For the data set 7,5,10,11,12, the mean,x,is 9. What is the standard deviation

Answers

Answer 1

Answer:

It is 2.91547 You could round if you want.

Step-by-step explanation:

Answer 2

Answer: 2.61

Step-by-step explanation:

Given data (x) :  7,5,10,11,12

Mean of the data : [tex]\overline{x}=9[/tex]

Number of data values : n= 5

Now, [tex]\sum (x-\overline{x})^2=(7-9)^2+(5-9)^2+(10-9)^2+(11-9)^2+(12-9)^2[/tex]

i.e. [tex]\sum (x-\overline{x})^2=34[/tex]

Now, the standard deviation for this data is given by :-

[tex]\sigma=\sqrt{\dfrac{\sum  (x-\overline{x})^2}{n}}\\\\\sigma=\sqrt{\dfrac{34}{5}}=2.60768096208\approx2.61[/tex]


Related Questions

The span of the Benjamin Franklin suspension bridge in Philadelphia, Pennsylvania, is 1750 feet. A model of the bridge has a span of 42 inches. What is the scale factor of the model to the span of the actual Benjamin Franklin Bridge?

Answers

I think the ratio is 3:125

Answer:

1746.5

Step-by-step explanation:

The average man takes 7192 steps a day about how many steps does the average man take in a year

Answers

Answer:

2625080

Step-by-step explanation:

The average man takes about 2,625,080 steps in a year, assuming 365 days in a non-leap year.  

As we know:

No. of days in a year =  365 days ( non-leap year)

Given:

No. of steps the average man takes = 7192 steps in a day

So, in a year he will take:

7192 steps/day × 365 days/year

= 2,625,080 steps/year

So, the average man takes about 2,625,080 steps in a year.

Note: This calculation assumes a non-leap year with 365 days.

solve by factoring:
5t=t ^2

Answers

Answer:

t=0 and t=5

Step-by-step explanation:

5t = t^2

Subtract 5t from each side

5t-5t = t^2 -5t

0= t^2 -5t

Factor out a t

0= t(t-5)

Using the zero product property

t=0  and t-5 =0

t=0  and  t-5+5=0+5

t=0 and t=5

Joe and mike both ran the same race. Joe finish the race 4 minutes before mike. If mike finish the race at 4:02pm what time did joe finish the race

Answers

joe finished 3:58 pm

Joe finished the race at 3:58 PM, 4 minutes before Mike, who finished at 4:02 PM. Subtract 4 minutes from 4:02 PM to get Joe's finish time. The result is 3:58 PM.

Joe and Mike both participated in the same race, but Joe finished 4 minutes earlier than Mike. We know that Mike finished the race at 4:02 PM. To determine Joe's finish time, we need to subtract 4 minutes from 4:02 PM.

Here are the steps:

Start with Mike's finish time: 4:02 PM.Subtract 4 minutes from 4:02 PM: 4:02 PM - 4 minutes = 3:58 PM.

Therefore, Joe finished the race at 3:58 PM.

In the diagram below, what is the approximate length of the minor arc DE

Answers

Answer:

C. 6.3cm

Step-by-step explanation:

The length of the arc is calculated using the formula;

[tex]l=\frac{Central\:angle}{360\degree} \times 2\pi r[/tex]

The radius of the circle is r=10cm

The central angle is 36 degrees.

[tex]l=\frac{36\degree}{360\degree} \times 2\times3.14\times10[/tex]

We simplify to get;

[tex]l=\frac{1}{10} \times 3.14\times 20[/tex]

[tex]l=3.14\times 2=6.3cm[/tex]

Answer:

6.3 is the correct answer :D

Step-by-step explanation:

how many solutions does -3x+7=3x+7​

Answers

I think it's either 21+4×6-1=9 or 2+6×8-6=7

Answer:

One solution

Step-by-step explanation:

Adding 3x to both sides results in   7 = 6x + 7, or 6x = 0.  There is one solution, and that solution is x = 0.

if g(x)=2(x-4), find the value of x if g(x)=20

Answers

Answer:

32.64

Step-by-step explanation:

Answer:

hello : x = 14

Step-by-step explanation:

g(x)=20

solve this equation :

2(x-4) =20

divid by 2

x - 4  =10

add 4:

x = 14

Find any 3 (x,y) pairs that are solutions for the equation 2x-5y=10 . Show your work

Answers

Answer:

(0,-2), (5,0) and (10,2).

Step-by-step explanation:

Given equation is [tex]2x-5y=10[/tex].

Now we need to find 3 pairs of solutions in (x,y) form for the given equation.

As [tex]2x-5y=10[/tex] is a linear equation so we are free to pick any number for x like x=0, 5, 10

Plug x=0 into [tex]2x-5y=10[/tex], we get:

[tex]2(0)-5y=10[/tex]

[tex]0-5y=10[/tex]

[tex]-5y=10[/tex]

[tex]y=\frac{10}{-5}[/tex]

[tex]y=-2[/tex]

Hence first solution is (0,-2)

We can repeat same process with x=5 and 10 to get the other solutions.

Hence final answer is (0,-2), (5,0) and (10,2).

Hello!

The answers is:

The three points that are solution for the equation are:

[tex](5,0)\\(0,-2)\\(6,0.4)[/tex]

Why?

To find 3 pairs (x,y) or points that are solutions for the equation, we could find where the function intercepts the x-axis and y-axis, we must remember that the domain of a line is all the real numbers, so by using any input, we will find a solution, which means finding a point that belongs to the line.

So,

Finding the axis intercepts of the line, we have:

x-axis intercept:

Making "y" equal to 0, we have:

[tex]2x-5y=10[/tex]

[tex]2x-5*(0)=10[/tex]

[tex]2x=10[/tex]

[tex]x=\frac{10}{2}=5[/tex]

We have that the interception point with the x-axis is (5,0)

y-axis intercept:

Making "x" equal to 0, we have:

[tex]2x-5y=10[/tex]

[tex]2*(0)-5y=10[/tex]

[tex]0-5y=10[/tex]

[tex]5y=-10[/tex]

[tex]y=\frac{-10}{5}=-2[/tex]

We have that the interception point with the y-axis is (0,-2)

As we know, the domain of a line is equal to the real numbers, Now, we have that any between the points (5,0) and (0,-2) will belong to the line, so, let's try with a point wich x-coordinate (input) is equal to 6 and then find the y-coordinate (output) if the point satisfies the equality, it belongs to the equation to the line.

Substituting x equal to 6, we have:

[tex]2*(6)-5y=10[/tex]

[tex]12-5y=10[/tex]

[tex]12-10=5y[/tex]

[tex]y=\frac{12-10}{5}=\frac{2}{5}[/tex]

So, the obtained point is:

[tex](6,\frac{2}{5})[/tex]

or

[tex](6,0.4)[/tex]

Now, let's prove that it belongs to the equation of the line by substituting it into the equation:

[tex]2*(6)-5*\frac{2}{5}=10[/tex]

[tex]12-2=10[/tex]

[tex]10=10[/tex]

We can see that the equality is satisfied, it means that the point belongs to the line.

Hence, the three points that are solutions for the equation are:

[tex](5,0)\\(0,-2)\\(6,0.4)[/tex]

Have a nice day!

The equation h(t)=-16t^2+25t+80 gives the height of a ball in feet T seconds after it is thrown from a platform. What is the initial velocity when the ball is thrown?

Answers

Answer:

25

Step-by-step explanation:

-16t^2+vt+s

v=initial velocity

What value makes this equation true? 4x-3=0?

Answers

Answer:

x = 3/4

Step-by-step explanation:

4x-3=0

Add 3 to each side

4x-3+3 = 0+3

4x = 3

Divide each side by 4

4x/4 = 3/4

x = 3/4

Answer: X = 3/4

Solution:

Move the constant to the right side and change its sign, then divide both sides by four:

4x - 3 = 0 --> 4x = 3 --> (4x/4) = (3/4)

X = 3/4

HELP ASAP
Explain how to create a graph to model the relationship between the 2 quantities in the table.
please write the answer

Answers

Step-by-step explanation:

the x (hours) is the x axis and the d (dollars) is the y axis. On the x axis count by 1's and on the y axis count by 25's. To plot each point go to hour and then dollars.

Answer:

Use the values in the table to create ordered pairs. Label the x-axis with the independent variable, hours. Label the y-axis with the dependent variable, dollars. Plot the ordered pairs on the graph. If the variables can be represented as fractional parts you can draw a line from the origin that connects the points.

Step-by-step explanation:

sample response

What is the remainder of the following division problem?

A) x
B) 1
C) 0
D) -1

Answers

Answer:B

Step-by-step explanation:

We can see here that the remainder of the given division problem is: B) 1

What is division?

Division is an arithmetic operation that involves the splitting or sharing of a quantity into equal parts or groups. It is the inverse operation of multiplication. When we divide one number by another, we are determining how many times the divisor can be subtracted from the dividend.

The division process involves repeatedly subtracting the divisor from the dividend until no more subtractions are possible, or until the remainder is less than the divisor.

We can see here that as we subtract x from x, we have 0 and then we bring the 1 down. The 1 brought down is the remainder.

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Solve the inequality 3(4x+1)<39

Answers

it's x ≤ 3 :))) I found it out after realizing what you were asking

Given the system of linear equations.

-x + y = 5, 4x + y = 10

Answers

Answer:

x = 1 and y = 6

Step-by-step explanation:

[tex]\left\{\begin{array}{ccc}-x+y=5\\4x+y=10&\text{change the signs}\end{array}\right\\\underline{+\left\{\begin{array}{ccc}-x+y=5\\-4x-y=-10\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad-5x=-5\qquad\text{divide both sides by (-5)}\\.\qquad x=1\\\\\text{put the value of x to the first equation}\\-1+y=5\qquad\text{add 1 to both sides}\\y=6[/tex]

Erin discovered a relationship between numbers. The Venn diagram shows how Erin sorted a group of numbers. Using the Venn diagram, where should Erin put the number 49?​

Answers

Answer:

W

Step-by-step explanation:

On the venn diagram, you can see that everything in the W section is a multiple of 7. Everything in the Z section is an even number and everything in Y(the middle section) is both an even number and a multiple of 7. Since 49 is a multiple of 7 but not an even number, it would go in the W section.

The number 49 should be placed in the 'W' portion of the venn diagram

From the venn diagram, we can make the following inference;

W = 7, 21, 35

Y = 14, 28

Both W and Y contains numbers that are multiples of 7

Y contains numbers that are even numbers which are multiples of 7

W contains numbers that are odd and are multiples of 7

The number 49 is also a multiple of 7 and odd.

Hence, 49 would belong to the 'W' portion of the Venn.

work out the area of this quarter circle of radius 8cm, Give you answer in terms of pi

Answers

Answer:

The area of the quarter circle is [tex]16\pi\ cm^{2}[/tex]

Step-by-step explanation:

we know that

The area of a quarter circle is equal to

[tex]A=\frac{1}{4}\pi r^{2}[/tex]

we have

[tex]r=8\ cm[/tex]

substitute the value

[tex]A=\frac{1}{4}\pi (8)^{2}[/tex]

[tex]A=16\pi\ cm^{2}[/tex]

Final answer:

The area of a quarter circle with a radius of 8cm is 16π square cm. This result is obtained by first calculating the area of a full circle using the formula A = πr² and then dividing by 4 (since a quarter circle is one-fourth of a full circle).

Explanation:

The area of a full circle is given by the formula A = πr², where 'r' is the radius of a circle and 'π' is a mathematical constant, approximately 3.14. However, we are dealing with a quarter circle, not a full circle. A quarter circle is simply one-fourth of a full circle. Therefore, you have to divide the area of the full circle by 4 to get the area of the quarter circle.

So here's how you calculate the area of the quarter circle having a radius of 8cm:

First calculate the area of the full circle: A = πr² = π * 8² = 64π square cm. Then calculate the area of the quarter circle: Quarter Circle Area = A/4 = 64π/4 = 16π square cm.

So, the area of the quarter circle with a radius of 8 cm is 16π square cm.

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how do you work out 12÷6×2-2²

Answers

For this case we must use the order of algebraic operations according to the PEMDAS method:

P: Parentesis

E: Exponential

MD: Multiplication and division from left to right

AS: Addition and subtraction from left to right

We have:

12÷6×2-[tex]2 ^ 2[/tex] =

12÷6×2-4 =

2×2-4 =

4-4 =

0

Answer:

0

Answer:

0

Step-by-step explanation:

Lesson: Order of operations

PEMDAS

Parenthesis

Exponent

Multiply

Divide

Add

Subtract

Do exponent first.

12÷6*2-2²

2²=2×2=4

12÷6×2-4

Multiply and divide from left to right.

12÷6×2

12÷6=2

2×2=4

4-4

Subtract from left to right.

4-4=0

0 is the correct answers.

I hope this helps you, and have a wonderful day!

Can someone please help!!? Now!!!

What are the domain and range of f(x) = log(x-1) + 2

domain: x > 1; range: y > 2

domain: x > 1; range: all real numbers

domain: all real numbers; range: y > 1

domain: all real numbers; range: all real numbers

Answers

ANSWER

domain: x > 1; range: all real numbers

EXPLANATION

The given logarithmic function is

[tex]f(x) = log(x - 1) + 2[/tex]

The domain of this function refers to all values of y for which x is defined.

This function is defined argument is greater than 1.

[tex]x - 1 \: > \: 0[/tex]

[tex]x \: > \: 1[/tex]

The range refers to all values of y for which x is defined.

x is defined for all values of y.

The range is all real numbers.

Answer:domain: x > 1; range: all real numbers

Step-by-step explanation:

Edge

A team of runners ran a relay race. Each runner ran 7 1/2 kilometers. The total length of the race was 45 kilometers. Write and solve an equation to find how many runners were on the team. *

Answers

Answer:

6 runners

Step-by-step explanation:

Each runner ran 7.5 km.  If there were n runners, then (7.5 km)n = 45 km.

Solve this for n by dividing 7.5 km into 45 km:

n = 6

There were 6 runners.

What is the solution to the system of equations y = -x - 5 and y = 2x + 4

Answers

Answer:

(-3,-2)

Step-by-step explanation:

y = -x - 5

y = 2x + 4

plug in one of the y equations

(2x+4)= -x - 5

2x+4=-x-5

3x=-9

x= -3

plug in x to one of the y equations

y= -(-3) -5

y=3-5

y= -2

x= -3, y= -2

What is the area of this trapezoid 6m 5m 3m 1m

Answers

The answer depends on which measure is the height and both bases.

Please help I don’t understand I will give BRAINLIEST!!! I have state testing tomorrow and need to know picture included!!!!

Answers

my answer got deleted earlier, and I lost my Brainliest, so can I please get it back?

Answer: 5, 5

Step-by-step explanation: On the first spinner, the number 5 is located in the top-right corner.

On the second spinner, the two number 5s are i the top-right and right areas.

P L E A S E H E L P ! ! !

Translate each verbal sentence/phrase into an algebraic expression or equation.

1. The product of a number x and 6 is 21

2. The sum of the quantity x- 3 and y


3. The quotient of x and z is y


4. The difference of 2 and x is p.

Answers

Answer:

1) 6x = 21

2) x + y - 3

3) x/z = y

4) 2-x = p

Step-by-step explanation:

1. The product of a number x and 6 is 21

A product is a multiplication.  A product of a and b is a * b.

We then have a product of x and 6, that x * 6, which we write usually in the format 6x.

is 21: that means it's equal to 21....

so 6x = 21.

2. The sum of the quantity x- 3 and y  

The sum is an addition.  The sum of a and b is a + b.

In this case, the first part is x - 3, the second part is y

So, x - 3 + y, which we usually rewrite as x + y - 3

3. The quotient of x and z is y

A quotient is a division.

So, quotient of x and z is x/z.

x/z = y

4. The difference of 2 and x is p.

A difference is a subtraction.

Difference of 2 and x is 2 - x

2 - x = p

Final answer:

The verbal sentences/phrases are translated into algebraic expressions or equations as: 1) 6x = 21, 2) (x - 3) + y, 3) y = x/z, and 4) p = 2 - x. Each expression/equation captures a different mathematical relationship, such as product, sum, quotient, and difference.

Explanation:

To translate each verbal sentence/phrase into an algebraic expression or equation, we will take them one at a time:

The product of a number x and 6 is 21: This can be translated into the equation 6x = 21.The sum of the quantity x - 3 and y: The algebraic expression for this is (x - 3) + y.The quotient of x and z is y: This corresponds to the equation x/z = y, or as an expression, y = x/z.The difference of 2 and x is p: This translates to the equation p = 2 - x.

Remember to check your final expressions or equations to ensure they make sense and are simplified where possible.

evaluate the following expression 5(1 3)-3(2 -1)

Answers

The equation 5(1 + 3) - 3(2 - 1) when solved gives the final result 17.

To evaluate the expression 5(1 + 3) - 3(2 - 1), you need to follow the proper order of operations, which consists of parentheses first, then multiplication or division (from left to right), and finally addition or subtraction (also from left to right).

First, simplify the expressions inside the parentheses:

(1 + 3) = 4(2 - 1) = 1

Next, multiply each result by the number outside the parentheses:

5(4) = 203(1) = 3

Now subtract the second result from the first:

20 - 3 = 17

The evaluated expression is 17.

Create a histogram for the data set. Click and drag on the horizontal axis to adjust the heights of the bars. 81, 65, 2, 24, 25, 44, 97, 12, 38, 37

Answers

Create a histogram for the data set. Click and drag on the horizontal axis to adjust the heights of the bars.

81, 65, 2, 24, 25, 44, 97, 12, 38, 37

1-20 mark goes on 2

21-40 marks goes on 4

41-60 mark goes on 1

61-80 mark goes on 1

81 -90 mark goes on 1

The histogram for the data set (2, 12, 24, 25, 37, 38, 44, 65, 81, 97) is given below.

1 - 20 mark goes on 221 - 40 mark goes on 441 - 60 mark goes on 161 - 80 mark goes on 181 - 100 mark goes on 2

What is a histogram data set?

A histogram is a graphical depiction of data distribution in statistics. The histogram is made up of a series of neighboring rectangles, each representing a different type of data.

The horizontal axis adjusts the heights of the bars.

81, 65, 2, 24, 25, 44, 97, 12, 38, 37

Arrange the data set in ascending order.

2, 12, 24, 25, 37, 38, 44, 65, 81, 97

Then the histogram for the data set will be given below.

1 - 20 mark goes on 2

21 - 40 mark goes on 4

41 - 60 mark goes on 1

61 - 80 mark goes on 1

81 - 100 mark goes on 2

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−k+2(−2k−5)
Simplify
Will give brainliest

Answers

Answer:-k+-4k-10; which is -5k-10

Step-by-step explanation:

first distribute.

then add.

done.

By simplifying the expression −k+2(−2k−5) we will get -5k-10

What is simplification?

It means converting the complex expression, equation into a simple one from which it will be easy to calculate the value of variable.

How to simplify an expression?

The given expression is

-k+2(-2k-5)

=-k-4k-10

=-5k-10

Hence the simplified value of the expression is -5k-10

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What is the missing reason in the proof?

Answers

Answer:

Try A or D

Step-by-step explanation:

I did this last semester (I know my age is 32 I didn't know if you had to be over 18 or 21 so I guessed a year and aimed a little to high...) I think it is either A or D

Answer:

Its A (APEX)

Step-by-step explanation:

4. What is the median of this data set?
Shield Darter
Number of Sites
1
2
3
4
5
6
7
8
9
10
Number of Shield Darter​

Answers

The median for this given data set is 5.

To find the median for a set of data, you need to first arrange the data in numerical order. Then, you locate the middle value to find the median. Therefore the median is 5.

what is the formula for area of a triangle

Answers

Answer:

A = [tex]\frac{1}{2}[/tex]bh

Step-by-step explanation:

The area of a triangle is defined as half the product of its base by its height.

A = [tex]\frac{1}{2}[/tex]bh

If you do not know the height but you know the length of the three sides of the triangle you can use Heron's formula to find the area

If the lengths of the sides are a, b, c then the area is

[tex]A = \sqrt{s(s-a)(s-b)(s-c)}[/tex]

Where

[tex]s =\frac{a+b+c}{2}[/tex]

You do length x width (for triangles its called base x height) and divide the product by 2

What is the value of z in the equation 2(4z -9 -7) = 166 -46?

A. 19
B. 21
C. 26
D. 34

10 points for the answer.

Answers

Answer:

A. 19

Step-by-step explanation:

2(4z -9 -7) = 166 -46

First combine like terms

2(4z -16) = 120

Divide each side by 2

2/2(4z -16) = 120/2

4z-16=60

Add 16 to each side

4z-16+16 = 60+16

4z = 76

Divide each side by 4

4z/4 = 76/4

z = 19

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