The following data give the estimated prices of a 6-ounce can or a 7.06-ounce pouch of water-packed tuna for 14 different brands, based on prices paid nationally in supermarkets are reproduced here.
0.99 1.92 1.23 0.85 0.65 0.53 1.41
1.12 0.63 0.67 0.69 0.60 0.60 0.66
a. Find the range.
b. Find the sample variance.
c. Find the sample standard deviation.
Answers
Answer:
a) Range = 1.39
b) the sample variance is 0.1597
c) the sample standard deviation is 0.3996
Step-by-step explanation:
Given the data in the question;
a) Find the range.
To determine the range, we simple subtract the smallest value from the largest value. i.e
Range = largest value - smallest value
from data set; our smallest is 0.53 while our largest value is 1.92
so
Range = 1.92 - 0.53 = 1.39
b) Find the sample variance.
To determine our variance, we use the following formula;
∑(\(X_{i}\) - \(x_{bar}\))² / n - 1 = [ ∑\(X_{i}\)²/n-1 ] - [ \(\frac{n}{n-1}\)(\(x_{bar}\))²]
where \(x_{bar}\) = ∑\(X_{i}\)/n
n is sample size = 14 so lets calculate ∑\(X_{i}\)
∑\(X_{i}\) = 0.99 + 1.92 + 1.23 + 0.85 + 0.65 + 0.53 + 1.41 + 1.12 + 0.63 + 0.67 + 0.69 + 0.60 + 0.60 + 0.66
∑\(X_{i}\) = 12.55
∑\(X_{i}\)² = 0.99² + 1.92² + 1.23² + 0.85² + 0.65² + 0.53² + 1.41² + 1.12² + 0.63² + 0.67² + 0.69² + 0.60² + 0.60² + 0.66²
∑\(X_{i}\)² = 13.3253
so
our \(x_{bar}\) = ∑\(X_{i}\)/n = 12.55 / 14 = 0.8964
so our Variance will be;
= [ ∑\(X_{i}\)²/n-1 ] - [ \(\frac{n}{n-1}\)(\(x_{bar}\))²]
= [ 13.3253 / 14-1 ] - [ \(\frac{14}{14-1}\) (0.8964)²]
= 1.025 - 0.8653
= 0.1597
Therefore, the sample variance is 0.1597
c) Find the sample standard deviation.
we know that standard deviation is the square root of variance;
standard deviation = √Variance
standard deviation = √0.1597
standard deviation = 0.3996
Therefore, the sample standard deviation is 0.3996
Related Questions
Triangle UVW is drawn with vertices at U(−1, 1), V(0, −4), W(−4, −1). Determine the coordinates of the vertices for the image, triangle U′V′W′, if the preimage is rotated 90° clockwise.
U′(1, −1), V′(0, 4), W′(4, 1)
U′(−1, −1), V′(−4, 0), W′(1, 4)
U′(1, 1), V′(−4, 0), W′(−1, 4)
U′(−1, 1), V′(0, −4), W′(−4, −1)
Answers
The coordinates of the vertices for the image of the triangle U′V′W′ is
U′(1, 1), V′(−4, 0), W′(−1, 4)
How to find the coordinates after transformationTo rotate a point 90 ° clockwise about the origin, we can apply the transformation (x, y) → (y, -x)
So applying this transformation to each vertex of triangle UVW we get
U(−1, 1) → U' = (1, 1)
V(0, −4) → V' = ( -4, 0)
W(−4, −1) → W' = (-1, 4)
Therefore the coordinates of the vertices for the image triangle U'V'W' are U′(1, 1), V′(−4, 0), W′(−1, 4)
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100 yojan=how much km?
Answers
Answer:
100 yojan=how much km
1287.48
please brainlist
Which of the following classifications best represents the triangle below
Answers
Answer:
Since this triangle seems to be 180 degree, and one angle is 90 degrees and the other is half thslat value (45), the other value will be 45 degrees. It is an Isosceles triangle
Adriana gather data and different schools winning percentages and the year average year salary of their head coaches is in millions of dollars in the years 2000 to 2011 sheet then created the following scatterplot and regression like the fitted line has a Y intercept of 39
Answers
Answer:
(B) The model indicates that teams with coaches who had a salary of 000 million dollars will average a winning percentage 39%, percent.
Step-by-step explanation:
i just did the question
Answer:
The model indicates that teams with coaches who had a salary of 0 million dollars will average a winning percentage of 39% percent.
Step-by-step explanation:
its correct on khan :)
Students in a class are asked to stand in ascending order according to their heights for the annual class photograph. Determine the number of students not currently standing in their correct positions.Students in a class are asked to stand in ascending order according to their heights for the annual class photograph. Determine the number of students not currently standing in their correct positions.
Answers
Answer:
The function in Python is as follows:
def heightChecker(heights):
expected = []
count = 0
for i in range(len(heights)):
expected.append(heights[i])
expected.sort()
for i in range(len(heights)):
if expected[i] != heights[i]:
count+=1
return count
Step-by-step explanation:
Required
Function to return the number of out of position students
See comment for complete question
This defines the function. It receives the heights as a parameter, from the main
def heightChecker(heights):
This initializes a list, (expected list)
expected = []
This initializes the count of out of position students
count = 0
This iterates through the original list
for i in range(len(heights)):
The list item is then appended to the expected list
expected.append(heights[i])
This sorts the expected list in ascending order
expected.sort()
This iterates through the original and the expected lists
for i in range(len(heights)):
If list elements at the same index are not the same, count is incremented by 1
if expected[i] != heights[i]:
count+=1
This returns count
return count
Elijah wrote two numbers that follow the rules in box below. Both numbers are less than 10. Both numbers are whole numbers. The least common multiple of th numbers is 18. The greatest common factor of the number is 3.
Answers
Answer:
2,3,6 is answer for this question
A certain coin is a circle with diameter 36 mm. What is the exact area of each side of the coin?
The exact area of each side of the coin is
mm?
Answers
Answer:
P=36pi
A=3324pi
Step-by-step explanation:
36 diameter so 18 radius but i dont know about what do you mean by side of the coin is it peremeter?
if it is then it is 36 pi
Area will be 18^2 pi which is 324 pi
B. What is each piece measurement if the angle is cut into 9 equal
lengths? Kerf width is 0.125.
Answers
Each piece Measurement of an angle of 120 degrees cut into nine equal lengths with a kerf width of 0.125 would be 14.4583 degrees.
When a particular angle is cut into nine equal parts, the measure of each piece needs to be calculated.
Therefore, it is essential to first calculate the total angle measure and then divide it by the number of parts into which it is being cut.
What is an Angle?
An angle is a geometrical shape that consists of two rays sharing a common endpoint. The common endpoint is known as the vertex, and the two rays are known as the arms of the angle. An angle can be measured in degrees, radians, or gradians. Degrees are the most commonly used unit of measuring angles.How to Calculate Each Piece Measurement of an Angle if Cut into 9 Equal Lengths
To determine each piece measurement of an angle if cut into nine equal lengths, we will need to carry out the following steps:
Step 1: Calculate the total angle measure Suppose the angle being cut into nine equal lengths is an obtuse angle measuring 120 degrees. In that case, the total angle measure will be 120 degrees.
Step 2: Divide the total angle measure by the number of parts into which it is being cut.120 degrees ÷ 9 = 13.3333 degrees
Step 3: Add the kerf width to the piece measurements.0.125 x 9 = 1.125 degrees13.3333 + 1.125 = 14.4583 degrees
Therefore, each piece measurement of an angle of 120 degrees cut into nine equal lengths with a kerf width of 0.125 would be 14.4583 degrees.
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How many 11-card hands are possible with a 20-card deck?
Answers
There is only 1 possible 11-card hand that can be formed from a 20-card deck.
To determine the number of 11-card hands possible with a 20-card deck, we can use the concept of combinations.
The number of combinations, denoted as "nCk," represents the number of ways to choose k items from a set of n items without regard to the order. In this case, we want to find the number of 11-card hands from a 20-card deck.
The formula for combinations is:
nCk = n! / (k!(n-k)!)
Where "!" denotes the factorial of a number.
Substituting the values into the formula:
20C11 = 20! / (11!(20-11)!)
Simplifying further:
20C11 = 20! / (11! * 9!)
Now, let's calculate the factorial values:
20! = 20 * 19 * 18 * ... * 2 * 1
11! = 11 * 10 * 9 * ... * 2 * 1
9! = 9 * 8 * 7 * ... * 2 * 1
By canceling out common terms in the numerator and denominator, we get:
20C11 = (20 * 19 * 18 * ... * 12) / (11 * 10 * 9 * ... * 2 * 1)
Performing the multiplication:
20C11 = 39,916,800 / 39,916,800
Finally, the result simplifies to:
20C11 = 1
Consequently, with a 20-card deck, there is only one potential 11-card hand.
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Write an iterated triple integral in the order for the volume of the region in the first octant enclosed by the cylinder and the plane .
Answers
Can someone help please?
ASAP
Answers
Answer:
Angle A = tan^-1(11/5)
Angle C = 90 - tan^-1(11/5)
AC = sqrt(146)
Step-by-step explanation:
As this is a right triangle, we can apply the Pythagorean theorem a^2 + b^2 = c^2, where c is the hypotenuse while a and b are the legs, to solve for AC.
11^2 + 5^2 = AC^2
121 + 25 = AC^2
146 = AC^2
sqrt(146) = AC^2
Next, to find angle A, we can use one of the trigonometric functions. Let’s use tangent for simplicity. Tangent of an angle is “opposite divided by adjacent”. If we set the angle to A, opposite is side BC and the adjacent is side AB. Thus, tan(A) = 11/5 and tan^-1(11/5) = A.
Since the sum of angles in a triangle is 180, we can find angle C by setting up this equation: C = 180 - 90 - tan^-1(11/5), which is 90 - tan^-1(11/5)
If using the method of completing the square to solve the quadratic equation
X^2 −5x−27=0, which number would have to be added to "complete the square"?
Answers
Answer:
x²-5x+(-5/2)²=27+(-5/2)²
(x-5/2)²= 133/4
x-5/2= ±√(133/4)
x= (5/2)± √(133/4)
x= ...
Which expression is equivalent to one over fivem − 20?
one over five(m − 4)
one over five(m − 100)
5(m − 4)
5(m − 100)
Answers
Answer:
one over five (m-100)
Step-by-step explanation:
the answer to your question is the 2nd one
Answer:
1 / [ 5(m - 4) ] is equivalent to one over five m -20
Step-by-step explanation:
one over five(m − 4)
5(m − 4)
Factor the denominator:
1 / [ 5m - 20 ] = 1 / [ 5(m - 4) ]
Determine the value of x 4/5(x+9) - 1/5x=3/5(x+12)
Answers
Answer:
infinite number of solutions
Step-by-step explanation:
\(\frac{4}{5}\) (x + 9) - \(\frac{1}{5}\) x = \(\frac{3}{5}\) (x + 12)
multiply through by 5 to clear the fractions
4(x + 9) - x = 3(x + 12) ← distribute parenthesis on both sides
4x + 36 - x = 3x + 36
3x + 36 = 3x + 36
since both sides are the same then any value of x will make the equation true.
Thus there are an infinite number of solutions
The circle graphs shows the percentages of student participation in sports a certain school.
E
F
Other
11%
Track &
Field
14%
Baseball
15%
A
Football
22%
Basketball
17%
m EF =
Find m EF. Do not round.
Soccer
21%
C
B
Answers
From the given below solution the value of m EF is 25%.
What is circle graphs?A circle graph, also known as a pie chart, is a type of data visualization that displays data as a circular graph, divided into sectors that represent numerical proportions.
Each sector of the circle represents a percentage or proportion of the total data set, and the size of each sector is proportional to its corresponding value.
To find m EF, we need to add the percentages of participation in sports E and F:
m EF = percentage of participation in sports E + percentage of participation in sports F
m EF = 11% + 14%
m EF = 25%
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Ver en español
Pam, the CEO of Zettabyte Tek, set up a $750,000 education fund. She wants to give each employee who takes a computer security class a $350 reimbursement toward the cost of the class. You can use a function to describe the amount of money left in the fund after x employees receive the reimbursement.
Write an equation for the function. If it is linear, write it in the form f(x)=mx+b. If it is exponential, write it in the form f(x)=a(b)x.
Answers
The formula for this linear function is f(x) = mx + b, where m is the slope (in this example, -350), and b is indeed the y-intercept (750,000 in this case).
What does a simple equation represent?An equation expressing the connection between the expressions on either side of a sign. Normally, it has an equal sign and just one variable. such as: 2x - 4 is equal to 2. The variable x is present in the example above.
Workers who complete the computer security course will each receive a reimbursement of $350.
We deduct $350x from of the initial $750,000 to determine how much money will remain inside the education fund once x employee gets the reimbursement.
Thus, f(x) = 750,000 - 350x is the equation again for function that describes that amount of money still in the fund when x employees receive the refund.
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Two students on roller skates stand face-toface, then push each other away. Which student will always have the fastest speed
Answers
Answer:
The student with lower weight will move faster than the one with higher weight.
Step-by-step explanation:
The students are on roller skates and it is assumed that their wheels are identical. They are on a frictionless flat horizontal ground. According to Newton's Law F=ma
Mass of student 1 is 97 kg
Mass of student 2 is 61 kg
The force magnitude is assumed to be equal and acceleration is same. The student with higher weight will have lesser force exerted than the student with lighter weight.
1. A room is 5 m by 3m. What is the area of the room?
Answers
Answer:
15m2 is the answer my friend.....
Answer:
Step-by-step explanation:
All you would do is multiply the length and the width, so you would multiply 5m by 3m and get 15m as your answer.
Say that a woman and a man (who are unrelated) each has two children. We know that at least one of the woman's children is a boy and that the man's oldest child is a boy. Can you explain why the chances that the woman has two boys do not equal the chances that the man has two boys?My algebra teacher insists that the probability is greater that the man has two boys, but I think the chances may be the same. What do you think?
Answers
Therefore, the probability that a woman will give birth to two boys is only one in three, whereas the probability that a man will do so is one in two.
What is probability?The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.
Here,
The woman may have at least one boy in the three following ways: 1) older boy, younger girl; 2) older girl younger boy; 3) older boy, younger boy.
But the man's children may be distributed in only two ways: 1) older boy, younger girl; or 2) older boy, younger boy.
So the chances are only 1 out of 3 that the woman has two boys, but the chances are 1 out of 2 that the man has two boys.
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Factor the following polynomial completely.
0.3x^2 - 3.6x + 8.1
A) 0.3(x - 3)(x - 9)
B) 0.3(x - 3)(x + 9)
C) -0.3(x^2 + 12x + 27)
D) 0.3(x^2 - 12x + 27)
Answers
Answer:
Step-by-step explanation:
hello :
divid 3.6 and 8.1 by 0.3 you have : 3.6/0.3 =12 and 8.1/0.3 =27
0.3x² - 3.6x + 8.1 = 0.3 (x²-12x+27) = 0.3(x - 3)(x - 9) ....answer A
Use the points A(1,5), B(1,-4), C(-3,5), D(-3,-4)
Pls lmk by Thursday
Answers
Using the points A(1,5), B(1,-4), C(-3,5), D(-3,-4) the following are matched:
Distance between points B and C = √97.
Distance between points A and B = 9.
Midpoint between points B and C = (-1, 1/2).
Midpoint between C and D = (-3, 1/2).
Slope of the line through B and D = 0.
What is the distance between two points of a line?The distance between two points of a line is given as:
Distance = \(\sqrt{c - a)^2 + (d - b)^2}\)
We have,
A(1,5), B(1,-4), C(-3,5) and D(-3,-4).
The distance between A and B.
= \(\sqrt{(1 - 1)^2 + (-4 - 5)^2}\)
= √81
= 9
The distance between B and C.
= \(\sqrt{(-3 - 1)^2 + (5 + 4)^2}\)
= √(16 + 81)
= √97
The midpoint (x, y) between B and C.
x = (1 - 3)/2 = -1
y = (-4 + 5) / 2 = 1/2
The midpoint (x, y) between C and D.
x = (-3 -3) / 2 = -6/2 = -3
y = (5 - 4) / 2 = 1/2
The slope of the line through points B and D.
= (-4 + 4) / (-3 - 1)
= 0/ -4
= 0
Thus,
The distance between A and B is 9.
The distance between B and C is √97.
The midpoint between B and C is (-1, 1/2).
The midpoint between C and D is (-3, 1/2).
The slope of the line through B and D is 0.
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If 400 x 300 = 120,000
And 40 x 30 is 1,200
Fill in the blanks and show your work
*_____ x ______ = 12,000?
Answers
Answer:
this list
Step-by-step explanation:
1×12000=12000
2×6000=12000
3×4000=12000
4×3000=12000
5×2400=12000
6×2000=12000
8×1500=12000
10 ×1200=12000
12 ×1000=12000
The table shows three transactions and the resulting account balance in a bank account, except some numbers are missing. Fill in the missing numbers.
Answers
Answer: A
Step-by-step explanation: Pic is attached. Hope this helps.
Arrange the following temperatures in ascending order and descending order.
a) 37°C, -15°C, 16°C, -12°C, 0°C, 96°C, -73°C
b) 20°C, -1°C -15°C 0°C, -7°C, 23°C, -36°C.
Answers
Answer:
a) -73°C, -15°C, -12°C, 0°C, 16°C, 37°C, 96°C
a) 96°C, 37°C, 16°C, 0°C, -12°C, -15°C, -73°C
b) -36°C, -15°C, -7°C, -1°C, 0°C, 20°C, 23°C
b) 23°C, 20°C, 0°C, -1°C, -7°C, -15°C, -36°C
Xx
Which equation models the rational function shown in
the graph?
2(x+2)
X-2
O f(x) =
O f(x) = x-2
x+2
2(x-2)
x+2
Of(x)=.
O f(x) = x+2
X-2
Answers
At x=2, the function in the graph is approaches to infinity. This is satisfied by equation 1 that models the rational function, hence option 1 is the correct answer.
What is equation?A mathematical definition of an equation is a claim that two expressions are equal when they are joined by the equals sign ("="). For illustration, 2x - 5 = 13.
Two expressions are combined in an equation using an equal symbol ("="). The "left-hand side" and "right-hand side" of the equation are the two expressions on either side of the equals sign. Typically, we consider an equation's right side to be zero.
From given graph we can see that
At x=2, the function in the graph is approaches to infinity.
It means function is not defined at x=2
We know that a rational function is undefined when denominator is equal to zero.
For equation 1:
f(x)= 2(x+2)/(x-2)
Equating the denominator:
x-2=0
x=2
It means function is not defined at x=2
The y-intercept is: y= -2
The function is passing through the point (1,-6).
When we substitute x=1
Hence, option 1 is true.
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help!The librarian measured the thickness of the textbooks in the school library. Among a selection of 6 books, he recorded the following thicknesses:
4 cm, 1 cm, 1 cm, 1 cm, 5 cm, 2 cm
What is the mode of the textbooks thicknesses?
____cm
Answers
The mode of the textbooks thicknesses is,
⇒ 1 cm
Since, The most frequent number which is, the number that occurs the highest number of times is called Mode of data set.
Here, We have to given that;
The librarian measured the thickness of the textbooks in the school library.
And, Among a selection of 6 books, he recorded the following thicknesses:
⇒ 4 cm, 1 cm, 1 cm, 1 cm, 5 cm, 2 cm
Hence, By definition of mode we get;
Here, Most often number in data set is, 1 cm
So, The mode of the textbooks thicknesses is,
⇒ 1 cm
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Aldo rented a truck for one day. There was a base fee of $18.95, and there was an additional charge of 87 cents for each mile driven. Aldo had to pay $183.38 when he returned the truck. For how many miles did he drive the truck?
Answers
Answer:
about 198 miles
Step-by-step explanation:
183.38
- 18.95
_______
164.45 divided by .87 is 198.0229885057
f(x)=x^2. What is g(x)?
Answers
Answer:
D, g(x) = 1/4 x^2
Step-by-step explanation:
You can try plugging in the x and y values into each equation. The answer to this would be D, where if you plug in 2 as the x value, you get 1/4 * 4 which equals 1. This also makes sense because 2x would have a narrower curve while 1/2x would have a wider curve.
Please Help! One natural number is 4 more than the other one. The product of the two numbers is three times the square of the smaller number. Find the numbers.
Answers
Answer:
Let n and n+4 be the numbers. Then:
n² + 3(n+4)=66
n²+3n-54=0
(n+9)(n-6)=0
n=6 or -9
n+4=10
Assuming positive integers only, the numbers are 6 and 10…..
Step-by-step explanation:
100% right
Natural number are those number that is used for the purpose of counting and ordering. The two natural numbers are 4 and 6.
What are Natural numbers?Natural number are those number that is used for the purpose of counting and ordering. It is denoted by 'N'.
Let the first number(bigger number) be 'a', and the smaller number be b.
As it is given that the first number is 4 more than the second number. Therefore, the equation can be written as,
a = b + 4
Now, it is given that the product of the two numbers is three times the square of the smaller number. Since, when we add four to b we get a, therefore, b is the smaller number. Therefore, the equation can be written as,
\(ab = 3(b^2)\\\)
As the value of a = b+4, substitute the value of a,
\((b+4)b = 3(b^2)\\\\(b+4) = \dfrac{3b^2}{b}\\\\b+4 = 3b\\\\4=3b-b\\\\4=2b\\\\b = 2\)
Thus, the value of b is 2.
In order to get 'a' add 4 to the value of b, therefore, the value of a is,
\(a = b+4\\\\a = 2+4 \\\\a=6\)
Hence, the two natural numbers are 4 and 6.
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a coffee mug collection includes four red mugs, eight yellow mugs and two white mugs. What is the probability of selecting two white mugs one after another?
Answers
Assuming that the selection process was done without replacement, the probability of selecting two white mugs without replacement is 1/28
Given dataSample Space
Red mugs = 4
yellow mugs = 8
white mugs = 2
Sample Size = 4+8+2 = 14
We are going to assume the selection was done with out replacement
Hence the probability of selecting the first white mug is
Pr(W1) = 2/8 = 1/4
The probability of selecting the second white mug is
Pr(W2) = 1/7
Hence the probability of selecting two white mugs one after another
= 1/4*1/7
=1/28
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