Consider the following sample data: 12, 13, 7, 5, 15, 18. Which one of the following represents the value of the standard deviation?

Answers

Answer 1

Answer:

Standard deviation= 4.46

B) 4.89 is the nearest answer

Step-by-step explanation:

Standard deviation √variance

Variance= (summation (x-mean)²)/n

Mean= summation of numbers/total

Mean =( 12+13+ 7+5+15 18)/6

Mean= 70/6

Mean= 11.67

Variance=(( 12-11.67)²+(13-11.67)²+ (7-11.67)²+(5-11.67)²+(15-11.67)²+ (18-11.67)²)/6

Variance= (0.1089+1.7689+21.8089+44.4889+11.0889+40.0689)/6

Variance= 119.3334/6

Variance= 19.8889

Standard deviation= √variance

Standard deviation= √19.8889

Standard deviation= 4.46


Related Questions

Which of the following statements are not true about parallelograms?
Select all that apply.

1. The area of a parallelogram is half of the product of its length and width.

2. The angles formed by the diagonals of a parallelogram are complementary to each
other.

3. The diagonals of a parallelogram bisect each other.

4. A diagonal divides a parallelogram into two congruent triangles.

5. Two consecutive angles of a parallelogram are supplementary.

Answers

9514 1404 393

Answer:

  1, 2

Step-by-step explanation:

1. The area of a parallelogram is the product of length and width. The given statement is FALSE.

2. The angles formed by the diagonals are linear pairs, so supplementary. The given statement is FALSE.

3. TRUE

4. TRUE

5. TRUE

__

Statements 1 and 2 are not true.

A new car is purchased for 20700 dollars. The value of the car depreciates at 11% per year. What will the value of the car be, to the nearest cent, after 11 years?

Answers

Answer:

The answer for that is 5744.61

A person is walking at a rate of 9 feet every 4 seconds.
(a) Find their speed, i.e. the rate the distance

Answers

Answer:

v = 2.25 ft/s

Step-by-step explanation:

Given that,

A person is walking at a rate of 9 feet every 4 seconds.

We need to find their speed. We know that, the speed of total distance divided by time taken. So,

[tex]v=\dfrac{d}{t}\\\\v=\dfrac{9\ ft}{4\ s}\\\\v=2.25\ ft/s[/tex]

So, the speed is 2.25 ft/s.

Answer the attachment please

And subscribe to Offxcial Prxmiise
X=8 and y=3

Answers

Answer:

73

Step-by-step explanation:

8^2+3^2=64+9=73

Identify a secant that contains a diameter of M

Answers

Answer: AC

Explanation:
A secant is a line that touches two points on the circles edge. Unlike a chord, a secant will go beyond the circles edge. By that definition, AD and AM are eliminated. The secant must also go through the point M since that is the midpoint. The diameter always goes through the midpoint. AB doesn’t go through M. However, AC does successfully meet all the requirements. It has two points on the circle, the line goes farther than the circles edge, and the line passes through the point M.

Answer:

A. AC

Step-by-step explanation:

Ezra’s dad is building a cover for his sandbox. The sandbox is in the shape of a kite as shown.

A kite has a width of 6 feet and a height of 4 feet.’

What is the area of the sandbox cover?
6 square feet
12 square feet
18 square feet
24 square feet

Answers

Answer:

12

Step-by-step explanation:

its either 12 or 18 try 12 first

William receives a weekly allowance according to the following formula: For each day that he remembers to do his chores, he eams 51.50, and for each day that he doesn't remember to do his chores, he loses
50.25. What amount of allowance would William receive for a week in which he remembers to do his chores on five days and forgets to do them on two days?

Answers

answer = 150.75

50.25 * 5 = 251.25
50.25 * 2= 100.5
251.25-100.5= 150.75

Help!!! Find c.
Round to the nearest tenth:

Answers

Answer:

[tex]c = 14.9cm[/tex]

Step-by-step explanation:

Given

[tex]b = 10cm[/tex]

[tex]B = 12^{\circ}[/tex]

[tex]A = 150^{\circ}[/tex]

Required

Determine the length of c

First, we calculate C (the third angle of the triangle).

[tex]C = 180 - A - B[/tex]

[tex]C = 180 - 150 - 12[/tex]

[tex]C = 18^{\circ}[/tex]

Using Sine's law, we make use of:

[tex]\frac{sin\ B}{b} = \frac{sin C}{c}[/tex]

By substituting values, we have:

[tex]\frac{sin\ 12}{10} = \frac{sin 18}{c}[/tex]

Cross multiply

[tex]c* sin\ 12 = 10 * sin\ 18[/tex]

Make c the subject

[tex]c = \frac{10 * sin\ 18}{sin\ 12}[/tex]

[tex]c = \frac{10 * 0.3090}{0.2079}[/tex]

[tex]c = 14.9cm[/tex] approximated

Use basic facts and place value to find the quotient.
450 • 9 =
Your answer

Answers

Answer is 50 because if you going divide by 9 and also you can factor it with 5 also.

What impact did the American Revolution have on Haiti?
What impact did the Haitian Revolution have on the United States?
Please help

Answers

Answer:

What impact did the American Revolution have on Haiti? The American Revolution occurred first and in part inspired the Haitian and French Revolutions. ... The Haitian Revolution was the first and only slave uprising that led to the establishment of a free state without slavery and ruled by non-whites and former slaves.

What impact did the Haitian Revolution have on the United States?The Haitian Revolution had many international repercussions. It ended Napoleon's attempts to create a French empire in the Western Hemisphere and arguably caused France to decide to sell its North American holdings to the United States (the Louisiana Purchase)—thus enabling the expansion of slavery into that territory.

Step-by-step explanation:

BRAINLIST PLEASE!!

Reflect (5,-5) in (a) the x-axis and (b) the y-axis.

Answers

Answer:

a. (5,5)

b. (-5,-5)

Step-by-step explanation:

reflection over x-axis flips the sign of y-coordinate

reflection over y-axis flips the sign of x-coordinate

describe the transformations of the following functions from their parent function​

Answers

Answer:

see explanation

Step-by-step explanation:

22

- [tex]\sqrt{x}[/tex] is a reflection of [tex]\sqrt{x}[/tex] in the x- axis

Given f(x) then f(x) + c is a vertical translation of f(x)

• If c > 0 then a shift up of c units

• If c < 0 then a shift down of c units

Thus

g(x) = - [tex]\sqrt{x}[/tex] - 4

is a reflection in the x- axis, followed by a vertical translation 4 units down

23

Given f(x) then f(x + a) is a horizontal translation of f(x)

• If a > 0 then a shift left of a units

• If a < 0 then a shift right of a units

Thus

h(x) = [tex]\sqrt[3]{x+1}[/tex] + 5

is a horizontal translation 1 unit left and a vertical translation of 5 units up

Answer:

22

- \sqrt{x}

x

is a reflection of \sqrt{x}

x

in the x- axis

Given f(x) then f(x) + c is a vertical translation of f(x)

• If c > 0 then a shift up of c units

• If c < 0 then a shift down of c units

Thus

c(x)=85x+600 find C(25)

Answers

Answer:

Step-by-step explanation:

c(25) = 85(25) + 600 = 2725

To offset college expenses, at the beginning of your freshman year you obtain a nonsubsidized student loan for $15,000. Interest on this loan accrues at a rate of 4.11% compounded monthly. However, you do not have to make any payments against either the principal or the interest until after you graduate.

Required:
a. Write a function that gives the total amount, F, you will owe on this loan after t years in college. F(t) = ?
b. What is the APR?%
c. What is the APY? (Round your answer to two decimal places.)

Answers

Answer:

15000(1.003425)^12t ;

4.11%

4.188%

Step-by-step explanation:

Given that:

Loan amount = principal = $15000

Interest rate, r = 4.11% = 0.0411

n = number of times compounded per period, monthly = 12 (number of months in a year)

Total amount, F owed, after t years in college ;

F(t) = P(1 + r/n)^nt

F(t) = 15000(1 + 0.0411/12)^12t

F(t) = 15000(1.003425)^12t

2.) The annual percentage rate is the interest rate without compounding = 4.11%

3.)

The APY

APY = (1 + APR/n)^n - 1

APY = (1 + 0.0411/12)^12 - 1

APY = (1.003425)^12 - 1

APY = 1.04188 - 1

APY = 0.04188

APY = 0.04188 * 100% = 4.188%

Sylvia set a goal of saving at least $200 in a savings account.
She currently has $60 in the account. If she invests $5 of her weekly allowance per
week, how many weeks will it take her to reach her goal?
Define the variable.

Answers

Answer:

twenty eight more weeks till$200

so she needs to save 200 she has 60 in the account she invests 5 per let’s use x as a variable so she invests 5 per x weeks until she reaches 200 hope this helps

Select the ordered pairs that are solutions to the system of inequalities {y≤-2x+6x−y<6.


Select all that apply.

Answers

Answer:

(1.5, 0)

Step-by-step explanation:

Given the system of inequalities y≤-2x+6x−y<6.

separating the inequality

y≤-2x+6x−y

Get the y intercept. This occurs at x = 0

y≤-2(0)+6(0)−y

y = - y

y+y = 0

2y = 0

y = 0

Get the x intercept. This occurs at y = 0

-2x+6x−y<6

-2x+6x−0<6

4x < 6

x < 6/4

x < 3/2

x < 1.5

Hence the ordered pair is (1.5, 0)

Type the missing number that makes these fractions equal:
6
4.
8
Submit

Answers

Yes yes you princess and you have to do that you have a baby shower you princess baby

if x+y=z which property is used? ​

Answers

Answer:

addition

Step-by-step explanation:

Answer:

Addition??

Yeah maybe in what terms?

A copy machine makes 102 copies in 4 minutes and 15 seconds how many copies did it make per minute ​

Answers

Answer:

24 pages

Step-by-step explanation:

102 copies in 4 1/4 minutes

102 / 1 ÷ 17 / 4

102 / 1 × 4 / 17 = 24

PLEASE HELP !!! ILL GIVE BRAINLIEST!! *DONT SKIP* ILL GIVE 40 POINTS.

Answers

Answer:

5.5

Step-by-step explanation:

The answer is 5.5 to you answer.hope it helps

.3x+.65 x 175=.50(x+175)
Can you please explain this step by step? Kinda confused about how to figure it out.

Answers

Answer:

[tex]x=131.25[/tex]

Step-by-step explanation:

[tex]0.3x+0.65*175=0.5(x+175)[/tex]

[tex]0.3x+113.75=0.5x+87.5[/tex] (Simplify both sides of the equation by multiplying on the LHS and distributing on the RHS)

[tex]0.3x+113.75-0.5x=0.5x+87.5-0.5x[/tex] (Subtract [tex]0.5x[/tex] from both sides of the equation to get all [tex]x[/tex] terms to one side)

[tex]-0.2x+113.75=87.5[/tex] (Simplify)

[tex]-0.2x+113.75-113.75=87.5-113.75[/tex] (Subtract [tex]113.75[/tex] from both sides of the equation to isolate [tex]x[/tex])

[tex]-0.2x=-26.25[/tex] (Simplify)

[tex]\frac{-0.2x}{-0.2} =\frac{-26.25}{-0.2}[/tex] (Divide both sides of the equation by [tex]-0.2[/tex] to get rid of [tex]x[/tex]'s coefficient)

[tex]x=131.25[/tex] (Simplify)

Hope this helps!

Find the degree measure of the indicated angle.
?
43°
75°

Answers

62° because you have to get 180° so 43+75=118 so subtract that from 180

what is a bar diagram​

Answers

Answer:

A bar graph shows amounts as bars of different sizes and, sometimes, of different colors. Longer bars represent larger numbers.

please help i cany figure this one out​

Answers

Answer:

acute angle

Step-by-step explanation:

Big brain

Answer:

Adjacent

Step-by-step explanation:

is 0.3 greater than 0.38

Answers

no, .38 is .08 greater than .3

Answer:

No

Step-by-step explanation:

Because 0.38 is 0.08 more than 0.3.

Alberto left the airport and traveled toward the capital. One hour later Danielle left traveling 10 km/h faster in an effort to catch up to him. After five hours Danielle finally caught up. What was Alberto's average speed?​

Answers

Answer:

Step-by-step explanation:

Alberto traveled v km/h.

After 1 hour they are v km apart.

Danielle travels (v+10) km/h.

The distance between them decreases by 10 km/h.

They meet in 5 hours, after Danielle has traveled 5v+50 km and Alberto has traveled 6v km.

6v = 5v+50

v = 50 km/h

Alberto travels 50 km/h

What is 25 % of 200?

Answers

The answer is 50.

Hope this helped!

Answer:

50

Step-by-step explanation:

25/100 × 200

= 25×2

=50

How do I solve 10x = 100

Answers

Answer:

x = 10 since 10 x 10 = 100

Step-by-step explanation:

Por favor si alguien sabe pliss
(escriba si o no)

Answers

Answer:

Respuesta: SI

Step-by-step explanation:

Números Racionales

Un número pertenece al conjunto de los números racionales (Q) si se puede expresar como una fracción de denominador diferente de cero, es decir, x es racional si:

[tex]\displaystyle x=\frac{a}{b}[/tex]

Donde a y b son número enteros y además b es diferente de cero

el número

[tex]\displaystyle -\frac{3}{5}[/tex]

Tiene un numerador igual a 3 y un denominador igual a 5 (independientemente del signo), por lo tanto cumple con las dos condicines y es efectivamente un número racional.

Respuesta: SI

Explain how you could find the difference of 1 and 0.1978.​

Answers

Answer:

0.8022

Step-by-step explanation:

difference=subtraction

so we take 1 - 0.1978 and it equals 0.8022

It doesn’t == to that thi watch the number
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