Answer:
60% of the marathon
Step-by-step explanation:
Which of the following lists of data has the largest standard deviation?
To determine which data set has the largest standard deviation you have to calculate and compare the standard deviation of each sample. The standard deviation is the square root of the variance, so first, you have to calculate the variance of each sample using the following formula:
\(S^2=\frac{1}{n-1}\lbrack\Sigma x^2_i-\frac{(\Sigma x_i)^2}{n}\rbrack\)Where
∑xi is the sum of the observations
∑xi² is the sum of the squares of the observations
n is the sample size
Sample 1
Variance
n=10
\(\begin{gathered} \Sigma x_i=22+25+25+22+25+23+24+23+26+24 \\ \Sigma x_i=239 \end{gathered}\)\(\begin{gathered} \Sigma x^2_i=22^2+25^2+25^2+22^2+25^2+23^2+24^2+23^2+26^2+24^2 \\ \Sigma x^2_i=5729 \end{gathered}\)\(\begin{gathered} S^2_1=\frac{1}{10-1}\lbrack5729-\frac{(239)^2}{10}\rbrack \\ S^2_1=\frac{1}{9}\lbrack5729-5712.1\rbrack \\ S^2_1=\frac{1}{9}16.9 \\ S^2_1=1.88 \end{gathered}\)Standard deviation
\(\begin{gathered} S_1=\sqrt[]{S^2_1} \\ S_1=\sqrt[]{1.88} \\ S_1=1.37 \end{gathered}\)Sample 2
Variance
n=10
\(\begin{gathered} \Sigma x_i=13+11+11+11+10+14+14+10+11+11 \\ \Sigma x_i=116 \end{gathered}\)\(\begin{gathered} \Sigma x^2_i=13^2+11^2+11^2+11^2+10^2+14^2+14^2+10^2+11^2+11^2 \\ \Sigma x^2_i=1366 \end{gathered}\)\(\begin{gathered} S^2_2=\frac{1}{10-1}\lbrack1366-\frac{(116)^2}{10}\rbrack \\ S^2_2=\frac{1}{9}\lbrack1366-1345.6\rbrack \\ S^2_2=\frac{1}{9}\cdot20.4 \\ S^2_2=2.27 \end{gathered}\)Standard deviation
\(\begin{gathered} S_2=\sqrt[]{S^2_2} \\ S_2=\sqrt[]{2.27} \\ S_2=1.51 \end{gathered}\)Sample 3
Variance
n=10
\(\begin{gathered} \Sigma x_i=16+14+15+15+16+16+15+16+18+14 \\ \Sigma x_i=155 \end{gathered}\)\(\begin{gathered} \Sigma x^2_i=16^2+14^2+15^2+15^2+16^2+16^2+15^2+16^2+18^2+14^2 \\ \Sigma x^2_1=2415 \end{gathered}\)\(\begin{gathered} S^2_3=\frac{1}{10-1}\lbrack2415-\frac{(155)^2}{10}\rbrack \\ S^2_3=\frac{1}{9}\lbrack2415-2402.5\rbrack \\ S^2_3=\frac{1}{9}\cdot12.5 \\ S^2_3=1.39 \end{gathered}\)Standard deviation
\(\begin{gathered} S_3=\sqrt[]{S^2_3} \\ S_3=\sqrt[]{1.39} \\ S_3=1.18 \end{gathered}\)Sample 4
Variance
n=10
\(\begin{gathered} \Sigma x_i=25+23+25+22+21+25+22+21+25+23 \\ \Sigma x_i=232 \end{gathered}\)\(\begin{gathered} \Sigma x^2_i=25^2+23^2+25^2+22^2+21^2+25^2+22^2+21^2+25^2+23^2 \\ \Sigma x^2_i=5408 \end{gathered}\)\(\begin{gathered} S^2_4=\frac{1}{10-1}\lbrack5408-\frac{(232)^2}{10}\rbrack \\ S^2_4=\frac{1}{9}\lbrack5408-5382.4\rbrack \\ S^2_4=\frac{1}{9}\cdot25.6 \\ S^2_4=2.84 \end{gathered}\)Standard deviation
\(\begin{gathered} S_4=\sqrt[]{S^2_4} \\ S_4=\sqrt[]{2.84} \\ S_4=1.69 \end{gathered}\)Sample 5
Variance
n=10
\(\begin{gathered} \Sigma x_i=7+14+19+18+4+16+5+11+11+12 \\ \Sigma x_i=117 \end{gathered}\)\(\begin{gathered} \Sigma x^2_i=7^2+14^2+19^2+18^2+4^2+16^2+5^2+11^2+11^2+12^2 \\ \Sigma x^2_i=1613 \end{gathered}\)\(\begin{gathered} S^2_5=\frac{1}{10-1}\lbrack1613-\frac{(117)^2}{10}\rbrack \\ S^2_5=\frac{1}{9}\lbrack1613-1368.9\rbrack \\ S^2_5=\frac{1}{9}\cdot244.1 \\ S^2_5=27.12 \end{gathered}\)Standard deviation
\(\begin{gathered} S_5=\sqrt[]{S^2_5} \\ S_5=\sqrt[]{27.12} \\ S_5=5.21 \end{gathered}\)The standard deviations of the five samples are:
\(\begin{gathered} S_1=1.37 \\ S_2=1.51 \\ S_3=1.18 \\ S_4=1.69 \\ S_5=5.21 \end{gathered}\)The sample with the largest standard deviation is the fifth one
Which of the following ordered pairs is a solution to the inequality y is greater than one fourth times x plus 5? (12, 8) (11, 7) (8, 6) (4, 7)
The ordered pair that is a solution to the inequality:
y > (1/4)*x + 5
is (4, 7)
Which of the given ordered pairs is a solution for the inequality?Here we have the inequality:
y > (1/4)*x + 5
To check if an ordered pair is a solution, we just need to replace the values of the ordered pair on the inequality and see if it is true.
For example, for (12, 8)
We will get:
8 > (1/4)*12 + 5
8 > 3 + 5
8 > 8
This is false, so (12, 8) is not a solution.
The pair that is a solution is:
(4, 7)
7 > (1/4)*4 + 5
7 > 1 + 5
7 > 6
This is true.
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Work out the size of angle x
Pls help thx !
Answer:
83
Step-by-step explanation:
not sure tho____________
Answer:
83 degrees
Step-by-step explanation:
The exterior angle of a triangle can be find by adding up the two inner angles that are not adjacent, so
43 + x = 126
x = 83 degrees
Second way
exterior angle + inner angle = 180
126 + inner angle = 180
inner angle = 54
the sum of the inner angles of a triangle is 180 degrees
54 + 43 + x = 180
97 + x = 180
x = 83 degrees
pls helpp WITCH TYPES OF ANGLES ARE IN EACH OF THEESE QUADRILLETARLIS
Answer:
Acute and Obtuse
Step-by-step explanation:
How do you dilate points at a point?
To dilate a point at a point, you start by selecting a center of dilation and a scale factor.
Then, for each point that you want to dilate, you do the following:
Draw a line segment from the center of dilation to the point.Multiply the length of this line segment by the scale factor.Draw a line segment from the center of dilation to the new point, using the length that you just calculated.The new point is the point that you arrive at when you complete this line segment.For example, if you wanted to dilate point P by a scale factor of 2, with the center of dilation at O, you would draw a line segment from O to P, double its length, and then draw a new line segment from O to the new point, using the new length that you calculated. The new point would be the point that you arrive at when you complete this line segment.
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Find the slope of a line that contains the points A(−8,3)and B(−4,6)
Answer:
You have to use the formula:
(y-y1)/(y2-y1) =(x-x1)/(x2-x1). So draw a graph and place the points A and B on the Graph, then put the numbers in the formula. A(-8=x1, 3= y1), B(-4=x2,6=y2). You will get the formula and consequently the slope.
Subtract
1/13
31
55
62
110
2
3/5
55
7
10
-
3
22. Simplify the answer.
When we subtract 3 from 22, the simplified answer is 19. The subtraction operation involves removing or deducting one value from another, resulting in the difference between the two quantities.
To subtract 3 from 22, we can perform the subtraction operation as follows:
22
3
19
We align the numbers vertically and subtract each corresponding place value from right to left. In this case, subtracting 3 from 2 requires borrowing or regrouping. However, since 2 is greater than 3, we can directly subtract 3 from 2 and write the difference, which is 1, in the one's place.
Therefore, the simplified answer is 19.
The subtraction process involves taking away or removing a certain quantity from another. In this case, we subtracted 3 from 22, resulting in a difference of 19. The process of simplifying the answer is simply expressing the result in its most concise and reduced form.
By subtracting 3 from 22, we removed 3 units from the original value of 22, leaving us with 19. This can be visualized as taking away three objects from a group of 22 objects, resulting in a remaining count of 19.
In summary, when we subtract 3 from 22, the simplified answer is 19. The subtraction operation involves removing or deducting one value from another, resulting in the difference between the two quantities.
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draw a model that shows 26 pack of candy bars divided equally among 7 people how many candy bars will each person have? Also it’s like this
An athlete throws her javelin 9.5 yards. She throws it this distance 2 times. How far she throw her javelin in total
Answer: 19 yards
Step-by-step explanation: 9.5x2=19
air is pumped into a spherical balloon, so the balloon expands. the volume of a sphere of radius r is . if the radius of the sphere after seconds is centimeters, at what rate is air being pumped in when ?
The rate at which air is being pumped in when the radius of the sphere is 10 cm and increasing at a rate of 2 cm/s is 400π/3 cm³/s.
The volume V of a sphere with radius r is given by V = (4/3)πr³. Taking the derivative of this expression with respect to time t, we get dV/dt = 4πr²(dr/dt). This equation relates the rate of change of volume to the rate of change of the radius. We are given that the radius is increasing at a rate of 2 cm/s, so dr/dt = 2 cm/s.
At the instant when the radius is 10 cm, we can find the rate at which air is being pumped in by substituting r = 10 cm and dr/dt = 2 cm/s into the equation for dV/dt. Thus, we have dV/dt = 4π(10)²(2) = 800π cm³/s.
Therefore, when the radius of the spherical balloon is 10 cm and is increasing at a rate of 2 cm/s, the rate at which air is being pumped in is 400π/3 cubic centimeters per second.
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A heavy rope, 50 ft long, weighs 0.5 lb/ft and hangs over the edge of a building 120 ft high.
(a) How much work is done in pulling the rope to the top of the building?
(b) How much work is done in pulling half the rope to the top of the building?
A bookstore had 70 copies of a magazine. Yesterday, it sold 1/5 of them. Today, it sold 5/7 of what remained. How many copies does the bookstore have left?
Answer: 16
Step-by-step explanation:
1/5 x 70 = 14
70 - 14 = 56
5/7 x 56 = 40
56 - 40 = 16
Answer:
16
Step-by-step explanation:
Yesterday, the bookstore sold 1/5 of the 70 copies, which is 70 * 1/5 = 14 copies.
After selling 14 copies, the bookstore was left with 70 - 14 = 56 copies.
Today, the bookstore sold 5/7 of what remained, which is 5/7 * 56 = 40 copies.
So, the bookstore has 56 - 40 = 16 copies left.
A factory makes 640brushes in 4 hours.Does the equation y=150x model the number of brushes made each hour?
Answer:
No it doesn't
Step-by-step explanation:
The equation we have is
Y = 150x
We have x = 4 hours
This is a simple question. We have to plug in the x = 4 in the equation to find out if we would have 640 brushes. If y = 640, then it models it. But if y is not equal to 640, it doesn't.
So let's solve this to see for ourselves.
Y = 150(x)
We put the value of x
Y = 150(4)
Y = 600
So we can see that the equation does not model the number of brushes made each hour. This equation models 600 brushes and not 640.
HELPPP!! PLEASE!!!!!
Answer:
y=15x
Step-by-step explanation:
Divide the change in y components of two points by the change in x components of a the points
60-30/4-2
30/2
=15
x=1
y=15
Equation: y=15x
I hope this helps :)
(someone please let me know if I'm incorrect and submit the correct answer)
Two students wrote the equations shown below.
Erica Aliyah
y = -0.5x y = 2.5x - 8
Which statement is true?
A Graphs of both equations will pass through the origin.
B Only Erica’s equation is proportional.
C Both equations have a negative slope.
D Only Aliyah's is proportional
Only Erica's equation (y = -0.5x) is proportional
What is an equation?An equation is used to show the relationship between numbers and variables.
The standard form of a linear equation graph is:
y = mx + b
Where m is the slope of the line and b is the y intercept.
Given the Erica equation:
y = -0.5x
The slope is -0.5, hence it is a negative slope and the intercept is at 0, hence it passes through the origin and is proportional
Given the Aliyah equation:
y = 2.5x - 8
The slope is 2.5, hence it is a positive slope and the intercept is at -8, hence it does not pass through the origin and is not proportional
Both equations are linear equations
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Find the sum of (-109) and 312, subtract (150)
Answer:
the answer is 62
Step-by-step explanation:
-109+321-150
212-150
62
In the island nation of Autarka there are two amusement parks: Alfonso's Wonderland and Bernice's Wild Rides. The amusement parks are located at either end of the island, 1km apart.
Recently, a third rm, VendorCorp, has developed a new automation technology which promises to improve the eciency of amusement park rides. VendorCorp is o ering to sell the exclusive rights to this technology, and has asked the two parks to submit bids.
The new technology promises to reduce the marginal cost of operating rides for a customer by $6. However, experience in other countries has shown that, in about 30% of amusement parks, the technology encounters compatibility issues and only reduces the marginal cost by $3. Unfortunately, there is no way to know whether these issues will be encountered until the technology is installed.
In Autarka there are 9600 people who like to visit an amusement park. Each of these consumers wants to visit one park once. The consumers' homes are evenly spaced across the island, and they each su er a disutility of $24 for each kilometre they travel to reach an amusement park.
With their current technology, it costs an amusement park $12 for each customer they host. At present, the equilibrium price for an amusement park ticket is $36, and each rm has a pro t of $115,200.
This market is best modelled as Hotelling competition. You should neglect xed costs throughout your analysis.
Note: For the purp oses of this assignment you should treat this market as a one- shot game. Do not consider rep etition or asso ciated phenomena such as collusion or predatory pricing.
2.1 Your task
You have been hired by Alfonso's Wonderland to analyse the business case for purchasing the exclusive rights to the automation technology. You have been asked to determine:
The maximum price Alfonso's Wonderland should be willing to pay for the technology.
The price that Alfonso's Wonderland is likely to have to pay if it is successful.
The consequences for Alfonso's Wonderland if Bernice's Wild Rides purchases the exclusive rights instead of Alfonso's Wonderland.
In the analysis section you must complete each of the steps detailed below. When com-pleting the steps you must:
Step 1: Derive an expression for the location of the indi erent consumer. Use PA to represent the price of admission at Alfonso's Wonderland, and PBto represent the price of admission at Bernice's Wild Rides. (2 marks)
Step 2: Find the pro t function for Bernice's Wild Rides. You should assume that Ber- nice's marginal cost is $12. (4 marks)
Step 3: Find Bernice's best-response function. (4 marks)
Step 4: Find the pro t function for Alfonso's Wonderland for the case in which their marginal cost is $6. (4 marks)
Step 5: Find the best-response function for Alfonso's Wonderland for the case in which their marginal cost is $6. (4 marks)
Step 6: Find the equilibrium prices and pro ts for the case in which Alfonso's marginal cost is $6 and Bernice's marginal cost is $12. (7 marks)
Step 7: Find the pro t function for Alfonso's Wonderland for the case in which their marginal cost is $9. (4 marks)
Step 8: Find the best-response function for Alfonso's Wonderland for the case in which their marginal cost is $9. (4 marks)
Step 9: Find the equilibrium prices and pro ts for the case in which Alfonso's marginal cost is $9 and Bernice's marginal cost is $12. (7 marks)
The expression is x = (PA - PB) / (2 * (24 + 12)).Alfonso's marginal cost is $9 and Bernice's marginal cost is $12.Alfonso's best-response function can be determined by maximizing profit function with respect to PA.
The expression for the location of the indifferent consumer can be derived using the Hotelling model, where the consumer is equidistant between the two parks. Let x represent the distance from Alfonso's Wonderland. The expression is x = (PA - PB) / (2 * (24 + 12)).
The profit function for Bernice's Wild Rides can be found by subtracting the marginal cost of $12 from the revenue function, which is equal to the price PB multiplied by the number of customers.
Bernice's best-response function can be determined by maximizing their profit function with respect to PB.
The profit function for Alfonso's Wonderland, with a marginal cost of $6, can be found similarly by subtracting the marginal cost from the revenue function, which is equal to the price PA multiplied by the number of customers.
Alfonso's best-response function can be determined by maximizing their profit function with respect to PA.
The equilibrium prices and profits can be found by solving the simultaneous equations formed by the best-response functions of both parks.
Repeat steps 4 and 5 for the case where Alfonso's marginal cost is $9.
Repeat step 6 for the case where Alfonso's marginal cost is $9 and Bernice's marginal cost is $12.
By following these steps, we can determine the maximum price Alfonso's Wonderland should pay, the likely price they will have to pay, and the consequences of Bernice's Wild Rides acquiring the exclusive rights.
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Cole earned $590.00 at work last week, before spending n
dollars on the weekend. Which expression represents the
amount of money Cole had after the weekend?
Answer:
$590.00 - n = A
N = number of dollars spent
A = amount he had left over.
A CPA was engaged to calculate the rate of return on a specified investment according to an agreed-upon formula and verify that the resultant percentage agrees to the percentage in an identified schedule. The CPA's report on these agreed-upon procedures should contain
After considering the given data and carefully evaluating the given circumstances we conclude that the satisfactory answer to the given question is Option D.
According to Certified Public Account (CPA) Canada, the agreed-upon and fulfillment system regarding the procedures report must comprises identification and explanation of the various parties involved in the AUP engagement.
The report on an engagement places of applying agreed-upon procedures must have a statement of restrictions on the use of the report due to its cause of being used solely by the specified parties.
Hence, the answer is D) A disclaimer of responsibility for the sufficiency of these procedures.
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The complete question is
A CPA was engaged to calculate the rate of return on a specific investment according to an agreed-upon formula and verify that resultant percentage agrees to the percentage in an identified schedule. The CPA's report on these agreed-upon procedures should contain:
Multiple Choice
A) A disclaimer of opinion on the fair presentation of the financial statements.
B) An opinion about the fairness of the agreed-upon procedures,
C) A separate paragraph describing the effectiveness of the internal controls.
D) A disclaimer of responsibility for the sufficiency of these procedures.
Let a, b, c, and d be constants. Describe the possible solution sets of the inequality ax + b < cx + d.
The requried, possible solution sets of the inequality ax + b < cx + d is x < (d - b)/(a-c).
What is inequality?Inequality can be defined as the relation of the equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.
Here,
To describe the possible solution sets of the inequality ax + b < cx + d, we need to isolate the variable x on one side of the inequality and simplify.
ax + b < cx + d
ax - cx < d - b
x(a-c) < d - b
x < (d - b)/(a-c)
So the solution set for the inequality is all values of x that are less than the quotient of (d - b) divided by (a-c).
Therefore, the possible solution sets of the inequality ax + b < cx + d is x < (d - b)/(a-c).
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What is the quotient of three and two thirds divided by 3 fifths?
quotient = the answer to a division problem
ex. 6/3 = 2The quotient of 6 and 3 is 2.To divide by a fraction, multiply by the reciprocal of the fraction
reciprocal of a fraction = the numerator and denominator are reversed
Solving the QuestionFirst, convert "three and two thirds" into an improper fraction:
\(3\dfrac{2}{3}\)
⇒ Multiply the whole number by the denominator and add the numerator:
\(\dfrac{11}{3}\)
Now, we want to divide this number by three fifths:
\(\dfrac{11}{3}\div\dfrac{3}{5}\)
⇒ Dividing by a fraction is the same as multiplying by its reciprocal:
\(= \dfrac{11}{3}\times\dfrac{5}{3}\\\\=\dfrac{55}{9}\)
Answer\(\dfrac{55}{9}\)
theannswer wold be 100 .33 .87
Why do scientists consider RNA the best candidate for the first life-form? Question 13 options: RNA is capable of self-replication and catalysis. RNA has been created in the lab. RNA carries more information than other molecules. RNA is a simple structure.
RNA's capability to self-replicate and catalyze chemical reactions make it the best candidate for the first life-form.
According to the scientists, RNA is considered the best candidate for the first life-form due to the fact that RNA is capable of self-replication and catalysis. This is possible because RNA can act both as a template to produce copies of itself and also as an enzyme to accelerate chemical reactions. These abilities suggest that RNA could have played a role in the emergence of the first living organisms on Earth.
An RNA molecule has the ability to catalyze reactions, which means that it can speed up chemical reactions without itself being altered. Thus, it is capable of serving as an enzyme. Scientists believe that the first life-form must have been capable of self-replication and catalysis, and RNA is capable of both functions.
This capability is significant because it is fundamental for the origin of life. Hence, RNA is believed to have played a significant role in the emergence of the first living organisms on Earth.
To conclude, RNA's capability to self-replicate and catalyze chemical reactions make it the best candidate for the first life-form.
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RNA is considered the best candidate for the first life-form by scientists because RNA is capable of self-replication and catalysis.
The correct option is the first one due to following reasons:
RNA is capable of self-replication and catalysis. RNA is a nucleic acid composed of nucleotides that are linked through a sugar-phosphate backbone. It can serve as a template for the production of complementary strands, making it capable of self-replication. Furthermore, RNA molecules can act as catalysts, facilitating chemical reactions in the absence of enzymes.RNA is more versatile than other molecules because it is able to store genetic information and catalyze reactions. In the lab, RNA has been created to catalyze reactions and replicate, providing evidence of its capacity for self-replication and catalysis.As a result, scientists believe that RNA may have played a crucial role in the origins of life on Earth.
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Please I need step by step solution.
According to the given system which one is equal to x + y + z ?
x-y-3z=1
2x+y+2z=3
-x+2y+3z=4
A) 8 B) 4 C) 2 D) 1
Answer: C
Step-by-step explanation:
A statistics teacher was reading through a summary of his electric usage for the previous year. Typ temperatures for each month were included in the summary and the teacher became curious about the dist of those temperatures. Here are the data (measured in degrees Fahrenheit). 22,31,64,64,42,81,79,71,79,79,52,38 a. Find the median. Interpret this value in context. b. Calculate the mean high temperature from last year. Show your work. c. Which measure of center better describes a typical high temperature? Justify your answer.
a. The median is 58. b. The mean high temperature from last year is 61 degrees Fahrenheit. c. If there are extreme temperatures or outliers in the dataset, the median would be a better measure of center to describe a typical high temperature.
a. To find the median of the temperature data, we need to arrange the temperatures in ascending order:
22, 31, 38, 42, 52, 64, 64, 71, 79, 79, 79, 81
Since there are 12 observations, the median is the middle value. In this case, there is no exact middle value as there are an even number of observations. In such cases, we take the average of the two middle values. Therefore, the median is:
Median = (52 + 64) / 2 = 58
Interpretation: The median temperature is 58 degrees Fahrenheit. This means that half of the recorded temperatures were below 58 degrees, and the other half were above 58 degrees. It represents the midpoint of the temperature distribution, indicating that 50% of the temperatures were lower than 58 degrees and 50% were higher.
b. To calculate the mean high temperature from last year, we sum up all the temperatures and divide by the total number of observations:
Sum of temperatures = 22 + 31 + 64 + 64 + 42 + 81 + 79 + 71 + 79 + 79 + 52 + 38 = 732
Mean high temperature = Sum of temperatures / Number of observations = 732 / 12 = 61 degrees Fahrenheit
c. In this case, the better measure of center to describe a typical high temperature depends on the specific characteristics of the data. Both the mean and median have their advantages:
- Mean: The mean is influenced by extreme values or outliers. If there are extreme temperatures that are significantly higher or lower than the rest of the data, the mean may be affected and may not represent a typical high temperature accurately.
- Median: The median is not affected by extreme values or outliers. It represents the middle value of the data when arranged in ascending order. It is a robust measure of center and can provide a more accurate representation of a typical high temperature, especially if there are extreme values present in the data.
Therefore, if there are extreme temperatures or outliers in the dataset, the median would be a better measure of center to describe a typical high temperature. However, if the dataset does not contain extreme values or outliers, the mean can also be an appropriate measure of center.
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3 3/7 divided 4 4/5+1 1/7 * 4 3/8
Answer:
40/7
Step-by-step explanation:
3 3/7 divided 4 4/5+1 1/7 * 4 3/8
3 3/7 = 24/7
4 4/5 = 24/5
1 1/7 = 8/7
4 3/8 = 35/8
So, our equation is
24/7 divided 24/5 + 8/7 · 35/8
120/168 + 8/7 · 35/8
120/168 + 280/56
120/168 + 840/168
960/168
240/42
120/21
40/7
help me human..... :(
Answer:
D
Step-by-step explanation:
a gradient is... group of answer choices a contour connecting equal values an area of minimum value (lowest temperature, pressure, etc.) an area of maximum value (highest temperature, pressure, etc.) the change in a variable over a certain distance
Gradients are an important concept in many fields of science and engineering, providing a quantitative measure of how a particular variable changes over space or time.
A gradient is a term used in mathematics and physics to describe the change in a variable over a certain distance. It refers to the rate at which a variable changes as you move from one point to another. In the context of temperature, for example, a temperature gradient would describe how the temperature changes as you move from one location to another. This can help in understanding the spatial distribution of temperature and other variables in various contexts, such as weather forecasting, climate studies, or even engineering applications.
A gradient is a measure of change in a variable, like temperature or pressure, over a specified distance, providing valuable information about the spatial distribution and variations in these variables.
A gradient can be positive, indicating an increase in the variable as you move in a particular direction, or negative, indicating a decrease. In the case of temperature, a positive gradient would mean that the temperature is increasing as you move in a particular direction, while a negative gradient would mean that the temperature is decreasing.
One important application of gradients is in the study of heat transfer. The rate at which heat flows from one location to another is proportional to the temperature gradient between the two locations. In other words, the greater the difference in temperature between two points, the faster heat will flow between them.
Overall, gradients are an important concept in many fields of science and engineering, providing a quantitative measure of how a particular variable changes over space or time.
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(b) suppose you want to estimate the average age of all boeing 727 airplanes now in active domestic u.s. service. you want to be 95% confident and you want a margin of error of 2 years. suppose the population standard deviation is 6.24 years. how large a sample should you take?
37.40 is large a sample should you take in confidence interval.
What does confidence interval mean?
Your estimate's mean plus and minus the range of that estimate's fluctuation is called a confidence interval. If you repeat your test, you can expect your estimate to fall between these numbers with a reasonable degree of certainty. In statistics, confidence is another word for probability.For the 95% confident interval of population mean , the margin of error (ME)
ME = Z 1 - 0.05/2 5/√n
2 = 1.96 * 6.24/√n
n = ( 1.94 * 6.24/2)²
n = 37.40
the required sample size (n) is 38 .
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A speed camera takes 2 photos of a car photo 2 was taken 0. 5 seconds after photo 1 marks on the road are 0. 8 metres apart calculate the average speed of the car in m/s
The average speed of the car while taking photos in m/s is 1.6 m/s
Total photos taken = 2
Time taken = 0.5 seconds
Distance = 0.8m
Thus, this can be noted as -
Distance = Marks on the road between the two photos = 0.8 meters
Time = Time between the two photos = 0.5 seconds
Speed is defined as the rate at which a distance travelled or a height reached changes. It has a time component. In the given case, the speed camera is taking photos and we are required to calculate the average speed of the car
Calculating the speed -
Average Speed = Distance ÷ Time
Substituting the values -
= 0.8 /0.5
= 1.6
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n C (x) = 0.6x² − 168x+17,507. What is the minimum unit cost?
-
Step-by-step explanation:
Answer:
Minimum Unit Cost = $14,362
Step-by-step explanation:
The standard form of a quadratic is given by:
ax^2 + bx + c
So for our function, we can say,
a = 0.6
b = -108
c = 19,222
We can find the vertex (x-coordinate where minimum value occurs) by the formula -b/2a
So,
-(-108)/2(0.6) = 108/1.2 = 90
Plugging this value into original function would give us the minimum (unit cost):