What is the variance (s2) of the following set of scores?
12
25
6
9
16
13
11
10
8
7
6
14
16
12
11
23
A) 11.29
B) 28.30
C) 15.31
D) 30.13
Answers
Using the mean, the variance from the data set is 28.30 which is option B
What is the variance of the data set?To find the variance of the data set, we need to find the mean of the data set
x = 12 + 25 + 6 + 9 + 16 + 13 + 11 + 10 + 8 + 7 + 6 + 14 + 16 + 12 + 11 + 23
Subtracting the mean from each data point;
(12 - 12)² = 0
(25 - 12)² = 169
(6 - 12)² = 36
(9 - 12)² = 9
(16 - 12)² = 16
(13 - 12)² = 1
(11 - 12)² = 1
(10 - 12)² = 4
(8 - 12)² = 16
(7 - 12)² = 25
(6 - 12)² = 36
(14 - 12)² = 4
(16 - 12)² = 16
(12 - 12)² = 0
(11 - 12)² = 1
(23 - 12)² = 121
We can calculate the mean of the squared differences
Variance = (0 + 169 + 36 + 9 + 16 + 1 + 1 + 4 + 16 + 25 + 36 + 4 + 16 + 0 + 1 + 121) / 16 = 465 / 16 = 28.30
learn more on variance here;
https://brainly.com/question/25639778
#SPJ4
Related Questions
Henry has a box in the shape of a
square pyramid. He wants to wrap
the box with paper. If the base has
side lengths of 5 in. and the lateral
height is 8 in., about how much
wrapping paper will he need?
Answers
The amount of wrapping paper that he needs to cover the pyramid will be 105 square inches.
What is Geometry?It deals with the size of geometry, region, and density of the different forms both 2D and 3D.
Henry has a box in the shape of a square pyramid.
He wants to wrap the box with paper.
If the base has side lengths of 5 in. and the lateral height is 8 in.
Then the amount of the wrapping paper that he needs to cover the pyramid will be
\(\rm Area = 4 \times \dfrac{1}{2} \times 5 \times 8 + 5 \times 5\\\\\\Area = 80 + 25\\\\\\Area = 105 \ in^2\)
Thus, the amount of wrapping paper that he needs to cover the pyramid will be 105 square inches.
More about the geometry link is given below.
https://brainly.com/question/7558603
#SPJ1
Brandy's candies paid $23 million in dividends during 1998, while also making net common stock repurchases of $27 million. what was the cash flow to stockholders for 1998?
Answers
The cash flow to stockholders for 1998 is -$4 million.
To calculate the cash flow to stockholders for 1998, follow these steps:
Identify the dividends paid: Brandy's Candies paid $23 million in dividends during 1998.
Determine the net common stock repurchases: Brandy's Candies made net common stock repurchases of $27 million during 1998.
Subtract the net common stock repurchases from the dividends paid: $23 million - $27 million = -$4 million.
The resulting cash flow to stockholders for 1998 is -$4 million, indicating a net outflow of cash from stockholders.
You can learn more about cash flow at
https://brainly.com/question/10922478
#SPJ11
Suppose that in 1828, a man bought a diamond for $26. Suppose that the man had instead put the $26 in the bank at 3% interest compounded continuously. What would that $26 have been worth in 2000? In 2003, the $26 would have been worth $ (Do not round until the final answer. Then round to the nearest dollar as needed.) Suppose that a company introduces a new computer game in a city using television advertisements Surveys show that P% of the target audience buy the game after s ads are broadcast satisfying the equation belos Complete part through (8) POG 100 1.86 a) What percentage buy the game without seeing a TV adx=0? (Type an integer or a decimal rounded to the nearest tenth as needed.) Between 2006 and 2016, the number of applications for patents, N, grew by about 3.9% per year. That is, N'(t) = 0.039N() a) Find the function that satisfies this equation. Assume that t=0 corresponds to 2006, when approximately 444,000 patent applications were received b) Estimate the number of patent applications in 2020, c) Estimate the rate of change in the number of patent applications in 2020. a) N(t)- CITES In 2004, an art collector paid $91,755.000 for a particular painting. The same painting sold for $25,000 in 1950. Complete parts (a) through (d). a) Find the exponential growth rate k, to three decimal places, and determine the exponential growth function V, for which V() is the painting's value, in dollars, t years after 1950. V(t)= 250000.1521 (Type an expression. Type integers or decimals for any numbers in the expression. Round to three decimal places as needed.) b) Predict the value of the painting in 2023. (Round to the nearest million as needed.) Suppose that in 1626, a man bought a diamond for $26. Suppose that the man had instead put the $26 in the bank at 3% interest compounded continuously. What would that $20 have been worth in 20007 in 2003, the $26 would have been worth $ (Do not round until the final answer. Then round to the nearest dollar as needed.)
Answers
If a man had put $26 in the bank in 1828 at a 3% interest rate compounded continuously, it would have been worth $ in 2000.
To determine the future value of $26 deposited in the bank in 1828 at a 3% interest rate compounded continuously, we can use the formula for continuous compound interest: A = P * e^(rt), where A is the future amount, P is the principal, r is the interest rate, t is the time in years, and e is Euler's number, approximately 2.71828.
In this case, the principal (P) is $26 and the interest rate (r) is 3% or 0.03. We want to find the future amount (A) in the year 2000, which is 2000 - 1828 = 172 years later.
Substituting the given values into the formula, we have A = 26 * e^(0.03 * 172).
To calculate this value, we can use the natural logarithm (ln) function, which is the inverse of the exponential function. The formula ln(A/P) = rt can be rearranged to t = ln(A/P) / r.
In this case, we want to find t, so t = ln(A/26) / 0.03.
Using a calculator or a mathematical software, we can determine the value of A/26 by evaluating e^(0.03 * 172). Then, we can take the natural logarithm of that value and divide it by 0.03 to find t.
The result is the exact length of time in years, which can be rounded to the nearest dollar.
Learn more about calculator here:
https://brainly.com/question/30151794
#SPJ11
2. The hundredths model is shaded to represent a division
problem
Which equation is represented by the model?
In order to receive full credit on this question label the model showing
what the parts represent
A 0.72 99
B 0.72 90.09
C 0.72.98
D. 0.72.9 0.08
Answers
Answer:
Option D
Step-by-step explanation:
If the whole grid is considered to be 1,
Each small grid will value = \(\frac{1}{100}=0.01\)
There are 72 shaded grids which represent the hundreds = 0.72
When these grids have been divided into 9 equal rows, number of grids in each row = 8
And the value of 8 grids in each row = 0.01 × 8 = 0.08
So the equation is,
0.72 ÷ 9 = 0.08
Therefore, equation represented by the model will be Option (D).
3.(x + 2) + (2x + 3) = 23
Answers
Answer:
x = 6
Step-by-step explanation:
(x + 2) + (2x + 3) = 23
Combine like terms
3x +5 = 23
Subtract 5 from each side
3x+5-5 = 23-5
3x = 18
Divide each side by 3
3x/3 = 18/3
x = 6
Answer:
x = 6
Step-by-step explanation:
1. Remove parentheses where unneeded. x + 2 + 2x + 3 = 23
2. Add constants. x + 5 + 2x = 23
3. Combine like terms. 3x + 5 = 23
4. Subtract "5" from the constants on both sides of the equation. 3x = 18
5. Divide both sides by 3. 3x/3 = 18/3
6. Simplify. x = 6
DARIO is a regular pentagon, RIP is an equilateral triangle, and EIOU is a square.
Answers
The area of the shaded region will be equal to the (area of the hexagon - area of pentagon) + (area of a square - area of equilateral triangle).
How to explain the shape?From the complete question, the area of the shaded region 1 will be:
= Area of regular hexagon - Area of regular pentagon
The shaded region 2 will be:
= Area of a square - Area of equilateral triangle
Therefore, the area of the shaded region will be equal to the (area of the hexagon - area of pentagon) + (area of a square - area of equilateral triangle).
Learn more about triangles on:
https://brainly.com/question/17335144
On the unit circle, where 0 < theta < or equal to 2pi, when is tan theta undefined?
A. Theta=pi and theta=2pi
B. sin theta = cos theta
C. theta = pi/2 and theta=3pi/2
D. sin theta = 1/cos theta
Answers
Therefore, the answer is option C: theta = pi/2 and theta = 3pi/2.
To determine when tan(theta) is undefined on the unit circle, we need to remember the definition of the tangent function.
Tangent is defined as the ratio of the sine and cosine of an angle. Specifically, tan(theta) = sin(theta)/cos(theta).
Now, we know that cosine can never be equal to zero on the unit circle, since it represents the x-coordinate of a point on the circle and the circle never crosses the x-axis. Therefore, the only way for tan(theta) to be undefined is if the cosine of theta is equal to zero.
There are two values of theta on the unit circle where cosine is equal to zero: pi/2 and 3pi/2.
At theta = pi/2, we have cos(pi/2) = 0, which means that tan(pi/2) = sin(pi/2)/cos(pi/2) is undefined.
Similarly, at theta = 3pi/2, we have cos(3pi/2) = 0, which means that tan(3pi/2) = sin(3pi/2)/cos(3pi/2) is also undefined.
Therefore, the answer is option C: theta = pi/2 and theta = 3pi/2.
To know more about theta visit:-
https://brainly.com/question/21807202
#SPJ11
How many integers between 1000 and 7400 have distinct digits, where each digit must be an odd number? a.72 b. 12 c. 84 d. 120
Answers
There are option (b) 12 integers between 1000 and 1999 that have distinct odd digits.
To find the number of integers between 1000 and 7400 that have distinct odd digits, we can break down the problem into smaller parts. First, we can count the number of integers between 1000 and 1999 that have distinct odd digits. We can then count the number of integers between 2000 and 2999, and so on, until we count the number of integers between 7000 and 7400.
Let's focus on the first part of the problem, which is finding the number of integers between 1000 and 1999 that have distinct odd digits. To do this, we can use the following steps:
Using the multiplication principle, we can multiply the number of choices we have for each digit to find the total number of integers between 1000 and 1999 that have distinct odd digits. This gives us:
4 x 3 x 2 x 1 = 24/2 = 12
Therefore, we find that the answer to the problem is (b) 12 integers.
To know more about integers here
https://brainly.com/question/15276410
#SPJ4
Express the following ratio as a whole number ratios in the simplest form 10cm : 1.5m
Answers
Answer:
1/15
Step-by-step explanation:
1.5 m = 100*1.5 = 150 m
so
10/150 = 1/15
Complete the factorization of 3x2 – 5x + 2. Which two factors can be multiplied together to make this trinomial? (x – 2) (x – 1) (x + 1) (3x – 2) (3x + 2)
Answers
Answer:
Option 2,4
Step-by-step explanation:
edge
Option 2: (x-1)
Option 4: (3x-2)
The expressions when multiplied that give the trinomial are (3x -2) and (x-1)
What are trinomials?Trinomials are expressions that have three terms
The expression is given as:
\(3x^2 - 5x + 2\)
Expand
\(3x^2 -3x - 2x + 2\)
Factorize the expression
\(3x(x -1) + -2(x-1)\)
Factor out x - 1
\((3x -2)(x-1)\)
Hence, the expressions when multiplied that give the trinomial are (3x -2) and (x-1)
Read more about factorization at:
https://brainly.com/question/11579257
classfify each number below as a rational or irrational number
Answers
Answer:
Step-by-step explanation:
-14.76: Rational
-sqrt(64): 64 is a perfect square so it is rational
1.4444444… rational numbers repeat their decimal digits at one point or another, so this is rational
pi is irrational, so 19pi is irrational.
sqrt(2)*sqrt(2) is rational, but not 2sqrt(2). Irrational.
Sue is thinking of buying some 2- liter sodas which are on sale for $1.25 each. The total cost, C, of all the 2 liter sodas will be proportional to the number of 2 liters sodas S, that she buys . Which represents the relationship between C and S
Answers
The equation that represents the relationship between C and S is C = 1.25s
What is an equation?An equation is the statement that illustrates that the variables given. In this case, two or more components are taken into consideration to describe the scenario.
In this caee, Sue is thinking of buying some 2- liter sodas which are on sale for $1.25 each.
Let the cost = c
Let the soda = s
Therefore, the equation to represent the information is:
C = 1.25 × s
C = 1.25s
Learn more about equations on:
brainly.com/question/2972832
#SPJ1
help it is impossible
Answers
Answer:
6,0
Step-by-step explanation:
Isolate x to get x=3/2y+6
6 is the x intercept.
In (x,y) form it is (6,0)
What is the value of x in the equation -2/3x9=-3
Answers
Answer:
your equation is false
for brainly please help
You and your friends decide to play video games online together for 5 hours on Saturday. This particular game charges a one-time $10 fee to download and $2.50 per hour to play.
Write the function that can be modeled by this situation.
Question 3 options:
y = 2.50x
y = 2.50x +10
y = 10x + 2.50
y = 2.50x - 10
Answers
Answer:
y = 2.50x + 10
Step-by-step explanation:
y = the money that you have to pay
x = the number of hours you play
2.50 = the money per hour
10 = the one time fee to play the game
Answer:
y = 2.50x +10
Step-by-step explanation:
$2.50 is for an hour and more, while $10 is a fee to play the game so the cost would be x amount of hours with 2.50, (2.50x) and the $10 fee to play the game. (y = 2.50x +10)
Have a great day! :D
Compare / Contrast Exponential Equations
1.) 2 (1/5)x-5
2.) y=4x
Answers
The functions y = 2 (1/5)^x - 5 and y = 4^x are compared as follows
y = 2 (1/5)^x - 5 y = 4^x
Initial value: 2 1
base function: 1/5 = decay function 4 = growth function
Translation: 5 units down no transformation
What is a decay function?
A decay function is a mathematical function used in various fields such as physics, engineering, economics, and machine learning, to model the reduction or decline of a value over time.
It is a type of function that decreases at a rate proportional to its current value, so that it approaches zero as time progresses.
Decay function are exponential functions with the base function as
0 < k < 1This is the opposite of growth function which has values greater than 1
Learn more about growth functions at:
https://brainly.com/question/27161222
#SPJ1
9.A family has to travel 496 miles to reach their vacation spot. They plan to stop for lunch after
driving of the distance. How far will they have traveled when they stop for lunch?
Answers
The family traveled 186 miles when they stop for lunch.
The total distance is 496 miles, and after traveling for 3/8 of the distance they stopped for a lunch.
Here we have to find the distance traveled before lunch.
So we have
The distance traveled before lunch =496×\(\frac{3}{8}\)
= 62 × 3
= 186miles
Therefore the distance traveled is 186 miles before they stopped for the lunch.
To know more about the speed and distance refer to the link given below:
https://brainly.com/question/26046491
#SPJ9
The complete question is:
A family has to travel 496 miles to reach their vacation spot. They plan to stop for lunch after driving 3/8 of the distance. How far will they have traveled when they stop for lunch?
Spencer wrote that 3.3+4=3.7. Use the drop-down menus to explain why 3.7 is incorrect.
Answers
Answer:
4 is in the ones places, so it should be added to the 3 in the ones place, not the 3 in the tenths place.
Step-by-step explanation:
3.3+4=7.3, not 3.7
1000 cylindrical metal bars of length 120 m and diameter 0.2 m , as shown below, are to be used in constructing a bridge. He bars needs to be painted with a rust proof paint (including the ends). One litre of paint will cover 4m^3. Calculate the number of litres of paint (tothe nearest litre) for 1000 bars.
Answers
Answer:
the number of of litres of paint to the nearest litre for 1000 bars is 1 litre
Step-by-step explanation:
Given that:
1000 cylindrical metal bars have :
a length of 120 m
and a diameter of 0.2 m
The volume of the cylindrical bar can be calculated by the formula:
\(V= \pi r^2 h\)
where ;
radius \(r=\dfrac{d}{2}\)
\(r = \dfrac{0.2}{2}\)
r = 0.1 m
the length of the cylindrical metal bars is equal to the height of the metal bar = 120 m
Thus the volume can now be calculated as follows:
\(V= \pi* 0.1^2*120\)
V = 3.77 m³
So; from the given information.
One litre of paint will cover 4m³
and we want to find how many litres of paint will be used for the 1000 cylindrical bars.
If 1 litre = 4m³
Then x litre = 3.77 m³
4x = 1 × 3.77
\(x = \dfrac{1*3.77 }{4}\)
x = 0.9425 litres
x = 1 litres to the nearest litres.
Thus ; the number of of litres of paint to the nearest litre for 1000 bars is 1 litre
B) work out (3. 6 * 10 ^ - 5) / (1. 8 * 10 ^ 2) give your answer in standard form.
Answers
The expression (3.6 * 10^-5) / (1.8 * 10^2) can be calculated as = 2 * 10^-7
A canonical, normal, or standard form of a mathematical object is a conventional manner of presenting that item as a mathematical expression in mathematics and computer science. It is frequently the one that gives the simplest representation of an item and allows it to be identified in a unique fashion.
A quantity is said to be stated in standard form if it is written as the product of a power of ten and a number higher than or equal to one but less than ten (or scientific notation).
The expression (3.6 * 10^-5) / (1.8 * 10^2) can be calculated as follows:
=3.6 * 10^-5 / (1.8 * 10^2)
= (3.6 / 1.8) * (10^-5 / 10^2)
= 2 * 10^-7
Therefore, the answer in standard form is 2 * 10^-7.
For more questions on Expression in Standard form
https://brainly.com/question/932146
#SPJ4
Given m
|| n, find the value of x and y.
Answers
Answer:
55 degrees
Step-by-step explanation:
well, x is on the same line as 125, and a line is always a straight 180 degrees, so you subtract 180-125=55, and angle x and angle y are corrisponding angles, so y also equals 55 degrees.
hope that helps!
Damon drove 120 miles in 2 hours and Ashley drove 135 miles in 2.3 hours Ashley insists that she was traveling at a faster rate than Damon Is she accurate?
Answers
Ashley is incorrect, they’re traveling at the same rate. hope this helped
identify points of discontinuity and classify the type of each discontinuity
Answers
Infinite discontinuity
Explanations:The given equation is:
\(y\text{ = }\frac{2x}{x+1}\)The function will be undefined at the point x + 1 = 0
x = -1
This means that x = -1 is a point of discontinuity
Substituting x = -1 into the equation:
\(\begin{gathered} y\text{ = }\frac{2(-1)}{-1+1} \\ y\text{ = }\frac{-2}{0} \\ y\text{ = }\infty \end{gathered}\)This is an infinite discontinuity
10 points9) Use the graph below to answer the question. If 45 girls participated inbasketball, then how many students are in the girls athletics program?SPORTSSOCCER15%VOLLEYBALL20%TRACK35%BASKETBALL30%O 150O 175O 2000 225
Answers
There are 150 students in the girls athletics program
PLZ HELP THAI IS DUE IN AN HOUR
Answers
2. -6
3. 6
4. 14
5. -13
hope this helps!!
Write an algebraic expression for 15 increased by three times a number n
Answers
(15+3) x n
Is the correct answer
Answer:
f(n)= 3n+15
Step-by-step explanation:
find the median of the numbers
Answers
Answer:
8
Step-by-step explanation:
There are 3 numbers on each side of 8, which makes 8 the median because it is in the middle.
if there are an even number on each side it leaves the middle number to be the median.
anova df ss ms f regression 1 12,323.60 12,323.60 90.0481 residual 8 1,154.802 136.8550 total 9 13,478.4 what is the correlation coefficient?
Answers
The correlation coefficient is 0.9541. This can be determined from the information provided in the ANOVA table, specifically the regression sum of squares (SSR) and the total sum of squares (SST).
The correlation coefficient, also known as the Pearson correlation coefficient, is a measure of the strength and direction of the linear relationship between two variables. It ranges from -1 to 1, where values closer to -1 or 1 indicate a stronger relationship, and values closer to 0 indicate a weaker relationship.
To calculate the correlation coefficient, we can use the formula:
r = sqrt(SSR/SST)
From the ANOVA table provided, we can see that SSR = 12,323.64 and SST = 13,538.4. Plugging these values into the formula gives:
r = sqrt(12,323.64/13,538.4) = 0.9541
Therefore, the correlation coefficient for this model is 0.9541, indicating a strong positive linear relationship between the independent variable and the dependent variable
Complete Question:
Using the following information. Coefficients -12.8094 Intercept Independent variable 2.1794 ANOVA df SS MS F 1 90.0481 Regression Residual Total 12,323.64 1,214.762 13,538.4 12,323.64 136.8550 8 1° 9 What is the correlation coefficient? Multiple Choice 0.9103 0.9541 -0.9541
Learn more about Correlation:
brainly.com/question/31588111
#SPJ11
The cost of putting on a play is $500 for the theater rental, $500 for the actors, and $750 for set decorations and costumes. If tickets are sold for $25 each, how many tickets need to be sold to reach the break-even point?
Answers
Answer:
The total cost of putting on the play is $500 for theater rental + $500 for actors + $750 for set decorations and costumes = $1750.
To reach the break-even point, the revenue from ticket sales needs to equal the total cost, so $1750 = $25 x (number of tickets sold).
Solving for the number of tickets sold, we can divide both sides by $25: $1750 / $25 = (number of tickets sold).
This gives us: 70 = number of tickets sold.
Therefore, Mr. Curry needs to sell 70 tickets to reach the break-even point.
Step-by-step explanation:
456 milligrams equals how many grams
Answers
Answer:
0.456 :)
Step-by-step explanation: