QuestionThe following data values represent the daily amount spent by a family during a 7 day summer vacation.Find the sample standard deviation of this dataset:$96, $125, $80, $110, $75, $100, $121Round the final answer to one decimal place.Provide your answer below:std
Answers
The dataset shown in the picture shows the daily amount spent by a family during a 7-day vacation.
The sample size is n=7
To calculate the standard deviation (S) you have to calculate its variance first. To calculate the sample variance (S²) you have to use the following formula:
\(S^2=\frac{1}{n-1}\lbrack\Sigma x^2_i-\frac{(\Sigma x_i)^2}{n}\rbrack\)Before calculating the variance, you have to calculate the sum of the observations (∑xi) and the sum of squares of the observations (∑xi²)
\(\begin{gathered} \Sigma x_i=96+125+80+110+75+100+121 \\ \Sigma x_i=707 \end{gathered}\)\(\begin{gathered} \Sigma x^2_i=96^2+125^2+80^2+110^2+75^2+100^2+121^2 \\ \Sigma x^2_i=73607 \end{gathered}\)Replace both sums on the formula to determine the variance:
\(\begin{gathered} S^2=\frac{1}{7-1}\lbrack73607-\frac{(707)^2}{7}\rbrack \\ S^2=\frac{1}{6}\lbrack73607-71407\rbrack \\ S^2=\frac{1}{6}\cdot2200 \\ S^2=366.67 \end{gathered}\)Once you have calculated the sample variance, to determine the sample standard deviation you have to calculate the square root of the variance:
\(\begin{gathered} S=\sqrt[]{S^2} \\ S=\sqrt[]{366.67} \\ S=19.148 \\ S\approx19.1 \end{gathered}\)The standard deviation of the data set is S= $19.1
Related Questions
A set of prime number between 5 and 15.express it in listing and setbuilder methods
Answers
Answer:
A set of prime number between 5 and 15.
Listing method:{ 7,11,13}
Set builder method:{X:X is a set of prime number between 5 and 15}
In listing method,the elements are listed inside the brackets.Listing method are also called rooster method.
In set builder method,the elements are represented by a variable stating their common properties.Set builder method are also called rule method.
Hope this helps...
Good luck on your assignment..
Find the slope of this problem
Answers
Answer:
1/9 rise 1 run 9
Step-by-step explanation:
if you graph the y coordinate as 3 and find the x value, x value should be 0. Point (0,3) and (-9,2) and do rise over run
Question
7(-3)=
Plz need help
Answers
Answer:
its -21
Step-by-step explanation:
its -21 because 7 x 3 is 21 but it's a -3 so -21
In the diagram below, NO is parallel to K L. If KN = 7, NO = 10, and
KL = 15, find the length of N M. Figures are not necessarily drawn to scale. State
your answer in simplest radical form, if necessary.
Answers
=====================================================
Work Shown:
\(\frac{\text{KM}}{\text{NM}} = \frac{\text{KL}}{\text{NO}}\\\\\frac{\text{KN}+\text{NM}}{\text{NM}} = \frac{\text{KL}}{\text{NO}}\\\\\frac{7+x}{x} = \frac{15}{10}\\\\10(7+x) = 15x\\\\\)
\(70+10x = 15x\\\\70 = 15x-10x\\\\5x = 70\\\\x = \frac{70}{5}\\\\x = 14\\\\\text{NM} = 14\)
Side note: The triangles are similar, which allows us to set up the proportion in step 1.
What is the best description of originality?
nonobvious
special or interesting
convergent
having a low probability, unique
Answers
Originality is the quality of being unique, new, and innovative. It requires creativity, imagination, inspiration, and nonobviousness. Special or interesting aspects may be present, but they are not sufficient to define originality.
Originality refers to the quality of being unique, new, and innovative. It involves creating something that has not been seen or experienced before. The best description of originality is that it is having a low probability and being unique.
An original idea, product, or work of art is something that has not been copied or imitated from others. It represents a new perspective or approach that can offer a fresh insight into a problem or challenge. Originality requires a high level of creativity, imagination, and inspiration, as well as a willingness to take risks and explore new possibilities.
Nonobviousness is also an important factor in originality. It means that the idea or invention is not something that would be obvious to someone skilled in the same field or industry. In other words, an original idea should not be something that could be easily predicted or anticipated.
Special or interesting are also characteristics of originality, but they are not sufficient to define it. An idea or product can be special or interesting without being truly original. For example, a new flavor of ice cream may be interesting, but it may not be original if it has already been created by someone else.
Convergent thinking, on the other hand, involves finding a single solution to a problem. It is the opposite of divergent thinking, which involves generating multiple ideas and possibilities. Convergent thinking is important for finding effective solutions to problems, but it is not the same as originality.
In conclusion, originality is the quality of being unique, new, and innovative. It requires creativity, imagination, inspiration, and nonobviousness. Special or interesting aspects may be present, but they are not sufficient to define originality.
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There are only a few roller coasters in the world whose path takes them underground. Suppose a portion of the roller coaster can be modeled by the function f(t) = (t2 − 13t + 40)(t2 − 2t + 3), where t represents the time elapsed in seconds since passing point A on the roller coaster and f(t) represents the height in feet above the ground. What am I supposed to write on the ticket?
Answers
Answer:
the blanks are in this order the top two are 5 and 8
then (-,+,+)
then (-,-,+)
then (+,+,+)
last (+,-,+)
Step-by-step explanation:
what 2.3892 decimal of the round to nearest hundredths
Answers
Answer:
2.38
Step-by-step explanation:
William wish1wish woman weeks whereby when wishful willful
As you may know, the 8 would be located in the hundreaths place.
2.3892
If the number right of 8 is five for less, it says the same. If it's 5 or more, then 8 would change. In this case, 9 is more than 5 meaning that 8 becomes 9. However, we aren't quite finished yet. 9 and everything left of that number must become 0.
Your answer would be 2.39.
Unions, intersections, and complements involving 2 sets
Sets B and C are subsets of the universal set U.
These sets are defined as follows.
U={f, k, m, s, x, y, z)
B={k, s, y}'
C={s,z}
(a) B'UC' = 1
(b) B'nc =
Answers
Intersection of B'∩C = {k, y}
To find the intersection of B' and C, we need to first find the complement of set B (B') and then find the intersection between B' and C.
1. Complement of set B (B'):
The complement of set B (B') consists of all elements in the universal set U that are not in set B. From the given information, set B is defined as {k, s, y}', which means it contains all elements in U except for k, s, and y. Therefore, the complement of set B is {f, m, x, z}.
2. Intersection between B' and C:
Now, we need to find the intersection between B' (complement of B) and set C. From the given information, set C is defined as {s, z}. To find the intersection, we need to identify the common elements between B' and C.
The elements present in both B' and C are k and y. Therefore, the intersection of B' and C is {k, y}.
So, the answer to (b) is B'∩C = {k, y}.
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Neptune Belvor decides to have a holiday festival at Convention Hall. There will be food and drinks for all, hotchocolate station, build your own gingerbread home competition, tree decoration station, make your ownholiday candle station and too top it all of SANTA will be there (or Coach IKE, dressed like him, real one is too busy).Tickets are selling for Students $5(under 18) and for Adults $11 (18+). The Event sold 9536 tickets and made$56,878. How many Adult tickets and how many Student tickets were sold?
Answers
Let 'x' represent the number of students tickets.
Let 'y' represent the number of adults tickets.
Two equations will be formed from the statements.
We were told that the total number of tickets sold is 9536 tickets.
\(x+y=9536\ldots\ldots\ldots1\)The total cost of the tickets is $56,878.
Given that tickets are selling for students $5(under 18) and for Adults $11(18+).
\(5x+11y=56878\ldots\ldots\ldots\text{.}.2\)Let us now combine the two equations and solve for x and y using the substitution method.
\(\begin{gathered} x+y=9536\ldots\ldots\ldots.1 \\ 5x+11y=56878\ldots\ldots\ldots.2 \end{gathered}\)Solving for x and y
Isolate x for x + y = 9536
x = 9536 - y
Substitute x = 9536 - y into equation 2
\(\begin{gathered} \begin{bmatrix}5\mleft(9536-y\mright)+11y=56878\end{bmatrix} \\ \end{gathered}\)Simplify
\(\begin{bmatrix}47680+6y=56878\end{bmatrix}\)Solve for y
\(\begin{gathered} 6y=56878-47680 \\ 6y=9198 \\ y=\frac{9198}{6}=1533 \\ \therefore y=1533 \end{gathered}\)For x = 9536 - y
\(\begin{gathered} \mathrm{Substitute\: }y=1533 \\ x=9536-1533 \\ x=8003 \end{gathered}\)The solution to the system of equations is,
\(x=8003,y=1533\)Hence, the number of tickets sold are
\(\begin{gathered} \text{Student}=8003\text{ tickets} \\ \text{Adult}=1533\text{ tickets} \end{gathered}\)
At the start of a trip, the odometer on a car read 21695 . At the end of the trip, 14.5 hours later, the odometer read 22490 . Assuming the scale on the odometer is in miles, what is the average speed the car traveled during the trip
Answers
Answer:
54.83mph(miles/hour)
Step-by-step explanation:
The unit of the odometer is in miles
Total Distance travelled = (22490 - 21695)miles
= 795 miles
Time spent on the trip = 14.5 hours
Speed = Distance/Time
= 795 miles /14.5 hours
= 54.8275862069 miles/hour(mph)
≈ 54.83mph(miles/hour)
Lucy had an baseball card. Today she gave 12 away. Using him run expression for the number of cards Lucy has left
Answers
Answer:
L-12
Step-by-step explanation:
Let "L" by lucy.
She gave 12 away, so the expression becomes: L-12
1. Bianca can walk 5/6 of a mile in 1/3 of an hour. What is her walking speed, in miles per hour?
2. How long, in minutes, does it take Bianca to walk 1 mile?
Answers
Answer:
1. 2.5 miles/hour
2. 24 minutes
Step-by-step explanation:
1. 5/6 of mile in 1/3 of an hour. In 1 hour, Bianca can walk 5/6 x 3 = 15/6 miles or 2.5 miles/hour
2. 5/6 of mile in 1/3 of an hour, hour in 1 mile = (1 x 1/3)/(5/6) = 2/5 = 0.4 hour = 24 minutes
PLEASE HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answers
Please Help). Use the figure below to answer the questions. A) Describe in words a sequenc of transformations that maps □ABC to □ A'B'C'. B) Write an ordered-pair rule for each transformation in the sequence. ( Will Mark Brainliest) Please only answer if you are 100% right. Need to get a good grade.
Answers
Answer:
We can see it is:
90° anticlockwise rotation about the origin followed by horizontal translation 2 units right.Rotation rule:
(x, y) → (-y, x)Translation rule:
(x, y) → (x + 2, y)guidance counselor compiles data relating a student's English grade to the number of languages studied. The results are shown in the frequency table below.
A 4-column table with 3 rows titled English grade versus number of languages studied. The first column has no label with entries English only, English and another language, total. The second column is labeled 90 or above with entries 15, 110, 125. The third column is labeled lower than 90 with entries 105, 270, 375. The fourth column is labeled total with entries 120, 380, 500.
The counselor converts the frequency table to a conditional relative frequency table by column.
A 4-column table with 3 rows titled English grade versus number of languages studied. The first column has no label with entries English only, English and another language, total. The second column is labeled 90 or above with entries 0.12, 0.88, 1.0. The third column is labeled lower than 90 with entries 0.28, 0.72, 1.0. The fourth column is labeled total with entries X, Y, 1.0.
What is the value of X?
0.16
0.20
0.24
0.40
Answers
Answer:
C:0.24
Step-by-step explanation:
4. Calculate the estimated cost of constructing the following house in New
Orleans, Louisiana: a two-story home of 950 ft2 on the first floor and 800 ft²
on the second floor.
O A. $113,750
O B. $67,600
O C. $61,750
O D. $52,000
Answers
The estimated cost for constructing the house in New Orleans, Louisiana of the given square feet is option A. $113,750.
What is Multiplication?Multiplication of two numbers is defined as the addition of one of the number repeatedly until the times of the other number.
a × b means that a is added to itself b times or b is added to itself a times.
Given that, construction rate per square feet is $65.
We have to find the estimated cost for a two-story home of 950 ft2 on the first floor and 800 ft² on the second floor.
Total area of the plot = 950 ft² + 800 ft²
= 1750 ft²
Estimated cost can be calculated by multiplying total area with the construction rate per square feet.
Estimated cost = 1750 ft² × $65
= $113,750
Hence the estimated cost is $113,750.
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Please see screenshot.
Answers
Answer:
See below
Step-by-step explanation:
what is the value of x and what type of angle is it ?
Answers
Answer:
This is called a supplementary angle. x = 12°
And for extra credit:
y is a vertical angle to 60° and a supplementary angle to x so
y = 60°
Step-by-step explanation:
Andre came up with the following puzzle. “I am three years younger than my brother, and I am 2 years older than my sister. My mom's age is one less than three times my brother's age. When you add all our ages, you get 87. What are our ages?"
Answers
Answer:
My age is 13
My brother's age is x+3= 13+3 = 16
My sister's age is x-2=13-2=11
My mother's age is 3(x+3)-1=3(13+3)-1=47
ASAP Please Help! I need to show all the work. IM really confused. Show all work to solve the equation for x. If a solution is extraneous, be sure to identify it in your final answer.
square root of the quantity x minus 2 end quantity plus 8 equals x
Answers
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Answer: x=11
Explanation: See below!
I hope this helped!
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- Zack Slocum
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer:
x = {6, 11}Step-by-step explanation:
\(\sqrt{x - 2} + 8 = x\\ \sqrt{x - 2} = x - 8\\x - 2 = (x - 8)^2\\x - 2 = x^2 - 16x + 64\\x^2 - 17x + 66 = 0\\(x^2 - 11x) - (6x - 66) = 0\\x(x - 11) - 6(x - 11) = 0\\(x - 6)(x - 11) = 0\\x - 6 = 6 >> x = 6\\x - 11 = 0 >> x = 11\)
I need the answer if you please don't answer the question uleash you are 100 percent right
Answers
Answer:
What are they making you do
Step-by-step explanation:
Explain how to find the 41st term of the arithmetic sequence where a1=5 and a7=34.
Answers
Answer:
198 1/3
Step-by-step explanation:
arithmetic sequence formula for the nth term:
aₙ = a₁ + (n-1)d
d = the common difference between each term
a₇ = a₁ + (7-1)d
34 = 5 + 6d
subtract 5 from both sides to isolate d and its coefficient
29 = 6d
divide both sides by 6 to isolate d
d = 29/6
a₄₁ = a₁ + (n-1)d
= 5 + (41-1)d
= 5 + 40d
= 5 + 40(29/6)
= 198 1/3
decide whether enough information is given to prove that the triangles are congruent. if so, state the theorem you can use. $\triangle abc,\ \triangle dbc$
Answers
11. The ΔACD is not equal and congruent to ΔBCD.
12. The ΔXYZ is equal and congruent to ΔPQZ.
13. The ΔMNL is not equal and congruent to ΔRSL.
What is congruency?
Congruent refers to something that is "absolutely equal" in terms of size and shape. The shapes hold true regardless of how we rotate, flip, or turn them. Draw two circles with the same radius, for instance, cut them out, and stack them on top of one another.
It is known that -
If two triangles are congruent, when they meet one of the following criteria -
a) All three pairs of corresponding sides should be equal.
b) Two pairs of corresponding sides and the corresponding angles between them should be equal.
c) Two pairs of corresponding angles and the corresponding sides between them should be equal.
11. In the first diagram, it is given that line segments -
AD = BD
CD = CD (common in both the triangles)
It is given that angles -
∠A ≅ ∠B
This proves that AD ≅ BD and CD = CD.
If ΔACD is congruent with ΔBCD then ∠ADC ≅ ∠BDC.
But not enough information is given about ∠ADC and ∠BDC.
Therefore, ΔACD is not congruent with ΔBCD.
12. In the second diagram, it is given that -
Z is the midpoint of line segment XQ and YP.
This means that line segments -
XZ = ZQ
YZ = ZP
It is also given that ∠XZY = ∠PZQ as they form a pair of vertically opposite angles which are equal.
So, the criteria two pairs of corresponding sides and the corresponding angles between them should be equal is fulfilled.
Therefore, ΔXYZ is congruent with ΔPQZ.
13. In the third diagram, it is given that line segments-
MN ≅ LR
LN ≅ LS
It is given that angles -
∠LMN ≅ ∠LRS
If the line segments MN ≅ LR and LN ≅ LS, then ∠MNL ≅ ∠NLS
But not enough information is given about ∠MNL and ∠NLS being equal.
Therefore, ΔMNL is not congruent with ΔRSL.
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Find the volume of the composite shape. And round to the nearest tenth.
Answers
Answer:
2010
Step-by-step explanation:
volume of a cube= hxlxw
5x5x5=125
V=πr2h
π10^2x6=1884.9=1885
1885+125=2010
What is the solution to this system of equations 3x+y=17 and x+2y=49
Answers
Answer:x=-3 y=26
Step-by-step explanation:
3x+y=17.............(1)
x+2y=49..............(11)
From (11) x=49-2y
Substitute x=49-2y in 3x+y=17
3(49-2y) + y=17
Open bracket
147-6y+y=17
147-5y=17
Collect like terms
5y=147-17
5y=130
Divide both sides by 5
5y/5=130/5
y=26
Substitute y=26 in x+2y=49
x+2(26)=49
x+52=49
Collect like terms
x=49-52
x=-3
Answer:
It has a single solution: x = -3, y = 26.
Step-by-step explanation:
Bandhan Bank employee salary after 10 years
Answers
Answer:
- Banking Operations salary in India with less than 1 year of experience to 10 years ranges from ₹ 1.4 Lakhs to ₹ 7 Lakhs with an average annual salary of ₹ 3.1 Lakhs based on 261 latest salaries
If f(a)=a squared plus 7 for all real values of a, which of the following are possible values of a: square root of 5, square root of 7 or 100 times the square root of 3
Answers
100 times the square root of 3 is also a possible value of a for this function.
What is a square root?In mathematics, the square root of a non-negative real number "a" is a non-negative real number that, when multiplied by itself, gives the original number "a". It is denoted by the symbol "√".
According to question:We can substitute each of the given values into the function f(a) = a² + 7 to determine if they are possible values of a.
Substituting the square root of 5:
f(√(5)) = (√(5))² + 7 = 5 + 7 = 12
So, the square root of 5 is not a possible value of a for this function.
Substituting the square root of 7:
f(√(7)) = (√(7))² + 7 = 7 + 7 = 14
So, the square root of 7 is a possible value of a for this function.
Substituting 100 times the square root of 3:
f(100√(3)) = (100√(3))² + 7 = 30000 + 7 = 30007
So, 100 times the square root of 3 is also a possible value of a for this function.
Therefore, the possible values of a for the given function are:
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translate in terms of x then solve the algebra equation the sum of a number and 3 is subtracted from 10 the result is 5
Answers
Answer:
x=2
Step-by-step explanation:
10 - (x + 3) = 5
To solve for x, we can start by simplifying the left side of the equation:
10 - (x + 3) = 5
10 - x - 3 = 5
7 - x = 5
Next, we can isolate x on one side of the equation by subtracting 7 from both sides:
7 - x = 5
7 - x - 7 = 5 - 7
-x = -2
Finally, we can solve for x by dividing both sides of the equation by -1:
-x = -2
x = 2
Therefore, the solution to the equation is x = 2.
A self storage center is a storage room that is 8 feet long, 6 feet wide, and 10 feet high. What is the volume of the room?
Answers
Answer:
480 cubic feet
Step-by-step explanation:
The volume of any rectangular prism can be found by multiplying together the length, width and height. In this case, 8*6*10=48*10=480 cubic feet. Hope this helps!
Answer:
\(480 {ft}^{3} \)
Step-by-step explanation:
\(area \\ = l \times b \times h \\ = 8 \times 6 \times 10 \\ = 48 \times 10 \\ = 480 {ft}^{3} \)
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The perimeter of Marisa's garden is 32 feet. The width is 6 feet. What is the length of
Marisa's garden?
Answers
The length of Marisa's garden is 10
What is the length of Marisa's garden?The given parameters are:
Perimeter = 32 feet
Width = 6 feet
The perimeter is calculated as:'
Perimeter = 2 * (Length + width)
So, we have
2 * (Length + 6) = 32
Divide by 2
Length + 6 = 16
Subtract
Length = 10
Hence, the length of Marisa's garden is 10
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