Answers
The five-number summary is:
Minimum: 9
First Quartile: 16.5
Median: 25.5
Third Quartile: 39
Maximum: 51
3. Range = 42
4. Interquartile range = 22.5
How to Find the Five-number Summary of a Data?Given the data for the lengths as, 36, 15, 9, 22, 36, 14, 42, 45, 51, 29, 18, 20, to find the five-number summary of the data set, we would follow the steps below:
1. The numbers in ordered from the smallest to the largest would be:
9, 14, 15, 18, 20, 22, 29, 36, 36, 42, 45, 51
2. The five-number summary for the lengths in minutes would be:
Minimum value: this is the smallest lengths, which is 9First Quartile (Q1): this is the middle of the first half of the data set of the lengths in minutes, which is 16.5.Median: the median is the center of the data distribution which is 25.5.Third Quartile: this is the middle of the second half of the data set of the lengths in minutes, which is 39.Maximum: this is the largest length in minutes, which is, 51.3. Range of the data = max - min = 51 - 9 = 42
4. The interquartile range for the data set = Q3 - Q1 = 39 - 16.5
Interquartile range for the data set = 22.5
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Related Questions
Find the value of the variable and YZ if Y is between X and Z. XY= 11d, YZ=9d-2, XZ=5d+28
Answers
Answer:
d = 2
YZ = 16
Step-by-step explanation:
X-Y-Z
so XY + YZ = XZ
11d + (9d -2) = 5d + 28
11d + 9d - 5d = 28 + 2
15d = 30
d = 30/15 = 2
YZ = 9d - 2 = 9(2) - 2 = 18 - 2 = 16
Solve system of equations.
y=2 x
y=-x+6
Answers
The system of equations involving y = 2x and y = -x + 6 has the solution (2 , 4).
A system of linear equations is a set of two or more equations which includes common variables. To solve system of equations, we must find the value of the unknown variables used in the equations that must satisfy both equations.
There are three methods that can be used to solve system of linear equations.
1. Elimination
2. Substitution
3. Graphing
Using substitution method, given two linear equations in x and y,
y = 2x (equation 1)
y = -x + 6 (equation 2)
Since both equations are in the form of y in terms of x ans dome constant, substitute the first equation to the second equation.
y = -x + 6 (equation 2)
2x = -x + 6
Combining the all terms containing the variable x on one side and the constants on the other side of the equality, and solving for x.
2x + x = 6
3x = 6
x = 2
Substituting the value of x in the first equation,
y = 2x (equation 1)
y = 2(2)
y = 4
Writing it as an ordered pair, we got (2 , 4) as the solution of the system of equations involving y = 2x and y = -x + 6.
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Choose the correct numbers in order to have the following output.
31
34
51
54
for numX in [3, +
for numy in [1,
#
print (numX, numy)
Answers
The correct number that represents the output of the print statement is 31
How to determine the correct output of the program segment?The program segment is given as
for numX in [3]
for numy in [1]
print (numX, numy)
The program flow of the above program segment is:
Iterate through the first listIterate through the second listPrint the values of both iterationsIn the above iterations, we have the following values
numX = 3
numY = 1
When both values are printed, we have the output to be 31
Hence, the correct number that represents the output of the print statement is 31
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Answer:
answer 1 = 3,5
answer 2 = 1,4
Step-by-step explanation:
IMPORTANT HELPP
What type of transformation is this? Be specific
Answers
Answer:
Rotation
Step-by-step explanation:
Rotation at the origin (0,0) by 180*
What is the result of adding these two equations?
Answers
The value of the linear equation after adding is -5x -8y = -5.
According to the statement
We have to find that the value of the linear equation.
So, For this purpose, we know that the
The linear equation, statement that a first-degree polynomial—that is, the sum of a set of terms, each of which is the product of a constant and the first power of a variable—is equal to a constant.
From the given information:
The given equations are:
4x-4y = -2
-9x-4y = -3.
Then
Now, add these equations then
4x-4y = -2 + -9x-4y = -3.
4x-9x-4y-4y = -2-3
-5x -8y = -5
After addition ,the value becomes -5x -8y = -5.
So, The value of the linear equation after adding is -5x -8y = -5.
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Evaluate the expression
Answers
Answer:
16
Step-by-step explanation:
Step 1. Plug the numbers into the equation.
Step 2. Solve using PEMDAS
2 ( 6 + 3 ) - 2
2 ( 9 ) - 2
18 - 2
16
2(6+3)-2=
12+6-2=
18-2=
write a two-column proof to verity each conjecture. If -3r+1/2=4, then r=-7/6
Answers
Answer:
7/6
Step-by-step explanation:
PLSSS HELP IF YOU TURLY KNOW THISS
Answers
Answer:
6
Step-by-step explanation:
Ted works as a travel guide for a mountain resort, earning
$15.72 per hour. Ted is paid weekly, and works 40 hours in
one week. His current federal withholding per week is $69.
He works in a state with a flat-rate income tax of 4.63%. He
will receive a raise of 5% of his hourly rate. Determine the
change in Ted's net pay per paycheck, after taxes, if his new
federal withholding per week is $75.
Answers
Ted's net pay per week after the taxes is $559.09
Net Pay:
Net pay means take-home pay or the amount employees earn after all payroll deductions are subtracted from their gross pay.
Given,
Ted works as a travel guide for a mountain resort, earning $15.72 per hour. Ted is paid weekly, and works 40 hours in one week. His current federal withholding per week is $69. He works in a state with a flat-rate income tax of 4.63%. He will receive a raise of 5% of his hourly rate.
Here we need to find the Ted's net pay per paycheck, after taxes, if his new federal withholding per week is $75.
Through the given details we know that,
Per hour pay = $15.72
Total work per week = 40
So, the total amount for a week is
=> 15.72 x 40
=> $628.8
After federal withholding tax, then the amount is
=> $628.8 - 69
=> $559.8
Now the tax is 4.63%, then
=> $559.8 x 4.63%
=> $559.8 x (4.63/100)
=> $25.91
So, the remaining amount is
=> $559.8 - $25.91
=> $533.88
Now, he will receive 5% for his hourly rate,
Then,
=> $15.72 x (5%)
=> $15.72 x (5/100)
=> 0.78
So, the increased amount is
=> $16.5
Now, the net pay is,
=> (16.5 * 40) - (75 + 25.91)
=> 660 - 100.91
=> 599.09
So, Ted's net pay per paycheck, after taxes is $559.09.
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All the data collected in a particular study are referred to as the? inference. variable. data set. population.
Answers
Inference is referred to as all the data collected in a particular study.
What is inference?Etymologically, the word "infer" means to "carry ahead." Inferences are stages in reasoning that connect premises to logical conclusions. The dichotomy between deduction and induction in inference theory, which dates at least to Aristotle in Europe, is a classic one (300s BCE). Deduction is inference that results in logical conclusions from premises that are known to be true or that are presumed to be true, while the logic of correct inference is investigated. A universal conclusion is inferred by induction from specific evidence. Contradistinguishing abduction from induction, Charles Sanders Peirce is credited with identifying a third sort of inference. Researchers in the domains of logic, argumentation studies, and cognitive psychology traditionally study human inference (i.e., how people draw conclusions); artificial intelligence researchers create automated inference systems to mimic human inference.
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Approximate negative thirteen plus square root of seventy to the nearest tenth.
−8.4
−4.6
4.6
8.4
Answers
Answer:-4.6
Step-by-step explanation:
If a pharmacist combined 50-ml portions of thre syrups having specific graveties of 1.10, 1.25, and 1.32, what would be the specific gravity of the combined product?
Answers
The specific gravity of the combined product is 1.22
Specific gravity is the ratio of the density of a substance to the density of some substance (such as pure water) taken as a standard when both densities are obtained by weighing in air.
Given,
The total quantity of portion= 50 ml
Specific gravities of the three syrups = 1.10,1.25 and 1.32
Then,
The specific gravity of the combined product= [tex]\frac{1.10+1.25+1.32}{3}[/tex]
= 1.22
Hence, the specific gravity of the combined product is 1.22.
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While visiting the zoo, Monika has budgeted $10 for lunch at the café. Can she afford a bacon
cheeseburger, large fries and milkshake? Explain.
Answers
The total money Monika spent at the cafe to buy a bacon cheeseburger, large fries and milkshake is $9.9.
Given that, while visiting the zoo, Monika has budgeted $10 for lunch at the café.
How to add decimal numbers?To add decimals, write the numbers in a column, and make sure that the decimal points are aligned. To keep the decimal point in your sum, place a decimal point directly below the decimal points in the addends. Align the decimal point in the sum with the decimal point in the addends, and add a zero if necessary.
Cost of a Cheeseburger= $4.75
Cost of a french fries, a large = $1.90
Cost of a milkshake = $3.25.
Now, the total amount spent at the cafe = Cost of a Cheeseburger + Cost of a french fries, a large + Cost of a milkshake
= (4.75+1.90)+3.25
=6.65 + 3.25
=$9.9
Therefore, the total money Monika spent at the cafe to buy a bacon cheeseburger, large fries and milkshake is $9.9.
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"Your question is incomplete, probably the complete question/missing part is:"
While visiting the zoo, Monika has budgeted $10 for lunch at the café. Can she afford a bacon cheeseburger, large fries and milkshake? Explain.
The cost of food items available at cafe are listed below:
Sandwiches Sides Beverages
Hamburger $3.25
Bacon Cheeseburger $4.75
Chicken Fajita Taco $3.50
French Fries, Small $1.55
French Fries, Large $1.90
Onion Rings $2.40
Cole Slaw $1.45
Soft Drink, Small $1.30
Soft Drink, Large $1.65
Milkshake $3.25
Juice $1.80
Find the coordinates of the midpoint of a segment with the given endpoints.
C(22,4), B(15,7)
Answers
The location of the midpoint of the line segment is (37 / 2, 11 / 2).
How to determine the location of the midpoint in a line segment
According to the statement, the position of the two endpoints of a line segment are known and we must determine where the midpoint is, that is, the point such that the line segment is divided into two parts of equal length. The location of the midpoint is found by means of the midpoint formula:
M(x, y) = 0.5 · B(x, y) + C(x, y)
Where M(x, y) is the midpoint.
If we know that B(x, y) = (15, 7) and C(x, y) = (22, 4), then the location of the midpoint is:
M(x, y) = 0.5 · (15, 7) + 0.5 · (22, 4)
M(x, y) = (15 / 2, 7 / 2) + (11, 2)
M(x, y) = (37 / 2, 11 / 2)
The location of the midpoint of the line segment is (37 / 2, 11 / 2).
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The cost of 2 kg of mushrooms and 2.5 kg of turnips is £8.55. The cost of 3 kg of mushrooms and 4 kg of turnips is £13.10. Work out the cost of a) 1 kg of turnips. b) 1 kg of mushrooms.
Answers
The solution to the system of linear equations shows that the cost of 1 kg of turnips is £ 1.1 and the cost of 1kg of mushrooms is £ 2.9.
System of EquationsA system of equations is the given term of math for two or more equations with the same variables. The solution of these equations represents the point of the intersection.
You can solve a system of equations by substitution or adding methods. In the addition method, you eliminate a variable, on the other hand, in the substitution method you replace a variable for the other.
First, you should convert the text of the problem into equations, thus you can write:
2m + 2.5t = 8.55 (1)
3m + 4t = 13.10 (2)
where: m = mushrooms and t = turnips
For solving this question, you can apply the addition method. Thus, you should follow the steps below:
Multiply equation 1 by 3 and equation 2 by -2, thus you can rewrite the equations as shown below6m + 7.5t = 25.65 (1)
-6m -8t = -26.20 (2)
Sum equations 1 and 2 and find t-0.5t = -0.55
0.5t = 0.55
Finding mFrom equation 1, you have 6m+7.5t=25.65 . If t= 11/10, you have
6m + 7.5*11/10 = 25.65 * (100)
600 m + 825 = 2565
600 m = 2565 -825
600 m = 1740
m = 1740/600
m=29/10
m=2.9
From the previous steps, you have the answers for the letter a ( £ 2.9 ) and the letter b ( £ 1.1).
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Factorise a^2/8 - b^2/18
Answers
Step-by-step explanation:
answer=((a/(2× sqrt 2))+(b/(3× sqrt)))((a/(2× sqrt 2))-(b/(3× sqrt 2)))
method-difference of two squares
7. Mrs. Jackson's class reads for a total
of 1,544 minutes one day. Each of her
32 students read the same number of
minutes. How many minutes did each
student read?
Answers
Answer:
48.25 minutes
Step-by-step explanation:
Divide 1544/32 to find the time per student
MATH GENUISES HELP ME OUT WITH MY QUESTIONS PLEASE!
Answers
Answer:
Equation: P=$2500+$120N
Total pay if Miguel sells 23 copies: $5260
Malcolm got his first job. His wage in his first year was $12.50 an hour. In year 2, it was raised to $13.20 an hour. What was the percent increase in his hourly wage between year 1 and year 2?
Answers
Answer:
5.6%
Step-by-step explanation:
1) Find the difference between the initial and final values
In this case, a man's hourly wage increased from $12.50 to $13.20. The difference between the hourly wages is $13.20 - $12.50 = $0.70.
2) Divide the difference by the initial value
$12.50 is the initial hourly wage
($0.70 ÷ $12.50) = 0.56
3) Convert the quotient to a percentage
0.56 x 100 = 56%
The man's hourly wage increased by 56%.
Hope this helps, have a great day!
The percentage is the change with respect to the original amount increase in his hourly wage between year 1 and year 2 will be 5.6%.
What is the percentage?The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.
As per the given,
The hourly wage in year 1 = $12.50 an hour
The hourly wage in year 2 = $13.20 an hour
Percentage = change / initial
Percentage = (13.20 - 12.50)/12.50
Percentage = 0.7/12.50
Percentage = 0.056
⇒ 0.056 × 100 = 5.6%
Hence "The percentage is the change with respect to the original amount increase in his hourly wage between year 1 and year 2 will be 5.6%".
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Question 7(Multiple Choice Worth 1 points)
(02.01 MC)
One of the factors of 8x3 - 800x is
O 8x
Ox+10
Ox-10
O All of the above
Answers
The factor of the given expression 8x³ - 800x is (A) 8x.
What are the factors?A factor is a number that is multiplied by another number to produce the desired result. The answer to a multiplication puzzle is a product. Imagine multiplying the factors in a multiplication problem to get the answer. For instance, factors 2 and 4 add up to 8: Just two factors or a great many factors can affect a number.In mathematics, a factor is a number or algebraic expression that divides another number or expression evenly, leaving no remainder. Due to the fact that 12 ÷ 3 = 4 and 12 ÷ 6 = 2, respectively, they are factors of 12 as well.1, 2, 4, and 12 make up the remaining 12 factors.So, 8x³ - 800x:
8x³ - 800x ⇒ take the common8x(x² - 100)As a result, (A) 8x is the expression's factor.
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The correct question is given below:
Question 7(Multiple Choice Worth 1 point)
(02.01 MC)
One of the factors of 8x3 - 800x is
A. 8x
B. x+10
C. x-10
D.All of the above
what would be the value of the sum of squares due to regression (ssr) if the total sum of squares (sst) is 25.32 and the sum of squares due to error (sse) is 6.89? a. 19.32 b. 15.32 c. 18.43 d. 31.89
Answers
The value of the sum of squares due to regression (ssr) if the total sum of squares (sst) is 25.32 and the sum of squares due to error (sse) is 31.89
What is regression?Regression is a statistical technique used in the fields of finance, investing, and other disciplines that aims to establish the nature and strength of the connection between a single dependent variable (often represented by Y) and a number of independent variables (known as independent variables).
The most popular variation of this method is linear regression, which is also known as simple regression or ordinary least squares (OLS).
Linear regression determines the actual linear relationship between two variables based on a line of best fit. As a result, the slope of a straight line was used to depict linear regression indicating how altering one variable impacts modifying another. In a linear regression connection, the value of one variable when the value of the other is zero is represented by the y-intercept.
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Two motorcyclist start at the same point and travel in opposite directions. One travels 8 miles an hour faster than the other. In 3 hours they are 288 miles apart how fast is each traveling
Answers
Answer:
One motorcycle was going 44 miles and hour and the other motorcycle was going 8 miles an hour faster, so it was going 52 miles per hour.
Step-by-step explanation:
Distance = rate times time
Both motorcycles have a time of 3. We do not know the rates, but we know that one motorcycle's rate was 8 miles an hour faster. Let's call motorcycle 1's rate x then motorcycle 2's rate must be (x + 3)
Motorcycle 1
d = 3x
Motorcycle 2
d = 3(x +8)
We know that the total distance together is 288
3x + 3(x+8) = 288 Distribute the 3
3x + 3x + 24 = 288 Combine the 3's
6x + 24 = 288 Subtract 24 from both sides of the equation
6x = 264 Divide both sides by 6
x = 44
One motorcycle was going 44 miles and hour and the other motorcycle was going 8 miles an hour faster, so it was going 52 miles per hour.
This is due at the end of the day please help
Answers
Answer:
Step-by-step explanation:
the answer is 8
8 shipping cost
8 + X = Y
39.
Gregory planted a lemon tree in his back yard. When he planted the tree, it was 2 feet tall. He noticed that it has been growing
eTool (Desmos) Homework Help
a. Create multiple representations (→y table, graph, and equation) to represent the relationship between the days that ha
tree.
b. If the tree continues growing at this rate, when will it be 6 feet tall? How can you see this in each of the representations?
c. State the possible inputs and outputs of the graph.
Answers
Solve for T
1 < 4 - t
-
Answers
Answer:
[tex] \sf \large \: t<3[/tex]
Step-by-step explanation:
Let's solve your inequality step-by-step.
1<4−t
Step 1: Simplify both sides of the inequality.
1<−t+4
Step 2: Flip the equation.
−t+4>1
Step 3: Subtract 4 from both sides.
−t+4−4>1−4
−t>−3
Step 4: Divide both sides by -1.
−t/−1 > −3/−1
t<3
The ratio of the measures of the three sides of a triangle is 3: 7: 5 , and its perimeter is 156.8 meters. Find the measure of each side.
Answers
Answer:
31.36m, 73.2m, 52.3m respectively
Step-by-step explanation:
9p³q¹(3p³ - 5q) please help
Answers
After simplifying the given expression 9 p³ q¹ ( 3 p³ - 5 q ), we get 27 p⁶ q - 45 p³q².
We are given that:
9p³q¹(3p³ - 5q)
We need to simplify it:
So, we get that:
= ( 9 p³q¹ × 3 p³ ) - ( 9 p³q¹ × 5 q )
Simplify:
= 27 p³⁺³q - 45 p³q¹⁺¹
Simplifying it, we get that:
= 27 p⁶ q - 45 p³q²
Therefore, after simplifying the expression 9 p³q¹ ( 3 p³ - 5q ), we get 27 p⁶ q - 45 p³ q².
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Divide
266 divided by 15
Hint: The remainder is not a decimal it is the number that is leftover and can no longer be divided
Answers
17. The remainder is 11
I showed my work here
https://witeboard.com/537d7850-38f8-11ed-b5a9-6540cf185f3a
Answer:
17, remainder 11
____________
Long Division[tex]Borrow\:6\:from\:the\:ones\:place\\=26\\= 26 - 15(15 \cdot 1)\\= 11\\Drop\:the\:borrowed\:6\\= 116\\= 116 - 105(15 \cdot 7)\\= 11\\\\Using\:the\:numbers\:we\:multiplied\:\:the\:divisor\:by,\\we\:got\:17.\:So\:our\:answer\:would\:be\:17\:with\:a\:remainder\:of\:11.[/tex]
____________
Follow the 3 steps:
➪ Hope this helps!
➪ Notify me of any concerns.
➪ Have a great day.
SHOW WORK!!!!!!!!!!!!!!!!
AC = x +3, BC= 8, and AB= 2x-11. Find X
ABC are collinear. Point B is between A and C
Answers
Answer:
[tex]{ \rm{ac = ab + bc}} \\ { \rm{(x + 3) = (2x - 11) + 8}} \\ { \rm{2x - x = 3 + 11 - 8}} \\ { \rm{x = 6}}[/tex]
Given h(x) = 4x + 2, find h(5).
Answers
Answer:
22
Step-by-step explanation:
4(5)=20
20+2=22
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Answer:
22 is correct
Step-by-step explanation: