Consider the following data set with a mean of 12: 9, 11, 12, 16 Using the equation below or the standard deviation formula in Excel, calculate the standard deviation for this data set. Answer choices are rounded to the hundredths place. s equals square root of fraction numerator 1 over denominator n minus 1 end fraction sum from i equals 1 to n of open parentheses X subscript i minus X with bar on top close parentheses squared end root

Answers

Answer 1

Answer:

1.83

Step-by-step explanation:

Consider The Following Data Set With A Mean Of 12: 9, 11, 12, 16 Using The Equation Below Or The Standard
Answer 2

The standard deviation of given data set rounded to the hundredth place is 2.55

Given data set is: 9, 11, 12, 16

The mean of the data set is 12.

The formula for standard deviation is written as:

[tex]\sigma = \sqrt{{\sum^\:n}_{i=1}{\dfrac{(x_i-\overline{x})^2}{n}}\\[/tex]

here n = 4 and x assumes 9, 11, 12 and 16 and mean is 12, thus putting values in the given formula,

[tex]\sigma = \sqrt{\dfrac{[(9-12)^2 + (11-12)^2 + (12-12)^2 + (16-12)^2]}{4}}\\\sigma = \sqrt{\dfrac{[3^2 + 1^2 + 4^2]}{4}}\\\sigma = \sqrt{\dfrac{26}{4}}\\\sigma = \sqrt{6.5}\\\sigma = 2.549..\\\sigma \approx 2.55[/tex]

Thus, standard deviation of given data set rounded to the hundredth place is 2.55

Learn more here:

https://brainly.com/question/12402189


Related Questions

what is the area of triengle if b=6cm and h=4 cm.


please explain it and do all the process

Answers

Answer:

area= 1/2(6)(4)= 3*4=12

Step-by-step explanation:

area of a triangle is 1/2 the base times the height

Answer:

Area=12cm²

Step-by-step explanation:

height =4cm,base=6cm.

A=h×b/2

=4cm×6cm/2

=24cm/2

=12cm²

The perimeter of a scalene triangle is 14.5 cm. The longest side is twice that of the shortest side. Which equation can be used to find the side lengths if the longest side measures 6.2 cm?

Answers

Answer:

[tex] 9.3 + b = 14.5 [/tex]

Step-by-step explanation:

Longest side of ∆ = 2a = 6.2 cm

If the shortest side is, a, and we are told that the longest side is twice the shortest side, therefore, length of shortest side is

The sum of the 3 sides = perimeter = 14.5 cm

Thus,

[tex] a + 2a + b = 14.5 cm [/tex]

Plug in the values of a and b

[tex] 3.1 + 6.2 + b = 14.5 [/tex]

The equation that can be used to find the side lengths is [tex] 9.3 + b = 14.5 [/tex]

I NEED YOUR HELP PLS

Answers

Answer:

For question 1 you can try dividing each of the value

For instance, you can divide 9 by 25 and see if you get a nice number

e.g. 1/8=0.125, numbers like these

For the second question, you can find the fraction by dividing 1000 starting with the decimal points

e.g 0.650, you would be plotting 650/1000 and you would simplify the fraction to the lowest value any value above the decimal point you can multiply by the denominator and add the nominator value to get your final answer.

Step-by-step explanation:

Answer:

Write the denominator in its prime factors. If the prime factorization of the denominator of a fraction has only factors of 2 and factors of 5, the decimal expression terminates.  If there is any prime factor in the denominator other than 2 or 5, then the decimal expression repeats.

example: 9/25

25 = 5*5, so it will be terminating

example: 7/12

12 = 3*2*2, which contains a 3, so it will be repeating.

what is the value of the expression below when x= 5 and y= 5? 6x - 6y

Answers

Step-by-step explanation:

since, x = 5 and y = 5

we substitute the values to the equation 6x - 6y

So:

6(5) - 6(5)

= 30 - 30

= 0

I hope this helps!

Step-by-step explanation:

IS 0 thanks me latter:))!

Is 64 a rational number or irrational?

Answers

Answer:

Step-by-step explanation:

the answer is irrational hope this helps

Answer:

Rational.

Step-by-step explanation:

64 is a rational number because it's a whole number. Irrational numbers are real numbers including: [tex]\pi, \sqrt{2}[/tex], and etc. Basically, rational numbers are anything that can be expressed as the quotient of two integers: 64/1

Kelli swam upstream for some distance in one hour. She then swam downstream the same river for the same distance in only 6 minutes. If the river flows at 5 km/hr, how fast can Kelli swim in still water?

Answers

Answer:

6.11km/hr

Step-by-step explanation:

Let the speed that Kelli swims be represented by Y

Speed of the river = 5km/hr

Distance = Speed × Time

Kelli swam upstream for some distance in one hour

Swimming upstream takes a negative sign, hence:

1 hour ×( Y - 5) = Distance

Distance = Y - 5

She then swam downstream the same river for the same distance in only 6 minutes

Downstream takes a positive sign

Converting 6 minutes to hour =

60 minutes = 1 hour

6 minutes =

Cross Multiply

6/60 = 1/10 hour

Hence, Distance =

1/10 × (Y + 5)

= Y/10 + 1/2

Equating both equations we have:

Y - 5 = Y/10 + 1/2

Collect like terms

Y - Y/10 = 5 + 1/2

9Y/10 = 5 1/2

9Y/ 10 = 11/2

Cross Multiply

9Y × 2 = 10 × 11

18Y = 110

Y = 110/18

Y = 6.1111111111 km/hr

Therefore, Kelli's can swim as fast as 6.11km/hr still in the water.

PT.1     Kelli swam upstream for some distance in one hour. She then swam downstream the same river for the same distance in only 6 minutes. If the river flows at 5 km/hr, how fast can Kelli swim in still water?

Choose the most logical value for the variable to represent.

Let x = Kelli's swimming speed in still water

PT.2    Which expression represents the distance Kelli traveled upstream?

1(x – 5)

PT.3     Which expression represents the distance Kelli traveled downstream?

0.1(x + 5)

PT.4     Solve the equation x – 5 = 0.1(x + 5) for x. Round your answer to the nearest hundredth.  Kelli can swim about 6.11  km/hour.

What is 3/10 divided by 6

Answers

Hey there!

3 ÷ 10 is 0.3

So, 0.3 ÷ 6 = x

x = 0.05

Hope this helps! Have a wonderful day!

Answer: 0.05 or [tex]\frac{1}{20}[/tex]

Step-by-step explanation:

We can solve this in 2 ways :

1st Method :

In the first method, we will keep 3/10 as a fraction

[tex]\frac{3}{10}[/tex] ÷ 6

= [tex]\frac{3}{10}[/tex] × [tex]\frac{1}{6}[/tex]

Since 3 and 6 is divisible, we can cancel them

Answer: [tex]\frac{1}{20}[/tex] or 0.05

2nd Method :

3 ÷ 10 =0.3

0.3 ÷ 6

=0.05

A 2-column table with 8 rows. The first column is labeled x with entries negative 6, negative 5, negative 4, negative 3, negative 2, negative 1, 0, 1. The second column is labeled f of x with entries 34, 3, negative 10, negative 11, negative 6, negative 1, negative 2, negative 15. Using only the values given in the table for the function, f(x), what is the interval of x-values over which the function is increasing? (–6, –3) (–3, –1) (–3, 0) (–6, –5)

Answers

Answer:

Step-by-step explanation:

The only place that the function is increasing is [-3, -1] (learn your interval notation). At x = -3, y = -11; at x = -2, y = -6 (-6 is greater than -11); and at x = -1, y = -1 (-1 is greater than -6). The next x value, 0, returns a y value of -2. But -2 is less than -1, the value before it, so it begins deceasing again at x = 0.

Based on the values given in the table for f(x), the interval of x-values that show the function increasing is (-3, -1).

Which interval shows the function increasing?

The value of f(x) was decreasing from 34 until it got to -11 where it then started to rise again. The relevant value of x here is -3.

The value then began to rise until it reached -1 where it then fell to -2. The x value here is -1.

The interval of x-values where the function is increasing is therefore (-3, -1).

Find out more on intervals of x-values at https://brainly.com/question/26680949.

#SPJ5

When x + y = 30 and x < 13, which of the following must be true?
y = 30
y > 17
y = 17
y < 17
y > 30

Answers

Answer:

y>17

Step-by-step explanation:

[tex]x + y = 30 \\ 13 + y = 30 \\ y = 17 \\ for \: x < 13 \\ y > 17[/tex]

Answer:

y>17

Step-by-step explanation:

x+y=30

x<13

What + 13 is 30?

17. So if x+y=30. Because x will be less than 13, y must make up the differnce by being greater than 17.

Ex: x=12

y+12=30

y=18

18 is greater than 17.

This is a great way to check because if your not sure, it elimates the other options!

Hope this helps!

I need help ASAP!!People that now what there doing

Answers

ANSWER: V=167.5

EXPLANATION: Input the radius and height given in the problem and plug into the cone volume formula attached below!

Find the perimeter of the figure.
31 cm
18 cm
25 cm
Drawing not to scale
C.
b. 80 cm
68 cm
d.
87 cm
a.
74 cm
I need help!

Answers

41:-

Its a triangle

[tex]\\ \sf\longmapsto Perimeter=31+18+25[/tex]

[tex]\\ \sf\longmapsto Perimeter=48+25[/tex]

[tex]\\ \sf\longmapsto Perimeter=73cm[/tex]

42:-

Its rectangle

[tex]\\ \sf\longmapsto Perimeter=2(L+B)[/tex]

[tex]\\ \sf\longmapsto Perimeter=2(15+10)[/tex]

[tex]\\ \sf\longmapsto Perimeter=2(25)[/tex]

[tex]\\ \sf\longmapsto Perimeter=50ft[/tex]

Answer:

a and c

Step-by-step explanation:

The perimeter is the sum of the 3 sides, that is

perimeter = 25 + 18 + 31 = 74 cm → a

-------------------------------------------------------------------

The opposite sides of a rectangle are equal, so

perimeter = (2 × 10) + (2× 15) = 20 + 30 = 50 ft → c

Which equation results from taking the square root of both sides of (x – 9)2 = 81?

x – 9 = ±9
x + 9 = ±9
x + 3 = ±9
x – 3 = ±9
Mark this and return

Answers

Step-by-step explanation:

Hi there!

Given;

(x-9)² = 81........(i)

Take whole square right side;

(x-9) = ±√(81)

(x-9) = ±9

Therefore, the answer is option A.

Hope it helps!

You roll a six-sided number cube and flip a coin. What is the probability of rolling a number greater than 1 and flipping heads? Write your answer as a fraction in simplest form.

Answers

Answer:

5/12

Step-by-step explanation:

Number cube:

Numbers greater than 1 → 5 options out of 6

Coin:

Heads → 1 out of 2

Required probability:

P(>1 & H) = 5/6*1/2 = 5/12

Answer: Probability of rolling a number more than one: 5/6

Probability of heads: 1/2

Probability of both: 1/2 + 5/6 = 4/3

Step-by-step explanation:

What is the radius of one of the circles?

Answers

Answer:

[tex]\sqrt{3}[/tex]

Step-by-step explanation:

[tex]\frac{2\sqrt{3} }{2}=\sqrt{3}[/tex]

I hope this helps!

pls ❤ and give brainliest pls

Lucia quiere repartir 4/5 litros de leche entre sus dos hijos en partes iguales. ¿Cuánto le dará a cada hijo?

Answers

Maybe speak American

How would you write 845 as a multiplication expressions
A.
8x5
B.
8x8x8x8x8
O c. 5x5x5x5x5x5x5x5

Answers

Answer:

13x13x5

Step-by-step explanation:

We can write 845 as

845 = 13 x 13 x 5

because

845 = (13x13) x5 = 169 x5 = 845

so the expression is

13 x 13 x 5

Find the discount and the selling price, when:
(ii) the printed price =₹12750, discount= 25/3%

Answers

Answer:

12,741.66666

Step-by-step explanation:

12750 - 25/3%

= 12,741.66666

hi i need help once again lol A company asked its employees how much time they spend reading and responding to email. The line plot displays the employees' responses. How many total hours do the employees spend using email?

Answers

Answer:

C

Step-by-step explanation:

you multiply each dot by the fraction of hours it is under. you add everything up and you should get 66/8 which is equivalent to 8 and 1/4

Answer:

Is c

Step-by-step explanation:

For plato Users

You see Bonnie rock climbing El Capitan. On your telescope is a clinometer. The angle
of elevation is 20 degrees. You know you are standing 950 feet away from El Capitan.
How high up is Bonnie?

Answers

Answer:

≈ 345.8 ft

Step-by-step explanation:

There is a right triangle formed by Bonnie's height (h) the ground and the angle of elevation.

Using the tangent ratio in the right triangle

tan20° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{h}{950}[/tex] ( multiply both sides by 950 )

950 × tan20° = h , thus

h ≈ 345.8 ft ( to 1 dec. place )

A line passes through the given points. Write an equation for the line in point-slope form. Then rewrite the equation in slope-intercept form. (4, –2), (9, –8)

Answers

Answer:

Step-by-step explanation:

(-8+2)/(9-4)= -6/5

y + 2 = -6/5(x - 4)

y + 10/5 = -6/5x + 24/5

y = -6/5x + 14/5

Combine like terms to simplify the following polynomial.

x + y + z + x + 2z + 3y

2x + 4y + 3z


9xyz


4x + 2y + 3z


x2 + y4 + z3

Answers

Step-by-step explanation:

Answer 1

x+x+y+3y+z+2z

2x+4y+3z

Answer 2

2x+4y+3z

( no like terms are there so it cannot be added)

Answer 3

9xyz

last two answers will also be similar as the question because unlike terms cannot be added..

Given the following venn diagram, choose the correct set for M

Answers

Answer:

M contains 3,4,7,9

M bar is 2 ,5 ,6 ,8

Step-by-step explanation:

The set for M is what is in the circle labeled M

M contains 3,4,7,9

The question in the picture asks for M bar which is what is not contained in M

M bar is 2 ,5 ,6 ,8

TIME REMAINING
53:07
Solve for w.

5w + 9z = 2z + 3w

w = w equals negative StartFraction 7 Over 2 EndFraction z.z
w = w equals negative StartFraction 2 Over 7 EndFraction z.z
w = –2z
w = –7z

Answers

Answer:

w=-7/2z

Step-by-step explanation:

to solve for w you firstly have to group the like terms

5w-3w=2z-9z

2w=-7z

then you have to divide both sides by 2 inorder to remain with w on one side.

2w/2=-7/2

w=-7/2

I hope this helps

Answer:

A. w = (-7/2)z or w equals negative StartFraction 7 Over 2 EndFraction z

Step-by-step explanation:

5w + 9z = 2z + 3w5w - 3w = 2z - 9z2w = - 7zw = (-7/2)z

Correct choice is A

1. What is the formula for the circumference using the radius below?

Answers

Answer:

The formula for the circumference of a circle is  

2

π

r

so all we have to do is plug in 5 for our radius:  

2

π

(

5

)

which can be simplified to  

10

π

.

Step-by-step explanation:

Divide. Write your answer as a fraction in simplest form. − 1/5÷20=

Answers

Answer:

-0.01

Step-by-step explanation:

hope it can work for you mark me as a brain liest plz like and follow me guys

Answer:

-0.01

Step-by-step explanation:

pls help will give brainly

Answers

Answer:

-8

Step-by-step explanation:

Since x = -18, we use the top formula

f(-18) = (x-6)/3

        = (-18-6)/3

        = -24/3

       = -8

Order the following numbers from smallest to largest?



25, 10, -15, 0, -5

-5, -15, 0, 10, 25
0, -5, 10, -15, 25
-15, -5, 0, 10, 25
0, -5, -15, 10, 25

Answers

-15, -5, 0, 10, 25



Hope this helps :)

Answer:

-15,-5,0,10,25

Step-by-step explanation:

Help!!
Slove for x.
A.11
B.9
C.13
D.14

Answers

Answer:

x = 11

Step-by-step explanation:

Given 2 secants to a circle from an external point , then

The product of the external part and the whole of one secant is equal to the product of the external part and the whole of the other secant, that is

7(7 + x) = 6(6 + 15) ← distribute left side

49 + 7x = 6 × 21 = 126 ( subtract 49 from both sides )

7x = 77 ( divide both sides by 7 )

x = 11

plz hurry thank you!

Answers

Greetings from Brasil...

According to the properties of the radiation:

X^(a/b) = [tex]\sqrt[b]{X^a}[/tex]

So

X^(2/3) = [tex]\sqrt[3]{X^2}[/tex]

And

Y^(-3/4) = 1/Y^(3/4)

so 1/Y^(-3/4) = Y^(3/4) = [tex]\sqrt[4]{Y^3}[/tex]

Then we get

[tex]\sqrt[2]{X^3} .\sqrt[4]{Y^3}[/tex]

8y-2d=0 5y+4d=26 1/4

Answers

Answer:

y = 1

d = 4

Step-by-step explanation:

8y - 2d = 0 ---------------(I)

5y + 4d = 26 1/4

5y + 4d =  105/4  ------------------(II)

(I)*2      16y  - 4d = 0

(II)          5y + 4d = 105/4      {add (I) &(II)}

             21y        = 105/4

[tex]y = \frac{105}{5*21}\\\\y=\frac{105}{105}\\\\y = 1[/tex]

Substitute y =1 in equation (I)

8*1 - 2d = 0

8 - 2d = 0

   -2d = -8

      d = -8/-2

d = 4

Answer:

  (y, d) = (1.25, 5)

Step-by-step explanation:

We can add twice the first equation to the second.

  2(8y -2d) +(5y +4d) = 2(0) +26 1/4

  21y = 26 1/4

  y = (105/4)/21 = 105/84 = 5/4

  8(5/4) -2d = 0

  5 = d . . . . . . . . . . add 2d, divide by 2

The solution to this system of equations is ...

  y = 5/4, d = 5

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