When using the measures of centers what is the first step you do with the data?
Answers
When using the measures of centers, the first step you do with the data is to find the average value of the dataset. This is done by calculating the mean or arithmetic average of the data.
The mean is obtained by adding up all the values in the dataset and then dividing by the total number of values present in the dataset.
The formula for the mean is: Mean = Sum of all values in the dataset / Total number of values in the dataset.
The mean is a good indicator of the central tendency of the data, as it is sensitive to all the values present in the dataset.
However, it can be affected by outliers, which are values that are significantly different from the other values in the dataset.
In such cases, the median, which is the middle value when all the values in the dataset are arranged in ascending or descending order, can be a more appropriate measure of center.
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Related Questions
Instructions: Given the function in standard form, use completing the square to write the function in vertex form and then identify the vertex.
Answers
Given the function in standard form:
\(y=x^2+6x-3\)• First, we need to find the vertex, V = (h, k), as follows:
\(h=\frac{-b}{2a}\)where a = 1, b = 6, and c = -3; then:
\(h=\frac{-6}{2}=-3\)\(\begin{gathered} k=f(-3) \\ k=(-3)^2+6(-3)-3 \\ k=-12 \end{gathered}\)The vertex of the quadratic function is V = (-3, -12).
• Vertex form of the quadratic function:
\(y=a\left(x-h\right)^2+k\)Replacing in the equation:
\(y=(x+3)^2-12\)Which of the points below correctly plots the point (−2,−5π/3)?
Select the correct answer below:
A
B
C
D
E
F
Answers
Answer: F
Step-by-step explanation:
Answer: correct answer is A
Step-by-step explanation:
Remember that the coordinates (−2,−5π3) tell us the radius r=−2 and the angle θ=−5π3. So the point should be on the circle labeled 2 and form an angle of −5π3 with the negative x-axis. Point A is the correct point.
Q1. The daily spending of 5 customers in PKR on Product X and Product Y is as under: Customer X Y 1 20 40 2 80 20 3 90 30 4 10 50 5 85 10 Plot a scatter chart. Take Product X on x-axis and Product Y on y-axis. Develop a distance matrix using Euclidian Distance. Do Hierarchical clustering using single, complete and average linkage method. Make dendrogram and final scatter charts showing clusters for all three methods.
Answers
Answer:
the answer is y=x2
Step-by-step explanation:
because we added the numbers and we put x in another side so we divided all of them we got 2 so then mathematically it is y-x so then we see 120 we cancel with 40 so nine degree is 2 again,
The daily spending of the 5 consumers is PKR on the product X and Y and is under the customer X, and Y. By plotting the chart we can develop distance matrix using the Euclidian distance.
The option y=x2 is correct, we added the numbers and we put x in another side so we divided all of them we got 2 Hence mathematically it is y-x so then we see 120 we cancel with the 40 so 9 degree is 2 again.Learn more about the Product X and Product Y is as under.
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The first five numbers were 7,14,8,32,and 14. What was the average (mean) of these numbers?
Answers
Answer:
15
Step-by-step explanation:
1. add all the numbers:
7+14+8+32 + 14 = 75
2. then divide 75 by the amount of numbers you have. (in this case you have 5 numbers)
75/5 = 15
so your final answer is 15
hope this helped ^^
What can you say about the y-values of the two functions f(x)=-5^x+2 and g(x) =-5x^2+2
Answers
g(X) has the larger possible y value and the maximum y value of f(X) approaches at 2
The complete question includes Options
Check all that apply.
A. g(X) has the larger possible y value
B. The maximum y value of f(X) approaches at 2
C. f(X) and g(X) have equivalent maximum values.
D. f(X) has the largest possible value
What is a Function ?A function is a mathematical statement which relates a dependent variable to an independent variable.
It is given in the question to compare the values of y
\(\rm f(x) = -5^x +2\\\\g(x) = -5x^2 +2\)
f(x) is exponential function and g(x) is a quadratic function
Now, if we evaluate g(x) in x = 0,
the maximum value of y is
y = 2
For the exponential function, the first term becomes zero at the limit of x--> -∞ hence the maximum tends to be 2.
Therefore both Option A and B is correct.
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4) Amy traveled to the recycling plan
back. It took one hour less time to get
there than it did to get back. The average
speed on the trip there was 50 km/h. The
average speed on the way back was 40
km/h. How many hours did the trip there
take?
Answers
The time taken by Amy to travel to the place was t = 4 hours.
What is average speed?A measure of average speed is the amount of distance travelled in a given amount of time. It is determined by dividing the overall mileage by the overall time required to cover that mileage.
In physics and other sciences, average speed is frequently employed to describe how objects move. For instance, it is possible to estimate how long it will take to go a certain distance or assess a car's fuel economy by looking at its average speed over a given distance. By dividing the whole distance travelled by the total time required, average speed may also be used to characterise the speed of an object that is moving at various speeds at different points along its path.
Let the time taken to get back = t + 1.
Now, it took one hour less time to get there thus time = t.
Now, average speed is given as:
average speed = total distance / total time
Substituting the values:
50 km/h = d / t
d = 50t .........(1)
40 km/h = d / (t + 1)
d = 40(t + 1)......(2)
Setting the value of d as equal we have:
50t = 40(t + 1)
50t = 40t + 40
10t = 40
t = 4
Hence, the time taken by Amy to travel to the place was t = 4 hours.
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Which is an x-intercept of the graphed function? (0,4) (-1,0) (4,0) (0,-1)
Answers
The x-intercept of the graphed function is (-1,0)
How to determine the x-intercept of the graphed function?The x-intercept of the graphed function is the point where the function has a value of 0
i.e. the x value when y = 0
From the complete question, we have:
x = -1 when y = 0
Hence, the x-intercept of the graphed function is (-1,0)
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help with this please :D
Answers
Answer:
120 degrees
Step-by-step explanation:
beacuse this is
a) The perimeter is ____. Include units.b) The area is ___. include units.Another question is: Fully Simplify the following equation: (3x + 7) (5x^2 + 4x +9)
Answers
The perimeter is 54 inches
The area is 108 square inches
Explanation:The perimeter of the triangle is:
15 in + 15 in + 24 in
= 54 in
The area is:
(1/2)(24)(9)
= 108 sq. in
It’s takes an aero plane 3.2 hours to fly from Mumbai to Seoul. It takes the same aero plane 1 1/3 hours to fly from Seoul to Tokyo. How many hours does it take the aero plane to travel from Mumbai to Tokyo if it flies through Seoul?
Answers
To find the total time it takes for the airplane to travel from Mumbai to Tokyo via Seoul, we need to add the time taken for the Mumbai-Seoul leg and the Seoul-Tokyo leg.
The airplane takes 3.2 hours to fly from Mumbai to Seoul.
The airplane takes 1 1/3 hours to fly from Seoul to Tokyo, which is equivalent to 1.33 hours.
To find the total time, we add the two durations:
3.2 hours + 1.33 hours = 4.53 hours
Therefore, it takes approximately 4.53 hours for the airplane to travel from Mumbai to Tokyo if it flies through Seoul.
A broker bought stock at $21.45 per share and sold it the following month for $26.40 per share. what was his gross profit before commissions and taxes on 120 share sold
Answers
We need to find the profit made per share first.
Then multiply profit per shares to total shares sold
Profit = Selling price - Cost price
Where:
Selling price = $26.40 per dollar
Cost price = $21.45 per dollar
Profit = $26.40 per dollar - $21.45 per dollar = $4.95 per share.
Gross profit = Profit per share x No of shares.
Gross profit = 4.95 x 120 = $594
Please PLEASE please!!! Any math experts can solve these I will give thanks and mark thank you!!!!
Answers
Answer:
8.
numerator: 3
denominator: 2
9.
numerator: 2
denominator: 2
10.
numerator: 2
denominator: 4
Question 11
Hannah, Kyler, Austin, Yeneli, Katie, and Cal all went to Red Robin to eat lunch. The girls ordered a hamburger
platter that cost $11.25 and the boys ordered the large hamburger platter delux for $13.75. The tax in Middle
School Land is 7.93%. They also left a 20% tip on the bill that includes the tax.
1) The total food bill is $_
2) The tax on the bill is _
3) The total bill for food and tax is.
4) The tip on the food and the tax is (use exact figures and DO NOT round) _
5) How much did each student pay for the food and tax? They each paid _ (Round your answer to the nearest
pennny!)
Answers
What is sixty-seven point four three divided by ten
Answers
Answer:
67,43/10 = 6.743
When dividing any number by 10, you just move the decimal to the left. When multiplying, you move it to the right.
Step-by-step explanation:
Hope it helps! =D
Solve, using the substitution method
j+k=3
j-k=7
Answers
Answer:
k = -2
j = 5
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Terms/CoefficientsSolving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define Systems
j + k = 3
j - k = 7
Step 2: Rewrite Systems
j - k = 7
[Addition Property of Equality] Add k on both sides: j = 7 + kStep 3: Redefine Systems
j + k = 3
j = 7 + k
Step 4: Solve for k
Substitution
Substitute in j [1st Equation]: 7 + k + k = 3[Addition] Combine like terms: 7 + 2k = 3[Subtraction Property of Equality] Subtract 7 on both sides: 2k = -4[Division Property of Equality] Divide 2 on both sides: k = -2Step 5: Solve for k
Substitute in k [1st Equation]: j - 2 = 3[Addition Property of Equality] Add 2 on both sides: j = 5Which expression has a value of −24?
(−24)+48
24+(−24)
(−48)+24
(−24)+(−24)
Answers
-48
+ 24
____
-24
2. The million-dollar question! Suppose you
want to have $1,500,000 for retirement in
30 years. If you deposit the same amount
each month into an annuity that earns 6%
interest annually (and compounded
monthly), what is the amount you need to
deposit each month? Show your work
using the formula.
Answers
Assuming a 6% annual interest rate compounded monthly, you would need to put aside $8,991.84 per month to have $1,500,000 for retirement in 30 years.
To solve this problemUsing the calculation for the future value of an annuity, we can get the monthly deposit amount as follows:
FV = PMT × [((1 + r/n)(nt) - 1) / (r/n)].
Where
FV is the annuity's future valuePayment amount (PMT) is what we're attempting to determine.6 percent yearly interest rate is rn = number of compounding periods per year (12 since it's compounded monthly)t = time (30) in yearsThe formula can be changed to: PMT = FV / [((1 + r/n)(nt) - 1) / (r/n)] if we want to solve for PMT.
We obtain the following formula by substituting the supplied values: PMT = 1,500,000 / [((1 + 0.06/12)(12*30) - 1) / (0.06/12)]
PMT = 1,500,000 / [((1.005)^360 - 1) / 0.005]
PMT = 1,500,000 / 166.791
PMT = $8,991.84
Therefore, assuming a 6% annual interest rate compounded monthly, you would need to put aside $8,991.84 per month to have $1,500,000 for retirement in 30 years.
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1. Tim wants air conditioning in his room. The air conditioner costs $40. Each day the
electricity costs $1. Write an expression that can be used to find the cost to run the air
conditioner for d days.
Answers
Answer:
the answer/expression you require is 40 - 1 = 1 day x - 1 = day 2 (repeat day 2 forever
Step-by-step explanation:
i say this because - 40 for the air conditioner and if it’s - 1 for electricity a day then unless your buying an air conditioner every day i don’t think you,l be repeating day 1 every day
:D
for any given flight, an airline tries to sell as many tickets as possible. suppose that on average, 10% of ticket holders fail to show up, all independent of one another. knowing this, an airline will sell more tickets than there are seats available, and hope that there is a sufficient number of ticket holders who do not show up to compensate for its overbooking. using the central limit theorem, determine n, the maximum number of tickets an airline should sell on a flight with 300 seats so that it can be approximately 99% confident that all ticket holders who do show up will be able to board the plane. use the 1/2-value-correction (called de moivre-laplace approximation) in your calculation.
Answers
The maximum number of tickets an airline should sell on a flight with 300 seats so that it can be approximately 99% confident that all ticket holders who do show up will be able to board the plane is 324.
The maximum number of tickets an airline should sell on a flight with 300 seats so that it can be approximately 99% confident that all ticket holders who do show up will be able to board the plane is 326. This is calculated using the 1/2-value correction (de Moivre-Laplace Approximation). The 1/2-value correction assumes the normal distribution is symmetric, with the mean in the middle of the distribution. This means that the probability of being above the mean is equal to the probability of being below the mean. Since the airline wants to be 99% confident that all ticket holders who do show up will be able to board the plane, this means that the airline needs to sell enough tickets such that the probability of being above the mean (300 tickets sold) is 99%. Using the 1/2-value correction, the airline needs to sell 326 tickets to achieve this confidence level.
This is calculated as follows: P(x > 300) = 0.99 P(x < 300) = 0.01 Using the 1/2-value-correction:
P(x = 300 + 0.5) = 0.99
Therefore, x = 300 + 0.5=> x = 300.5 => x = 326
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an airplane takes 3 hours to travel a distance of 1440 miles with the wind. The return trip takes 4 hours against the wind. Find the speed of the plane in the still air and the speed of the wind.
Answers
Answer:
The speed of the plane in the still air is 420 miles/hour
The speed of the wind 60 miles/hour
Step-by-step explanation:
Let the speed of the plane with the wind be v
Let the speed of the plane against the wind be u
Now, speed = distance/time
With the wind,
v = (1440 miles)/(3 hours) = 480 miles/hour
v = 480 miles/hour
Against the wind,
u = (1440 miles)/(4 hours) = 360 miles/hour
u = 360 miles/hour
Now, let the speed of plane be p, and speed of wind be w,
Now, with the wind, the speed is 480 mph,
so,
speed of plane + speed of wind = 480 mph
p + w = 480 (i)
and against the wind, the speed is 360 mph,
so,
speed of plane - speed of wind = 360mph
p-w = 360 (ii)
adding equations (i) and (ii), we get,
p+w + p-w = 480 + 360
2p = 840
p = 840/2
p = 420 miles/hour
Then, the speed of the wind will be,
p + w = 480,
420 + w = 480
w = 480 - 420
w = 60 miles/hour
The speed of the plane in still air is calculated to be 420 mph, and the speed of the wind is calculated to be 60 mph by solving the two simultaneous equations obtained from the time, rate, and distance relationship.
Explanation:This problem is about the rate, time, and distance relationships. The rate at which the airplane travels in still air is r (unaffected by wind), and the speed of the wind is w. When the plane flies with the wind, it is 'assisted' and therefore travels faster - at a speed of (r + w); against the wind, it travels slower - at a speed of (r - w).
From the problem, we know that:
The trip with the wind covers 1440 miles in 3 hours, so (r + w) * 3 = 1440The return trip against the wind covers the same 1440 miles in 4 hours, so (r - w) * 4 = 1440By solving these two equations, we get the following:
r + w = 480r - w = 360Adding these two gives 2r = 840 => r = 420 mph (the speed of the plane in still air), and subtracting gives 2w = 120 => w = 60 mph (the speed of the wind).
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A certain type of kickboard scooter comes in silver, red, 2
or purple with wheel sizes of 125 millimeters or 180
millimeters. Determine the total number of color-wheel size combinations.
(This is probability and I’m having such a hell of a time figuring it out pls help)
Answers
There are a total of 8 color-wheel size combinations for the kickboard scooter. This means that customers have 8 different options to choose from when selecting the color and wheel size for their scooter.
To determine the total number of color-wheel size combinations for the kickboard scooter, we need to multiply the number of color options by the number of wheel size options.
Given that there are 4 color options (silver, red, blue, and purple) and 2 wheel size options (125mm and 180mm), we can use the multiplication principle to find the total number of combinations:
Total combinations = Number of color options × Number of wheel size options
Total combinations = 4 colors × 2 wheel sizes
Total combinations = 8
There are a total of 8 color-wheel size combinations for the kickboard scooter. This means that customers have 8 different options to choose from when selecting the color and wheel size for their scooter.
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What does point A represent on the graph? Jordan needs 3 cups of diced chicken for 2 salads. Jordan needs 2 cups of diced chicken for 3 salads. Jordan needs 3 cups of diced chicken for 1 and one-half salads. Jordan needs 1 and one-half cups of diced chicken for 3 salads.
Answers
Answer:
The answer is 3
Step-by-step explanation:
Yavonne has $15.90 in her checking account. She needs to buy items that cost $3.18 each. How many of these items can she buy?
a
4
b
5
c
6
d
7
Answers
Answer:
5.
Step-by-step explanation:
15.90 / 3.18 =
each marble bag sold by susan marble company contains 6 blue marbles for every green marbles . if a bag has 25 green marbles , how many blue marbles does it contains?
Answers
Answer:
150 blue marbles
Step-by-step explanation:
1 green = 6 blue
25 green = x blue
- 6 x 25 = 150
The product of a number and -7/10 is 1/2
What is the number?
-7/20
7/20
-5/7
5/7
Answers
Answer:
-7/10 x -5/7 = 1/2
Step-by-step explanation:
what number do you reach when you start at -7 and move 3 units to the right
Answers
Answer: The number you reach would be -4
Step-by-step explanation:
Question 4 of 10
Which choice is equivalent to the expression below?
6 √ 7 - 5x √ 7 - x √ 7
Answers
Answer:
can you put a picture?
Step-by-step explanation:
gotta use 20 characters
(-1, 4) and (0,-1) writing out linear equations giving two points
Answers
Answer:
The equation is y = -5x - 1.
Step-by-step explanation:
1. Find the slope using the formula. Slope = (4 + 1) / (-1 - 0) which is equal to 5 / -1 which is -5.
2. Use the slope-point formula to construct an equation. The equation is y - 4 = -5 * (x + 1)
3. Simplify. We would get y = -5x - 5 + 4, which is y = -5x - 1.
Answer: The equation is y = -5x - 1.
a) Work out the percentage population increase from 2001 to 2011.
Give your answer to 1 decimal place.
Answers
The percentage population increase from 2001 to 2011 is 50%.
To calculate the percentage population increase from 2001 to 2011, you need the population figures for both years. Let's assume the population in 2001 was 100,000 and in 2011 it was 150,000.
The formula to calculate the percentage increase is:
Percentage Increase = ((New Value - Old Value) / Old Value) * 100
Plugging in the values:
Percentage Increase = ((150,000 - 100,000) / 100,000) * 100 = (50,000 / 100,000) * 100 = 0.5 * 100 = 50%
Therefore, the percentage population increase from 2001 to 2011 is 50%.
Please note that the actual population figures for the respective years need to be used in the calculation to obtain an accurate result. The example above is for illustrative purposes.
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Find the slope of the line passing through each of the following pairs of points and draw the graph of the line. (5, 2), (3, 3)
Answers
Answer:
Step-by-step explanation:
(3-2)/(3-5) = 1/-2 = -1/2
y - 3 = -1/2(x - 3)
y - 3 = -1/2x + 3/2
y - 6/2 = -1/2x + 3/2
y = -1/2x + 9/2