According to the 2020 report to Congress on the prevention and reduction of underage drinking, approximately 16.8% of individuals in the United States, between the ages of 12 and 20, reported consuming alcohol in the past month when being surveyed.
The report is based on data from the 2019 National Survey on Drug Use and Health (NSDUH), which is an annual survey conducted by the Substance Abuse and Mental Health Services Administration (SAMHSA). There are approximately 16.8% of individuals in the United States consume alcohol in the past month when being surveyed, between the ages of 12 and 20.
It is important to note that consuming alcohol before the age of 21 is illegal in the United States, and underage drinking can lead to a variety of negative consequences, including impaired driving, risky sexual behavior, and increased risk of alcohol use disorder later in life.
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My sister is 11 years old. My brother says that his age minus nineteen is equal to my sister's age. How old is my brother? Enter an equation, using b as your variable, to find how old my brother is. The equation is My brother is years old.
Answer:
He would be 28
Step-by-step explanation:
You would add the 11 plus the 17 and you should get 28.To check your answer, you would now subtract the 17 from the 28.Your answer should be 11.artificial turf is being used to cover a playing field. if the field is rectangular with a length of 120 yd and a width of 80 yd, how much artificial turf must be purchased to cover the field?
You need to purchase 9,600 square yards of artificial turf to cover the playing field.
To find out how much artificial turf must be purchased to cover the field, you need to calculate the area of the rectangular field. Here's a step-by-step explanation:
1. Note the length and width of the field: Length = 120 yards, Width = 80 yards.
2. Calculate the area by multiplying the length and width: Area = Length × Width.
3. Plug in the given dimensions: Area = 120 yd × 80 yd.
4. Calculate the result: Area = 9,600 square yards.
Therefore, you need to purchase 9,600 square yards of artificial turf to cover the playing field.
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8. true or false: the population parameter will always be between the lower and upper bounds of the confidence interval. 9. true or false: the sample statistic will always be between the lower and upper bounds of the confidence interval.
The population parameter will always be between lower and upper bounds of the confidence interval. - True, whereas sample statistic will always be between lower and upper bounds of the confidence interval - False
With a certain degree of certainty, the population parameter is anticipated to lie between the lower and higher limits of the confidence interval. The confidence interval, which gives an interval estimate of the unidentified population parameter, is created based on the sample data. The interval's level of confidence shows the amount of ambiguity we are prepared to accept when determining the actual population parameter.
The confidence interval's lower and upper limits may or may not be met by the sample statistic used to compute them. A single point estimate, the sample figure is susceptible to sampling error. On the other hand, based on the observed sample data and the selected degree of confidence, the confidence interval is a range of values that we can be fairly confident includes the true population parameter.
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Which of the following errors did you include in
your description?
Raul should have first removed the innermost
grouping symbols, the parentheses, by
distributing 7h.
He should not have added like terms before
multiplying.
Raul only multiplied the 10h times the 2 and
forgot to multiply it through the quantity to the
-h.
DONE
The error you include in is: You only multiplied the 10h times the 2 and forgot to multiply it through the quantity to the -h.
What are the errors?
1. Raul should have first removed the innermost grouping symbols, the parentheses, by distributing 7h: In the original problem, Raul added the terms inside the parentheses before multiplying them by 7h, which is incorrect. To simplify the expression correctly, Raul should have first distributed 7h to both terms inside the parentheses, and then combined like terms.
2. He should not have added like terms before multiplying: Raul also made the mistake of adding the like terms 10h and -2h before multiplying them by 7h. It is important to perform all multiplication and division operations before addition and subtraction operations.
3. Raul only multiplied the 10h times the 2 and forgot to multiply it through the quantity to the -h: In the original problem, Raul correctly multiplied 7h by -2h to get -14h², but made the mistake of only multiplying 10h by 2, rather than multiplying the entire quantity (2h - 5) by 10h. This mistake led to the incorrect term 20h in Raul's final answer.
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a company employs eight people and plans to select a group of five of these employees to receive advanced training. how many ways can the group of five employees be selected?
There are 56 ways to select a group of five employees from the eight employees in the company for advanced training.
To select a group of five employees from a company that employs eight people, you can use the concept of combinations.
A combination is the selection of items from a larger set, where the order of items does not matter.
In this case, we want to choose 5 employees from a group of 8.
The formula for calculating combinations is:
C(n, k) = n! / (k!(n-k)!)
Where n is the total number of items, k is the number of items you want to select, and ! denotes the factorial.
So, for this problem:
n = 8 (total employees)
k = 5 (employees to be selected)
Now, we can plug these values into the formula:
C(8, 5) = 8! / (5!(8-5)!)
C(8, 5) = 8! / (5!3!)
C(8, 5) = (8 × 7 × 6 × 5 × 4 × 3 × 2 × 1) / ((5 × 4 × 3 × 2 × 1)(3 × 2 × 1))
C(8, 5) = (8 × 7 × 6) / (3 × 2 × 1)
C(8, 5) = (336) / (6)
C(8, 5) = 56
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solve the following initial-value problems starting from y0 = 6 . dy/d t = − 6y a. y = ____
at what time does y increase to 100 or drop to 1? round your answer to four decimal places.
b. t = ____
y increases to 100 after approximately 1.9611 time units and drops to 1 after approximately 0.1155 time units. Rounded to four decimal places, the answers are:
a. y = 100 at t = 1.9611
b. y = 1 at t = 0.1155
This is a first-order differential equation with a variable separable form:
dy/y = -6 dt
Integrating both sides, we get:
ln|y| = -6t + C
where C is the constant of integration. Solving for y, we get:
y = Ce^(-6t)
Using the initial condition y(0) = y0 = 6, we get:
6 = Ce^(0)
C = 6
Therefore, the equation for y is:
y = 6e^(-6t)
To find the time at which y increases to 100 or drops to 1, we solve for t:
For y = 100:
100 = 6e^(-6t)
e^(-6t) = 100/6 = 50/3
-6t = ln(50/3)
t = -ln(50/3)/6
For y = 1:
1 = 6e^(-6t)
e^(-6t) = 1/6
-6t = ln(1/6) = -ln(6)
t = ln(6)/6
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jordan's mom bought 7 77 packs of juice boxes for the team to drink after practice. each pack had 8 88 boxes of juice. after the team drank as much juice as they wanted, there were 29 2929 boxes of juice remaining. the team only opened each pack after they drank all the boxes from the pack before. how many packs of juice did the team open? packs
The team opened 4 packs of juice.
How to find opened packs?To find out how many packs of juice the team opened, follow these steps:
1. First, find the total number of juice boxes bought by multiplying the number of packs by the number of boxes in each pack: 7 packs × 8 boxes = 56 boxes.
2. Next, subtract the remaining boxes of juice to find out how many boxes the team drank: 56 boxes - 29 boxes = 27 boxes.
3. Finally, divide the number of boxes the team drank by the number of boxes in each pack to find the number of packs they opened: 27 boxes ÷ 8 boxes = 3.375 packs.
Since they only opened each pack after they drank all the boxes from the pack before, the team opened 4 packs of juice.
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true or false. determine if the following statements are true or false, and explain your reasoning. if false, state how it could be corrected. a. if a given value (for example, the null hypothesized value of a parameter) is within a 95% confidence interval, it will also be within a 99% confidence interval. b. decreasing the significance level ($\alpha$) will increase the probability of making a type 1 error. c. suppose the null hypothesis is p
Answer:
True
Step-by-step explanation:
The following parts can be answered by the concept of confidence interval.
a. True
b. False
c. Incomplete statement, please provide complete statement.
a. True. A 95% confidence interval includes the range of values that are consistent with the observed data at the 95% level of confidence. Since a 99% confidence interval is wider than a 95% confidence interval, it must also include the null hypothesized value within it.
b. False. Decreasing the significance level ($\alpha$) reduces the probability of making a type 1 error, as it sets a higher threshold for rejecting the null hypothesis.
c. The statement is incomplete, and therefore cannot be evaluated.
Therefore, if a given value is within a 95% confidence interval, it will also be within a 99% confidence interval. However, decreasing the significance level ($\alpha$) reduces the probability of making a type 1 error. It is important to provide a complete statement for proper evaluation
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1/2(x-3)(x+5) Find the vertex and write it as an ordered pair
The vertex of the parabola is (-2, -3/2).
First, let's expand the given expression:
[tex]1/2(x-3)(x+5) = 1/2(x^2 + 2x - 15)[/tex]
Now, we can see that the coefficient of[tex]x^2[/tex] is positive, which means the parabola opens upwards.
To find the vertex, we can use the formula:
Vertex = (-b/2a, f(-b/2a))
where a = 1/2, b = 2, and f(x) =[tex]1/2(x^2 + 2x - 15).[/tex]
Substituting the values, we get:
Vertex = (-2/(21/2), f(-2/(21/2))) = (-2, f(-2))
To find f(-2), we can substitute x = -2 in the expression for f(x):
f(x) = [tex]1/2(x^2 + 2x - 15)[/tex]
f(-2) = [tex]1/2((-2)^2 + 2(-2) - 15)[/tex]
= 1/2(-3)
= -3/2
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There are many cones with a radius of 7 units the equation v= 6pi h relates the height of the cone in units and the volume of the cone in cubic units complete the table using 3.14 for pi
Completed table is shown below. With this h number, we can calculate the cone's volume as V = (1/3)(72)h[tex]\pi[/tex] = 49/3h[tex]\pi[/tex] = 6[tex]\pi[/tex]h = 131.88.
To complete the table relating the height and volume of cones with a radius of 7 units using the equation[tex]v = 6\pi h[/tex], we need to substitute the radius value of 7 units into the formula for volume and then solve for height.
Height (h) Volume (V)
1 131.88
2 263.76
3 395.64
4 527.52
5 659.4
To obtain volume for each height, we plug in radius value of 7 units into the formula for the volume of a cone, which is given by [tex]V = (1/3)\pi r^{2} h[/tex]. This gives us [tex]V = (1/3)\pi (7^{2} )h = 49/3\pi h[/tex],
which simplifies to V = 16.33h. Then we substitute this expression for V into given equation [tex]v = 6\pi h[/tex] to obtain [tex]16.33h = 6\pi h[/tex], and solve for h to obtain h = 6.56.
Using this value of h, we can obtain the volume of the cone as [tex]V = (1/3)\pi (7x^{2} )h = \\49/3\pi h = \\6\pi h = \\131.88[/tex]
After that, by multiplying the value of h by 16.33 and rounding to two decimal places, we can determine the volumes for the other heights in the table.
Therefore, the completed table is as shown above.
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the source, format, assumptions and constraints, and other facts concerning certain data are called .
The source, format, assumptions and constraints, and other facts concerning certain data are collectively called 'metadata'.
Metadata provides information about data that helps users understand and use it effectively.
Some examples of metadata include,
The date and time the data was collected.
The file format of the data.
The units of measurement used.
And any assumptions or limitations that were made during the collection or analysis of the data.
By providing metadata along with the data, users can better understand the context and quality of the data.
This can help them make more accurate and informed decisions.
Metadata is classified into three types which are known as descriptive, administrative, and structural.
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Can someone help me ASAP it’s due tomorrow. I will give brainliest if it’s all done correctly. Show work.
Answer:
Step-by-step explanation:
[tex]P(\text{even})=\frac{3}{6} =\frac{1}{2}[/tex]
[tex]P(5)=\frac{1}{6}[/tex]
The events are on different rolls which means they are mutually exclusive, so we multiply them:
[tex]P(\text{even on roll 1, a 5 on roll 2})=\frac{1}{2} \times \frac{1}{6} =\frac{1}{12}[/tex]
Answer:
the probability of getting even number on first roll and 5 in second roll is 1/12
Step-by-step explanation:
EREGENT PLEASE HURRY DONT LIE
1)Write down the quadrants of given points ? (-7,-4)
2) IF X-1/4 =4, prove that (x+1/x)² =20
Answer:
1)The given point (-7,-4) is located in the third quadrant of the coordinate plane.We start with the given equation:X - 1/4 = 4Adding 1/4 to both sides, we get:X = 4 + 1/4X = 17/4Now, we substitute this value of X in the expression to be proved:(x + 1/x)² = [(17/4) + 1/(17/4)]²= [(17/4) + 4/17]²= [(289 + 16)/(4 x 17²)]²= (305/289)²= 20.06 (rounded to two decimal places)Therefore, we have proved that (x + 1/x)² = 20.
Step-by-step explanation:
(;
Note that A, B, C, and D are single decimal digits (from 0 through 9), although they don't have to be
unique (e.g., B and D could be equal). AB is then a two-digit decimal integer, BA is its reverse, and
CDC is a three-digit decimal number
A and B can have values that would give a sum of 11 when they are added together, such as (2,9), (3,8), (4,7), and (5,6).
Here, it is evident that since
AB+ BA= CDC
the hundreds and ones digit of the answer are equal and since we are talking about 2 digit numbers, hundreds place C can only be 1 since it is obtained from carry of the tens place (B+A) and the maximum carry that a 2 digit number can give is 1 (99+99 gives carry 1).
Also, D must be equal to C+1 since it is obtained by B+A and carry of ones place.
C=A+B= 1
D=C+1= 2
The possible values of A and B can be the ones that result in 11 when added, i.e. (2,9),(3,8),(4,7) and (5,6).
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Complete question is attached below
The ratio of girls to boys on team 6-5 is 4:5. If there are 99 students, how many boys are there
Answer:
There are 55 boys.
Step-by-step explanation:
The ratio of
girls: boys:total
4 5 4+5
4 5 9
The total is 99
To get from 9 to 99, we multiply by 11.
girls: boys:total
4*11 5*11 9*11
44 55 99
There are 55 boys.
How is decomposing a composite
figure to find its area similar to using a net to find the
surface area of a trapezoidal prism? Explain.
I
The processes of decomposing a composite figure and using a net to find the surface area of a trapezoidal prism both require a solid understanding of these basic geometric concepts.
What is the surface area of a trapezoidal prism?Decomposing a composite figure involves breaking it down into simpler shapes whose individual areas can be calculated, and then adding them up to find the total area of the figure.
Similarly, using a net to find the surface area of a trapezoidal prism involves unfolding or flattening the 3D shape into 2D shapes that can be measured and the entire surface area by adding them all together.
Additionally, both methods rely on basic geometric principles and formulas, such as the area of a rectangle, triangle, or trapezoid.
Therefore, the process of decomposing a composite figure and using a net to find the surface area of a trapezoidal prism both require a solid understanding of these basic geometric concepts.
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The given question is incomplete. the complete question is given below:
Higher ordered thinking How is decomposing a composite
figure to find its area similar to using a net to find the
surface area of a trapezoidal prism? Explain.
I
O A. (x, y) - (x - 2, y+ 6)
O B. (x, y) - (x+ 2, y - 6)
O C. (x, y) - (x - 6, y + 2)
O D. (x, y) - (x+ 6, y - 2)
The answer is C. (x,y) - (x - 6, y + 2)
The rectangular
base of a
20ft tall storage unit is shown
below. Which statement is
FALSE?
a)
b)
c)
The area of the
base is 30ft²
The area is 26ft²
The perimeter is
26ft
d) The perimeter is
(3+3)+(10+10)
MD
Th
3ft
Oft
Answer:
The statement that is FALSE is b) "The area is 26ft²".
the purpose of sampling is to select a set of elements from a population so that the descriptions of the sample accurately portray the population. this is best achieved through the use of
The purpose of random sampling is to select a set of items from a population such that the sample description accurately represents the population.
Random sampling is a type of sampling in which the researcher randomly selects a subset of participants from a population. Each member of the population has an equal chance of being selected. Data is then collected from as high a percentage of this random subset as possible. Simple random sampling selects a smaller group (sample) from a larger group of the total number of participants (population).
Samples are at the heart of survey research. It is often called the population microcosm, and the process of drawing a sample should maximize the similarity of the sample to the population under study. Sampling is therefore the selection of a set of elements from a population whose description accurately describes the parameters of the total population from which the sample is selected.
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Match the term on the left with the equivalent term on the right.
(x)(2)
x/2
5+x
(1/5)x
↑
(x)/5
2x
(1/2)x
5/x
By answering the presented question, we may conclude that the value of the equation is 5/x --> x/5 or (1/5)x
What is equation?In mathematics, an equation is a statement that states the equivalence of two expressions. An equation is made up of two sides separated by an algebraic equation (=).
For example, the argument contends that the phrase "2x Plus 3" equals the number "9." The purpose of equation solving is to identify the value or values of the variable(s) that will make the equation true.
Simple or complicated equations, regular or nonlinear, with one or more components are all possible. For example, in the equation [tex]"x2 + 2x - 3 = 0,"[/tex] the variable x is raised to the second power. Lines are utilized in many areas of mathematics, including algebra, calculus, and geometry.
[tex](x)(2) -- > 2x[/tex]
[tex]x/2 -- > 0.5x or (1/2)x[/tex]
[tex]5+x -- > x+5[/tex]
[tex](1/5)x -- > x/5 or (x \times 0.2)[/tex]
[tex](x)/5 -- > 0.2x or (1/5)x[/tex]
2x --> same as (x)(2)
[tex](1/2)x -- > 0.5x or x/2[/tex]
Therefore, [tex]5/x -- > x/5 or (1/5)x[/tex]
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The citizens of a city were asked to choose their favorite pet. The circle graph shows how the citizens answered. If 95,000 citizens answered the question, how many chose
Snakes or Dogs?
fish 13%
dogs 26%
birds 21%
cats 23%
snakes 10%
hamsters 7%
First, we need to calculate the percentage of citizens who chose either Snakes or Dogs.
The percentage of citizens who chose Dogs is 26%, which is equivalent to 0.26 as a decimal.
The percentage of citizens who chose Snakes is 10%, which is equivalent to 0.10 as a decimal.
To find the number of citizens who chose either Snakes or Dogs, we need to multiply the total number of citizens by the combined percentage of Snakes and Dogs:
0.26 + 0.10 = 0.36
So the combined percentage of Snakes and Dogs is 36%.
To find the number of citizens who chose Snakes or Dogs, we can multiply the total number of citizens by this percentage:
0.36 x 95,000 = 34,200
you run a one-sample z test (z.test) in excel and get the following result: 0.7326 what does the output of 0.7326 represent? group of answer choices the sample value the critical value the one-tailed probability value the significance level
The output of 0.7326 represents the test statistic (Z-score) computed from the 1-sample Z-test in Excel.
It tells you how many standard deviations the sample mean is from the population mean under the null hypothesis.
A test statistic (Z-score) is a numerical value used in statistical hypothesis testing to assess the evidence against the null hypothesis.
A test statistic measures the difference between a sample statistic (eg sample mean) and the corresponding population parameter (eg population mean) assuming the null hypothesis is true.
For the Z-test, the test statistic is computed as
z = (x - μ) / (σ / √n)
where x = sample mean,
μ = population mean,
σ= population standard deviation,
and n = sample size.
The resulting Z-score indicates how many standard deviations the sample mean is from the population mean, assuming the null hypothesis is true.
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CAN SOMEONE PLEASE HELP!!!!
A family is filling up a circular pool. The pool has a depth of 6 feet and a diameter of 10 feet. If there are approximately 7.48 gallons of water in a cubic foot, how many gallons of water will it take to fill up the pool completely? Use π = 3.14 and round to the nearest gallon.
63 gallons
471 gallons
1,409 gallons
3,523 gallons
Answer:
The volume of a cylinder is given by the formula V = πr^2h, where r is the radius of the base and h is the height. Since the pool is a cylinder with a diameter of 10 feet, the radius is 10/2 = 5 feet, and the height is 6 feet. Therefore, the volume of the pool is:
V = πr^2h
V = π(5^2)(6)
V = 471 cubic feet
Multiplying the volume by the conversion factor of 7.48 gallons per cubic foot gives the number of gallons of water required to fill the pool completely:
471 cubic feet x 7.48 gallons per cubic foot ≈ 3,523 gallons
Rounding to the nearest gallon, the answer is 3,523 gallons. Therefore, it will take approximately 3,523 gallons of water to fill up the pool completely.
In a circle dance, everyone is evenly spaced around a circle and has
a number in the order 1, 2, 3, 4, 5, ... , and so on. The dancer with
number 15 is directly opposite dancer number 3. How many dancers
are in the circle?
In a circle dance, there are 17 dancers in the circle.
What is circle dance?Circle dance is a type of folk dance that involves people holding hands and dancing in a circular formation. The dancers move around in a circle, following a set of steps or patterns, and the dance may include turns, hops, and other movements.
According to question:In a circle dance, the total number of dancers is equal to the sum of the dancers on opposite sides of the circle.
Let's assume there are "x" dancers in the circle.
Since dancer 15 is directly opposite dancer 3, there are (x - 1) dancers between them.
Therefore, the sum of the dancers on opposite sides of the circle is (15 + 3) + (x - 1) = (x + 17).
Since the dancers are evenly spaced around the circle, the sum of the dancers on opposite sides of the circle is equal to the total number of dancers in the circle.
So we can write:
x + 17 = x
Solving for x, we get:
x = 17
Therefore, there are 17 dancers in the circle.
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The point (4, -12) is on a circle with center (-2,-4). Write the standard equation of the circle.
(x ?)² + (y ?)² =
the standard equation of the circle is (x + 2)² + (y + 4)²= 100 . we can use The standard equation of a circle with center (h,k) and radius r is:
(x - h)² + (y - k)² = r²
what is standard equation of circle ?
The standard equation of a circle with center (h,k) and radius r where (x,y) are the coordinates of any point on the circle. This equation represents all the points in the plane that are a fixed distance (the radius r) from the center of the circle (h,k).
In the given question,
The standard equation of a circle with center (h,k) and radius r is:
(x - h)² + (y - k)² = r²
In this case, we know that the point (4, -12) is on a circle with center (-2, -4). We also know that the radius of the circle is the distance between the center and the point on the circle, which we can find using the distance formula:
r = √((4 - (-2))² + (-12 - (-4))²)
r = √(6² + (-8)²)
r = √(100)
r = 10
So the equation of the circle is:
(x - (-2))² + (y - (-4))² = 10²
(x + 2)² + (y + 4)² = 100
Therefore, the standard equation of the circle is:
(x + 2)² + (y + 4)²= 100
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PLEASE HELP I NEED HELP
Question 1
(Comparing Data LC)
The histograms display the frequency of temperatures in two different locations in a 30-day period.
A graph with the x-axis labeled Temperature in Degrees, with intervals 60 to 69, 70 to 79, 80 to 89, 90 to 99, 100 to 109, 110 to 119. The y-axis is labeled Frequency and begins at 0 with tick marks every one unit up to 14. A shaded bar stops at 10 above 60 to 69, at 9 above 70 to 79, at 5 above 80 to 89, at 4 above 90 to 99, and at 2 above 100 to 109. There is no shaded bar above 110 to 119. The graph is titled Temps in Sunny Town.
A graph with the x-axis labeled Temperature in Degrees, with intervals 60 to 69, 70 to 79, 80 to 89, 90 to 99, 100 to 109, 110 to 119. The y-axis is labeled Frequency and begins at 0 with tick marks every one unit up to 16. A shaded bar stops at 2 above 60 to 69, at 4 above 70 to 79, at 12 above 80 to 89, at 6 above 90 to 99, at 4 above 100 to 109, and at 2 above 110 to 119. The graph is titled Temps in Desert Landing.
When comparing the data, which measure of variability should be used for both sets of data to determine the location with the most consistent temperature?
IQR, because Sunny Town is skewed
IQR, because Desert Landing is symmetric
Range, because Sunny Town is skewed
Range, because Desert Landing is symmetric
Question 2
(Comparing Data MC)
The data given represents the number of gallons of coffee sold per hour at two different coffee shops.
Coffee Ground
1.5 20 3.5
12 2 5
11 7 2.5
9.5 3 5
Wide Awake
2.5 10 4
18 4 3
3 6.5 15
6 5 2.5
Compare the data and use the correct measure of center to determine which shop typically sells the most amount of coffee per hour. Explain.
Wide Awake, with a median value of 4.5 gallons
Wide Awake, with a mean value of about 4.5 gallons
Coffee Ground, with a mean value of about 5 gallons
Coffee Ground, with a median value of 5 gallons
Question 3
The box plots display measures from data collected when 20 people were asked about their wait time at a drive-thru restaurant window.
A horizontal line starting at 0, with tick marks every one-half unit up to 32. The line is labeled Wait Time In Minutes. The box extends from 8.5 to 15.5 on the number line. A line in the box is at 12. The lines outside the box end at 3 and 27. The graph is titled Super Fast Food.
A horizontal line starting at 0, with tick marks every one-half unit up to 32. The line is labeled Wait Time In Minutes. The box extends from 9.5 to 24 on the number line. A line in the box is at 15.5. The lines outside the box end at 2 and 30. The graph is titled Burger Quick.
Which drive-thru is able to estimate their wait time more consistently and why?
Burger Quick, because it has a smaller IQR
Burger Quick, because it has a smaller range
Super Fast Food, because it has a smaller IQR
Super Fast Food, because it has a smaller range
Question 4
The line plots represent data collected on the travel times to school from two groups of 15 students.
A horizontal line starting at 0, with tick marks every two units up to 28. The line is labeled Minutes Traveled. There is one dot above 4,6,14, and 28. There are two dots above 10, 12, 18, and 22. There are three dots above 16. The graph is titled Bus 47 Travel Times.
A horizontal line starting at 0, with tick marks every two units up to 28. The line is labeled Minutes Traveled. There is one dot above 10,16,20, and 28. There are two dots above 8 and 14. There are three dots above18. There are four dots above 12. The graph is titled Bus 14 Travel Times.
Compare the data and use the correct measure of variability to determine which bus is the most consistent. Explain your answer.
Bus 47, with an IQR of 8
Bus 14, with an IQR of 6
Bus 47, with a range of 8
Bus 14, with a range of 6
Question 5
The data given represents the height of basketball players, in inches, on two different girls' teams.
Allstars
73 62 60
63 72 65
69 68 71
66 70 67
60 70 71
Champs
62 69 65
68 60 70
70 58 67
66 75 70
69 67 60
Compare the data and use the correct measure of center to determine which team typically has the tallest players. Explain your answer.
The Allstars, with a mean of about 67.1 inches
The Champs, with a mean of about 66.4 inches
The Allstars, with a median of about 68 inches
The Champs, with a median of about 67 inches
Question 6
The stem-and-leaf plot displays data collected on the size of 15 classes at two different schools.
Bay Side School Seaside School
8, 6, 5 0 5, 8
8, 6, 5, 4, 2, 0 1 0, 1, 2, 5, 6, 8
5, 3, 2, 0, 0 2 5, 5, 7, 7, 8
3 0, 6
2 4
Key: 2 | 1 | 0 means 12 for Bay Side and 10 for Seaside
Part A: Calculate the measures of center. Show all work. (2 points)
Part B: Calculate the measures of variability. Show all work. (1 point)
Part C: If you are interested in a smaller class size, which school is a better choice for you? Explain your reasoning. (1 point)
1. IQR, because Sunny Town is skewed 2. Both coffee shops typically sell the same amount of coffee per hour. 3. Burger Quick is able to estimate their wait time more consistently than Super Fast Food, since it has a smaller IQR.
What is IQR?The middle 50% of a dataset are represented by the interquartile range (IQR), a measure of variability. It is computed as IQR = Q3 - Q1, where IQR is the difference between the first and third quartiles (Q1 and Q3). The dataset is divided into four equal portions by quartiles, with Q1 standing for the 25th percentile and Q3 for the 75th percentile. The IQR is an effective tool for comparing the spread of datasets since it is a robust measure of variability that is unaffected by extreme values or skewness.
To determine the location with the most consistent temperature use IQR, since it is the best way to compare the consistency of temperature readings between the two sites.
2. The mean is:
(1.5 + 20 + 3.5 + 12 + 2 + 5 + 11 + 7 + 2.5 + 9.5 + 3 + 5) / 12 = 6.25
Arrange the values in order: 1.5, 2, 3, 3.5, 5, 7, 9.5, 11, 12, 20
The middle two values are 7 and 9.5.
The median is (7 + 9.5) / 2 = 8.25
Thus, we can conclude that both coffee shops typically sell the same amount of coffee per hour.
3. Super Fast Food:
IQR of 7.5 (15.5 - 8.5) and a range of 24 (27 - 3)
Burger Quick:
IQR of 15 (24 - 9.5) and a range of 28 (30 - 2).
Burger Quick is able to estimate their wait time more consistently
than Super Fast Food, since it has a smaller IQR.
4. Bus 47 :
IQR of 8 (16 - 8) and a range of 24 (28 - 4)
Bus 14:
IQR of 6 (18 - 12) and a range of 18 (28 - 10).
Hence, Bus 14 is the most consistent, since it has a smaller IQR.
5. For the Allstars, the mean is:
(73 + 62 + 60 + 63 + 72 + 65 + 69 + 68 + 71 + 66 + 70 + 67 + 60 + 70 + 71) / 15 = 67.
The Champs, with a median of about 67 inches
6. For the given data:
Median = (5 + 5) / 2 = 5
The measures of center for Bay Side School and Seaside School are both 5.
B: Range = 8 - 0 = 8.
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Order the numbers from least to greatest
Arranging the numbers in the given terms we get, -√30 , ∛-89, ∛43, 5.2, √71, 15-√2, 96.
What is number?A number is an arithmetic value which is used for representing the quantity and used for various calculations. A written symbol like “7” which represents a number is also known as numerals. For a number which contains more than one term then each term is called the digit of the number.
Then given numbers are,
5.2, -√30, ∛43, √71, ∛-89, 96, 15-√2
The first number is 5.2
The second number is -√30= -5.477
The third number is ∛43 = 3.503
The fourth number is √71= 8.426
The fifth b is ∛-89= -4.46474 [cube root of an imaginary number]
The sixth number is 96
The seventh number is 15-√2=13.5858
Arranging the numbers from least to greatest we get,
-5.477
-4.46474
3.503
5.2
8.426
13.5858
96
Hence, arranging the numbers in the given terms we get,
-√30 , ∛-89, ∛43, 5.2, √71, 15-√2, 96.
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the boxplot below display the amount of time your previous classmates study in hours in a week (from your class survey!). what is true about the boxplot? select all that apply.
The specific boxplot provided to determine which of these characteristics are true for that particular dataset.
The student question is asking about the characteristics of a boxplot
displaying the amount of time previous
classmates studied in hours per week. Since there is no boxplot provided, I will give you a general overview of what
could be true about a boxplot:
1. The boxplot shows the median, which is the middle value of the dataset.
2. The boxplot displays the lower quartile (Q1) and the upper quartile (Q3), representing the 25th and 75th percentiles,
respectively.
3. The boxplot can help identify the range, which is the difference between the minimum and maximum values.
4. The boxplot can help detect potential outliers in the data.
5. The boxplot provides a visual representation of the data's overall distribution and spread.
Remember that you need to look at the specific boxplot provided to determine which of these characteristics are true
for that particular dataset.
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The original price of a jar of paint is $1.20.The store manager gets a 10% discount for 50 jars of paint. How much does the store manager pay for 50 jars of paint?
Step-by-step explanation:
10 % off means you pay 90 %
the price of 50 jars times 90 % is:
50 * 1.20 * .90 = $ 54.00