you measure the period of a mass oscillating on a vertical spring ten times as follows: period (s): 1.06, 1.31, 1.28, 0.99, 1.48, 1.37, 0.98, 1.31, 1.59, 1.55 what are the mean and (sample) standard deviation?
The mean and (sample) standard deviation σ = 0.2098.
What exactly would the standard deviation indicate?The term "standard deviation" (or "") refers to the degree of dispersion of the data from the mean. Data are grouped around the mean when the standard deviation is low, and are more dispersed when the standard deviation is high.
According to given information:The mean is the product of the dataset's total and the sample size. Mathematically.
[tex]\bar{x}=\frac{\sum X_i}{N}[/tex]
The individual periods are Xi.
The sample size is N.
[tex]\sum X i[/tex] = 1.06 + 1.31 + 1.28 + 0.99,+ 1.48 + 1.37+ 0.98 + 1.31 + 1.59 + 1.55
[tex]\sum X i[/tex] = 12.92
N = 10
While substituting the value we get:
x = 12.96/10
x = 1.292
The samples' average is 1.292.
The standard deviation:
[tex]\sigma=\sqrt{\frac{\sum(x-\bar{x})^2}{N}}[/tex]
[tex]\sum(x-\bar{x})^2[/tex] = (1.48-1.292)^2+(1.37-1.292)^2+(0.98-1.292)^2+(1.31-1.292)^2+(1.59-1.292)^2+(1.55-1.292)^2.
[tex]\sum(x-\bar{x})^2[/tex] = 0.43996
Putting into the formula we get:
[tex]\sigma=\sqrt{\frac{0.43996}{10}}[/tex]
σ = √(0.043996)
σ = 0.2098
The mean and (sample) standard deviation σ = 0.2098.
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I understand that the question you are looking for is:
You measure the period of a mass oscillating on a vertical spring ten times as follows:
Period (s): 1.06, 1.31, 1.28, 0.99, 1.48, 1.37, 0.98, 1.31, 1.59, 1.55
Required:
What are the mean and (sample) standard deviation?
a. Mean: 1.228, Standard Deviation: 0.2135
b. Mean: 1.325, Standard Deviation: 0.1674
c. Mean: 1.292. Standard Deviation: 0.2211
d. Mean: 1.228, Standard Deviation: 0.2098
e. Mean: 1.292, Standard Deviation: 0.2135
10 POINTS Which equation has infinitely many solutions?
22x - 15 = -3(3 + 4x)
-12x - 15 = -3(3 + 4x)
-12x - 9 = -3(3 + 4x)
22x - 15 = -5(3 + 4x)
381 1/10 -214 43/100
Answer:
Exact Form:
16667 /100
Decimal Form:
166.67
Mixed Number Form:
166 67/100
Step-by-step explanation:
Answer:
166.67
step by step
search it up
select all the intervals where h is decreasing
Answer:
It is A) -4
Step-by-step explanation:
A 16 2/5 ounce package of cough drops cost $0.99. What is the unit cost per ounce?
Answer: $0.06 per ounce
Explain: You need to convert the mixed number to a decimal number.
16 2/5 = 16.4 oz
The divide $0.99 is divide by 16.4 = $0.06 per ounce
Thank you if you can give me a Brainliest.
PLZ HELP ME QUICKKKKKKKKKKK
Answer:
i guess
Step-by-step explanation:
at the olympic games, many events have several rounds of competition. one of these events is the men's 100100100-meter backstroke. the upper dot plot shows the times (in seconds) of the top 888 finishers in the semifinal round at the 201220122012 olympics. the lower dot plot shows the times of the same 888 swimmers in the final round.
The variance semifinal round data, s² ≈ 0.10411
The variance of the final round data, s² ≈ 0.26
Semifinal Round
∑(t × f(t)) = 426.5, ∑f(t) = 8
Average = mean = ∑ (t × f(t))/∑f(t)
Therefore;
In semifinal round average time = [tex]\frac{426.5}{8}[/tex]=53.3125
∑(t² × f(t)) = 22,738.51, ∑f(t) = 8
sample variance = (∑x²·f(t) - ((∑×·f(t))²)/∑f(t))/ ∑f(t) -1
s²=0.10411
Final round
In final round average time =[tex]\frac{425.5}{8}[/tex]=53.1875
∑(t² × f(t)) = 22,633.07, ∑f(t) = 8
The variance of the final round data, s² ≈ 0.26
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Answer:
C.None of the above
Step-by-step explanation:
Let's consider the first answer choice:
The times in the semifinals were faster on average than the times in the finals.
We don't have to calculate the mean values of each distribution because we can see visually that the center of the final round distribution is lower than the center of the semifinal round distribution.
Since lower times are faster, we can't say that the times in the semifinals were faster on average than the times in the finals.
Now, let's consider the second answer choice:
The times in the finals vary noticeably less than the times in the semifinals.
We can see visually that the final round distribution is more spread out than the semifinal round distribution. We could calculate MAD or IQR from these displays, but we can see that the range of the final round distribution is larger.
So we can't conclude that the times in the finals vary noticeably less than the times in the semifinals.
quartiles of -5,-4,-3,-2,-1,0,1,2,3,5,7,7,7
Step-by-step explanation:
, mark down the median, Q2, which in this case is the 10th value: 75. Q1 is the central point between the smallest score and the median. In this case, Q1 falls between the first and fifth score: 68. (Note that the median can also be included when calculating Q1 or
A theater is showing 2 comedies, 1 musical, and 5 action films. Each movie has 3 matinee showtimes and 7 evening performances. Each type of movie and showtime is equally likely to be chosen. If 12,400 people see a movie, how many will be expected to choose a musical during an evening showtime? A 1,085 C 1,240 B 1,189 D 1,550
Answer: 1550
Step-by-step explanation:
Number of people to see the movie = 12400
Number of comedies = 2
Number of musical = 1
Number of action films = 5
The number of people that'll be be expected to choose a musical during an evening showtime will be:
= 1/8 × 12400
= 1550
Use the distributivity of multiplication of rational numbers over addition to simplify. 2/7 * (7/16 +21/4)
Answer:
13/8
Step-by-step explanation:
2/7 × (7/16 + 21/4)
2/7 × 7 + 84/16
2/7× 91/16
13/8
find the difference. a. 41-275 b. -15-47 c.-72-(-151) d. 612-(-144)
Answer:
a) 41-275= -234
b) -15-47=-62
c) -72-(-151)=79
d) 612-(-144)=756
6 + 3(x + 4)
PLEASE HELP!!!! I will give brainliest
3x+18
Step-by-step explanation:
Answer:
3x+18
Step-by-step explanation:
Is the answer
answer
Which is an equation of a direct proportion?
A. =1/3−2
B. =3/
C. =−3+4
D. =−3
Answer:
D. y=-3x
Step-by-step explanation:
Direct Proportion
A direct proportion is a relation between variables where their ratio is a constant value. This means that if y and x are proportional, then:
[tex]\displaystyle \frac{y}{x}=k[/tex]
Where k is the constant of proportionality.
Solving for y:
y=kx
The only choice representing a direct proportion is:
D. y=-3x
Answer:
D
Step-by-step explanation:
I'm looking for people with common interests.. who watches anime reads yaoi and writes fanfiction???
Dont answer if your not into these.
I watch anime and write fanfiction :). I have to pass my finals for math and english before I become ungrounded cause I have D's in those two subjects but other than that yeah hi :)
Answer:
I love similar things.
Step-by-step explanation:
Sometimes enjoy drawing anime and drawing period. I also really enjoy writing novels/fanfictions. Maybe not as much as I love reading them, though.
I hope this is what you're looking for! :D
Which expression is equal to
3√20 x 4√32
[tex]{ \qquad\qquad\huge\underline{{\sf Answer}}} [/tex]
Lets simplify ~
[tex]\qquad \sf \dashrightarrow \: 3 \sqrt{20} \times 4 \sqrt{32} [/tex]
[tex]\qquad \sf \dashrightarrow \: 12 \sqrt{20 \times 32} [/tex]
[tex]\qquad \sf \dashrightarrow \: 12 \sqrt{2 {}^{2} \times 5 \times 2 {}^{4} \times 2 } [/tex]
[tex]\qquad \sf \dashrightarrow \: 12 \sqrt{2 {}^{6} \times 10} [/tex]
[tex]\qquad \sf \dashrightarrow \: 12 \times {2}^{3} \sqrt{10} [/tex]
[tex]\qquad \sf \dashrightarrow \: 12 \times 8 \sqrt{10} [/tex]
[tex]\qquad \sf \dashrightarrow \: 96 \sqrt{10} [/tex]
- The formula for the area of a trapezoid is.... solve for b2
Answer:
The formula for the area A of a trapezoid is A = 1/2 h(b1 + b2), where h is the height and b1 and b2 are the lengths of the two bases.
Step-by-step explanation:
quick question my friend needed this
The composition between the functions f(x) = x and g(x) = 2 is equal to (f ° g) (x) = 2. (Correct choice: B)
What is the result of a composition between two functions?
The composition is a binary operator between two functions, in which the input of the first function is substituted by the second function. This operation is defined by the following expression:
(f ° g) (x) = f[g(x)]
If we know that f(x) = x and g(x) = 2, then the composition between the two functions is:
(f ° g) (x) = 2
Then, the composition between the functions f(x) = x and g(x) = 2 is equal to (f ° g) (x) = 2. (Correct choice: B)
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Honestly, it's pretty simple tell me if I am right or wrong and also solve number 14
Answer:
true your correct
Step-by-step explanation:
Answer:
yes you are correct.
Step-by-step explanation:
A trader bought aTV set for Birr 2000 and sold it at loss of 5 1/2%. what was the selling price?
Answer: birr 1780.
Solution:
The cost price of the T.V. set = birr 2000
The loss percentage = 5 1/2%
The formula of the selling price is: Selling Price = (100 - Loss%)/100 × Cost Price
Now,
By using the above formula and by substituting the given values of C.P. and Loss%, we get
Selling Price = (100 - 11)/100 × 2000
Selling Price = 89/100 × 2000
Selling Price = 89 × 20
Selling Price = 1780
Thus, the selling price of the T.V. set was → birr Given:
A trader bought a TV set for birr 2000 and sold it at a loss of 11%
To find:
What was the selling price?
Solution:
The cost price of the T.V. set = birr 2000
The loss percentage = 11%
We know the formula of the selling price is:
Now,
By using the above formula and by substituting the given values of C.P. and Loss%, we get
Thus, the selling price of the T.V. set was → birr 1780.
Which of the following does NOT describe a parent function of a family of functions?
A. The parent function is the function with a graph that is different than all the other functions in the family.
B. The graphs of the functions in the family all have the same general shape as the parent function
C. The parent function is the simplest function that still satisfies the criteria to be in the family of functions
D. All of the functions in the family can be derived algebraically from the parent function by adding or subtracting terms or by multiplying by a constant
Answer:
A. The parent function is the function with a graph that is different than all the other functions in the family.
Step-by-step explanation:
A parent function is simply a function that represents the simplest form of a family of functions.
Now, a family of functions is defined as a group of functions that share the same highest degree and therefore the same shape for their graphs.
Looking at the options, the only one that doesn't correspond to the definition of parent function with respect to family of functions is option A because it suggests that the parent function is different from the family functions. Thus, option A doesn't describe a parent function.
If 45% of a number is 99 and 35% of the same number is 77, find 80% of that number.
Answer:
176 = 80% Extra: If you need 100% its, 220
Step-by-step explanation:
99+ 77 is 176
45% + 35% = 80%
What is −2y + 10 + 2y − 8 simplified?
Please help-
Answer:
2
Step-by-step explanation:
hope this helps, pls mark brainliest :D
Answer:
2 is the answer ☺️ the correct one
is this correct? please help !!!!!
From what I can see it looks fine and correct
25 POINTS!! Help will give the brainliest
Answer:
value of a in terms of b and c is: [tex]\mathbf{a=bc}[/tex]
Option D is correct.
Step-by-step explanation:
We are given:
[tex]a=b^2c^2d \:and\: d=\frac{1}{a}[/tex]
We need to find a in terms of b and c
We have: [tex]a=b^2c^2d[/tex]
Put value of d [tex]d=\frac{1}{a}[/tex]
[tex]a=b^2c^2(\frac{1}{a})\\a^2=b^2c^2\\Taking \:squareroot\:on\:both\:sides\\\sqrt{a^2}=\sqrt{b^2c^2}\\a=bc[/tex]
So, value of a in terms of b and c is: [tex]\mathbf{a=bc}[/tex]
Option D is correct.
(picture included) brainliest
Answer:
A.
Step-by-step explanation:
subtract two y points and the corresponding x points
so if you choose to subtract 20 and 15, you get 5
then you would subtract 4 and 2, you would get 2
put them in y/x fraction: 5/2
this simplifies to 2 1/2
whats the domain for the pairs below?
Answer:
-6
Step-by-step explanation:
when y is -1 the corresponding x value is -6
pls solve this question step by step
Solution is in the above attachment.....
What is the solution to the open sentence?
4x – 4 = 2x + 2
Answer:
x =3
Step-by-step explanation:
4x – 4 = 2x + 2
Solving for x
Subtract 2x from each side
4x-2x – 4 = 2x-2x + 2
2x-4 = 2
Add 4 to each side
2x-4+4 = 2+4
2x = 6
Divide each side by 2
2x/2 = 6/2
x =3
Help ME PLEASE!!!!!
Answer:
B
Step-by-step explanation:
I checked it and it’s right hope this helps!
The coach for a basketball team wants to try I buy new shoes for her 12 players.
The same shoes are available on double dribble’s web site for $57.75. A 9% processing fee will be applied to the cost of the shoes, plus a shipping fee of $5.99 for each pair.
What is the difference in the total costs of the 12 pairs of shoes between the two sites?
The difference in the total costs of the 12 pairs of shoes between the two sites is $46.77,
How to find the cost difference and total cost?Total cost is the sum up cost for all the individual process. we can find it by adding the cost for each steps.
In the given ques,
Super Sports is offering a 20% discount.
and shoes were originally priced at $72.50 and that a 6.5% sales tax will be applied.
On Double Dribbles, the same shoes were on for $54.75, and a 9% is added and has an extra $5.99 for shipping.
i.e. we have to find the difference in the total costs..
Now we have to multiply 12 by 72.50. The answer to that is 870. Next, we need to multiply 8 by 870 and divide it by 10. The answer to that is 696. Then, we need to add the price and the tax. The price will be 100%, and the tax will be 6.5%. 100 + 6.5 = 106.5. After that, we need to 106.5 by 100. The answer it that is 1.065. Now do times 1.065 by 696. And the answer to that is $741.24.
Do the same for other store. The answer to it is 788.01.
Thus, making Super Sports a better deal.
As, we need to find the difference. So, 788.01 - 741.24 = $46.77.
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The complete question is :
The coach for a basketball team wants to buy new shoes for her 12 players.
Super Sports is offering a 20% discount on each pair of shoes, which were originally priced $72.50. A 6.5% sales tax will be applied to the discounted price.
The same shoes are also available on Double Dribble's website for $54.75. A 9% processing fee will be applied to the cost of the shoes, plus a shipping fee of $5.99 for each pair.
What is the difference in the total costs of the 12 pairs of shoes between the two stores?