mean of 12, 2, 64, 0, 48, 4, 6, 80
Answers
Answer:
Mean 27
Median 9
Mode 12, 2, 64, 0, 48, 4, 6, 80
Step-by-step explanation:
Related Questions
Polygon ABCD with vertices at A(1, −2), B(3, −2), C(3, −4), and D(1, −4) is dilated to create polygon A′B′C′D′ with vertices at A′(4, −8), B′(12, −8), C′(12, −16), and D′(4, −16). Determine the scale factor used to create the image. one fourth one half 2 4
Answers
The Scale factor used to create the image is 4.
The scale factor used to create the image, compare the side lengths of the original polygon ABCD and the image polygon A'B'C'D'. The scale factor is the ratio
Side AB: √((3 - 1)^2 + (-2 - (-2))^2) = √(2^2) = 2
Side BC: √((3 - 3)^2 + (-4 - (-2))^2) = √(0^2 + (-2)^2) = 2
Side CD: √((1 - 3)^2 + (-4 - (-4))^2) = √((-2)^2) = 2
Side DA: √((1 - 1)^2 + (-4 - (-2))^2) = √(0^2 + (-2)^2) = 2
Polygon A'B'C'D':
Side A'B': √((12 - 4)^2 + (-8 - (-8))^2) = √(8^2) = 8
Side B'C': √((12 - 12)^2 + (-16 - (-8))^2) = √(0^2 + (-8)^2) = 8
Side C'D': √((4 - 12)^2 + (-16 - (-16))^2) = √((-8)^2) = 8
Side D'A': √((4 - 4)^2 + (-16 - (-8))^2) = √(0^2 + (-8)^2) = 8
Now, we can calculate the scale factor by comparing the side lengths:
Scale factor = (A'B' / AB) = (8 / 2) = 4
Therefore,To determine the scale factor used to create the image, we need to compare the corresponding side lengths of the original polygon ABCD and the image polygon A'B'C'D'. The scale factor is the ratio of the corresponding side lengths.
the side lengths of both polygons:
Polygon ABCD:
Side AB: √((3 - 1)^2 + (-2 - (-2))^2) = √(2^2) = 2
Side BC: √((3 - 3)^2 + (-4 - (-2))^2) = √(0^2 + (-2)^2) = 2
Side CD: √((1 - 3)^2 + (-4 - (-4))^2) = √((-2)^2) = 2
Side DA: √((1 - 1)^2 + (-4 - (-2))^2) = √(0^2 + (-2)^2) = 2
Polygon A'B'C'D':
Side A'B': √((12 - 4)^2 + (-8 - (-8))^2) = √(8^2) = 8
Side B'C': √((12 - 12)^2 + (-16 - (-8))^2) = √(0^2 + (-8)^2) = 8
Side C'D': √((4 - 12)^2 + (-16 - (-16))^2) = √((-8)^2) = 8
Side D'A': √((4 - 4)^2 + (-16 - (-8))^2) = √(0^2 + (-8)^2) = 8
Now, we can calculate the scale factor by comparing the side lengths:
Scale factor = (A'B' / AB) = (8 / 2) = 4
Therefore, the scale factor used to create the image is 4.
To know more about Scale factor.
https://brainly.com/question/30241613
#SPJ11
WILL MARK BRAINLIEST!!!! BRAINLIEST!
Write 206 in base 7
Answers
Answer:
413
Step-by-step explanation:
when the vat rate is 15% of customer pays Rs1449 to by a watch find the cost of the watch without vat
Answers
Let cost be x
\(\\ \bull\sf\dashrightarrow x+0.15x=1449\)
\(\\ \bull\sf\dashrightarrow 1.15x=1449\)
\(\\ \bull\sf\dashrightarrow x=\dfrac{1449}{1.15}\)
\(\\ \bull\sf\dashrightarrow x=1260\)
Answer:
Solution given:
Vat=15%
Selling price with vat=Rs1449
Selling price with out vat=?
We have
Selling price with vat=Selling price without vat +Vat amount
Rs 1449=selling price without vat +vat % of selling price without vat
Rs1449=Selling price without vat(1+vat/%)
Selling price without vat=\(\bold{\frac{Rs1449} {1+\frac{15}{100}}}\)
Selling price without vat=\(\bold{\frac{Rs1449}{1.15}}\)
Selling price without vat=Rs1260
the cost of the watch without vat=Rs1260the mean wait time for a drive-through chain is 193.2 seconds with a standard deviation of 29.5 seconds. what is the probability that for a random sample of 45 wait times, the mean is between 185.7 and 206.5 seconds? (write answer round to whole number like 91%).
Answers
The probability that for a random sample of 45 wait times, the mean is between 185.7 and 206.5 seconds is 94%.
To solve this problem, we can use the Central Limit Theorem, which states that the distribution of sample means is approximately normal for large sample sizes.
First, we need to calculate the standard error of the mean (SEM) using the formula
SEM = standard deviation / sqrt(sample size)
SEM = 29.5 / sqrt(45) = 4.4
Next, we can standardize the sample mean using the formula
z = (x - μ) / SEM
where x is the sample mean, μ is the population mean, and SEM is the standard error of the mean.
For the lower limit, we have
z = (185.7 - 193.2) / 4.4 = -1.70
For the upper limit, we have
z = (206.5 - 193.2) / 4.4 = 3.02
We can use a standard normal distribution table or calculator to find the probabilities associated with these z-scores.
The probability of z being between -1.70 and 3.02 is approximately 0.9429 or 94%. Therefore, the probability that for a random sample of 45 wait times, the mean is between 185.7 and 206.5 seconds is 94%.
Learn more about probability here
brainly.com/question/29677848
#SPJ4
An economy is described by the following equations:
C = 1,800 + 0.6 (Y – T)
I p = 900
G = 1,500
NX = 100
T = 1,500
Y* = 9,000
a. Complete the table shown below to find short-run equilibrium output. Consider possible values for short-run equilibrium output ranging from 8,000 to 9,000.
Answers
The completed table shown below to find short-run equilibrium Output (Y)C = 1,800 + 0.6(Y – T)IpG = 1,500NX = 100C + I + G + NX8,0003, 5001006,580
Why Consider possible values for short-run equilibrium?To complete the table shown below to find short-run equilibrium output, possible values for short-run equilibrium output ranging from 8,000 to 9,000, let us first calculate the equilibrium output.
Given the following equations:
C = 1,800 + 0.6(Y – T)Ip = 900G = 1,500NX = 100T = 1,500Y* = 9,000
We can calculate the equilibrium output using the following equation:
Y = C + I + G + NXwhere,C = 1,800 + 0.6(Y – T)I = 900G = 1,500NX = 100T = 1,500Substituting the given values in the above equation,
we get;Y = 1800 + 0.6(Y - 1500) + 900 + 1500 + 100Y = 5400 + 0.6Y - 900 + 1500 + 100Y = 7800 + 0.6YSolving the above equation, we get;
Y = 9000This is the equilibrium level of output.
Now, using the possible values for short-run equilibrium output ranging from 8,000 to 9,000, we can complete the table as follows:
Output (Y)C = 1,800 + 0.6(Y – T)I pG = 1,500NX = 100C + I + G + NX8,0003,6009001,5001006,1008,1003,8409001,5001006,3409,0004,0809001,5001006,580
Therefore, the completed table shown below to find short-run equilibrium output is:
Output (Y)C = 1,800 + 0.6(Y – T)IpG = 1,500NX = 100C + I + G + NX8,0003,6009001,5001006,1008,1003,8409001,5001006,3409,0004,0809001,5001006,580
Learn more about equilibrium
brainly.com/question/30807709
#SPJ11
Please help the quarter ends tomorrow and I need a better grade
Answers
Answer: okay i havent done this in like 9 years so im supposing that its 96
Step-by-step explanation:
legit just do 6x8x2 (i think)
Brigid is picking strawberries at the Pick-Your-Own Farm. Her goal is to pick 5 bushels of strawberries. She has already picked 1
1
2
bushels, and she picks at a rate of
5
8
bushel per hour. The scenario is represented as
5
8
h + 1
1
2
= 5, where h is the number of hours she picks. How many more hours will it take Brigid to fill 5 bushels of strawberries?
2 and StartFraction 3 Over 16 EndFraction hours
2 and StartFraction 3 Over 16 EndFraction hours
5 and three-fifths hours
10 and two-fifths hours
Answers
Answer:
We can start by isolating the variable "h".
5 8 h + 1 1 2 = 5
Subtracting 11/2 from both sides:
5 8 h = 5 - 1 1 2
Simplifying:
5 8 h = 8 1 2
Dividing both sides by 5/8:
h = 8 1 2 ÷ 5 8
Converting the mixed number to an improper fraction:
h = (8 x 8 + 1) ÷ 5 8
h = 65/8
Now, we can convert this fraction to a mixed number:
h = 8 1/8
Brigid has already picked for 8 1/8 hours, so the amount of time needed to pick the remaining strawberries is:
5 - (1 1/2 + 5/8 x 8) = 5 - (3 5/8) = 1 3/8
Therefore, Brigid still needs to pick for 1 3/8 hours to fill 5 bushels of strawberries. The answer is 1 and 3/8 hours or 2 and 3/16 hours (if simplified).
Step-by-step explanation:
It's 50¢ wing night at your favorite restaurant! You know you will be ordering a drink and some wings. A drink costs $2 and wings are 50¢ each. If you buy and eat 20 wings, how much will you spend altogether?
Answers
Answer:
12
Step-by-step explanation:
2 for drink and half of 20 is ten
Cara's bi-weekly gross pay is 625.95. she sees that 13.78 was deducted for medicare tax. what percent of Cara's gross pay has been withheld for Medicare tax? Round to the nearest tenth.
A.0.22%
B.2.2%
C.3.5%
D. 4.6%
Answers
Answer:
b
Step-by-step explanation:
The pressure at sea level is 111 atmosphere and increases at a constant rate as depth increases. when sydney dives to a depth of 232323 meters, the pressure around her is 3.33.33, point, 3 atmospheres. the pressure ppp in atmospheres is a function of xxx, the depth in meters. write the function's formula.
Answers
To the given problem the mathematical function formula determined is f(x) =0.1x+1.
What is a mathematical function?
A mathematical function is a procedure that determines the value of an dependent variable in relation to one or perhaps more independent variables whose values are given. There are several ways to depict a function, including a table, an equation, or a graph.We are informed that the pressure at sea level is 1 atmosphere, and that it rises steadily with depth.Two points are given to us as (0,1) and (23,3.3). We shall identify the line that goes across these places in order to get the function's formula.
First we need to determine the slope represented as “m”:
m= (3.3-1)/(23-0)= 2.3/23
m= 0.1
Converting in slope intercept form:
Y= mX+B
1=0.1(0)+ B
B=1
Equation deduced is : Y=0.1X+1
Writing in as mathematical function :
f(x)= 0.1x+1
Learn more about mathematical function here:
https://brainly.com/question/4025726
#SPJ4
4ny = b
make y subject
Answers
y = b/4n
\(\\\\\)
Step-by-step explanation:
Given Equation : : 4ny = b for making 'y' subject→ y = b/4nQuestion 18 of 25
Line s is the perpendicular bisector of JK. If line s intersects JK at point L.
which of the following statements must be true?
Check all that apply.
O A. JL = KL
B. Line sis perpendicular to JK
C. Point L is the midpoint of JK
OD. Line s intersects JK at a 180° angle
O E. Line sis parallel to JK
SUBMIT
Answers
Answer:
See below.
Step-by-step explanation:
A perpendicular bisector of a segment is perpendicular to the segment and intersects the segment at its midpoint.
A. JL = KL True
B. Line s is perpendicular to JK True
C. Point L is the midpoint of JK True
D. Line s intersects JK at a 180° angle False
E. Line s is parallel to JK False
Help me please i am marking brainiest, no one ever helps me with anything i am really struggling as a kid to move on to the next grade so please me me out with this problem please for i can force myself to keep going:
A student is doing a reading assignment. After 37 minutes of reading, she skims the pages ahead and estimates that she still has 55% of the reading to do. According to the girl's estimate, how long is the total reading assignment? Round to the nearest minute.
Answers
If you multiply this by 100% you get 122 minutes for the total assignment
Define a variable , write an inequality , and solve the problem:
The difference of a number and 4 is no more than 8
Please help!
Answers
Answer:
Step-by-step explanation:
\(n-4\le 8\\ \\ n\le 12\)
Sebastian solved the radical equation y + 1 = but did not check his solution. (y + 1)2 = y2 + 2y + 1 = –2y – 3 y2 + 4y + 4 = 0 (y + 2)(y + 2) = 0 y = –2
Answers
Answer:
There are no true solutions to the equation
Step-by-step explanation:
The equation is
y+1=√-2y-3
Find y
Square both sides
(y+1)^2=(√-2y-3)^2
y^2+2y+1= -2y-3
y^2+2y+1+2y+3=0
y^2+4y+4=0
Solve quadratic equation by factorisation
we have
(y+2)(y+2)=0
y=-2
Check
y+1=√-2y-3
-2+1=√-2(-2)-3
-1=√4-3
-1=√1
-1=1
This is not true
PLEASE HELP!!!!!!! Line M is represented by the following equation: x + y = −1 What is most likely the equation for line P so the set of equations has infinitely many solutions? (4 points) Question 5 options: 1) 2x + 2y = 2 2) 2x + 2y = 4 3) 2x + 2y = −2 4) x − y = 1
Answers
The equation for line P such that the system has an infinite number of solutions is given as follows:
3) 2x + 2y = -2.
How to obtain the equation?The first equation for the system of equations is given as follows:
x + y = -1.
A system of equations has an infinite number of solutions when the two equations are multiples.
Multiplying the equation by 2, we have that:
2x + 2y = -2.
Meaning that equation 3 is correct.
More can be learned about a system of equations at https://brainly.com/question/13729904
#SPJ1
Peter can run 10 kilometers in 2 hours at a steady rate how long will it take him to run 30 kilometers
Answers
Answer:
6 hours
Step-by-step explanation:
10/2=5
5 * 6 =30
Answer:
It will take him 6 Hours
Step-by-step explanation:
10Kilometers=2Hrs
10K*3=2Hrs*6
That's why it's 6 Hrs
want to know what 6*500 is
Answers
Answer:3000
Step-by-step explanation:
the polynomial (x-2) is a factor of the polynomial 3x^2-8x 2
Answers
The polynomial (x-2) is not a factor of the polynomial \(3x^2\) - 8x + 2. Therefore, the given statement is false.
To determine if the polynomial (x-2) is a factor of the polynomial 3x^2 - 8x + 2, we can check if substituting x = 2 into the polynomial yields a value of zero. If the result is zero, then (x-2) is a factor.
Substituting x = 2 into \(3x^2\) - 8x + 2, we get:
3(2)^2 - 8(2) + 2 = 12 - 16 + 2 = -2
Since the result is not zero, we can conclude that (x-2) is not a factor of the polynomial \(3x^2\) - 8x + 2.
In general, for a polynomial (x-a) to be a factor of a polynomial f(x), substituting x = a into f(x) should result in zero. If the result is not zero, then (x-a) is not a factor of f(x).
Learn more about factor here:
https://brainly.com/question/14549998
#SPJ11
What is the slope of the line that passes through the points (8, 7) and (4, 5)
Answers
Answer:
The slope is 1/2
Step-by-step explanation:
x-x/y-y
(7-5)/(8-4)=2/4=1/2
explanation:
y2-y1/x2-x1
5-7/4-8
-2/-4
1/2
Find the area of a regular decagon with an apothem of 5 meters and a side length of 3.25 meters. Round to the nearest tenth.
Answers
The area of the regular decagon is approximately 98.7 square meters when rounded to the nearest tenth.
To find the area of a regular decagon, we can use the formula:
Area = (1/2) * apothem * perimeter
Given that the apothem is 5 meters and the side length is 3.25 meters, we can calculate the perimeter using the formula for a regular decagon:
Perimeter = 10 * side length
Perimeter = 10 * 3.25 = 32.5 meters
Substituting the values into the area formula, we get:
Area = (1/2) * 5 * 32.5
Area = 2.5 * 32.5 = 81.25 square meters
Rounding to the nearest tenth, the area of the regular decagon is approximately 98.7 square meters.
Therefore, the area of the regular decagon with an apothem of 5 meters and a side length of 3.25 meters is approximately 98.7 square meters when rounded to the nearest tenth.
Learn more about a Decagon here: brainly.com/question/27314678
#SPJ11
what is the rate of change for this imagine
Answers
3, -1
Step-by-step explanation:
It goes 3 to the positive side
and one down side
how to solve step by step 4(x-7)=-6x+12
Answers
Answer:
x = 3
Step-by-step explanation:
4 ( x - 7 ) = -6x + 12
→ Expand brackets
4x - 28 = -6x + 12
→ Add 6x to both sides
10x - 28 = 12
→ Add 28 to both sides
10x = 30
→ Divide both sides by 10
x = 3
What is the value of SS for the following set of scores?
Scores: 0, 1,4,5]
a. 18
b.42
c. Cannot answer without knowing whether it is a sample or a population
d. 7
Answers
The value of SS for the following set of scores [ 0, 1,4,5] is 42.
So, option b is correct
What is meant by sum of squares?The formula for measuring the deviation from the measured values is the Sum of Squares. The mean value of the complete collection of observed values is used to measure this distance.
When referring to a statistical method for calculating the dispersion of data points in regression analysis, the term "sum of squares" is employed. When determining which function best matches the data by deviating the least from it, the sum of squares can be utilized. Determine how well a data series can be fitted to a function that could aid in explaining how the data series was formed.
Given,
The dats is 0, 1, 4, 5
S0, the value of n is 4
SS=Sum of squares
SS=0²+1²+4²+5²
SS=0+1+16+25
SS=42
Therefore, the value of SS for the following set of scores [ 0, 1,4,5] is 42.
So, option b is correct.
To know more about sum of squares, visit:
https://brainly.com/question/29581249
#SPJ1
Consider the LP below. The BFS ("corners") are (0,0) (0,4) (1,4) (3,2) (3,0). The optimal solution is at x_{1} = 3 and x_{2} = 2
max z = 2x_{1} + x_{2}
s.t.
matrix x 1 +x 2 &<= 0 \\ x 1 &<=3\\ x 2 &<4 matrix
x_{1}, x_{2} >= 0
(a). What is the range of c_{1} the objective coefficient of x_{1} (currently 2) for which this BFS remains optimal:
(b). What is the range of b_{2} the right hand side of the second constraint (currently 3) for which this BFS remains optimal:
(c). What is the dual price of the second constraint?
Answers
(a) The range of c₁ (the objective coefficient of x₁) for which this BFS remains optimal is c₁ ≤ 2.
(b) The range of b₂ (the right-hand side of the second constraint) for which this BFS remains optimal is 3 ≤ b₂ < 4.
(c) The dual price of the second constraint is 0.
(a) The optimality condition for a linear programming problem requires that the objective coefficient of a non-basic variable (here, x₁) should not increase beyond the dual price of the corresponding constraint. In this case, the dual price of the second constraint is 0, indicating that increasing the coefficient of x₁ will not affect the optimality of the basic feasible solution. Therefore, the range of c₁ for which the BFS remains optimal is c₁ ≤ 2.
(b) The range of b₂ for which the BFS remains optimal is determined by the allowable range of the corresponding dual variable. In this case, the dual price of the second constraint is 0, implying that the dual variable associated with that constraint can vary within any range. As long as 3 ≤ b₂ < 4, the dual variable remains within its allowable range, and thus, the BFS remains optimal.
(c) The dual price of a constraint represents the rate of change in the objective function value per unit change in the right-hand side of the constraint, while keeping all other variables fixed. In this case, the dual price of the second constraint is 0, indicating that the objective function value does not change with variations in the right-hand side of that constraint.
Learn more about coefficient
brainly.com/question/1594145
#SPJ11
What is the slope of a line perpendicular to the line whose equation is
12x – 3y = 81. Fully reduce your answer.
Answers
Answer:
slope of perpendicular line is -1/4
Step-by-step explanation:
slope of standard equation of line that is ax+ by = c is
slope m = -a/b
given equation is
12x – 3y = 81
comparing it with ax+ by = c
a = 12
b = -3
thus
slope of given line = -12/-3 = 4
we also know product of slope of two perpendicular line is -1
let the slope of other line be m
thus,
product of given line line and perpendicular line is -1
4*m = -1
m = -1/4
Thus,
slope of perpendicular line is -1/4
Is it right, if it isn't please correct me and explain
Answers
Answer:
Your right!! Good Job!!
Step-by-step explanation:
Could you give me brainliest please? I only need one more :)
Suppose a normal distribution has a mean of 98 and a standard deviation of 6. What is P(x≥92)?
A. 0.16
B. 0.475
C. 0.84
D. 0.975
Answers
We can solve this problem by standardizing the variable x using the formula:
z = (x - μ) / σ
where μ is the mean and σ is the standard deviation. This formula gives us the number of standard deviations x is from the mean.
Substituting the values given in the problem, we get:
z = (92 - 98) / 6 = -1
This means that 92 is one standard deviation below the mean.
To find P(x ≥ 92), we need to find the area under the normal curve to the right of 92. Since we have standardized the variable, we can use a standard normal distribution table or a calculator to find this area.
Using a standard normal distribution table, we look up the area to the right of -1, which is 0.1587. This means that the area to the left of -1 (which corresponds to x < 92) is 1 - 0.1587 = 0.8413.
Therefore, P(x ≥ 92) = 0.8413, which is closest to option C, 0.84.
Answer:
Step-by-step explanation:
write an equation that represents the relationship between x and y shown in the table
Answers
An equation that represents the relationship between x and y shown in the table is y = 1.5x.
How to write an equation?In order to write an equation that represents the relationship between x and y shown in the table, we would have to find the slope from the table and then write the required equation based on the data points by using the point-slope form.
Mathematically, the point-slope form of a line is given by this mathematical equation:
y - y₁ = m(x - x₁)
Where:
m represents the slope.x and y are the points.By substituting the given parameters into the point-slope formula, an equation for the data points contained in this table is given by;
y - y₁ = m(x - x₁)
y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)
y - 21 = (96 - 21)/(64 - 14)(x - 14)
y - 21 = 75/50(x - 14)
y - 21 = 1.5(x - 14)
y = 1.5x - 21 + 21
y = 1.5x
Read more on slope here: brainly.com/question/23086745
#SPJ1
FIRST TO GET RIGHT GETS BRAINLIEST.
Answers
Answer:
770
Step-by-step explanation:
So start by adding 140 + 70 and then you get 210 and then so you muliply 70*11 and you get 770. :D