Gabriella asked 555 of her hundreds of coworkers how much storage space they were currently using on their computer. Here are their responses (in gigabytes): 4, 8, 8, 9, 114,8,8,9,114, comma, 8, comma, 8, comma, 9, comma, 11 The mean of these amounts is \bar x=8 x ˉ =8x, with, \bar, on top, equals, 8 gigabytes. What is the standard deviation? Round your answer to two decimal places. s_x\approxs x ≈s, start subscript, x, end subscript, approximately equals gigabytes
Answers
Answer:
The standard deviation of the sample is 2.55 gigabytes
Step-by-step explanation:
Here we have the responses as follows;
Storage space usage on their computer [tex]x_i[/tex]
The number of respondents or sample size, n = 5
[tex]x_i[/tex] [tex](x_i - \bar x)[/tex] [tex](x_i - \bar x)^{2}[/tex]
4 -4 16
8 0 0
8 0 0
9 1 1
11 3 9
∑ 40 26
The sum = ∑X = 4 + 8 + 8 + 9 + 11 = 40
The mean = (The sum)/(The count) = 40/5 = 8
Formula for population standard deviation is;
[tex]\sigma = \sqrt{\frac{\Sigma (x_i - \mu)^2}{n } }[/tex]
Where:
σ = Population standard deviation
μ = Population mean
Since we are dealing with only 5 out of her hundreds of coworkers we are dealing with a sample therefore;
The formula for sample standard deviation is;
[tex]s = \sqrt{\frac{\Sigma (x_i - \bar x)^2}{n - 1} }[/tex]
Where:
s = Sample standard deviation
n = Sample size
[tex]x_i[/tex] = Each value of the sample
[tex]\bar x[/tex] = Sample mean
We find each value of [tex](x_i - \bar x)[/tex] by subtracting the x values from the mean, 8, as in the table above, next we find [tex](x_i - \bar x)^{2}[/tex] by squaring the [tex](x_i - \bar x)[/tex].
Next, we find the sum of the differences from the mean square values from the table after which we divide by n - 1, to get [tex]{\frac{\Sigma (x_i - \bar x)^2}{n - 1} } = \frac{26}{5 - 1} = \frac{26}{4} = 6.5[/tex]
We find the root of the result which gives us the standard deviation hence
√6.5 = 2.5495.
Standard deviation, s = 2.5495 ≈ 2.55 to two significant places of decimal.
After making a table for summation the standard deviation of the sample is 2.55 gigabytes.
Use the formula for population standard deviation is:
[tex]\sqrt{\dfrac{\sum{(x_i - \mu)^2}}{n}[/tex]
Where:
σ = Population standard deviation
μ = Population mean
The formula for sample standard deviation is;
[tex]\sqrt{\dfrac{\sum{(x_i - X)^2}}{n-1}[/tex]
Where:
s = Sample standard deviation
n = Sample size
[tex]x_i[/tex] = Each value of the sample
X = Sample mean
Since we are dealing with only 5 out of her hundreds of coworkers we are dealing with a sample, therefore;
The storage used is represented by [tex]x_i[/tex]
The number of respondents or sample size represented by n
Then n = 5
The table for summation is attached below.
Find the sum of the differences from the mean square values from the table after which we divide by n - 1,
[tex]\dfrac{\sum{(x_i - X)^2}}{n-1} = \dfrac{26}{5-1}\\\\\dfrac{\sum{(x_i - X)^2}}{n-1} =6.5[/tex]
Find the root of the result which gives us the standard deviation hence
√6.5 = 2.5495.
Hence,
Standard deviation,
s ≈ 2.55 about two significant places of decimal.
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Step-by-step explanation:
Answer:
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Answer:
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Answer:
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Step-by-step explanation:
Answer:
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Step-by-step explanation: I GOT IT RIGHT BOIIIII
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Answer:
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Step-by-step explanation:
Hope this helps.
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Answer:
B
Step-by-step explanation:
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Answer:
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Distribute the 2 and 4:
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Answer:
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Step-by-step explanation:
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0
Almonds
(grams)
Chocolate
(grams)
+
+
0
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Answer:
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Step-by-step explanation:
Answer:
Choice B
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Step-by-step explanation:
What I did was I kept multiplying by 2.
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Step-by-step explanation:
Answer:
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148.35
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A regular octagon has side lengths of 9 units. Each side of the octagon is
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and new octagon?
Answers
Answer:
The perimeter of the original octagon is:
72 units.The perimeter of the new octagon is:
288 units.Step-by-step explanation:
When it is mentioned that an octagon is regular, it means that all its sides are equal, therefore, each side of the original octagon has a length of 9 units, considering the formula of the octagon's perimeter:
Perimeter of an octagon = 8 * length.By replacing you get:
Perimeter of the original octagon = 8 * 9 = 72 units.For the new octagon, it is mentioned that each side increases by 27 units, therefore:
New length = 27 + 9 = 36 units.Applying the formula of perimeter of an octagon with the new values we obtain:
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The perimeter of the original octagon is 72 units, while the perimeter of the new octagon is 288 units.
Explanation:
An octagon is a polygon with eight sides. Since each side of the regular octagon has a length of 9 units, the perimeter of the original octagon is 8 times the length of one side, which is 8 x 9 units = 72 units.
When each side of the octagon is increased by 27 units, the new length of each side becomes 9 + 27 units = 36 units. Therefore, the perimeter of the new octagon is 8 times the length of one side, which is 8 x 36 units = 288 units.
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Answers
Answer: the first one is 1.1 and the last one is 1.142
Step-by-step explanation: i just answered the question :))
Answer:
1.1 and 1.142
Step-by-step explanation:
get it right on edge
WILL MARK BRAINLIST thank you
Answers
Answer:
f(x) = [tex]3^x[/tex]
Step-by-step explanation:
This doesn't really look like a linear model, so it might be exponential.
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27 = a[tex]b^3[/tex] ⇒ a = 27/b³
Set these equal:
9/b² = 27/b³
9b = 27
b = 3
Plug this in to find a:
a = 9/b² = 9/9 = 1
The equation is:
f(x) = [tex]3^x[/tex]
Answer:
Y = 3^X
Step-by-step explanation:
this is an exponential function
Y = a(b^X)
9 = ab²
27 = ab³
b = 3
9 = a(3)²
a = 1
Each car in a rental fleet is either red or white, and there are 75 cars total. There are three more white than twice the number of red cars. How many cars are white? A) 24 B) 47 C) 48 D) 51
Answers
Answer:
D.51
Step-by-step explanation:
I saw this question was already asked and answered so i just gave the answer but if you want the explanation just search your question.
Hello everybody! If anybody could help me out that would be amazing!
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Answer:
-132, -560, -210
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On a trip, you had to change your money from dollars to British pounds.
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What is the radius and diameter of the following circle
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Answer:
Radius: 16cm
Diameter: 32cm
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Answer:
Radius=16 cm Diameter=32 cm (let me know if it is for some reason incorrect)
Step-by-step explanation:
Diameter (just multiply the radius by 2)=32 cm
Radius (the length from the perimeter to the center)=16 cm
a dog searching for a bone walks 3.5 m southeast, then 8.2 m at an angle 30 degrees north of east. Find the magnitude of the dog's resultant vector
Answers
The dog's resultant displacement vector, representing the total distance covered in the specified direction, is approximately 9.74 meters. This was calculated by breaking down each of the dog's movements into their Cartesian components, adding these components separately, and finally applying the Pythagorean theorem to find the magnitude of the resultant vector.
Explanation:To solve this problem, we first need to calculate each displacement in the rectangular (or Cartesian) coordinate system. Let's express each move of the dog as a vector.
First, the dog walks 3.5 m southeast. In the Cartesian coordinate system, this would be represented as two components: x (horizontal) and y (vertical). The x-component is 3.5*cos(45°) = 2.475 m and the y component is -3.5*sin(45°) = -2.475 m (negative because direction is south).
Second, the dog walks 8.2 m at an angle 30 degrees north of east. That gives us an x-component of 8.2*cos(30°) = 7.1 m and a y-component of 8.2*sin(30°) = 4.1 m.
Now add up separate x- and y-components: Our cumulative x-component is 2.475 m + 7.1 m = 9.575 m. The cumulative y-component is -2.475 m + 4.1 m = 1.625 m.
The resultant vector's magnitude can be determined with the Pythagorean theorem a² + b² = c² (where 'a' and 'b' are the legs and 'c' is the resultant vector). In this case: (9.575 m)² + (1.625 m)² = c². Solve for c to get
[tex]c = \sqrt{(9.575 \, \text{m})^2 + (1.625 \, \text{m})^2} = 9.74 \, \text{m}.[/tex]
In conclusion, the magnitude of the dog's resultant vector is approximately 9.74 m.
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A laundry basket has 24 T-shirts In it 4 are navy 12 are red and the remaining or white what is the probability of randomly selecting a red shirt
Answers
The probability of randomly selecting a red shirt from a basket of 24 T-shirts, where 12 are red, is 1/2 or 50%.
Explanation:The probability of randomly selecting a red shirt from the laundry basket can be calculated by dividing the number of red shirts by the total number of shirts in the basket. Given there are 24 T-shirts in total and 12 are red, the probability P(red) is 12 divided by 24, which can be simplified.
Here is the calculation:
Total number of T-shirts: 24Number of red T-shirts: 12Probability of selecting a red T-shirt: P(red) = Number of red T-shirts / Total number of T-shirts = 12 / 24After simplifying, P(red) = 1/2 or 50%.
Using the figure on the left, what is the measure of ∠ZWY and ∠ZYW? 60° + c° + 90° = 180° c = ? c° + d° + 90° = 180° d = ?
Answers
Answer
the first one is 30 and the second one is 60
Step-by-step explanation:
Answer:
the first one is 30 and the second one is 60
Step-by-step explanation:
HELP ME WITH THIS MATH PROBLEM !!!
Answers
Answer: C. (25,10)
Step-by-step explanation:
Answer:
I believe its A. I'm not so sure thought so if its a test don't put it unless you are sure.
Step-by-step explanation: