The standard deviation is provided by this. = 6.7528
What role does standard deviation play?Because it aids in comprehending measurements whenever the data is distributed, the standard deviation is significant. The standard deviation of the data will be higher the more evenly distributed the data is.
According to the given data:sample data = ( 32, 41, 36, 24, 29, 30, 40, 22, 25, 37)
To find mean of the given data:
Mean = Sum of items/ Count items
Mean = (32 + 41 + 36 + 24 + 29 + 30 + 40 + 22 + 25 + 37 / 10)
= 31.6
now finding the variance:
First we Add All the sample:
32 + 41 + 36 + 24 + 29 + 30 + 40 + 22 + 25 + 37 = 316
make Square of the solution:
316*316 =99856
and multiply by how many items there are. We have 10 items.
=99856/10
= 9985.6
For the time being, put this number aside.
Take your original set of numbers from Step 1 and square each one this time on its own.
32² + 41² + 36² + 24² + 29² + 30² + 40² + 22² + 25² + 37² = 10396
Subtract the sum from Step 2 from of the sum from Step 3.
10396 - 9985.6 = 410.4
The items in someone data set is reduced by 1 by.10 - 1 = 9
Divide the result of Step 4 even by result of Step 5. You get the variation from this.
410.4 / 9 = 45.6
Your response from Step 6 should be squared. The standard deviation is provided by this.
6.7528
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I understand that the question you are looming for is:
For the following sample data, compute the variance and the standard deviation. 32, 41, 36, 24, 29, 30, 40, 22, 25, 37
find the product of 12 0.6 and 6 1/4
Answer:
17 because you have to sutract them
Step-by-step explanation:
________ is a statistical measure of how much scores in a sample vary around the mean. multiple choice normal distribution standard deviation frequency accuracy
Standard deviation is a statistical measure of how much scores in a sample vary around the mean. The correct option is B.
What is the standard deviation?The standard deviation is a statistic that expresses how much variance or dispersion there is in a group of numbers. While a high standard deviation suggests that the values are dispersed throughout a wider range, a low standard deviation suggests that the values tend to be close to the established mean.
Therefore, the standard deviation is a statistical measure of how much scores in a sample vary around the mean. The correct option is B.
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What is the gradient of a line perpendicular to a line with a gradient of 1/6 ?
Answer:
-6
Step-by-step explanation:
m1 × m2 = -1
(1/6) × m2 = -1
m2 = -6
whats the set of all prime numbers
Answer:
Step-by-step explanation:
prime numbers are numbers that are divisible by 1 and itself such as 2,3,5,7,11
there are also types of prime numbers which i recommend reading: https://en.wikipedia.org/wiki/Category:Classes_of_prime_numbers
My number is less than 50. - it is a factor of 70. - it is a multiple of 5 and 7. what is minnu's number? a. 5 b. 35 c. 14 d. 70
Answer:
B) 35
Step-by-step explanation:
35 is less than 50 and it's a factor of 70, a multiple of 5 and 7 is 35 just by multiplying the numbers it will give you that answer.
Is the equation always, sometimes, or never true?
Answer:
never
Step-by-step explanation:
-1=0 is not possible
Which statement correctly explains how Mari could find the solution to the following system of linear equations using elimination?
Multiply the first equation by 7 and the second equation by 2, and then add.
Multiply the first equation by 3 and the second equation by 5, and then subtract.
Multiply the first equation by –7 and the second equation by 2, and then add.
Multiply the first equation by –3 and the second equation by -5, and then subtract.
Multiply the first equation by 7 and the second equation by 2, and then add.
2f - 5g=-9
-7f + 3g=4
To eliminate any variable , we need to make the coefficients same with different sign and add it
the coefficient of 'f' in first equation is 2
the coefficient of 'f' in second equation is -7
We already have different sign so we make the coefficients same
To make the coefficient same , we multiply the first equation by 7 and second equation by 2
So equation becomes
14f - 35g = -63
-14f + 6g = 8
Now when we add both equations, 'f' gets cancelled
-29g = -55
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Answer:
A
Step-by-step explanation:
Edge2022
Simplify 150\sqrt{150}
150
The required solution of the given expression is 12.247.
What is expression?An expression is a set of terms combined using the operations +, – , x or ÷. An expression is a number, a variable, or a combination of numbers and variables and operation symbols. An expression is in simplest form when no terms can be combined.
Given:
The given expression is
[tex]\frac{150}{\sqrt{150} } \\[/tex]
Simply or simplification is reducing the expression/fraction/problem in a simpler form. A fraction is in simplest form if the top and bottom have no common factors other than 1.
The process of making something less complicated and therefore easier to do or understand, or the thing that results from this process.
According to given question we have
[tex]\frac{150}{\sqrt{150} } \\[/tex]
We know that the square root of 150 is 12.247.
By putting the value we have
150/12.247
= 12.247.
Therefore, the required solution of the given expression is 12.247.
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can someone solve this please, thank you
Answer:
110
Step-by-step explanation:
13x - 20 + 7x = 180
20x -20 = 180
20x = 200
x = 10
13(10) - 20
=110
2.2 question 7) Which lines are perpendicular? The_____ lines are perpendicular (blue and green) How do you know? The product of their slopes is....
Which kind of symmetry does the letter D have?
Answer:
D has a horizontal symmetry.
find the length of a diagonal of a rectangular room of length 5 m, width 3 m and height 2.5 m
Answer:
What you are looking for is the length of the 'solid diagonal'. First we need to find the length of the base diagonal. That can be done easily using Pythagorean theorem. 52+32−−−−−−√=6. Now this diagonal is a leg of the bigger right triangle whose hypotenuse is the required solid diagonal. You can see this from amd's picture. So apply Pythagorean theorem again. 62+(2.5)2−−−−−−−−−√=37.25−−−−√. You can work that out with a calculator.
In general for a cuboid with dimensions a, b and c(order doesn't matter), the solid diagonal is: a2+b2+c2−−−−−−−−−−√
Step-by-step explanation:
Answer:
√62+(2.5)2=√37.25.
Step-by-step explanation:
What you are looking for is the length of the 'solid diagonal'. First we need to find the length of the base diagonal. That can be done easily using Pythagorean theorem.  52+32=6" role="presentation" style="margin: 0px; padding: 0px; border: 0px; font-style: normal; font-variant: inherit; font-weight: normal; font-stretch: inherit; line-height: normal; font-family: inherit; font-size: 15px; vertical-align: baseline; box-sizing: inherit; display: inline; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; position: relative;"> 52+32−−−−−−√=6 52+32=6. Now
How much money did billy start with if he saves 19 dollars in 5 days?
Open the cpt manual to the page that contains code 40490. what section of the cpt coding manual is this code listed in?
The section of the CPT coding manual is the code 40490 is listed in is "digestive system."
What is CPT codes?CPT is the language used by providers and payers when billing medical procedures and services for reimbursement.
Some key features regarding the CPT codes are-
CPT or Current Procedural Terminology, is a set of medical codes used to describe the procedures and services performed by physicians, allied health care professionals, provided by trained practitioners, healthcare facilities, outpatient facilities, and laboratories.CPT codes, in particular, are used to notify services and procedures to both federal and private payers for repayment of rendered healthcare services.CPT codes were developed by the American Medical Association (AMA) in 1966 to standardize reporting of medical, surgery, and diagnosis and treatment procedures and services performed in both inpatient and outpatient settings. Each CPT system defines a written description of a process or service, removing the need for the patient's subjective interpretation of what was provided.To know more about the CPT codes, here
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Can someone please solve it ?
Answer:
A. because all of the numerators are larger than the denominators, there will be a product left over.
Step-by-step explanation:
Kehlani invests money in an account paying simple interest. No money is added or removed from the investment. To find the balance after a year, she multiplies her current balance by 1.072. What percent simple interest does the account earn per year?
The percent of simple interest that the account has will be 7.2%.
How to calculate the rate?From the information, Kehlani invests money in an account paying simple interest. No money is added or removed from the investment. To find the balance after a year, she multiplies her current balance by 1.072.
The percent of simple interest that the account has will be:
= 1.072 - 1
= 0.072
= 7.2%
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please help! i can’t figure this out I’ve somebody help QUICKKKK !!!!
Answer: A
Step-by-step explanation:
HELP ME QUICK PLEASE!!
Manny took home a couple of his friends after soccer practice. He originally had 4 gallons of gas in his car. He used 1.05 gallons of gas to take one friend home and three tenths gallon to take the other friend home. How much gas did he have left in his car after taking both friends home?
A: 1.04 gallons
B: 2.95 gallons
C: 3.70 gallons
D: 2.65 gallons
D) 2.65 gallons of gas left in his car after taking both friends home when 1.05 gallons of gas is used to take one friend home and three tenths gallon to take the other friend home.
Manny used 1.05 + 0.3 = 1.35 gallons of gas to take his friends home.
Since he originally had 4 gallons of gas, he had 4 - 1.35 = 2.65 gallons of gas left in his car after taking both friends home.
So the answer is D.
Here is the solution in more detail:
Manny started with 4 gallons of gas.
He used 1.05 gallons of gas to take one friend home.
He used 0.3 gallons of gas to take the other friend home.
The total amount of gas he used was 1.05 + 0.3 = 1.35 gallons.
Therefore, he had 4 - 1.35 = 2.65 gallons of gas left in his car.
I hope this helps! Let me know if you have any other questions.
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Use the graph to determine
A) The function’s domain
B) The function’s range
C) The X-intercepts
D) Y-intercepts
E) The missing function values indicated by question marks below
Answer:its C
Step-by-step explanation:
they x will intercept when you do it right
PLEASE HELP ASAPPP !! WILL GIVE BRAINLIEST AND 5 STAR RATINGGG
Answer:
37/30
Step-by-step explanation:
Find the equation of the given table in slope intercept form. The answer must be in y=mx+b format! Please show work asap!!
Answer: y = 6.75x + 6
Step-by-step explanation:
Answer:
y=6.75x+6
Step-by-step explanation:
y=mx+b
we can find it by doing [tex]\frac{y^{2}-y^{1} }{x^{2} -x^{1} }[/tex]
I'm going to choose 2,19.5 and 5,39.75
[tex]\frac{39.75-19.5}{5-2}[/tex] we get [tex]\frac{20.25}{3}[/tex] simplified to 6.75
now we know that the slope is 6.75 we can find the y-intercept by plugging in one pair, I'm going to put the 2,19.5 in
19.5=(6.75)2+b then multiply 6.75 by 2
19.5=13.5+b then subtract 13.5 from both sides to remove the 13.5 on B to separate it
6=b so the y-intercept is 6
20% in fraction form
20/100
That is the answer if u want it simplified it is 1/5
Answer:
20/100 simplified is 1/5
Step-by-step explanation:
it is the fraction form
How is adding and subtracting
decimals similar to and different from adding
and subtracting whole numbers?
Answer:
adding decimals is different then subtracting because adding would be bigger subtracting means smaller
each problem, create a table
Write an equation, in slope-intercept form, to model each situation.
1. You rent a bicycle for $20 plus $2 per hour.
Y=2x120
Answer:
You have a fixed cost ($20) and a variable cost ($2*number of hours you rent the bike)
Cost = Variable Cost + Fixed Cost
Let y = your Cost and x = the number of hours you rent the bike. The fixed cost is $20.
y = ($2 per hour)*(x hours) + $20
y = 2x + 20
HELP ME DO THESE PROBLEMS PLS THANK YOU
Answer:
6. 7
7. 32
8. -17
9. -24
10. 6 ft
Step-by-step explanation:
6: 2(3) +1
6+1=7
7: 16-4(-4)
16+16=32
8: 12(-2)+7
-24+7=-17
9: -9-3(5)
-9-15=-24
10: 24-3(6)
24-18=6
Evaluate the given function as required. (round your answer to two decimal places.) f(x) = x 6 x2 1 at x = 5 f(5) =
The value of the function for f(5) is 15,651.
The given function is [tex]f(x)=x^{6}+x^{2} +1[/tex].
We need to find the value of f(5).
What is the function?Functions are the fundamental part of calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x. Mapping or transformation is used to denote a function in math.
Now, put x=5 in the function [tex]f(x)=x^{6}+x^{2} +1[/tex] and simplify.
That is, f(5)=[tex]5^{6} +5^{2} +1[/tex]
=15,625+25+1
=15,651
Therefore, the value of the function for f(5) is 15,651.
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Calculate the acceleration of a 40 kg crate of softball gear when pulled sideways with a net force of 200 n
Answer:
5 m/s²
Step-by-step explanation:
To find the acceleration we apply Newton's second law of motion
F = ma where F is the net force in Newtons, m the mass of the object (kg) and a the acceleration in meters/second² (m/s²)
Given
F = 200 N
m = 40 kg
we have 200 = 40a
So a = 200/40=5 m/s²
M/n=y/x for m what is the answer
Answer:
M = n(y/x)
Step-by-step explanation:
M/n = y/x
Multiply both sides by N to cancel it out.
M = n(y/x)
a building in a city has a rectangular base. the length of the base measures 65ft less than three times the width. the perimeter of this base is 910ft. what are the dimensions of the base?
The dimension of the base of the rectangular building is 340 x 135ft.
Perimeter of Rectangle:
The definition of perimeter of the rectangle is the total length or distance of its boundary on all sides.
The general formula to calculate the Perimeter of a rectangle is,
P = 2(l + w)
Where,
l represents the length of the rectangle
w represents the width of the rectangle.
Given,
The building in a city has a rectangular base. the length of the base measures 65ft less than three times the width.
The perimeter of this base is 910ft.
Now, we need to find the dimensions of the rectangular base.
According to the given details, the values of
L = 3W - 65
W = W
P = 910
Apply the values on the formula, then we get,
=> 910 = 2 * (L + W)
=> 910/2 = (L + W)
=> 455 = L + W
Apply the value of L,
=> 475 = 3W - 65 + W
=> 475 + 65 = 4W
=> 540 = 4W
=> 540/4 = W
=> W = 135
Apply the value of W as 135, in order to get the value of L,
=> L = 3*135 - 65
=> L = 405
=> L = 340
Therefore, the dimension of the rectangular base is 340 x 135 ft.
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what is 11 9/8 as a mixed number in the simplest form
Answer:
97/8
Step-by-step explanation:
first we multiply 11 x 8 to get 88
then we add the numerator (number on top,9) so we add 88+9 to get 97
now we can write our answer
97/8
it cannot be simplified any more than this.
i hope this helped and if you have any questions just ask!