The ordered data are below. The middle value for 21 observations is observation Q, so the median of the data is - million dollars.
Answers
The median of the data cannot be determined without the actual values or additional information. Therefore, the answer cannot be provided based on the given question.
The median of a set of data, we need the actual values or additional information about the distribution of the data. The median is the middle value when the data is arranged in ascending or descending order. However, in the given question, only the number of observations (21) and the existence of a middle value (observation Q) are mentioned, but the actual values are not provided.
Without the specific values of the data or any additional information, we cannot calculate or determine the median. The statement indicates that observation Q is the middle value, but it does not provide any information about the values before or after Q. Therefore, we cannot determine the median of the data in this scenario.
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Related Questions
Find the slope of a line perpendicular to the given line
A 1/2
B 2
с -2
D 0
Answers
Answer: 1/2
Step-by-step explanation:
The slope is equal to rise/run; It's rise two and runs 4. 2/4 equals 1/2.
Based on order of operations what is the first step when solving a math problem
Answers
Answer:
PEMDAS
Step-by-step explanation:
Parentheses
Exponents
Multiplication and Division (from left to right)
Addition and Subtraction (from left to right).
I hope this helps
Please mark me brainliest ♥️
Have a nice day
solve for x so plz help
Answers
Answer:
x = 7
Step-by-step explanation:
AB + BC = AC
2x - 13 + 2x - 7 = 8
2x + 2x - 13 - 7 = 8
4x - 20 = 8
+20 +20
--------------------------
4x = 28
/4 /4
---------------------------
x = 7
Answer:
x = 7
Step-by-step explanation:
AB + BC = AC
plug in the values and solve for x
(a) Find the median number of hours per week these Year 12 students spend doing homework(b) Given that 10% of these Year 12 students spend more than k hours per week doing homework, find the value of k.
Answers
a) The median number of hours per week these Year 12 students spend doing homework is 4 hours.
b) If 10% of Year 12 students spend more than k hours per week doing homework, then the value of k is 5.75 hours.
What is the median?The median is a central value or a middle value in a distribution. The number of values in a dataset is an important factor that determines the calculation of the median. It is a value that cuts the data set into two equal parts.
The data set consists of 20 Year 12 students. Sort the data in ascending order (or descending order) and find the middle value. Then, use the formula for calculating the median.
a)The number of hours per week the Year 12 students spend doing homework is given as:
3, 3, 3, 3, 3, 3, 3.5, 3.5, 4, 4, 4, 4, 4.5, 5, 5, 5.5, 6, 7, 8, 8.5
Arrange the data in ascending order:
3, 3, 3, 3, 3, 3, 3.5, 3.5, 4, 4, 4, 4, 4.5, 5, 5, 5.5, 6, 7, 8, 8.5
Now count the data, which gives us 20 numbers. The middle value is the 10th and the 11th numbers, which are both 4.
So the median of the number of hours per week Year 12 students spend doing homework is 4 hours.
b) If 10% of Year 12 students spend more than k hours per week doing homework, then the value of k can be found using the following formula:
100% - 10% = 90%
So, 90% of students study for k hours or less.
So, the value of k can be found using the median. The median value is 4 hours, and 90% of students are studying for k hours or less. Therefore, 10% of students study for more than k hours.
k = 10% more than the value of the 90th percentile value, which is given by: k = 5.5 + ((8-5.5)/10)*1 = 5.5 + 0.25 = 5.75 hours.
Therefore, 10% of Year 12 students spend more than 5.75 hours per week doing homework.
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A friend of ours takes the bus five days per week to her job. The five waiting times until she can board the bus are a random sample from a uniform distribution on the interval from 0 to 10 min. Determine the pdf and then the expected value of the largest of the five waiting times.
Answers
The probability density function (pdf) of the largest of the five waiting times is given by: f(x) = 4/10^5 * x^4, where x is a real number between 0 and 10. The expected value of the largest of the five waiting times is 8.33 minutes.
The pdf of the largest of the five waiting times can be found by considering the order statistics of the waiting times. The order statistics are the values of the waiting times sorted from smallest to largest.
In this case, the order statistics are X1, X2, X3, X4, and X5. The largest of the five waiting times is X5.
The pdf of X5 can be found by considering the cumulative distribution function (cdf) of X5. The cdf of X5 is given by: F(x) = (x/10)^5
where x is a real number between 0 and 10. The pdf of X5 can be found by differentiating the cdf of X5. This gives: f(x) = 4/10^5 * x^4
The expected value of X5 can be found by integrating the pdf of X5 from 0 to 10. This gives: E[X5] = ∫_0^10 4/10^5 * x^4 dx = 8.33
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Graham buys 15 pens for $12.75. What is the unit price per pen? Later, at another store, Graham finds 20 of the same pens priced at $17.40. Which offer has the lower unit price? Explain.
Answers
$17.40 divided by 20 pens = $0.87 per pen
the first store has the lower price for pens. when you calculate the price of one singular pen, the first store sells them for $0.85 however the second store sells them for $0.02 more ($0.87)
A line passes through the points (-3,0) and (2,5). Find its equation in general
form.
Answers
a knowledge of statistics helps us make decisions based on ______ evidence.
Answers
Empirical, A knowledge of statistics is essential for anyone who wants to make informed decisions based on empirical evidence.
A knowledge of statistics helps us make decisions based on empirical evidence. Empirical evidence is data that has been collected through observation and experimentation, and statistics is a method for analyzing and interpreting this data. By using statistical tools and techniques, we can draw conclusions from empirical evidence and make informed decisions based on this information.
Statistics plays a crucial role in modern society, from medicine and public policy to business and finance. A knowledge of statistics enables individuals to understand and analyze data, to make informed decisions based on empirical evidence, and to communicate findings to others. Statistics helps us to quantify uncertainty and variability, to identify patterns and trends, and to make predictions based on past data. By using statistical methods, we can determine the probability of certain outcomes, assess risks and benefits, and evaluate the effectiveness of interventions or policies. For example, in medical research, statistics is used to test the effectiveness of new treatments or therapies, to determine the safety of drugs, and to identify risk factors for diseases. In public policy, statistics is used to analyze demographic trends, to assess the impact of social programs, and to inform decision-making around issues such as climate change or public health.
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what does the highest point on a bell-shaped curve represent?
Answers
The highest point on a bell-shaped curve represents the peak or maximum value of the distribution. This point is known as the mode of the distribution.
In a bell-shaped curve, also known as a normal distribution or Gaussian distribution, the data is symmetrically distributed around the mean. The curve is characterized by a central peak, and the highest point on this peak corresponds to the mode.
The mode represents the most frequently occurring value or the value that has the highest frequency in the dataset. It is the point of highest density in the distribution.
The bell-shaped curve is often used to model naturally occurring phenomena and is widely applied in statistics and probability theory. The mode provides information about the most common or typical value in the dataset and is useful for understanding the central tendency of the distribution.
While the mean and median also have significance in a normal distribution, the highest point on the bell-shaped curve specifically represents the mode, indicating the value with the highest occurrence in the dataset.
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Formalize the following in terms of atomic propositions r, b, and w, first making clear how they correspond to the
English text. (a) Berries are ripe along the path, but rabbits have not been seen in the area.
(b) Rabbits have not been seen in the area, and walking on the path is safe, but berries are ripe along the path.
(c) If berries are ripe along the path, then walking is safe if and only if rabbits have not been seen in the area.
(d) It is not safe to walk along the path, but rabbits have not been seen in the area and the berries along the path are ripe.
e) For walking on the path to be safe, it is necessary but not sufficient that berries not be ripe along the path and for rabbits not to
pave been seen in the area.
Walking is not safe on the path whenever rabbits have been seen in the area and berries are ripe along the path.
Answers
Walking is not safe on the path whenever rabbits have been seen in the area, and berries are ripe along the path. This is formalized by using the →(if-then) and ∧(logical and) operators.
Given information and corresponding atomic propositions:
We need to formalize the given statements in terms of atomic propositions r, b, and w, which are defined as follows:
r: Rabbits have been seen in the area.
b: Berries are ripe along the path.
w: Walking on the path is safe.
Now, let us formalize each of the given statements in terms of these atomic propositions:
a) Berries are ripe along the path, but rabbits have not been seen in the area.
b: Rabbits have not been seen in the area, and walking on the path is safe, but berries are ripe along the path.
c: If berries are ripe along the path, then walking is safe if and only if rabbits have not been seen in the area.
d: It is not safe to walk along the path, but rabbits have not been seen in the area, and the berries along the path are ripe.
e) For walking on the path to be safe, it is necessary but not sufficient that berries not be ripe along the path and for rabbits not to have been seen in the area.
Walking is not safe on the path whenever rabbits have been seen in the area, and berries are ripe along the path.
The formalizations in terms of atomic propositions are:
a) b ∧ ¬r.b) ¬r ∧ w ∧
b.c) (b → w) ∧ (¬r → w).
d) ¬w ∧ ¬r ∧
b.e) (¬r ∧ ¬b) → w.b ∧
Berries are ripe along the path, but rabbits have not been seen in the area.
This is formalized by using the ∧(logical and) operator.
(¬r ∧ ¬b) → w: It means For walking on the path to be safe, it is necessary but not sufficient that berries not be ripe along the path and for rabbits not to have been seen in the area.
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Harlan is building a fence. After he sets the corner post, he uses 2 eight-foot posts, 4 braces, and 48 feet of paneling for every 12 feet of fence. Harlan needs to build 60 feet of fence today and he has 208 feet of paneling. How many more feet of paneling does he need?
Answers
Write the polynomial expression is which the GCF of is factored from the polynomial 2x^(6 - )12x^(4)
Answers
The polynomial expression 2x⁶ - 12x⁴ in GCF factored form is 2x⁴(x² - 6).
What is the greatest common factor?The greatest number that can divide the numbers in equal parts.
It is called as greatest common factor.
Given:
A polynomial expression,
2x⁶ - 12x⁴.
To factor the polynomial using GCF:
The GCF of 2x⁶ and 12x⁴,
= 2x⁴.
So, the polynomial is,
2x⁶ - 12x⁴ = 2x⁴(x² - 6)
Therefore, the GCF form of the polynomial is 2x⁴(x² - 6).
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If 1.0 J of work is done in raising a 38 g apple, how far is it lifted?
Answers
Answer:
h=2.69 m
Step-by-step explanation:
Ep=m×g×h
1=0.038×9.8×h
1/0.038×9.8=h
1/0.3724=h
2.69=h
can someone help me with this one question pls i will give 50 points
Answers
Step-by-step explanation:
Answer: No solution
Desmos Graphing Calculator is a great way to check these things. I'm not a 100% sure on my calculations, but I know Desmos is.
13. The soccer team and the lacrosse team
sold tubs of cookie dough as a fundraiser.
Each tub sold earns $5 in profit. If the
soccer team sold thirteen less than twice
the number of tubs that the lacrosse team
sold, and the two teams sold 224 tubs
combined, how much money did the soccer
team raise?
A. $395
B. $440
C. $725
D. $855
Answers
Answer:
I think it is c but if not then I am not sure I did my work for this problem and I got this answer
What is the rate of change and initial value for the linear relation that includes the points shown in the table?
ху
1 | 20
3 | 10
5 | 0
7 | -10
A. Initial value: 20, rate of change: 10
B. Initial value: 30, rate of change: 10
C. Initial value: 25, rate of change: -5
D. Initial value: 20, rate of change: -10
Answers
Answer:
C, at 0/25, 1/20, 2/15, 3/10,...
Answer:
C
Step-by-step explanation:
Please solve!!!!!!!!!
Answers
Answer:
Y - Adds by -5X - Adds by 2Step-by-step explanation:
It adds by negative 5 because if you add up all of the math and equations, it will all fit together.
Here's an example.
The first one is 3 and -2, so lets add -2 by 5.
-2 + 5 = 3 --- 1st row
We can figure this out by subtracting 2 by 5, which equals 3.
( This does not apply to all equations. )
Let's add all of them by 5 now.
-7 + 5 = -2 --- 2nd row
-12 + 5 = -7 --- 3rd row
On the last row, we add -12 by -5 and you get -17.
-17 + 5 = -12 --- 4th row
That's how you figure it out.
Hope this helps! <3
someone please help
Find all the values of k so that the quadratic expression factors into two binomials. Explain the process used to find the values.
5x^2+kx-8
Answers
To find the values of k for which the quadratic expression 5x^2 + kx - 8 factors into two binomials, we can use the factoring method or the quadratic formula. Let's use the factoring method.
Step 1: Write the quadratic expression in the form of (ax^2 + bx + c).
The given quadratic expression is already in the correct form: 5x^2 + kx - 8.
Step 2: Find two numbers that multiply to give ac (product of the coefficient of x^2 and the constant term) and add up to give b (the coefficient of x).
In this case, ac = 5 * -8 = -40.
We need to find two numbers that multiply to -40 and add up to k.
Step 3: List all the possible pairs of numbers that multiply to -40.
The pairs of numbers are (-1, 40), (1, -40), (-2, 20), (2, -20), (-4, 10), (4, -10), (-5, 8), and (5, -8).
Step 4: Determine which pair of numbers adds up to k.
Since the coefficient of x is k, we need to find the pair of numbers that adds up to k.
For example, if k = -4, the pair (-5, 8) adds up to -4.
Step 5: Write the factored form of the quadratic expression.
The factored form of the quadratic expression is obtained by writing the binomials with x and the two numbers found in step 4.
For example, if k = -4, the factored form would be (5x - 8)(x + 1).
To find all the values of k, repeat steps 4 and 5 for each pair of numbers. The values of k will be the sums of the pairs of numbers.
For example, if the pairs are (-5, 8) and (5, -8), the values of k would be -4 and 4.
In summary, the values of k that make the quadratic expression 5x^2 + kx - 8 factor into two binomials are -4 and 4.
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V + Iwh
I = 32, w = 14, and h = 7
V = ___
Options:
A: 53
B: 3,136
C: 448
Please show your work
Answers
Equation V + Iwh , I = 32, w = 14, and h = 7, V = -3,136. The correct answer is B.
To solve for V in the equation V + Iwh, we can plug in the given values of I, w, and h, and then isolate V on one side of the equation. Here are the steps:
1. V + Iwh = V + (32)(14)(7)
2. V + 3,136 = V + 3,136
3. Subtract 3,136 from both sides of the equation: V = -3,136
The correct answer is option B: 3,136. Here is the solution in HTML format:
To solve for V in the equation V + Iwh, we can plug in the given values of I, w, and h, and then isolate V on one side of the equation. Here are the steps:
V + Iwh = V + (32)(14)(7)
V + 3,136 = V + 3,136
Subtract 3,136 from both sides of the equation: V = -3,136
The correct answer is option B: 3,136.
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On a piece of paper, graph f(x) = { 2 ifz > ²
x < 2
.
2
answer choice matches the graph you drew.
O A.
-5
52
y
-53
Click here for long description
Then determine which
Answers
A graph that matches the answer choice is shown in the image attached below.
What is a piecewise-defined function?In Mathematics, a piecewise-defined function can be defined as a type of function that is defined by two (2) or more mathematical expressions over a specific domain.
Generally speaking, the domain of any piecewise-defined function simply refers to the union of all of its sub-domains. By critically observing the graph of the given piecewise-defined function, we can reasonably infer and logically deduce that it is constant over the interval x ≥ 2 and increasing over the interval x < 2.
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the object on the scale drawing is 4 inches long. How many feet long is it in real life?
Answers
Answer:
half of a foot
Step-by-step explanation:
Which is equivalent to 4√3
will mark brainlist if right
Answers
Answer:
The result can be shown in multiple forms.
Exact Form: 4√3 = √48
Step-by-step explanation:
4√3 is equivalent to √48
Find the measure of each side indicated. Round to the nearest tenth.
Answers
Answer:
Step-by-step explanation:
to find x we can use tangent function
tan 31= x/9
0.60=x/9
x=0.60*9=5.4 choice B
The measure of x side.
We have given a right angle triangle whose angle A=31 degrees and two sides that is x and 9.
We have to determine the value of x.
Therefore we use here the trigonometric ratio
What is the tan ratio?\(tan\theta=\frac{opposite side}{adjacent side}\)
Therefore we get
tan 31= x/9
tan(31)=0.60
0.60=x/9
Isolate the x
x=0.60*9
x=5.4
Therefore option B is correct.
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The map shows the location of the mall, library, and school in the city; Brittany travels from the school to the mall and then from the mall to the library. Alice traveled directly from the school to the library. How many more miles to Britney travel than Alice? A. 8 miles B. 9 miles C. 10 miles D. 12 miles
Answers
Answer:A) 8 miles
Step-by-step explanation:
8 miles
3. The diagram shows three lines with some marked angle
measures
Find the missing angle measures marked with question
marks.
Answers
Answer:
Q1 35,145 145 Q2 27,153,153
Step-by-step explanation:
As opposite angles are the same.So for example on Q1, 35+35= 70
360-70=290
290÷2= 145
The measure of angle are:
<X= 145
<Y= 35
<Z =145
<U= 153
<V= 27
<W= 153
what is an angle?An angle is formed when two straight lines or rays meet at a common endpoint.
Given:
angle <1 = 35
<Y = 35 (Vertically opposite angle)
<X + 35 = 180 (Linear pair)
<X = 145
<Z = <X = 145 (Vertically opposite angle)
Now,
<V = 27 (Vertically opposite angle)
<U + 27 = 180 (Linear pair)
<U = 153
<U= <W =153 (Vertically opposite angle)
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The perimeter of a regular pentagon is represented by the expression 25c + 15. What is the length of one side of the pentagon?
Drag each expression into the table to show whether it is equivalent or not equivalent to the side length of the regular pentagon.
Answers
Giving 50 points please help asap I have 20 mins
Answers
Answer:
7
Step-by-step explanation:
LaTeX Solution
\(\frac{x + 3}{5} = 2\)
\(x + 3 = 10\)
\(x = 7\)
No LaTeX Solution:
(x + 3)/5 = 2
x + 3 = 10
x = 7
A picture 8 3/4 feet long is to be centered on a wall that is 12 1/2 feet long. How much space is there from the edge of the wall to the picture?
Answers
Answer:
15/4
Step-by-step explanation:
Find a common denominator in this case 4.
Turn both mixed numbers to an improper fraction
12 1/2 = 25/2
8 3/4 = 35/4
multiply 2 to 25/2 = 50/4
50/4 - 35/4 = 15/4
yo please help i have no idea how to do this(the first 2 questions the tecaher did)
Answers
Answer:
Step-by-step explanation:
You'll need to learn the formula for the circumference of a circle. If the radius is r, the circumference C is C = 2πr. It appears that your teacher is using pi for the exact circumference and 3.14 for the approximate circumference.
The radius of the first circle is 5 in. Thus, the exact circumference is
C = 2πr = 2π(5 in) = 10π in, and the approximate circumference is
C = 2(3.14)(5 in) = 31.4 in
Which set of ordered pairs does not represent a function? \{(5, -9), (6, -6), (-3, 8), (9, -6)\}{(5,−9),(6,−6),(−3,8),(9,−6)} \{(-6, -4), (4, -8), (-6, 9), (1, -3)\}{(−6,−4),(4,−8),(−6,9),(1,−3)} \{(1, -1), (-5, 7), (4, -9), (-9, 7)\}{(1,−1),(−5,7),(4,−9),(−9,7)} \{(8, -9), (-3, -6), (-4, 4), (1, -5)\}{(8,−9),(−3,−6),(−4,4),(1,−5)}
Answers
Answer:
\(\{(-6, -4), (4, -8), (-6, 9), (1, -3)\}\)
Step-by-step explanation:
Given
\(\{(5, -9), (6, -6), (-3, 8), (9, -6)\}\)
\(\{(-6, -4), (4, -8), (-6, 9), (1, -3)\}\)
\(\{(1, -1), (-5, 7), (4, -9), (-9, 7)\}\)
\(\{(8, -9), (-3, -6), (-4, 4), (1, -5)\}\)
Required
Which is not a function
An ordered pair is represented as:
\(\{(x_1,y_1),(x_2,y_2),(x_3,y_3),..........,(x_n,y_n)\}\)
However, for the ordered pair to be a function; all the x values must be unique (i.e. not repeated)
From options (a) to (d), option (b) has -6 repeated twice. Hence, it is not a function.