The table below shows data from a survey about the amount of time students spend doing homework each week. The students were either in college or in high school:
High Low Q1 Q3 IQR Median Mean σ
College 20 6 8 18 10 14 13.3 5.2
High School 20 3 5.5 16 10.5 11 11 5.4
Which of the choices below best describes how to measure the spread of this data? (2 points)
Both spreads are best described with the standard deviation.
Both spreads are best described with the IQR.
The college spread is best described by the standard deviation. The high school spread is best described by the IQR.
The college spread is best described by the IQR. The high school spread is best described by the standard deviation.
Answers
Answer:
I dont understand
Step-by-step explanation:
Related Questions
The perimeter of a rectangle is 110, and the width is 4 times
the length. What is the width?
O 33
O 44
O 66
O 55
Answers
Answer:
44
Step-by-step explanation:
come on now.
the perimeter is
2×length + 2×width = 110
width = 4×length
so, we use the second equation in the first :
2×length + 2×(4×length) = 110
2×length + 8×length = 110
10×length = 110
length = 110/10 = 11
width = 4×length = 4×11 = 44
\(4x^{3} + x8x^{2}\)
Evaluate
Answers
Answer:
12x^3
Step-by-step explanation:
they're trying to confuse you on purpose, but x*8x^2 is the same thing as 8x^3
just add them and you're set
Two independent events, A and B, are such that P(A) = 0. 2 P(A U B) = 0. 8
(a) (i) Find P
(B) (ii) Find P(ANB)
b) State, with a reason, whether or not the events A and B are mutually exclusive.
Answers
(A) If Two independent events, A and B, are such that P(A) = 0. 2 P(A U B) = 0. 8, then probability P(B) = 5/8.
What is probability?The possibility of the result of any random event is referred to as probability. This term refers to determining how likely an event is to occur. What are the chances of getting a head when we toss a coin in the air, for instance? The quantity of outcomes depends on the response to this question. Here, the outcome could be either head or tail. Thus, there is a 50% chance that the result will be a head.
The probability serves as a gauge for the likelihood that an event will occur. It gauges how likely an event is to occur. The probability equation is given by;
P(E) = Number of Favourable Outcomes/Number of total outcomes
We know that
P(A∪B) = P(A) + P(B) - P(A∩B)
P(A∪B) = P(A) + P(B) - P(A).P(B)
0.8 = 0.2 + P(B) - 0.2.P(B)
0.5 = P(B) - 0.2.P(B)
0.5 = 0.8.P(B)
P(B) = 0.5/0.8
P(B) = 5/8
Learn more about probability
https://brainly.com/question/24756209
#SPJ4
Question 9 (1 point)
(03.01 LC)
What is the length of the unknown side of the right triangle? (1 point)
х
7
24
Оа
7
Ob
24
Ос
25
Od
31
Answers
Apply Pythagorean theorem
x²=24²+7²x²=576+49x²=625x=√625x=25Answer:
25 units
Step-by-step explanation:
Since this triangle is a right triangle, we can use pythogoras theorem to calculate the unknown side length (x). The pythogoras theorem states that the (longest side)² is equivalent to (Side)² + (Side)².
Let the longest side be "c" and the other side lengths be "a and b".
⇒ Pythogoras theorem formula: c² = b² + a²
If this statement is proven false, then the triangle shown is not a right triangle. Now, let's use the formula to determine the missing side length.
Let "c" be "x" and the other side lengths be "7 and 24 (as stated in image)"
⇒ c² = b² + a²⇒ x² = 7² + 24²SImplify both sides as needed.
⇒ x² = 49 + 576⇒ x² = 625Take square root both sides as needed.
⇒ √x² = √625⇒ x = 25 unitsThe measure of x is 25 units.
Perez’s Ski Shop made a profit of $32,000 last year. This year, the profits are 250 percent of last year’s profits. How much of a profit did Perez’s Ski Shop make this year? $8,000,000 $80,000 $40,000 $32,800
Answers
Convert 250% to 2.5, and then mult. $32000 by 2.5:
2.5($32000 in profits) = $80000
Just Look at the picture! Not clickbait! Also why would I give you a clickbait picture?
The graph of g(x) = ax2 opens downward and is narrower than the graph of f(x) = x2. Which of the following could be the value of a?
Answers
The value of a is less than -1.
What is a parabola?A plane curve produced by a moving point such that its separation from a fixed point equals that of a fixed line is a parabola.
The function form of a parabola:
y = ±a (x - h)² + k,
where,
(h, k) is the vertex and, -a is the value of the parabola that is narrower.
Now, we have two functions,
g(x) = ax²
f(x) = x².
Given:
The graph of g(x) = ax² opens downward and is narrower than the graph of f(x) = x².
So, the value of a is less than -1.
Therefore, a < -1.
To learn more about the parabola;
https://brainly.com/question/21685473
#SPJ1
A box is a right rectangular prism with the dimensions 8 inches by 8 inches by 14 inches.
What is the surface area of this box?
Answers
Answer:
576in^2 is the surface area
if no accidents have occurred within the last six months, what is the probability that an accident will occur within the next year?
Answers
Step-by-step explanation: The number of traffic accidents at a certain intersection is thought to be well modeled by a Poisson process with a mean of 3
accidents per year.
Find the probability that more than one year elapses between accidents.
I am not really sure if I am doing this problem correctly but here was my attempt.
I know that the expected value is 3
accidents per year, and I have to find the probability that more than one year elapses between accidents.
What is the circumference of the following circle?
Answers
Steve bought 1 burger and 3 fries. The burger cost $5 and the total cost was $14.75. How much is each order of fries?
Answers
Please help I need the answer asp will give brainlist
Answers
The system of inequality y < 4x - 2 is represented by option B
How to identify inequality graphsAn inequality graph represents the graphical representation of an inequality on a coordinate plane.
It visually represents the set of points that satisfy the given inequality. In the graph, the shaded region indicates the solution set of the inequality.
In the equation we watch out for dotted lines which is used to represent a less than of greater than without "equal to"
The graph is attached
Learn more about linear functions at:
https://brainly.com/question/29721668
#SPJ1
2. Three times some number, decreased by five is no less than 16.
Written as a inequality, what will it be?
Answers
Answer:
Read explanation
Step-by-step explanation:
The equation is written as: \(3x-5\geq 16\)
You can make it a 2 step equation.
\(3x-5\geq 16\\\)
16+5=21
\(3x\geq 21\)
21/3
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
\(\blue{\textsf{\textbf{\underline{\underline{Question:-}}}}\)
3 times some number decreased by 5 is no less than 16.
\(\blue{\textsf{\textbf{\underline{\underline{Answer:-}}}}\)
3n-5≥16
\(\blue{\textsf{\textbf{\underline{\underline{How\:to\:Solve:-}}}}\)
First, notice it says "no less than 16"
So the expression can't be less than 16, so it's greater than or equal to 16.
Now, let the number be n.
Multiply 3 times n:
3n
"Decreased by 5" means you subtract 5:-
3n-5
Inequality:- 3n-5≥15
Solve:
3n-5≥15
3n≥15+5
3n≥20
n≥20/3
Good luck.- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
An environmentalist group wishes to measure the amount of dissolved oxygen per liter of water in a local stream. It collects a liter of water from each of 45 locations along the stream and measures the amount of dissolved oxygen in each specimen. The sample mean is 4.62 mg and the sample standard deviation is 0.92 mg. Assume the underlying distribution is normal. Construct a 90% confidence interval for the population average amount of dissolved oxygen (in mg per liter) in the stream. Round all answers to 2 decimals.a. The point estimate for the average amount of dissolved oxygen is mg.b. The distribution to use to construct the confidence interval is (respond with student-t or normal)c. Provide the values A - E for this problem on the following graph.A. B. C. D. E.d. The Confidence Interval is ( mg, mg) which means the error bound (or margin of error) is mg.e. The interpretation of this interval is that the environmentalists are confident that the true amount of dissolved oxygen in the stream is and mg.
Answers
If an environmentalist group wishes to measure the amount of dissolved oxygen per liter of water in a local stream, then the detailed solution is down below.
What is standard deviation?A dataset's variability is quantified by its standard deviation. It is determined by taking the square root of the variance, which is the sum of the squared deviations between each value in the dataset and its mean. How far a dataset's individual values deviate from its mean is determined by its standard deviation. A low standard deviation suggests that the dataset's values are close to the mean, whereas a large standard deviation suggests that the dataset's values are widely dispersed. When comparing the spread of two or more datasets, standard deviation is frequently utilised. It is a widely used statistical measure of dispersion.
How to solve?
a. The point estimate for the average amount of dissolved oxygen is 4.62 mg.
b. The distribution to use to construct the confidence interval is student-t.
c. Provide the values A - E for this problem on the following graph.
A. The sample mean is 4.62 mg.
B. The sample standard deviation is 0.92 mg.
C. The degrees of freedom for the student-t distribution is 45 - 1 = 44.
D. The t-value for a 90% confidence interval with 44 degrees of freedom is 1.699.
E. The error bound or margin of error is 0.92 mg * 1.699 = 1.57 mg.
d. The Confidence Interval is (4.62 - 1.57, 4.62 + 1.57) = (3.05, 6.19) mg, which means the error bound (or margin of error) is 1.57 mg.
e. The interpretation of this interval is that the environmentalists are confident that the true amount of dissolved oxygen in the stream is between 3.05 mg and 6.19 mg.
To learn more about standard deviation, visit:
https://brainly.com/question/13905583
#SPJ4
Jade buys 4 books that cost the same amount of money. she spends $50.
Part A: in the first box, enter an equation to represent the cost of each book, c, which jade buys.
Part B: in the second box, enter the cost of each book represented by c in this situation.
Answers
The equation, representing the cost of each book, c, which Jade buys is c = 50/4. The cost of each book represented by c in this situation is $12.5
How to interpret the division?When 'a' is divided by 'b', then the result we get from the division is the part of 'a' that each one of 'b' items will get.
Thus, if 10 mangoes are there, and 2 people, then 10 ÷ 2 is the number of mangoes each person would get, which is 5.
Division, thus, can be interpreted as equally dividing the number that is being divided in total x parts, where x is the number of parts the given number is divided.
Thus, \(a \div b\) = a divided in b equal parts.
Also, we can write: \(a \div b = a \times \dfrac{1}{b}\)
(it is so because as a = a times 1 so \(a/b = 1 \times (a/b) = (1/b) \times a\) )
For this case, we're given that;
Jade buys 4 booksEach book's cost is same, represented by 'c' (in dollars)Total amount spent on buying those 4 books = $504 books = $50 in cost
Dividing 4 books in 4 groups equally gives 1 book per group.
Dividing $50 in 4 groups equally, which would correspond to those 4 groups of books, would give cost per group, and therefore cost of each book.
We've got:
\(\text{Cost of each book} = c = \dfrac{50}{4} \: \rm (in \: dollars)\)
Dividing further, we get:
\(c = 50/4 = 12.5 \: \rm dollars\)
Thus, the equation, representing the cost of each book, c, which Jade buys is c = 50/4. The cost of each book represented by c in this situation is $12.5
Learn more about division here:
https://brainly.com/question/26411682
#SPJ1
What is the missing number for each fraction? 12 25 40
Answers
The Missing number for each fraction is ---
a) 3/7 = 12/28
b)5/8 = 25/40
c)3/4 =12/16
d)7/3 = 14/6
Fraction:
A fraction (from Latin: fracturs, "broken") represents a part of a whole or, more generally, any number of equal parts. When spoken in everyday English, a fraction describes how many parts of a certain size there are, for example, one-half, eight-fifths, three-quarters. A common, vulgar, or simple fraction (examples {1}/{2}} and ) consists of a numerator, displayed above a line (or before a slash like 1⁄2), and a non-zero denominator, displayed below (or after) that line. Numerators and denominators are also used in fractions that are not common, including compound fractions, complex fractions, and mixed numerals.
Given that
a) \(\frac{3}{7}\) = 12/_
let x
3/7 = 12/x
3x = 84
x = 28
3/7 = 12/28
b) x/8 = 25/40
40x = 200
x = 5
5/8 = 25/40
c)3/4 = x/16
4x =48
x =12
3/4 =12/16
d)7/x = 14/6
42 = 14x
x = 3
7/3 = 14/6
To learn more about fraction:
https://brainly.com/question/10354322
#SPJ4
how to multiply fraction with one fraction having the lcm and two other fractions being a factor of it
Answers
Multiplying fractions can be a tricky task, but with the right steps, it can be easily accomplished.
To multiply two fractions together, first find the least common multiple (LCM) of the two fractions.
Once you have the LCM, divide it by each of the two fractions and multiply the resulting numbers together. This will give you the final answer to your multiplied fractions.
Let's look at an example. Suppose you wanted to multiply 3/4 and 5/8 together. First, you would need to find the LCM of 3/4 and 5/8. The LCM in this case would be 24.
Now divide 24 by 3/4 and 5/8 to get 32/24 and 30/24 respectively. Multiplying 32/24 and 30/24 together would give you 960/576 as the answer.
To learn more about fractions, click here:
https://brainly.com/question/10354322
#SPJ4
A bag contains 9 red marbles, 4 blue marbles, and 7 yellow marbles. You randomly select three marbles from the bag. Rounding to the nearest hundredth, you are about
times more likely to select three red marbles when you replace each marble before you select the next marble?
Answers
Answer:
1/6 or 1.6666666
Step-by-step explanation:
12 marbles, 2 yellow
12/2= 6
1/6
How many diffrent ways can a rectangle be named
Answers
Answer:
Some other names that we use for rectangles are parallelograms, quadrilaterals, and polygons.
So, 3 different names.
Hope this helps!
20% of the 520 students in Windover middle school were involved in student sports of those students 12.5% were the wrestling team how many students were on the wrestling team
Answers
There were 13 students on the wrestling team.
First, we need to calculate how many students are involved in student sports:
20% of 520 students = 0.20 x 520 = 104 students
Then, we need to calculate how many of those students were on the wrestling team:
12.5% of 104 students = 0.125 x 104 = 13 students
Therefore, there were 13 students on the wrestling team.
To learn more on Percentage click:
https://brainly.com/question/24159063
#SPJ1
plz help will give brainliest
Answers
Answer:
1. I know the number of seeds that there are I am trying to find out how many seeds you will be able to plant in each row, I also need to know how much the seeds will weigh.
2. The quantites in the problem are related because they are other how much they will weigh, or the number of seeds.
Step-by-step explanation:
3.
Use the associative property of addition to rewrite (12+3)+7.
Which expression is equivalent?
A. 12(3 + 7)
B. (5 + 5 + 3) + 7
C. (12 - 3) + 7
D. 12 + (3 + 7)
Answers
Answer: b
Step-by-step explanation:
x-y> -3
2x + y<6
help plsss it’s for a quiz it’s algebra 2
Answers
Answer:
Hello!
Step-by-step explanation:
Ok so for X-y> -3, there are no solutions and for 2x + y<6, there are also no solutions. Hope this helped!
Convert the equation below to slope intercept form 2x+y=3
pls help ASAP
Answers
9514 1404 393
Answer:
(b) y = -2x +3
Step-by-step explanation:
Subtract the 2x term to get y by itself on the left.
2x -2x +y = 3 -2x
y = -2x +3 . . . . . . . matches slope-intercept form y = mx +b
Speed (in kmh) Frequency Cumulative Frequency 0-19 3 5 20-39 16 40-39 26 60-79 37 .80-99 9 100-119 2 (a) For the class interval 20-39, as written in the table above, complete the following sentences. (1) The upper class limit is (1 mark) (ii) The class width is. (1 mark) (i) Sixteen vehicles passed a checkpoint at no more than kmh (1 mark) (b) (c) Complete the table shown above by inserting the missing values for the cumulative frequency column. (2 marks) On the grid provided on page 21, using a scale of 2 cm to represent 20 kmh on the r-axis. and 2 cm to represent 10 vehicles on the p-axis, draw the cumulative frequency curve 10 represent the information in the table. (4 marks) (6) On your graph, draw reference lines to estimate the speed at which no more than 50% of the vehicles drove as they passed the checkpoint. (1 mark) What is the estimated specd? (d) ***** (1 mark)
Answers
Answer:
Cumulative frequency is used to determine the number of observations that lie above (or below) a particular value in a data set.
Step-by-step explanation:
If anyone wants to help that would be awesome 40 points for the the 2 people who answer and brainlest for the person who s correct. Thank You!
The number of pieces of popcorn in a large movie theatre popcorn bucket is normally distributed, with a mean of 1720 and a standard deviation of 20. Approximately what percentage of buckets contain between 1680 and 1760 pieces of popcorn? 1)Approximately 68%
2) Approximately 75%
3)Approximately 95%
4)99.7%
Answers
Answer:
Your answer is approxamantly 68%
Step-by-step explanation:
Find the unit rate for miles per gallon for a car that travels 396 miles on 13 gallons of gas
Answers
Answer:
????????????...?......?????..............?..?.???????....
Geometry Help Please!!
Answers
Answer:
b=130°
Step-by-step explanation:
b=180°-50°=130°
Answer:
130⁰
the sum of the two angles is 180⁰ as demonstrated by forming a straight line. 180-50=130
The greatest common factor of 65 and z, some unknown positive integer, is 13. there are two possible values for z between 30 and 60. what is the difference between these two values? (a) 11 (b) 12 (c) 13 (d) 14 (e) 15
Answers
Z is 52 and the difference between the values 65 and 52 is 13.
Given,
Two numbers : 65 and Z
Greatest common factor of the above numbers = 13
Z is a positive integer.
Possible values of Z is between 30 and 60.
Now,
13 x 5 = 65
So other number must be a multiple of 13 and a number below 5.
That is, 13 x 4 = 52 and 13 x 3 = 39. These are the two numbers between 30 and 60.
Now consider the difference.
65 – 52 = 13
65 – 39 = 26
In the given options we have 13 and 26 is not given in the option.
So the value of Z is 52 and the difference between 65 and 52 is 13.
Learn more about common factor here: https://brainly.com/question/11221202
#SPJ4
Look at the question below.
Answers
to decrease sample error, a pollster must __________ the number of respondents.
A) issue-scale B) increase C) decrease D) underrepresented
Answers
The correct option is B) increase.
To decrease sample error, a pollster must increase the number of respondents. The larger the sample size, the more representative it is likely to be of the target population, leading to a lower margin of error.
When conducting surveys or polls, it is essential to obtain responses from a diverse and random group of individuals. By increasing the number of respondents, the pollster can capture a broader range of perspectives, which helps to reduce sampling bias and increase the accuracy of the results.
For example, let's say a pollster wants to understand the political preferences of voters in a particular city. If they only survey 50 people, the sample may not accurately reflect the larger population, and the margin of error could be high. However, if they survey 500 or even 1000 people, the results are more likely to provide a reliable estimate of the overall population's preferences.
Therefore, to decrease sample error, pollsters should increase the number of respondents in their surveys or polls. This approach helps to ensure a more accurate representation of the population's views and minimize the potential for misleading or biased results.
Learn more about pollsters here:
brainly.com/question/2729655
#SPJ11