1-4}{-1+2} = \frac{-3}{1} = -3\\Slope\ of\ BC = m_2 = \frac{3-1}{2+1} = \frac{2}{3}\\Slope\ of\ AC = m_2 = \frac{3-4}{2+2} = \frac{-1}{4} = -\frac{1}{4}[/tex]
Hence,
The slopes of three sides of triangle are as follows:
AB = -3
BC = 2/3
AC = -1/4
Which table represents this function?
y=5x-2
A.
x y
1 4
2 5
3 6
4 7
B.
x y
1 3
2 6
3 9
4 12
C.
x y
1 3
2 5
3 7
4 9
D.
x y
1 3
2 8
3 13
4 18
Answer:
D.
Step-by-step explanation:
3. + (-2) + (-24 )
Please help this question is worth a lot of points ( math question) help please:)
Answer:
[tex] \huge{ \boxed{ \bold{ \sf{ - 26}}}}[/tex]
☄ Question : Simplify[tex] \sf{ + ( - 2) + ( - 24)}[/tex]☄ Step - by - step explanation : [tex] \sf{ + ( - 2) + ( - 24)}[/tex]Remember : [tex] \sf{( + ) \times ( - ) = ( - )} [/tex]
[tex] \dashrightarrow{ \sf{ - 2 - 24}}[/tex]
Remember : The negative integers are always added but posses the negative ( - ) sign.
[tex] \dashrightarrow{ \boxed{ \sf{ - 26}}}[/tex]
--------------------------------------------------------------
† Remember :✒ Sign rules of addition and subtraction of integers :
The positive integers are always added but posses the positive ( + ) sign.The negative integers are always added but posses the negative ( - ) sign.The negative and positive integers are always subtracted but posses the sign of the bigger integer.✒ Sign rules of multiplication and division :
[tex] \sf{( + ) \times ( + ) = ( + )}[/tex][tex] \sf{( + ) \times ( - ) = ( - )}[/tex][tex] \sf{( - ) \times ( + ) = ( - ) }[/tex][tex] \sf{( - ) \times ( - ) = ( + ) }[/tex]▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁
Hope I helped!
Have a wonderful time ! ツ
someone please help...
Answer:
2 1/3
1 4/3
2.333...
233.3...%
Step-by-step explanation:
What is the circumference if we use 3.14
for pi?
Answer:
50.24m
Step-by-step explanation:
3.14 x 16 = 50.24
Willy Wonka has x chocolate bars in his factory. He gives one third of the chocolate bars to Charlie, and eats one half of the remaining chocolate bars. If he is left with 90 chocolate bars in the factory, what is the value of x?
Answer: The value of x= 270
Step-by-step explanation:
Given: Willy Wonka has x chocolate bars in his factory.
Chocolates he gave = [tex]\dfrac13 x[/tex]
Remaining chocolates = [tex]x-\dfrac{x}{3}=\dfrac{2x}{3}[/tex]
Half of the remaining chocolate bars = [tex]\dfrac12\times\dfrac{2x}{3}=\dfrac{x}{3}[/tex]
Now , Chocolate left [tex]x-\dfrac{x}{3}-\dfrac{x}{3}=\dfrac{3x-2x}{3}=\dfrac{x}{3}[/tex]
As per given , [tex]\dfrac x3=90[/tex]
[tex]\Rightarrow\ x=90\times3=270[/tex]
Hence, the value of x= 270
After knee surgery, your trainer tells you to return to your jogging program slowly. He suggests you start by jogging for 14 minutes each day. Each week after, he suggests that you increase your daily jogging time by 7 minutes.
How many groups of 3/4's are in 9
Answer:
3
The three regions of Latin America are:
Answer:
12
Step-by-step explanation:
All you have to do is divide 3/4 into 9
when dividing fractions you do the process (kcf) keep change flip
you keep the first fraction change the division sign to multiplication then flip your 2nd fraction
9/1 divided by 3/4
keep the first fraction
change the division to multiplication
flip the 2nd fraction which is 3/4 flip it and make it 4/3
now you multiply 9/1 * 4/3
9 times 4 is 36
1 times 3 is 3
36/3 is an improper fraction so you can change it to a whole number because 36 divided by 3 is 12.
Decide which type of graph will best represent the fact
that the majority of students like pepperoni pizza.
Answer:
Bar graph
Step-by-step explanation:
Have a good day!
i need help to solve this please
Answer:
hahahaha qiau181e81 8qy28e82
3. LOOK FOR THE KEY WORD!
A music recording company recently released 49 nd Ds. Of
the new CDs, 2/7 are by country artist. How many
country CDs were released by the music company?
A. 14 CDs
C. 63 CDs
B. 35 CDs
D. 18 CDS
А
B
OD
Answer:
A. 14 CDs
Step-by-step explanation:
Divide by 7 to get the unit rate, then multiply by 2 to get your answer
Which statements can be used to justify the fact that two right angles are supplementary? Select two options.
A right angle measures 90°.
If two angles are complementary, the sum of the angles is 90°.
If two angles are supplementary, the sum of the angles is 180°.
A complementary angle is one-half the measure of a supplementary angle.
A supplementary angle is twice the measure of a complementary angle.
Answer:
Which statements can be used to justify the fact that two right angles are supplementary? Select two options.
* A right angle measures 90°.
If two angles are complementary, the sum of the angles is 90°.
* If two angles are supplementary, the sum of the angles is 180°.
A complementary angle is one-half the measure of a supplementary angle.
A supplementary angle is twice the measure of a complementary angle.
Step-by-step explanation:
(A) and (C)
A right angle measures 90°, hence the sum of two right angles is 180° (supplementary)
AnglesAn angle is formed when two lines intersect each other. Two angles are said to be supplementary if their measures add up to 180 degrees while Two angles are called complementary if their measures add up to 90 degrees.
To justify the fact that two right angles are supplementary. Firstly a right angle measures 90°, hence the sum of two right angles is 180° (supplementary)
Find out more on Angles at: https://brainly.com/question/25770607
(4x+8)+(2x+20)=90 help me solve this and draw a diagram
Answer:
x = 31/3
Step-by-step explanation:
4x+8+2x+20=90
4x+2x+8+20=90
4x+2x+8+20=90
6x+28=90
6x+28-28=90-28
6x=62
x = 31/3
Educators in Michigan have been trying to raising math achievement scores for several years without success. Results from the state assessment test given in fourth grade show that 52% of all fourth graders cannot subtract when borrowing from zero (regrouping with zero in the subtrahend). Two new techniques for teaching this concept have been developed by teachers who belong to the Michigan Council of Teachers of Mathematics. It is decided that each technique be used in randomly selected classrooms throughout the state. Sixty third-grade classrooms are selected to try each of the techniques. Results from the state assessment test will then be monitored for each of the next two years to see whether either of the two techniques will be effective in teaching subtraction from zero. Sixty-three percent of the students who were taught with first technique passed the objective. Only 32% of students who were taught with the second technique passed the objective.
1. The population is:______.
A. All fourth graders in Michigan.
B. All third graders in Michigan.
C. The students who were in the 60 third-grade classrooms that used each technique.
D. All students in fourth grade who were taught with one of the techniques.
2. The sample is:______.
A. All fourth graders in Michigan.
B. All third graders in Michigan.
C. The students who were in the 60 third-grade classrooms that used each technique.
D. All students in fourth grade who were taught with one of the techniques.
3. An example of a parameter in the study is:______.
A. 63% of the students taught using technique 1 achieved the objective of subtracting from zero.
B. 32% of the students taught using technique 2 passed the state objective test.
C. 52% of all fourth graders in Michigan cannot subtract from zero.
D. 52% of all fourth graders in Michigan cannot pass the fourth-grade mathematics state assessment test.
4. An example of a statistic in the study is:_______.
a. 63% of the students taught using technique 1 achieved the objective of subtracting from zero.
b. 32% of the students taught using technique 2 passed the state objective test.
c. 52% of all fourth graders in Michigan cannot subtract from zero.
d. both a & b.
e. all of the above.
5. The dependent variable is the:______.
A. Results from the fourth-grade state assessment test in mathematics state assessment.
B. Instruction in math in third grade.
C. Two new techniques for teaching subtraction from zero.
D. Percentage of children who passed the objective subtraction from zero.
6. The independent variable is the:______.
A. Results from the fourth-grade state assessment test in mathematics state assessment.
B. Instruction in math in third grade.
C. Two new techniques for teaching subtraction from zero.
D. Percentage of children who passed the objective subtraction from zero.
Answer:
1. A. All fourth graders in Michigan.
2. C. The students who were in the 60 third-grade classrooms that used each technique.
3. C. 52% of all fourth graders in Michigan cannot subtract from zero.
4. d. both a & b.
5. D. Percentage of children who passed the objective subtraction from zero.
6. C. Two new techniques for teaching subtraction from zero.
Step-by-step explanation:
1. We can make this conclusion since an assessment test often comes after students undergo the required lessons (that is using taught the new techniques, so when they entered the fourth grade the assessment would be taken to determine their performance. Hence, the population of the study is the entire fourth-graders in Michigan.
2. The sample includes only students who made up the "60 third-grade classrooms that used each technique". In other words, they were the subject of the study.
3. Remember, a parameter often refers to numbers that summarize the entire data of a particular population. So we could say, that 52% of all fourth graders in Michigan that cannot subtract from zero make up the parameter.
4. A statistic is usually any resulting values gotten from a sample. Hence, both statements a and b are statistics from the sample.
5. Remember, the dependent variable is a variable that can be influenced by another variable; the independent variable. In other words, the percentage of children who passed the objective subtraction from zero could be affected by the independent variable.
6. The independent variable is the variable that could influence the dependent variable. In other words, the two new techniques for teaching subtraction from zero could influence "the percentage of children who passed the objective subtraction from zero."
Question 1: The least common multiple of 4 and 10 is:
a) 5
b) 20
c) 10
d) 12
Question 2: The LCM of 3, 8 and 12 is:
a) 24
b) 12
c) 36
d) 100
Question 3: Which of the following is NOT true about prime numbers?
a) They have exactly two factors
b) 1 is a factor of every prime number
c) No prime number have its ones digit zero.
d) All prime numbers are odd numbers.
Answer:
Q1. 20
Q2. 24
Q3. D
Step-by-step explanation:
What is the least number of congruency statements needed to be stated in a triangle congruency proof to prove triangles are congruent?
really not sure what the answer is
Answer:
3
Step-by-step explanation:
The answer should be 3? Geometry.
Harper needs to buy some new leotards for gymnastics practice. At the sporting goods store, she finds 2 leotards on sale for $24.80 each. She buys them both and finds out that she saved a total of $22.38. If she saved the same amount on each one, what was the original price of each leotard?
To solve this problem, you will need to do two functions, The first thing you need to do is
[ Select ]
and then
[ Select ]
.
Answer:
34.99
Step-by-step explanation:
22.38 divided by 2= 11.19 24.80 + 11.19= 34.99
hope this helps you :) have a great day and stay safe!
HELP PLZ PLZ PZZZZZZZZZZZ
Answer:
C
Step-by-step explanation:
Answer: Distrubutive Property
Step-by-step explanation:
Distrubutive Property is when you have a number, then you have an equation in parenthesis next to it.
a slope
5 and passes through the point (3, -7)
Answer:
y = 5x - 22 is the answery - intercept is -22.Step-by-step explanation:
Given:Slope: 5
Point: (3, -7)
Unknown:Equation = ? = y = mx + b
y - intercept = ?
Step 1. Input the coordinates into the equation of y = mx + b.
y = 5x + b
y-coordinate = -7
x-coordinate = 3
-7 = 5(3)+b
Step 2. Solve for b.
-7 = 15 + b
-15 -15
b = -33
Step 3. Make the y equation.
y = mx + b
mx = 5x
b = -22
y = 5x - 22
y = 5x - 22 is the answery - intercept is -22.Hope it helped,
Kavitha Banarjee
Andrea ordered a computer on the Internet. The computer cost $1399 plus 6 1/2% sales tax. What was the total amount Andrea paid for her computer?
Answer:
$1,489.94
Step-by-step explanation:
Answer:
1,489.94
Step-by-step explanation:
6.5% = 0.065
1399x 0.065= 90.935
1399 + 90.935 = 1,489.94
A pure green beetle is crossed with a pure brown beetle. All of the offspring are green. Which explanation below, correctly explains this phenomenon?
A.Green and brown are equally expressed so they are both dominant.
B.Green is more common than brown so more green genes are passed on.
C.The gene for green color is dominant over the gene for brown color.
D.The gene for brown color is dominant over the gene for green color.
Answer:
C.
The green color gene is more dominant over the gene for brown color.
Step-by-step explanation:
Whichever gene is dominant is the one that will be applied to the organism.
Simplify 1/3(6x+3) -4(3x-2)
Answer: -10x+9
Step-by-step explanation:
What’s the correct answer?
Answer:
B
Step-by-step explanation:
The question said the person bought a shirt which means 1 and 3 pairs of pants which means multiple but we don’t know how many so we substitute that ? for a x so 15 + 3x =117
Answer:
B
Step-by-step explanation:
It is B because we do not know the price of the three pants but know that the total is 117 and the price of the t-shirt is $15
PLEASE ANSWER ASAP
If f(x)= 5x-8 which of the following is the inverse of f(x)?
A. F^1(x) = x-5/8
B. F^1(x) =x-8/5
C. F^1(x) = x+8/5
D. F^1(x)= x+5/8
Answer:
c
Step-by-step explanation:
For an inverse function you take f(x) and turn that to y then you switch x and y. So you should start off with y= 5x -8. so then you switch x and y so x= 5y - 8. So then you solve. You subtract 8 from both sides and divide by 5 and you get F(x) inverse = x + 8/5
please solve both questions, i'm very confused! thank you
Answer:
Step-by-step explanation:
These types of problems can be solved with substitution.
We just have to translate the word problem into math.
#1:
F = family, I = individual
[tex]F + I = 188\\95F + 42I = 12,507[/tex]
[tex]F = 188-I\\95(188-I) + 42I = 12507\\17860 - 95I + 42I = 12507\\-53I = -5353\\I = 101\\\\F + I = 188\\F + 101 = 188\\F = 87[/tex]
87 Families, 101 individuals
#2:
The perimeter is 899 meters. The perimeter can be defined as:
[tex]2L + 2W = P\\2L + 2W = 899[/tex]
We are also given that
[tex]2L = W - 100\\so\\2L + 2W = 899\\W- 100 + 2W = 899\\3W = 999\\W = 333\\\\L = \frac{W-100}{2} = \frac{333-100}{2} = \frac{233}{2}[/tex]
W = 333 meters, L = 233/2 meters
What is the formula for area of a parallelogram?
Use x for multiplication and / for division is necessary.
Answer:
The area of a polygon is the number of square units inside the polygon. Area is 2-dimensional like a carpet or an area rug.
Step-by-step explanation:
A parallelogram is a 4-sided shape formed by two pairs of parallel lines. Opposite sides are equal in length and opposite angles are equal in measure. To find the area of a parallelogram, multiply the base by the height. The formula is:
A = B * H where B is the base, H is the height, and * means multiply.
The base and height of a parallelogram must be perpendicular. However, the lateral sides of a parallelogram are not perpendicular to the base. Thus, a dotted line is drawn to represent the height. Let's look at some examples involving the area of a parallelogram.
represent the following sentence as an algebraic expression , where '' a number '' is the letter x . you do not need to simplify
7 lesss than the product of 5 and a number
Answer:
5x-7
Step-by-step explanation:
5x-7
Product=multiply so 5x and less than is minus so 5x-7.
Hope this helps :D