Find the standard deviation of
the given data rounded to the
nearest hundredth.
147, 141, 120, 124, 128
Answers
The standard deviation of the given data is rounded to the nearest hundredth will be 10.2.
What is the standard deviation?It is a measurement of statistical data dispersion. The degree to which the value varies is known as standard deviation.
Count, N = 5
Sum, Σx: 660
σ is the standard deviation
The mean of the data is x ;
μ = (147+141+120+124+128)/5
μ= 132
Mean, μ: 132
The standard deviation is found as;
\(\rm \sigma = \sqrtr{\frac{(x_1-\mu)^2+(x_2-\mu)^2 +(x_3-\mu)^2+(x_4-\mu)^2+(x_5-\mu)^2}{n-1}}\\\\ \sigma =\sqrtr{\frac{(147-132)^2+(141-132)^2 +(120-132)^2+(124-132)^2+(128-132)^2}{5-1}}\\\\ \sigma = 10.2\)
Hence, the standard deviation of the given data is 10.2
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Answer:
10.30
Step-by-step explanation:
10.29563
Rounded to nearest hundredth
Related Questions
What is the correlation coefficient for the data shown in the table? A1 B -1 C5 D10
Answers
Answer:
What do you mean i need an explaination
Step-by-step explanation:
Answer:
You need to show the table
Step-by-step explanation:
We can't answer without that info
Perimeter is 25 cm, find x 10 8.2 cm
Answers
find the Binary number for Decimal number 527 . please show steps ,
Answers
Decimal is a numerical base-ten system that uses ten digits to represent numbers (0,1,2,3,4,5,6,7,8,9). Binary, on the other hand, is a base-two number system that uses two digits, 0 and 1, to represent numbers.
To find the binary number for decimal number 527, we can use the division method. This involves dividing the decimal number by 2 and writing down the remainder and quotient.
1. Start by dividing 527 by 2 to get the quotient and remainder.
2. The quotient is 263 and the remainder is 1.
3. Write down the remainder, which is 1, as the least significant digit of the binary number.
4. Divide the quotient (263) by 2 to get the next quotient and remainder.
5. The quotient is 131 and the remainder is 1.
6. Write down the remainder, which is 1, as the next digit of the binary number, to the left of the first digit.
7. Divide the quotient (131) by 2 to get the next quotient and remainder.
8. The quotient is 65 and the remainder is 1.
9. Write down the remainder, which is 1, as the next digit of the binary number, to the left of the second digit.
10. Repeat the division process until the quotient is zero.
11. The binary number for decimal number 527 is 1000011111.
The binary number for decimal number 527 is 1000011111.
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What is the probability that a standard number cube will show a two or four when it is rolled?
Answers
Explanation:
The cube has six sides, and two and four take two sides.
Two= 1/6 of the cube
Four=1/6 of the cube
1/6+1/6= 2/6
The state of a spin 1/2 particle in Sx basis is defined as (Ψ) = c+l + x) + i/√7 l - x) a) Find the amplitude c+ assuming that it is a real number and the state vector is properly defined. b) Find the expectation value . c) Find the uncertainty △SX.
Answers
1) The amplitude c+ is c+l
2) The expectation value is 0
3) The uncertainty ΔSX is √(3/7) c+.
Now, we know that any wave function can be written as a linear combination of two spin states (up and down), which can be written as:
Ψ = c+ |+> + c- |->
where c+ and c- are complex constants, and |+> and |-> are the two orthogonal spin states such that Sx|+> = +1/2|+> and Sx|-> = -1/2|->.
Hence, we can write the given wave function as:Ψ = c+|+> + i/√7|->
Now, we know that the given wave function has been defined in Sx basis, and not in the basis of |+> and |->.
Therefore, we need to write |+> and |-> in terms of |l> and |r> (where |l> and |r> are two orthogonal spin states such that Sy|l> = i/2|l> and Sy|r> = -i/2|r>).
Now, |+> can be written as:|+> = 1/√2(|l> + |r>)
Similarly, |-> can be written as:|-> = 1/√2(|l> - |r>)
Therefore, the given wave function can be written as:Ψ = (c+/√2)(|l> + |r>) + i/(√7√2)(|l> - |r>)
Therefore, we can write:c+|l> + i/(√7)|r> = (c+/√2)|+> + i/(√7√2)|->
Comparing the coefficients of |+> and |-> on both sides of the above equation, we get:
c+/√2 = c+l/√2 + i/(√7√2)
Therefore, c+ = c+l
The amplitude c+ is a real number and is equal to c+l
The expectation value of the operator Sx is given by: = <Ψ|Sx|Ψ>
Now, Sx|l> = 1/2|r> and Sx|r> = -1/2|l>
Hence, = (c+l*) + (c+l) + (i/√7) - (i/√7)(c+l*)= -i/√7(c+l*) + i/√7(c+l)= 2i/√7 Im(c+)
As c+ is a real number, Im(c+) = 0
Therefore, = 0
The uncertainty ΔSX in the state |Ψ> is given by:
ΔSX = √( - 2)
where = <Ψ|Sx2|Ψ>and2 = (<Ψ|Sx|Ψ>)2
Now, Sx2|l> = 1/4|l> and Sx2|r> = 1/4|r>
Hence, = (c+l*) + (c+l) + (i/√7) - (i/√7)(c+l*)= 1/4(c+l* + c+l) + 1/4(c+l + c+l*) + i/(2√7)(c+l* - c+l) - i/(2√7)(c+l - c+l*)= = 1/4(c+l + c+l*)
Now,2 = (2i/√7)2= 4/7ΔSX = √( - 2)= √(1/4(c+l + c+l*) - 4/7)= √(3/14(c+l + c+l*))= √(3/14 * 2c+)= √(3/7) c+
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please help guys, giving brainlest and points, i need two more then it is due. thank you so much love y’all so much!!
Answers
In the figure below, segment AB is the hypotenuse of right triangle ABC.
Which of the following could be the coordinates of point C?
Answers A. (2,2) B. (0, 0) C. (2,1) D. (1,7)
Answers
Answer:
C. (2,1)
Step-by-step explanation:
have a great day :)
This reduction was drawn at a scale of 1 inch scaled to 4 feet actual. What is the actual height of the giraffe?
Answers
Answer:
5 inches tall i think
Step-by-step explanation:
sorry if its wrong
El papa de Carlos compró 5 películas por $250 si solo comprara 2 películas ?cuanto pagaría?
Answers
A small hotel in central London has 8 rooms. Based on data collected over the last five years, it was estimated that the probability a room is occupied on any particular "weekend" night (Saturday and Sunday) is 0.75. This is the probability of success. On any particular "weekend" night, a hotel is only occupied (Success) or not occupied (Failure). There are no other possibilities. Required: What is the probability that at least 4 of the 7 hotel rooms are occupied on any weekend night? Note: Show all your calculations in well laid-out Excel spreadsheet tables with clear headings and include formulas. Give your answers correct to 3 decimal places.
Answers
Based on the given data, the probability of a room being occupied on any particular weekend night is 0.75. To calculate the probability that at least 4 out of the 7 rooms are occupied on a weekend night, we can use the binomial probability formula. By summing up the probabilities for 4, 5, 6, and 7 occupied rooms, we find that the probability is approximately 0.923.
To calculate the probability, we can use the binomial probability formula, which states that the probability of getting exactly k successes in n independent Bernoulli trials, each with a probability p of success, is given by the formula:
P(X = k) = (n choose k) * p^k * (1 - p)^(n - k)
In this case, we want to find the probability of at least 4 out of 7 rooms being occupied on a weekend night. We can calculate this by summing up the probabilities of getting 4, 5, 6, and 7 occupied rooms.
For 4 occupied rooms:
P(X = 4) = (7 choose 4) * 0.75^4 * (1 - 0.75)^(7 - 4) = 0.339
For 5 occupied rooms:
P(X = 5) = (7 choose 5) * 0.75^5 * (1 - 0.75)^(7 - 5) = 0.395
For 6 occupied rooms:
P(X = 6) = (7 choose 6) * 0.75^6 * (1 - 0.75)^(7 - 6) = 0.266
For 7 occupied rooms:
P(X = 7) = (7 choose 7) * 0.75^7 * (1 - 0.75)^(7 - 7) = 0.122
To find the probability of at least 4 occupied rooms, we sum up the probabilities for 4, 5, 6, and 7 occupied rooms:
P(X >= 4) = P(X = 4) + P(X = 5) + P(X = 6) + P(X = 7) = 0.339 + 0.395 + 0.266 + 0.122 = 0.923
Therefore, the probability that at least 4 out of the 7 hotel rooms are occupied on any weekend night is approximately 0.923, or 92.3% when rounded to three decimal places.
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Based on the given data, the probability of a room being occupied on any particular weekend night is 0.75.
To calculate the probability that at least 4 out of the 7 rooms are occupied on a weekend night, we can use the binomial probability formula. By summing up the probabilities for 4, 5, 6, and 7 occupied rooms, we find that the probability is approximately 0.923.
To calculate the probability, we can use the binomial probability formula, which states that the probability of getting exactly k successes in n independent Bernoulli trials, each with a probability p of success, is given by the formula:
P(X = k) = (n choose k) * p^k * (1 - p)^(n - k)
In this case, we want to find the probability of at least 4 out of 7 rooms being occupied on a weekend night. We can calculate this by summing up the probabilities of getting 4, 5, 6, and 7 occupied rooms. For 4 occupied rooms:
P(X = 4) = (7 choose 4) * 0.75^4 * (1 - 0.75)^(7 - 4) = 0.339
For 5 occupied rooms:
P(X = 5) = (7 choose 5) * 0.75^5 * (1 - 0.75)^(7 - 5) = 0.395
For 6 occupied rooms:
P(X = 6) = (7 choose 6) * 0.75^6 * (1 - 0.75)^(7 - 6) = 0.266
For 7 occupied rooms:
P(X = 7) = (7 choose 7) * 0.75^7 * (1 - 0.75)^(7 - 7) = 0.122
To find the probability of at least 4 occupied rooms, we sum up the probabilities for 4, 5, 6, and 7 occupied rooms:
P(X >= 4) = P(X = 4) + P(X = 5) + P(X = 6) + P(X = 7) = 0.339 + 0.395 + 0.266 + 0.122 = 0.923. Therefore, the probability that at least 4 out of the 7 hotel rooms are occupied on any weekend night is approximately 0.923, or 92.3% when rounded to three decimal places.
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Write the equations of two lines that are parallel to the line
3x – 6y – 5 = 0.
Answers
use green's theorem to find the counterclockwise circulation and outward flux for the field f=(7x−4y)i (9y−4x)j and curve c: the square bounded by x=0, x=4, y=0, y=4.
Answers
The counterclockwise circulation around c is 12 and the outward flux through c is zero.
Green's theorem is a useful tool for calculating the circulation and flux of a vector field around a closed curve in two-dimensional space.
In this case,
we have a field f=(7x−4y)i+(9y−4x)j and
a square curve c bounded by x=0, x=4, y=0, y=4.
To find the counterclockwise circulation, we can use the line integral of f along c, which is equal to the double integral of the curl of f over the region enclosed by c.
The curl of f is given by (0,0,3), so the line integral evaluates to 12.
To find the outward flux, we can use the double integral of the divergence of f over the same region, which is equal to zero since the divergence of f is also zero.
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what is greatest common denominator of 72 and 159)
Answers
Answer:
3
Step-by-step explanation:
The greatest common divisor (GCD) of two nonzero integers a and b is the greatest positive integer d such that d is a divisor of both a and b (Wikipedia)
To find out which is the GCD of 72 and 159, keep factoring both until they cannot be factored any more
Then take the factors common to both list of factors; the greatest among them is the GCD
The factors of 72 are: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
The factors of 159 are: 1, 3, 53, 159
The common factors are 1, 3
So GCD is 3
If a process improvement has changed the mean observed time for element 6 to 1.50 minutes, what is the new standard time for the navigator iii?.
Answers
9 minutes is the new standard time for the navigator iii.
What is statistics and example?
Statistics is the branch of mathematics that deals with the gathering, tabulating, and analysis of numerical data. Statistics is defined as numerical data. A report of data indicating the number of adherents of each religion in a specific nation is an example of statistics.If a process improvement has changed the mean observed time for element 6 to 1.50 minutes, then
Element 1 2 3 4 5 6
Mean obs. Time(t) 1.11 3.1 0.895 1.283333 1.565 1.5
Normal time 1.0545 1.395 0.93975 1.283333 1.33025 1.65 Sum
Standard time 1.240588 1.641176 1.105588 1.509804 1.565 1.941176
Sum 9.003333
New standard time = 9 minutes
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A recipe for cooking turkey states to cook the turkey 15 minutes per pound. Add an additional 5 minutes per pound if the Turkey is stuffed. Our turkey is 16 pounds and will be stuffed. We plan to eat at 1:00 PM. Allow 30 minutes for cooling and carving. What time does the turkey have to be put in the oven?
Answers
Answer:
The turkey has to be put in the oven at 7:10 AM.
Step-by-step explanation:
We have:
Turkey stuffed with 16 pounds
Since the time of cooking is 15 minutes per pound with an addition of 5 minutes per pound when the turkey is stuffed, hence we have:
\(T = 16 pounds*15 \frac{min}{pound} + 5 \frac{min}{pound}*16 pounds = 320 min = 5 h + 20 min\)
Therefore, the total time of cooking is 320 minutes or 5 hours plus 20 minutes.
If they plan to eat at 1:00 PM with 30 minutes for cooling and carving, then:
\(t_{o} = 13 h - 5.33 h - \frac{1}{2} h = 7 h + 10 min\)
Hence, the turkey has to be put in the oven at 7:10 AM.
I hope it helps you!
Find the volume: 5ft 5ft 8ft 3ft
Answers
Answer:
120ft
Step-by-step explanation:
8 x 3 x 5
if a woodworker builds 3/7 chair in 3/4 hour, how long does it takes the woodworker to build 1 chair
Answers
Answer:
it would take him 4/7 of an hour
Step-by-step explanation:
Mia rides her bike 15 1/4 miles every day.
How many miles does Mia ride in 4 days?
Answers
Answer:
61 miles
Step-by-step explanation:
Since the distance Mia travels is constant, we can find the distance travelled over four days by multiplying 15 1/4 by 4:
(15 1/4) * 4 = 61
Thus, Mia travels 61 miles in 4 days
what is the equstion of s line with a y-intercept of -5 and a slope of 8
Answers
Answer:
y = 8x - 5
Step-by-step explanation:
Given:
Slope: 8Y-intercept: -5To find:
Equation.How to find:
The slope is always known as "constant of variation" or "rate of change", but it's basically the increase of both y and x axes in simple terms. The decrease or increase in two points together and then found with the formula of rise/run (increase and decrease) (horizontal line/vertical line).
The y-intercept is always on the y-axis and is the beginning of what is learned in pre-algebra as a "story" which helps students practice finding the slope which again, is the change with "per" or "each".
Make sure to use the formula:
y = mx + b
Now we insert.
y = 8x <---------- slope
y = 8x - 5 <------ y-intercept and completed slope-intercept equation.
The reason it has a negative is because it started out as a negative y-intercept and is increasing by 8 through ordered pairs.
Answer:
y = 8x - 5
Step-by-step explanation:
because if its has a slope of 8 then m is 8
if the y intercept is -5 the b is -5
y = mx + b
y = 8x -5
What begins with T, ends with T, and has T in it?
Answers
Answer: A teapot.
Step-by-step explanation:
Identifying a Point on Perpendicular Lines On a coordinate plane, line M N goes through points (2, 3) and (negative 3, 2). Point K is at (3, negative 3). Which point could be on the line that is perpendicular to Line M N and passes through point K? (0, −12) (2, 2) (4, 8) (5, 13)
Answers
To determine which point could be on the line that is perpendicular to Line MN and passes through point K, we need to analyze the slopes of the two lines.
First, let's find the slope of Line MN using the given points (2, 3) and (-3, 2):
Slope of Line MN = (2 - 3) / (-3 - 2) = -1 / -5 = 1/5
Since the lines are perpendicular, the slope of the perpendicular line will be the negative reciprocal of the slope of Line MN. Therefore, the slope of the perpendicular line is -5/1 = -5.
Now let's check the given points to see which one satisfies the condition of having a slope of -5 when passing through point K (3, -3):
For point (0, -12):
Slope = (-12 - (-3)) / (0 - 3) = -9 / -3 = 3 ≠ -5
For point (2, 2):
Slope = (2 - (-3)) / (2 - 3) = 5 / -1 = -5 (Matches the slope of the perpendicular line)
For point (4, 8):
Slope = (8 - (-3)) / (4 - 3) = 11 / 1 = 11 ≠ -5
For point (5, 13):
Slope = (13 - (-3)) / (5 - 3) = 16 / 2 = 8 ≠ -5
Therefore, the point (2, 2) could be on the line that is perpendicular to Line MN and passes through point K.
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(6x^2+5x-3)+(x^2-9) find the sum please
Answers
Answer:
7x^2+5x-12
Step-by-step explanation:
(6x^2+5x-3)+(x^2-9)
Combine like terms
(6x^2+ x^2+5x-3-9)
7x^2+5x-12
what is 4/6 ÷ 3/12?
Will give brainly to correct answer.
Answers
Answer:
2 2/3
Step-by-step explanation:
4/6 ÷ 3/12
Copy dot flip
4/6 * 12/3
Rewriting
4/3 * 12/6
4/3 * 2
8/3
Changing to a mixed number
2 2/3
help i dont get it pelase
Answers
Step-by-step explanation:
(-1,3)
just move the point over 5 lines and then up 4 lines. or
4-5 = -1
-1 +4=3
On a spelling test of 100 words, most students spell between 68 and 75 words correctly. Which term best describes the only student who spelled 99 words correctly? A. symmetric B. outlier C. distributed D. average
Answers
Answer:
B, outlier
Step-by-step explanation:
Point E is on line segment DF. Given DE=9 and DF=11, determine the length EF.
Answers
Answer:
EF = 2 units
Step-by-step explanation:
Given:
Line segment DF and point E on it.
DF = 11 unit
DE = 9 Unit
Find:
EF
Computation:
We know that,
DF = DE + EF
11 = 9 + EF
EF = 11-9
EF = 2 units
On a bicycle trail, the city is painting arrows like the one shown below:
Upper pointing arrow with height of 15 and length of 13. Rectangular base of arrow has length of 11 and height of 12. All units are in centimeters.
Calculate the area of the arrow by decomposing it into rectangles and triangles. (4 points)
195 square centimeters
171 square centimeters
151.5 square centimeters
148.5 square centimeters
Answers
The Area of the composite figure = area of the rectangle + area of the triangle = 148.5 cm².
What is the Area of a Composite Figure?The figure formed by the arrow can be decomposed into a rectangle and a triangle.
The area of the composite figure = area of the rectangle + area of the triangle.
Find the area of the rectangle:
Length = 12 cm
Width = 11 cm
Area of the rectangle = (length)(width) = (12)(11)
Area of the rectangle = 132 cm²
Find the area of the triangle
Base = 11 cm
Height = 15 - 12 = 3 cm
Area of the triangle = 1/2(b)(h) = 1/2(11)(3)
Area of the triangle = 16.5 cm²
Area of the composite figure = area of the rectangle + area of the triangle = 132 + 16.5 = 148.5 cm².
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Estimate the area under the graph of f(x)=1x+1 over the interval [2,6] using five approximating rectangles and right endpoints.
Rn=
Repeat the approximation using left endpoints.
Ln=
Report answers accurate to 4 places. Remember not to round too early in your calculations.
Answers
The estimated area under the graph of f(x) = 1/x + 1 over the interval [2, 6] using five approximating rectangles and right endpoints is R5 = 1.669.
How can we estimate the area under the graphusing five approximating rectangles and left endpoints?The area under the graph of f(x) = 1/x + 1 over the interval [2, 6] can be estimated by dividing the interval into five subintervals and using the right endpoints of each subinterval to construct rectangles. The width of each rectangle is (6 - 2)/5 = 0.8, and the height of each rectangle is determined by evaluating the function at the right endpoint of the subinterval. The sum of the areas of these five rectangles gives the approximation R5 = 1.669.
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For each condition, make up a different equation for a quadratic function that meets the condition. Use whatever form is most conventions.
1. Has vertex at (-2,-5)
2. Has a y-intercept at (0,6)
3. Goes through the points (4,2) and (1,2)
Answers
y=−12(x+4)(x−1) A quadratic function that satisfies the requirement and passes through the points (4, 2) and has the equation +2 (1,2) .
what is equation ?A mathematical formula known as an equation combines two assertions using the equal sign (=) to denote equivalence. The terms 3x + 5 and 14 are separated by an equal sign in the equation 3x + 5 = 14, for example. Mathematical equations are used to express the relationship between two phrases on either side of a letter. In most cases, the symbol serves as the sole variable. a good example is 2x - 4 = 2.
given
a )a vertex at (−2,−5) :
y=\((x+2)^{2}\)−5
y=−\((x+2)^{2}\)−5
y=3\((x+2)^{2}\)−5
b) a y-intercept of (0,−6) :
y=\(x^{2}\)−6
y=\(x^{2}\)+13x−6
y=2\(x^{2}\)−6
c) the points (−4,2) and (1,2):
y=(x+4)(x−1)+2
y=2(x+4)(x−1)+2
y=−12(x+4)(x−1)+2
y=−12(x+4)(x−1) A quadratic function that satisfies the requirement and passes through the points (4, 2) and has the equation +2 (1,2).
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A recent survey of 8,000 high school students found that the mean price of a prom dress was $195. 00 with a standard deviation of $12. 0. Alyssa thinks that her school is more fashion conscious and that students spent more than $195. 0. She collected data from 20 people in her high school and found that the average price spent on a prom dress was $208. 0. Which of the following are the correct null hypothesis and alternate hypothesis? H0: Mu = 195; Ha: Mu greater-than 195 H0: Mu not-equals 195; Ha: Mu = 208 H0: Mu = 195; Ha: Mu not-equals 195 H0: Mu = 195; Ha: Mu greater-than-or-equal-to 208.
Answers
The correct null hypothesis and alternate hypothesis will be
\(H_{0} =\mu=195\\H_{a} =\mu > 195\)
What will be the correct null hypothesis and alternate hypothesis?It is given that
The mean price of a prom dress was $195. 00 with a standard deviation of $12. 0
Given that Alyssa thinks that her school is more fashion-conscious and that students spent more than $195.00.
She collected data from 20 people in her high school and found that the average price spent on a prom dress was $208.00.
Since she wants to check whether the sample mean \(\mu\) is the same as the population mean \(\mu\) = 195
\(H_{0} =\mu=195\\H_{a} =\mu > 195\)
(Right hypothesis test)
Thus the correct null hypothesis and alternate hypothesis will be
\(H_{0} =\mu=195\\H_{a} =\mu > 195\)
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Answer: OPTION A
Step-by-step explanation: