A set of data that could be represented by the box-and-whisker plot include the following: D.
The median of the set of data is equal to 10.
What is a box-and-whisker plot?In Mathematics and Statistics, a box-and-whisker plot is a type of chart that can be used to graphically or visually represent the five-number summary of a data set with respect to locality, skewness, and spread.
Based on the information provided about the data set (2, 2, 7, 10, 10, 11, 13, 15, 17, 20, 20, 24, 26, 27, 27, 28), the five-number summary for the given data set include the following:
Minimum (Min) = 2.
First quartile (Q₁) = 16.
Median (Med) = 10.
Third quartile (Q₃) = 25.5.
Maximum (Max) = 28.
In conclusion, we can logically deduce that the median of the data set is 10 and it has no outlier.
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Adriana's cell phone carrier withdraws $65.75 from her bank account each month to pay her cell phone bill. She deposits a paycheck each month in the amount of $832.43. What is the change in her bank account after three months?
Answer:
38.0
Step-by-step explanation:
first you divide then times
36 divided by m over x times 9
Answer:
Step-by-step explanation:
4/mx
23) Convert 155 pounds into grams using dimensional analysis.
One pound = 0.453592 kilograms
1 kilogram = 1,000 grams
070,306.76 grams
O 700,306.76 grams
0 7,030.676 grams
O 0.7030676 grams
Help
Answer:
A; 70, 306.76 grams
Step-by-step explanation:
Which point would NOT be a solution to the system of linear inequalities shown below?
It's asking would not be a solution soo
(-10, -9) as you can see
You're welcome thank me later
What are the solutions of the equation x4 - 5x2 - 14 = 0? Use factoring to solve.
x = +/- √7 and x = +/- √2
x = +/- i√7 and x = +/- i √2
x = +/- i √7 and x = +/- √2
x = +/- √7 and x = +/- i √2
Answer:D
Step-by-step explanation:
The solution is: x = +/- √7 and x = +/- i √2 are the solutions of the equation x^4 - 5x^2 - 14 = 0.
What is simplification?Simplify simply means to make it simple. In mathematics, simply or simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving.
here, we have,
given that,
we have to factorize the equation,
The given equation is
x^4 - 5x^2 - 14 = 0
To factor this expression, we can change variables to make easier to see the solution.
x^4 = y^2
and
x^2 = y
Applying the change, we have
y^2 - 5y - 14 = 0
Now, you can observe that to factor this expression, we just need to find two number which product is 14 and which difference is 5, such numbers are 7 and 2.
y^2 - 5y - 14 = 0
or, (y-7) ( y+2) = 0
However, remember that , y = x^2
so, (x^2-7) ( x^2+2) = 0
Applying the zero property, we have
x = +/- √7
and x = +/- i √2
As you can see, the equation has two real solutions and two complex solutions.
Therefore, the right answer is the last choice.
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***SUPER HARD QUESTION THAT I CAN'T SOLVE, HOMEWORK IS DUE TOMMOROW! HELP!!!
5.3 MATHEMATICS HOLIDAY PACKAGE-TERM 2(2023) Instructions: Attempt ALL items 1. Your family has seven siblings; peter, John, Sarah, Joy, Ali, Mary and Ivan. There is an interval of 2 years between the ages of the children from Ivan to peter. Ivan is three years old. Task: Using an arrow diagram, explain the information about your family.
You earn $1,600 per pay period. Your deductions are $110, $66, and $14. What is your net pay?
Answer:
Your net pay is
\($1410\)
Step-by-step explanation:
All we have to do is add the deductions and then subtract them from what your earn.
\(1600 - (110 + 66 + 14) = \\ 1600 - 190 = 1410\)
Hi please help me answer this :)
Explain answer
Will give braisnlt
Answer:
There are no solutions
Step-by-step explanation:
No intersections or points that apply for the equations.
Any intersection between both lines is a solution. As these lines are parallel they have no solution. If they met at any point, 90 degree or not, there is solution, the solution will be a point. If they are on the same line, hitting all the same points, the solutions are infinite.
Glen got 48 out of 64 correct in his test.
What fraction of the marks did he get wrong?
Give your answer in its simplest form.
Answer:
He got 16 incorrect
Step-by-step explanation:
Answer:
fraction: 3/4
percent: 75%
Step-by-step explanation:
if answer correct you get brainiest what is 85 × 93 ÷ 5 × 86 ÷ 6 + 933 + 942,563 × 389,175 ÷ 5 × 55 × 0 =_____
Step-by-step explanation:
0 the answer is definitely 0 I'm so smart totally
Answer:
0
Step-by-step explanation:
there's x0
thirty seven city buses fully loaded can carry 4403 passengers how many passengers can a single bus carry?
Answer:
One single bus:
119 passengers
Step-by-step explanation:
37 buses ⇒ 4403 passengers
1 bus ⇒ X passengers
X = 4403 passengers * 1 bus / 37 bus
X = 119
rogress bar may be uneven because questions can be worth more or less (including zero) depending on your
Which of the following equations has the solution x = all real numbers?
O. 5(3x) + 6x = 3x + 15 + 2x
5(3x).+ 7x = 3x + 15 - x
5(3x) + 7x = 3x + 10 - x
5(3x) + 7x = x + 15 - 3x
The equations that has the solution x = all real numbers is 5(3x)+ 7x = 3x + 15 - x and 5(3x) + 7x = 3x + 10 - x,
What is meant equation?Algebraically speaking, an equation is a statement that shows the equality of two mathematical expressions. For instance, the two equations 3x + 5 and 14, which are separated by the 'equal' sign, make up the equation 3x + 5 = 14.
A formula that expresses the connection between two expressions on each side of a sign. Typically, it has a single variable and an equal sign.
Here given equations,
5(3x) + 6x = 3x + 15 + 2x
15x + 6x = 3x + 15 + 2x
15 x + 6x - 3x -2x = 15
16 x = 15
x = 15/16
5(3x).+ 7x = 3x + 15 - x
15 x + 7x = 3x + 15 - x
15 x + 7x - 3x + x = 15
22x - 3x + x = 15
20 x = 15
x = 15/20
x = 3/4
5(3x) + 7x = 3x + 10 - x
15x + 7x - 3x + x = 10
20x = 10
x = 10/20
x = 1/2
5(3x) + 7x = x + 15 - 3x
15x +7x - x + 3x = 15
24x = 15
x = 15/24
x = 5/8
Therefore the equations that has the solution x = all real numbers are :
5(3x).+ 7x = 3x + 15 - x and 5(3x) + 7x = 3x + 10 - x .
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if y=- 5x {}^{2} determine the value of..
y if x=0
Answer:
Step-by-step explanation:
y = -5x^2
if x = 0 , then
y = -5(0)
y = 0
Identify the type of data (qualitative/quantitative) and the level of measurement for the following variable. Explain. The average mass (in grams )of a sample of rocks collected in the waters of a region.
1. Are the data qualitative or quantitative?
A. Qualitative, because descriptive terms are used to measure or classify the data.
B. Quantitative, because descriptive terms are used to measure or classify the data.
C. Qualitative, because numerical values, found by either measuring or counting, are used to describe the data.
D. Quantitative, because numerical values, found by either measuring or counting, are used to describe the data.
2. What is the data set's level of measurement?
A. Ratio, because the differences in the data can be meaningfully measured, and the data have a true zero point.
B. Interval, because the differences in the data can be meaningfully measured, but the data do not have a true zoro point.
C. Nominal, because the data are categories or labels that cannot be ranked.
D. Ordinal, because the data are categories or labels that can be ranked.
3. What is the probability of randomly selecting a diamond from a standard 52-card deck?The probability of selecting a diamond is 0.25.
4. Use the contingency table to complete parts a) through d) below.
Event A Event B
Event C 10 11
Event D 3 4
Event E 14 8
A) Determine the probability of P(AIC).
B) Determine the probability of P(CIA).
C) Determine the probability of P(BE).
5. Use the contingency table to complete parts a) through d) below.
Event A Event B
Event C 10 11
Event D 3 4
Event E 14 8
A) Determine the probability of P(CIA).
B) Determine the probability of P(BE).
C( Determine the probability of P(EB).
Answer:
Step-by-step explanation:
Hello!
The variable is
X: average mass of a sample of rocks collected in the waters of a region. (measured in grams)
Variables can be:
Quantitative: they represent number, any characteristic that can be "counted" is a quantitative variable, the most common examples are weight, volume, temperature, height, etc...
There are two types of quantitative variables:
⇒ Discrete variables: The only take certain values within the interval of definition of the variable, for example "number of sales" or "money in a wallet"
⇒ Continuous variables: They can take any value within an interval, in this example that you are working with mass, depending on the precision of the scale the mass can have infinite decimal values.
Qualitative: they represent characteristics that cannot be counted, meaning, they are not represented by numbers. There are many attributes that are qualitative variables, for example: colors, race of an animal, phenotypes, types of business, etc...
1)
The variable in this example is Quantitative, it takes numerical values, and the correct option is:
D. Quantitative, because numerical values, found by either measuring or counting, are used to describe the data.
2)
The values of mass of the rocks can take any value within the range of definition of the variable, they only depend on the precision of the scale used to weight the rocks.
B. Interval, because the differences in the data can be meaningfully measured, but the data do not have a true zero point.
3)
A standard 52-card deck contains 13 cards for each suit (clubs, diamonds, hearts and spades)
To calculate the probability of choosing a card at random and it being a Diamond, supposing that all cards are equally probable, you have to divide the total number of diamonds by the total number of cards in the deck:
P(diamond)= 13/52= 0.25
For items 4) and 5) the contingency tables are attached.
4)
a. and b. are conditional probabilities, to calculate them you have to apply the following formula: \(P(A|B)= \frac{P(AnB)}{P(B)}\)
This means that the probability of the event "A" given that event "B" has occurred is equal to the probability of the intersection between events "A" and "B" divided by the probability of event "B"
a. P(A|C)= \(\frac{P(AnC)}{P(C)}\)
To calculate the probability of the intersection P(A∩C) you have to divide the observations where both events cross by the total of observations on the table:
P(A∩C)= 10/50= 0.20
The probability of C is found in the margins of the table, in this case you have to divide the total of observations for event C by the total of observations of the table:
P(C)= 21/50= 0.42
Now you can calculate the asked probability:
\(P(A|C)= \frac{0.2}{0.42}= 0.48\)
b. P(C|A)= \(\frac{P(AnC)}{P(A)}\)
From item a. we already know that P(A∩C)= 10/50= 0.20
The probability of event A is in the margin of the table and you calculate it as:
P(A)= 27/50= 0.54
Then:
\(P(C|A)= \frac{0.20}{0.54} = 0.37\)
c. P(BE)
This symbolized the probability of the events "B" and "E" occurring at the same time, you can also symbolize it as P(B∩E)
To calculate the probability of B and E happening you have to do as follows:
P(B∩E)= 8/50= 0.16
5)
a. P(C|A)= 0.37 (As calculated in 4b.)
b. P(BE) and c. P(EB) ⇒ Both expressions symbolize the intersection between events "B" and "E", P(B∩E)= P(E∩B)= 0.16 (As calculated in 4c.)
I hope this helps!
In a class of 70 students, 10 students passed mathematics, biology or chemistry, 30 pass mathematics, 30 pass biologi, and 25 pass mathematics if 11 pass mathematics or biology 10 pass biology and chemistry and 7 pass mathematics and. Chemistry how many pass all three subjects (i) pass mathematics or chemistry bt not biology, biology or chemistry bt not chemistry, pass at least one subject
For (A ∪ C) - B: 30 + 25 - 7 - 3 = 45
For (B ∪ C) - A: 30 + 25 - 10 - 3 = 42
For A ∪ B ∪ C: 10 students pass at least one subject.
How to solve
The existing details provide that among 10 students taking tests, groups A, B, and C have 30, 30, and 25 students respectively.
Additionally, scores overlap between pairings of the three groups - 11 students in groups A and B got a similar score, similarly, for students in groups B and C it was 10, while for those in groups A and C there were 7 who scored alike.
To indicate those passing all three exams, one can use the inclusion-exclusion principle and determine that 3 students did so.
Accounting for circumstances where individuals are themselves part of multiple categories,
(A ∪ C) - B gets us 45 and (B ∪ C) - A goes to 42.
On the whole, from A through C, no less than 10 test-takers ended up passing at least one exam.
In summary:
For (A ∪ C) - B: 30 + 25 - 7 - 3 = 45
For (B ∪ C) - A: 30 + 25 - 10 - 3 = 42
For A ∪ B ∪ C: 10 students pass at least one subject.
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If you have a statistical calculator or computer, use it to find the actual sample mean and sample standard deviation. Otherwise, use the values Σx = 2769 and Σx2 = 132,179 to compute the sample mean and sample standard deviation. (Round s to four decimal places.)
By using a statistical calculator, the actual sample mean and sample standard deviation are:
Actual sample mean = 46.1500.
Actual ample standard deviation = 8.6256.
How to calculate the sample mean for the set of data?In Mathematics and Geometry, the sample mean for any set of data can be calculated by using the following formula:
Mean = ∑x/(n - 1)
∑x represents the sum of all data values.(n - 1) represents the number of data contained in a sample.In Mathematics and Geometry, the sample standard deviation for any set of data can be calculated by using the following formula:
Standard deviation, δx = √(1/N × ∑(x - \(\bar{x}\))²)
x represents the observed values of a sample.\(\bar{x}\) is the mean value of the observations.N represents the total number of of observations.By using a statistical calculator, the actual sample mean and sample standard deviation are as follows;
Actual sample mean = 46.1500.
Actual ample standard deviation = 8.6256.
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
Two rescue workers leave at the same time to find an injured hiker. The first walks 25 west of north at 3.5 mi/h, and the second walks 36 east of north at 2.5 mi/h. After 2 hours, the second worker finds the hiker and radios the first worker for help. If the first worker jogs directly to the second worker at 6 mi/h, how long will it take for her to arrive?
After 2 hours, the second rescue worker finds the injured hiker and radios the first worker for help. The first worker arrives in approximately 28.5 minutes after jogging directly to the second worker at 6 mph.
We can start by finding the distances each worker covers in 2 hours.
For the first worker:
Distance = rate × time
Distance = 3.5 × 2 = 7 miles
For the second worker:
Distance = rate × time
Distance = 2.5 × 2 = 5 miles
Now we can use trigonometry to find the horizontal and vertical components of the first worker's displacement while walking:
Horizontal component = 7 × sin(25°) ≈ 3.01 miles
Vertical component = 7 × cos(25°) ≈ 6.30 miles
Similarly, we can find the horizontal and vertical components of the second worker's displacement:
Horizontal component = 5 × sin(54°) ≈ 4.07 miles
Vertical component = 5 × cos(54°) ≈ 3.62 miles
We can now find the horizontal and vertical components of the distance between the two workers:
Horizontal component = 3.01 - 4.07 ≈ -1.06 miles
Vertical component = 6.30 - 3.62 ≈ 2.68 miles
The distance between the two workers is the hypotenuse of a right triangle with these components as its legs:
Distance = √((-1.06)² + (2.68)²) ≈ 2.85 miles
Finally, we can find the time it takes for the first worker to cover this distance at 6 mi/h:
Time = Distance ÷ rate
Time = 2.85 ÷ 6 ≈ 0.475 hours or 28.5 minutes
Therefore, it will take the first worker about 28.5 minutes to arrive.
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Miss Smith made 80 cookies and wanted to give all the cookies to her students list 3 Number of student that could get an equal number of cookies
Answer:
2, 5, 40
Step-by-step explanation:
2 students can get 40 cookies
5 students can get 16 cookies
40 students can get 2 cookies.
whoever answers gets brainliest and 100 points help
Answer:
12
the power of two are increased and become 12
answer is 2 power 12
CAN I GET BRAINLIEST NOW
Answer:
The answer would be 12 I hope this helps.
i used a variable only once in my class. should it be private static final or just declared inside method
This is the final static variable for all instances.
That makes the behaviour much more obvious. Modern IDEs will usually suggest changing the second listing into the third.
There is no reason to have an inline declaration initializing the value like the following, as each instance will have its own NUMBER but always with the same value. This is the same than to have only one final static variable for all instances.
The static keyword means the value is the same for every instance of the class. The final keyword means once the variable is assigned a value it can never be changed. The combination of static final in Java is how to create a constant value.
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Find the value of x and y variable in the following parallelogram
Answer:
y + 5 = 3y - 1
2y = 6, so y = 3
4x - 2 = x + 10
3x = 12, so x = 4
What is the value of [-12]?
–13
–12
12
13
The calculated value of [-12] is (b) -12
How to determine the value of [-12]?From the question, we have the following parameters that can be used in our computation:
[-12]
Remove the square bracket
So, we have
-12
The above expression cannot be further simplified
So, we have
[-12] = -12
Hence, the calculated value of [-12] is (b) -12
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Answer:
-12
Step-by-step explanation:
took the quiz
Choose the system of inequalities that best matches the graph below.
Answer: D
Step-by-step explanation:
Hope it helps
If the center of the circle is Point A, what is the difference between the circumference of the circle and the perimeter of the triangle, to the nearest tenth of a unit?
A 20.6 units
B 28.2 units
C 80.7 units
D 95.5 units
The difference between the circumference of the circle and the perimeter of the triangle is 28.2 units. (Option B)
To find the length of each side of triangle, the distance is calculated between the vertices using the formula:
d = √((x2 – x1)^2 + (y2 – y1)^2)
Hence,
AB =√((-4 – 0)^2 + (9 – 0)^2) = 9.85 units
AC = √((9 – 0)^2 + (4 – 0)^2) = 9.85 units
BC = √((9 – (-4))^2 + (4 –9)^2) = 13.93 units
Hence, the perimeter of the triangle = 9.85 + 9.85 + 13.93 = 33.6 units
As AB and AC is the radius of the circle, the circumference of the circle is:
C = 2πr = 2π(9.85) = 61.8 units.
Hence, the difference between the circumference of the circle and the perimeter of the triangle = 61.8 – 33.6 = 28.2 units.
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Olivia, the food stand manager, spends $210 per week on vegetable sandwich ingredients. She wants to earn $1870 per week.
Write an equation that can be used to determine x, the number of vegetable sandwiches Olivia needs to sell in order to earn $1870 per week.
Answer:
187
Step-by-step explanation:
1870/210=187
Also / means divide
Question in the pic, please explain your answer
The statement translated to an algebra equation will give the value of the unknown number w = 11/5
What is algebra?Algebra is the branch of mathematics that helps to represent problems or values in the form of mathematical expressions using letters to represent unknown values.
Let us represent the unknown number with the letter w so that the statement can be written as the equation:
5w - 8 = 3
add 8 to both sides
5w - 8 + 8 = 3 + 8
5w = 11
divide through by 5
5w/5 = 11/5
w = 11/5
Therefore, the statement translated to an algebra equation will give the value of the unknown number w = 11/5
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statement TRUE or FALSE? Explain your answer in full sentences. 0.34 is greater than 0.5 because 34 is greater than 5
Answer:
False
Step-by-step explanation:
.34 is smaller than .5 because .5 is 50/100 and .34 is 34/100
working with decimals is different than working with whole numbers.
Ausgtin has 1/4 as many cards as mateo. mateo has 1/2 as many cards of amaro. who has the most cards
Answer:D
Step-by-step explanation:
Amaro would have the most.
GIVING 10 POINTS, BRAINLIEST, FIVE STARS AND THANKS! (Please answer correctly:))
Alan deposited $300 into a savings account. At the end of the first year the amount of money in the account had increased to $336. At the end of the second year he had $420. Find the percent increase in the amount of money in his savings account from the end of the first year to the end of second year
Answer:
12%
Step-by-step explanation:
You subtract 336 from 300 which will give you 36, then you divide 36 by 300 and you will get .12 which is 12%